Details

analyze79.0ms (0.6%)

Algorithm

1×

Search

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.8s (12.3%)

Results

1.7s

8256×

body

256

valid

Bogosity

preprocess101.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

810×	`distribute-rgt-in_binary64`
782×	`distribute-lft-in_binary64`
670×	`+-commutative_binary64`
612×	`associate-l_binary64`
531×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	80
1	65	76
2	165	76
3	837	74
4	5205	74
5	5999	74
6	6366	74
7	7042	74
8	7596	74
9	7609	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 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 beta alpha) (.f64 alpha beta)) 1) (+.f64 (+.f64 beta alpha) (.f64 2 1))) (+.f64 (+.f64 beta alpha) (.f64 2 1))) (+.f64 (+.f64 (+.f64 beta alpha) (.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))))

Symmetry

(sort alpha beta)

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify138.0ms (1%)

Algorithm

1×	egg-herbie

Rules

681×	`distribute-rgt-in_binary64`
661×	`distribute-lft-in_binary64`
485×	`associate-l_binary64`
473×	`associate-/l/_binary64`
389×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	36	38
2	117	38
3	624	37
4	4304	37
5	4993	37
6	5254	37
7	5793	37
8	6311	37
9	6324	37
10	6554	37
11	6681	37
12	6824	37
13	7124	37
14	7928	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 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta beta) (+.f64 alpha 1)) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

eval2.0ms (0%)

Compiler: Compiled 62 to 40 computations (35.5% saved)

prune3.0ms (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

4.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.1b	(/.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))
▶	11.0b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

Status

Error

Program

▶

4.1b

(/.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))

▶

11.0b

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

Compiler

Compiled 64 to 43 computations (32.8% saved)

localize60.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))
✓	0.0b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))
✓	10.9b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

New

Error

Program

✓

0.0b

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

✓

0.0b

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

✓

10.9b

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

Compiler

Compiled 89 to 54 computations (39.3% saved)

series33.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	beta	@	0	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
6.0ms	alpha	@	0	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
5.0ms	alpha	@	-inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
4.0ms	beta	@	inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
3.0ms	alpha	@	inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

rewrite109.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	397	66
2	6651	66

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

Inputs

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

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

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

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

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

simplify139.0ms (1%)

Algorithm

1×	egg-herbie

Rules

497×	`distribute-rgt-in_binary64`
487×	`distribute-lft-in_binary64`
407×	`fma-def_binary64`
326×	`associate-+r+_binary64`
276×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	5364
1	1346	4848
2	7170	4797

Stop Event

1×	node limit

Counts

212 → 244

Calls

Call 1

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

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)
✓	0.0b	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
✓	0.1b	(/.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))
✓	3.8b	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1)))

Compiler

Compiled 124 to 60 computations (51.6% saved)

series32.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	alpha	@	-inf	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1)))
4.0ms	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)))
3.0ms	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))
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	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)))

rewrite118.0ms (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	5771	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
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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 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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)))))

simplify121.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

712×	`distribute-rgt-in_binary64`
704×	`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	2208	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))))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (+.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 7 (+.f64 alpha (.f64 2 alpha))) (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 beta 2)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 alpha) 1))) (pow.f64 beta 3))) (.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 alpha) 1))))) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 alpha) 1))) (pow.f64 beta 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 alpha) 1))) (pow.f64 beta 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 beta 2)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 alpha) 1))))) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 alpha) 1))) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 alpha) 1))))) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 alpha) 1))) (pow.f64 beta 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 alpha) 1))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 alpha) 1))) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 5))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (-.f64 (.f64 -1 alpha) 1) (+.f64 3 alpha))) (pow.f64 beta 5)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 beta 2))))))))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(.f64 -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)) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 alpha alpha) (fma.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 beta (+.f64 beta 2)))))
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(+.f64 (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)) (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))))))) (.f64 2 (/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (fma.f64 -1 alpha -1)))))
(+.f64 (+.f64 (fma.f64 -2 (/.f64 (+.f64 2 alpha) (/.f64 (pow.f64 beta 3) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (.f64 (-.f64 -1 alpha) -2))))) (/.f64 1 (.f64 beta beta))) (+.f64 (/.f64 alpha (.f64 beta beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (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 2 alpha) (/.f64 (pow.f64 beta 3) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (.f64 (-.f64 -1 alpha) -2))))) (/.f64 1 (.f64 beta beta))) (+.f64 (-.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (-.f64 -1 alpha))) (/.f64 (fma.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (.f64 (-.f64 -1 alpha) -2))) (.f64 (fma.f64 -2 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (.f64 (-.f64 -1 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 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 3 alpha)
(+.f64 alpha 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)

eval573.0ms (4%)

Compiler: Compiled 30007 to 21687 computations (27.7% saved)

prune116.0ms (0.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	524	20	544
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	526	20	546

Error

0.0b

Counts

546 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.0b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))
	11.6b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
	28.3b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	34.5b	(+.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))))))
	2.2b	(.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) (/.f64 1 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
	61.9b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	2.2b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
	62.6b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	4.1b	(/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	28.9b	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (/.f64 (-.f64 -1 alpha) (/.f64 beta (+.f64 2 alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	2.2b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
▶	61.6b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
	11.0b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))))
	40.0b	(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (pow.f64 beta 3))
▶	30.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	39.8b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
	30.2b	(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
▶	24.2b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	17.3b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha))))))
	33.2b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))

Compiler

Compiled 1302 to 972 computations (25.3% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
✓	0.0b	(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
✓	2.1b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))

Compiler

Compiled 89 to 59 computations (33.7% saved)

series24.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite120.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

414×	`fma-neg_binary64`
363×	`log1p-udef_binary64`
362×	`expm1-udef_binary64`
210×	`add-sqr-sqrt_binary64`
205×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	398	82
2	6730	82

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

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

simplify125.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

768×	`distribute-rgt-in_binary64`
751×	`distribute-lft-in_binary64`
554×	`fma-def_binary64`
333×	`associate-/r*_binary64`
329×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	527	7826
1	2144	7301

Stop Event

1×	node limit

Counts

283 → 333

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (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	2055	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))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 2) (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 expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(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))))))))

simplify170.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
434×	`unswap-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	363	285
6	1349	285
7	2197	285
8	2361	285
9	2545	285
10	2753	285
11	3052	285
12	3443	285
13	3926	285
14	4492	285
15	5182	285
16	6015	285
17	6409	285
18	6697	285
19	6973	285
20	7047	285
21	7081	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))

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	6.0b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
✓	6.5b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 alpha alpha))

Compiler

Compiled 56 to 33 computations (41.1% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite135.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`fma-def_binary64`
402×	`fma-neg_binary64`
300×	`log-div_binary64`
271×	`log1p-udef_binary64`
268×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	311	38
2	5059	38

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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

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

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

738×	`fma-def_binary64`
688×	`distribute-rgt-in_binary64`
657×	`distribute-lft-in_binary64`
631×	`times-frac_binary64`
448×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	2294
1	648	2251
2	2637	2103

Stop Event

1×	node limit

Counts

138 → 144

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.0b

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

✓

0.0b

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

✓

0.1b

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

Compiler

Compiled 63 to 41 computations (34.9% saved)

series20.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
3.0ms	alpha	@	0	(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
1.0ms	beta	@	0	(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
1.0ms	alpha	@	-inf	(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
1.0ms	beta	@	inf	(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`prod-diff_binary64`
595×	`fma-def_binary64`
311×	`fma-neg_binary64`
293×	`log-div_binary64`
241×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	269	35
2	4261	35

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify169.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

370×	`cancel-sign-sub-inv_binary64`
356×	`distribute-rgt-in_binary64`
342×	`distribute-lft-in_binary64`
276×	`distribute-neg-in_binary64`
269×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	3282
1	1117	3075
2	5431	2960

Stop Event

1×	node limit

Counts

125 → 151

Calls

Call 1

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

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

localize94.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
✓	0.0b	(.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)))
✓	0.1b	(.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) 3))
✓	10.9b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))

Compiler

Compiled 141 to 88 computations (37.6% saved)

series24.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	0	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))
3.0ms	beta	@	0	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))
3.0ms	beta	@	inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))
2.0ms	alpha	@	-inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))
2.0ms	alpha	@	inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))

rewrite114.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

384×	`log1p-udef_binary64`
382×	`expm1-udef_binary64`
227×	`add-sqr-sqrt_binary64`
222×	`*-un-lft-identity_binary64`
222×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	121
1	434	79
2	7052	79

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (/.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)) (+.f64 1 beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 alpha 1) (/.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (/.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (.f64 (+.f64 1 beta) (/.f64 1 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 beta) (.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (/.f64 1 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (/.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)) (+.f64 1 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)) (+.f64 1 beta)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (/.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)) (+.f64 1 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (/.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)) (+.f64 1 beta))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) 2) (.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (/.f64 1 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)) (+.f64 1 beta)))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (/.f64 1 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 alpha 1) (neg.f64 (+.f64 1 beta))) (/.f64 1 (neg.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3))) (.f64 (+.f64 alpha 1) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (+.f64 1 beta) (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (+.f64 alpha 1) (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3))) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) 2) 1) (/.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) 1) (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3))) 2)) (/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (cbrt.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) 2) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3))) 2)) (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (cbrt.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (+.f64 alpha beta) 3)))) (/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (sqrt.f64 (.f64 (pow.f64 (+.f64 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simplify159.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

841×	`times-frac_binary64`
592×	`fma-def_binary64`
550×	`distribute-rgt-in_binary64`
540×	`distribute-lft-in_binary64`
448×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	6813
1	1466	5660
2	7754	5659

Stop Event

1×	node limit

Counts

249 → 292

Calls

Call 1

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

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

eval1.1s (7.5%)

Compiler: Compiled 45673 to 33329 computations (27% saved)

prune215.0ms (1.5%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	986	22	1008
Fresh	12	3	15
Picked	1	0	1
Done	3	1	4
Total	1002	26	1028

Error

Counts

1028 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	24.2b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
	31.0b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
	57.0b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
	11.6b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
▶	0.1b	(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta)))
▶	56.3b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
▶	39.8b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
	24.2b	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
	34.5b	(+.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))))))
	39.4b	(/.f64 (/.f64 alpha beta) beta)
	61.6b	(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
	0.1b	(.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	33.0b	(/.f64 1 (*.f64 beta beta))
▶	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))
	33.2b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
▶	62.3b	(/.f64 1 alpha)
✓	30.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	4.5b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	28.3b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	28.0b	(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
	28.3b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
	30.3b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (.f64 2 alpha))))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	13.7b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))
	29.0b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	30.6b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))

Compiler

Compiled 1255 to 944 computations (24.8% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 87 to 58 computations (33.3% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	inf	(/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta)))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))
1.0ms	beta	@	-inf	(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta)))

rewrite146.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`fma-neg_binary64`
365×	`log1p-udef_binary64`
364×	`expm1-udef_binary64`
211×	`add-sqr-sqrt_binary64`
206×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	400	85
2	6778	85

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

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

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

simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

537×	`distribute-rgt-in_binary64`
519×	`distribute-lft-in_binary64`
457×	`fma-def_binary64`
443×	`associate-+r+_binary64`
354×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	464	6472
1	1819	5984

Stop Event

1×	node limit

Counts

268 → 307

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))
✓	2.1b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))

Compiler

Compiled 33 to 24 computations (27.3% saved)

series18.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	alpha	@	-inf	(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))
1.0ms	alpha	@	0	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
0.0ms	alpha	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
0.0ms	alpha	@	-inf	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
0.0ms	alpha	@	0	(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`log-prod_binary64`
346×	`prod-diff_binary64`
335×	`fma-def_binary64`
299×	`pow2_binary64`
209×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	235	26
2	3472	26

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.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 (+.f64 alpha 2) (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 (+.f64 alpha 2) (neg.f64 (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha 2)) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha 3)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha 3)) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (*.f64 (+.f64 alpha 2) (+.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 (+.f64 alpha 2) (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 27 (pow.f64 alpha 3))) (fma.f64 alpha (-.f64 alpha 3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (neg.f64 (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (+.f64 alpha 2)) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (+.f64 alpha 3)) (*.f64 2 (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 alpha 3 6) 1) (*.f64 (*.f64 alpha (+.f64 alpha 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (+.f64 alpha 3)) (*.f64 alpha (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha 3) alpha) (*.f64 (+.f64 alpha 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha 3) 2) (*.f64 (+.f64 alpha 3) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 alpha 3)) (+.f64 alpha 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 alpha 3)) (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 alpha 3)) (+.f64 alpha 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 alpha 3)) (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 27 (pow.f64 alpha 3))) (*.f64 (fma.f64 alpha (-.f64 alpha 2) 4) (fma.f64 alpha (-.f64 alpha 3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 27 (pow.f64 alpha 3))) (*.f64 (-.f64 2 alpha) (fma.f64 alpha (-.f64 alpha 3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 (fma.f64 alpha (-.f64 alpha 2) 4) (-.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 (-.f64 2 alpha) (-.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (fma.f64 alpha (-.f64 alpha 3) 9) (fma.f64 alpha (-.f64 alpha 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (-.f64 3 alpha) (fma.f64 alpha (-.f64 alpha 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (fma.f64 alpha (-.f64 alpha 3) 9) (-.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (-.f64 3 alpha) (-.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 alpha 3 6) 3) (pow.f64 (*.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (pow.f64 (fma.f64 alpha 3 6) 2) (-.f64 (pow.f64 (*.f64 alpha (+.f64 alpha 2)) 2) (*.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 alpha 3 6) 2) (pow.f64 (*.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 alpha 3)) (fma.f64 alpha (-.f64 alpha 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 alpha 3)) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 alpha 2)) (fma.f64 alpha (-.f64 alpha 3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2)) (-.f64 3 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 2) (+.f64 27 (pow.f64 alpha 3))) (fma.f64 alpha (-.f64 alpha 3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 2) (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 3) (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha (-.f64 alpha 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 3) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 (+.f64 alpha 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 alpha 3)) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 alpha (+.f64 alpha 2))) (exp.f64 (fma.f64 alpha 3 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 (+.f64 alpha 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 alpha (+.f64 alpha 2)) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (+.f64 alpha 3) (*.f64 2 (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (+.f64 alpha 3) (*.f64 alpha (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 2) alpha (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 2) 3 (*.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (+.f64 alpha 2) (*.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 3) alpha (*.f64 (+.f64 alpha 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 3) 2 (*.f64 (+.f64 alpha 3) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (*.f64 (cbrt.f64 (+.f64 alpha 2)) alpha) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (*.f64 (cbrt.f64 (+.f64 alpha 2)) 3) (*.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha 2)) (*.f64 (sqrt.f64 (+.f64 alpha 2)) alpha) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha 2)) (*.f64 (sqrt.f64 (+.f64 alpha 2)) 3) (*.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 alpha 3 6) 1 (*.f64 (*.f64 alpha (+.f64 alpha 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (*.f64 alpha (+.f64 alpha 2))) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 3 6)) 2) (cbrt.f64 (fma.f64 alpha 3 6)) (*.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (*.f64 alpha (+.f64 alpha 2))) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 alpha 3 6)) (sqrt.f64 (fma.f64 alpha 3 6)) (*.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 alpha)) (*.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 alpha)) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (*.f64 (sqrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 alpha 2) (sqrt.f64 alpha)) (sqrt.f64 alpha) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (fma.f64 alpha 3 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha 2)))))))

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

811×	`fma-def_binary64`
789×	`distribute-neg-frac_binary64`
692×	`associate-r_binary64`
415×	`times-frac_binary64`
286×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	281
1	101	269
2	250	253
3	648	247
4	1961	244
5	7002	244

Stop Event

1×	node limit

Counts

148 → 147

Calls

Call 1

Inputs
1/6
(+.f64 1/6 (*.f64 1/36 alpha))
(+.f64 1/6 (+.f64 (.f64 1/36 alpha) (.f64 -11/216 (pow.f64 alpha 2))))
(+.f64 (.f64 49/1296 (pow.f64 alpha 3)) (+.f64 1/6 (+.f64 (.f64 1/36 alpha) (*.f64 -11/216 (pow.f64 alpha 2)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (.f64 46 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (.f64 46 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
6
(+.f64 6 (*.f64 5 alpha))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(pow.f64 alpha 2)
(+.f64 (*.f64 5 alpha) (pow.f64 alpha 2))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(pow.f64 alpha 2)
(+.f64 (*.f64 5 alpha) (pow.f64 alpha 2))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))

Outputs
1/6
(+.f64 1/6 (*.f64 1/36 alpha))
(fma.f64 1/36 alpha 1/6)
(+.f64 1/6 (+.f64 (.f64 1/36 alpha) (.f64 -11/216 (pow.f64 alpha 2))))
(+.f64 1/6 (fma.f64 1/36 alpha (.f64 -11/216 (.f64 alpha alpha))))
(fma.f64 1/36 alpha (fma.f64 alpha (*.f64 alpha -11/216) 1/6))
(fma.f64 alpha (fma.f64 alpha -11/216 1/36) 1/6)
(+.f64 (.f64 49/1296 (pow.f64 alpha 3)) (+.f64 1/6 (+.f64 (.f64 1/36 alpha) (*.f64 -11/216 (pow.f64 alpha 2)))))
(fma.f64 49/1296 (pow.f64 alpha 3) (+.f64 1/6 (fma.f64 1/36 alpha (.f64 -11/216 (.f64 alpha alpha)))))
(+.f64 (fma.f64 1/36 alpha (.f64 -11/216 (.f64 alpha alpha))) (fma.f64 49/1296 (pow.f64 alpha 3) 1/6))
(fma.f64 49/1296 (pow.f64 alpha 3) (fma.f64 1/36 alpha (fma.f64 alpha (*.f64 alpha -11/216) 1/6)))
(fma.f64 alpha (fma.f64 alpha -11/216 1/36) (fma.f64 49/1296 (pow.f64 alpha 3) 1/6))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha 49/1296 -11/216) 1/36) 1/6)
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 (/.f64 -4 alpha) alpha))
(-.f64 (+.f64 (.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 14 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 1 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 14 (pow.f64 alpha 3)))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 14 (pow.f64 alpha 3)) (/.f64 (/.f64 -4 alpha) alpha)))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 14 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (.f64 46 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 14 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 46 (pow.f64 alpha 4))))
(+.f64 (/.f64 1 alpha) (+.f64 (+.f64 (/.f64 14 (pow.f64 alpha 3)) (/.f64 -46 (pow.f64 alpha 4))) (/.f64 (/.f64 -4 alpha) alpha)))
(+.f64 (+.f64 (/.f64 1 alpha) (/.f64 14 (pow.f64 alpha 3))) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 46 (pow.f64 alpha 4))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 -4 (.f64 alpha alpha)) (.f64 (/.f64 1 (pow.f64 alpha 3)) (-.f64 14 (/.f64 46 alpha)))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 -46 (pow.f64 alpha 4)) (*.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -14 alpha)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 (/.f64 -4 alpha) alpha))
(-.f64 (+.f64 (.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 14 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 1 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 14 (pow.f64 alpha 3)))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 14 (pow.f64 alpha 3)) (/.f64 (/.f64 -4 alpha) alpha)))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 14 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (.f64 46 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 14 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 46 (pow.f64 alpha 4))))
(+.f64 (/.f64 1 alpha) (+.f64 (+.f64 (/.f64 14 (pow.f64 alpha 3)) (/.f64 -46 (pow.f64 alpha 4))) (/.f64 (/.f64 -4 alpha) alpha)))
(+.f64 (+.f64 (/.f64 1 alpha) (/.f64 14 (pow.f64 alpha 3))) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 46 (pow.f64 alpha 4))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 -4 (.f64 alpha alpha)) (.f64 (/.f64 1 (pow.f64 alpha 3)) (-.f64 14 (/.f64 46 alpha)))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 -46 (pow.f64 alpha 4)) (*.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -14 alpha)))))
6
(+.f64 6 (*.f64 5 alpha))
(+.f64 6 (*.f64 alpha 5))
(fma.f64 alpha 5 6)
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (*.f64 5 alpha) (pow.f64 alpha 2))
(fma.f64 5 alpha (*.f64 alpha alpha))
(*.f64 alpha (+.f64 alpha 5))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (*.f64 5 alpha) (pow.f64 alpha 2))
(fma.f64 5 alpha (*.f64 alpha alpha))
(*.f64 alpha (+.f64 alpha 5))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))
(fma.f64 alpha (+.f64 alpha 5) 6)

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 beta beta))
✓	11.0b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))

Compiler

Compiled 56 to 33 computations (41.1% saved)

series16.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	alpha	@	0	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
1.0ms	alpha	@	inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
1.0ms	alpha	@	-inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
1.0ms	beta	@	0	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
1.0ms	beta	@	-inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`fma-def_binary64`
412×	`fma-neg_binary64`
300×	`log-div_binary64`
271×	`log1p-udef_binary64`
268×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	311	38
2	5060	38

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

661×	`distribute-rgt-in_binary64`
649×	`fma-def_binary64`
637×	`distribute-lft-in_binary64`
620×	`times-frac_binary64`
447×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2308
1	634	2249
2	2522	2087

Stop Event

1×	node limit

Counts

156 → 163

Calls

Call 1

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

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

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 91 to 61 computations (33% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

415×	`fma-neg_binary64`
359×	`log1p-udef_binary64`
358×	`expm1-udef_binary64`
207×	`add-sqr-sqrt_binary64`
202×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	395	53
2	6499	53

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify158.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

661×	`distribute-rgt-in_binary64`
651×	`distribute-lft-in_binary64`
420×	`fma-def_binary64`
333×	`associate-+l+_binary64`
281×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	443	6598
1	1787	6158

Stop Event

1×	node limit

Counts

141 → 174

Calls

Call 1

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

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

eval980.0ms (6.9%)

Compiler: Compiled 39673 to 28953 computations (27% saved)

prune189.0ms (1.3%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	921	10	931
Fresh	11	9	20
Picked	1	0	1
Done	3	2	5
Total	936	21	957

Error

Counts

957 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	57.2b	1/6
	1.0b	(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta)))) 3) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))
	4.5b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	57.3b	(/.f64 (+.f64 1 alpha) 6)
▶	23.6b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
	28.3b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 3 beta)))
	30.3b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (.f64 2 alpha))))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	2.8b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1)))
	13.7b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))
	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (.f64 (.f64 (/.f64 1 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 3 beta))))
	29.0b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	30.6b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
	30.6b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
	38.0b	(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
✓	62.3b	(/.f64 1 alpha)
✓	30.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
▶	0.2b	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))))
▶	28.0b	(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
▶	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
	39.4b	(/.f64 (/.f64 alpha beta) beta)
▶	33.0b	(/.f64 1 (*.f64 beta beta))

Compiler

Compiled 671 to 491 computations (26.8% saved)

localize78.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 95 to 64 computations (32.6% saved)

series68.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
51.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta)))
2.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta)))
2.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta)))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta)))
1.0ms	beta	@	inf	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta)))

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

424×	`fma-neg_binary64`
367×	`log1p-udef_binary64`
366×	`expm1-udef_binary64`
211×	`add-sqr-sqrt_binary64`
206×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	84
1	400	84
2	6705	84

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify178.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

803×	`distribute-rgt-in_binary64`
789×	`distribute-lft-in_binary64`
496×	`fma-def_binary64`
340×	`times-frac_binary64`
331×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	595	8690
1	2366	8209

Stop Event

1×	node limit

Counts

209 → 260

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)))
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(+.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 (+.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))))

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (*.f64 beta beta))

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

405×	`pow1_binary64`
391×	`add-sqr-sqrt_binary64`
382×	`*-un-lft-identity_binary64`
377×	`add-log-exp_binary64`
376×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	4
2	1163	4

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify166.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1118×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`fabs-mul_binary64`
560×	`cube-prod_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	19	84
3	34	84
4	74	84
5	220	84
6	819	84
7	2028	84
8	2194	84
9	2378	84
10	2586	84
11	2885	84
12	3278	84
13	3759	84
14	4327	84
15	5017	84
16	5856	84
17	6252	84
18	6542	84
19	6816	84
20	6890	84
21	6924	84

Stop Event

1×	node limit

Counts

50 → 40

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`unpow-prod-down_binary64`
427×	`log-prod_binary64`
266×	`pow-prod-down_binary64`
253×	`pow2_binary64`
175×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	207	20
2	2779	20

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) -1/2) (pow.f64 (+.f64 beta 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (pow.f64 (/.f64 1 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 beta beta -4)) (pow.f64 (/.f64 1 (+.f64 beta -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) 1) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (fma.f64 beta beta -4)) 1) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 beta 2) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 beta 2) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 beta 2) -2) (cbrt.f64 (pow.f64 (+.f64 beta 2) -2))) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 beta 2) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 beta 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2)))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta 2) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta 2) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta 2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 beta 2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 beta 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 -2 (neg.f64 beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 beta 2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 beta 2) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 beta 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 beta 2))) 2))))))

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

562×	`associate-*l/_binary64`
552×	`associate-*r/_binary64`
538×	`fma-def_binary64`
507×	`associate-/l/_binary64`
482×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	386
1	169	382
2	427	378
3	1181	366
4	3634	366

Stop Event

1×	node limit

Counts

145 → 150

Calls

Call 1

Inputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (.f64 19/216 (pow.f64 beta 2))))
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (+.f64 (.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
1/2
(+.f64 (*.f64 -1/4 beta) 1/2)
(+.f64 (.f64 -1/4 beta) (+.f64 1/2 (.f64 1/8 (pow.f64 beta 2))))
(+.f64 (.f64 -1/4 beta) (+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))

Outputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(fma.f64 -5/36 beta 1/6)
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (.f64 19/216 (pow.f64 beta 2))))
(+.f64 (fma.f64 -5/36 beta 1/6) (.f64 19/216 (.f64 beta beta)))
(fma.f64 -5/36 beta (fma.f64 19/216 (*.f64 beta beta) 1/6))
(fma.f64 -5/36 beta (fma.f64 beta (*.f64 beta 19/216) 1/6))
(fma.f64 beta (fma.f64 beta 19/216 -5/36) 1/6)
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (+.f64 (.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 -65/1296 (pow.f64 beta 3) (.f64 19/216 (.f64 beta beta))))
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 19/216 (.f64 beta beta) (.f64 -65/1296 (pow.f64 beta 3))))
(fma.f64 -5/36 beta (fma.f64 beta (*.f64 beta 19/216) (fma.f64 -65/1296 (pow.f64 beta 3) 1/6)))
(fma.f64 beta (fma.f64 beta 19/216 -5/36) (fma.f64 -65/1296 (pow.f64 beta 3) 1/6))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 -5 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5)))))
(+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3))) (/.f64 -65 (pow.f64 beta 5))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 -5 (pow.f64 beta 3)) (/.f64 -65 (pow.f64 beta 5)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 -5 (pow.f64 beta 3)))) (/.f64 -65 (pow.f64 beta 5)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 -5 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5)))))
(+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3))) (/.f64 -65 (pow.f64 beta 5))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 -5 (pow.f64 beta 3)) (/.f64 -65 (pow.f64 beta 5)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 -5 (pow.f64 beta 3)))) (/.f64 -65 (pow.f64 beta 5)))
1/2
(+.f64 (*.f64 -1/4 beta) 1/2)
(fma.f64 -1/4 beta 1/2)
(fma.f64 beta -1/4 1/2)
(+.f64 (.f64 -1/4 beta) (+.f64 1/2 (.f64 1/8 (pow.f64 beta 2))))
(+.f64 (fma.f64 -1/4 beta 1/2) (.f64 (.f64 beta beta) 1/8))
(fma.f64 beta -1/4 (fma.f64 (*.f64 beta beta) 1/8 1/2))
(fma.f64 beta -1/4 (fma.f64 beta (*.f64 beta 1/8) 1/2))
(fma.f64 beta (fma.f64 beta 1/8 -1/4) 1/2)
(+.f64 (.f64 -1/4 beta) (+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3)))))
(+.f64 (fma.f64 -1/4 beta 1/2) (fma.f64 1/8 (.f64 beta beta) (.f64 (pow.f64 beta 3) -1/16)))
(+.f64 (fma.f64 beta -1/4 1/2) (fma.f64 (.f64 beta beta) 1/8 (.f64 (pow.f64 beta 3) -1/16)))
(fma.f64 beta -1/4 (fma.f64 beta (*.f64 beta 1/8) (fma.f64 (pow.f64 beta 3) -1/16 1/2)))
(fma.f64 beta -1/4 (fma.f64 beta (*.f64 beta (fma.f64 beta -1/16 1/8)) 1/2))
(fma.f64 beta -1/4 (fma.f64 (*.f64 beta beta) (fma.f64 beta -1/16 1/8) 1/2))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 2 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 (/.f64 -2 beta) beta))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 2 (*.f64 beta beta))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3))) (/.f64 -2 (*.f64 beta beta)))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 (/.f64 -2 beta) beta)) (/.f64 4 (pow.f64 beta 3)))
(-.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 -1 beta)))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (-.f64 (/.f64 -2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4)))))
(+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (-.f64 (/.f64 (/.f64 -2 beta) beta) (/.f64 8 (pow.f64 beta 4)))))
(+.f64 (/.f64 4 (pow.f64 beta 3)) (-.f64 (/.f64 (/.f64 -2 beta) beta) (+.f64 (/.f64 8 (pow.f64 beta 4)) (/.f64 -1 beta))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 2 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 (/.f64 -2 beta) beta))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 2 (*.f64 beta beta))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3))) (/.f64 -2 (*.f64 beta beta)))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 (/.f64 -2 beta) beta)) (/.f64 4 (pow.f64 beta 3)))
(-.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 -1 beta)))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (-.f64 (/.f64 -2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4)))))
(+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (-.f64 (/.f64 (/.f64 -2 beta) beta) (/.f64 8 (pow.f64 beta 4)))))
(+.f64 (/.f64 4 (pow.f64 beta 3)) (-.f64 (/.f64 (/.f64 -2 beta) beta) (+.f64 (/.f64 8 (pow.f64 beta 4)) (/.f64 -1 beta))))

localize55.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta)))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))

Compiler

Compiled 59 to 41 computations (30.5% saved)

series50.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	beta	@	inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
2.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
2.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
2.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`fma-def_binary64`
390×	`fma-neg_binary64`
305×	`log1p-udef_binary64`
304×	`expm1-udef_binary64`
235×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	338	23
2	5280	23

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify196.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

847×	`associate-/l*_binary64`
366×	`distribute-rgt-in_binary64`
363×	`distribute-lft-in_binary64`
288×	`cancel-sign-sub-inv_binary64`
234×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	2781
1	913	2565
2	4792	2466

Stop Event

1×	node limit

Counts

66 → 85

Calls

Call 1

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

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

localize85.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 87 to 58 computations (33.3% saved)

series27.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3)))
3.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3)))
2.0ms	beta	@	0	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))))
2.0ms	alpha	@	0	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))))
2.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3)))

rewrite139.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

431×	`fma-neg_binary64`
361×	`log1p-udef_binary64`
360×	`expm1-udef_binary64`
207×	`add-sqr-sqrt_binary64`
202×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	395	53
2	6508	53

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (+.f64 (+.f64 alpha 3) beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (+.f64 (+.f64 alpha 3) beta) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (*.f64 (+.f64 (+.f64 alpha 3) beta) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha 3) beta)) (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 alpha 3) beta) (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha 3) beta))) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha 3) beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha 3) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 (+.f64 alpha 3) beta) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (+.f64 (+.f64 alpha 3) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha 3) beta)) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (+.f64 alpha 3) beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha 3) beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 alpha) (*.f64 (*.f64 (+.f64 (+.f64 alpha 3) beta) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 (+.f64 alpha 3) beta) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta 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simplify136.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

692×	`distribute-rgt-in_binary64`
681×	`distribute-lft-in_binary64`
446×	`fma-def_binary64`
340×	`associate-r_binary64`
302×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	439	6390
1	1841	5957

Stop Event

1×	node limit

Counts

151 → 188

Calls

Call 1

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

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

eval1.5s (10.5%)

Compiler: Compiled 45953 to 34435 computations (25.1% saved)

prune317.0ms (2.2%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	976	15	991
Fresh	4	10	14
Picked	1	0	1
Done	3	3	6
Total	984	28	1012

Error

Counts

1012 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	29.0b	(*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))))
✓	30.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	4.8b	(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta)))
	56.1b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 4 (.f64 2 alpha))))
	57.2b	1/6
	4.5b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	57.3b	(/.f64 (+.f64 1 alpha) 6)
✓	23.6b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
	32.7b	(pow.f64 beta -2)
	14.8b	(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (-.f64 alpha (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
	57.9b	(+.f64 (*.f64 -5/36 beta) 1/6)
	28.3b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 3 beta)))
	28.3b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
	32.1b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
	39.4b	(/.f64 (/.f64 alpha beta) beta)
	2.8b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1)))
	4.6b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (.f64 (.f64 (/.f64 1 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 3 beta))))
	29.0b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	27.8b	(/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 4)))
	38.0b	(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
	13.7b	(*.f64 (/.f64 (/.f64 1 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))))
	13.7b	(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
	0.8b	(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 2) (+.f64 beta 1))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
	62.3b	(/.f64 1/2 alpha)
	14.8b	(/.f64 (log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))))) (+.f64 alpha (+.f64 2 beta)))
	30.6b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
✓	33.0b	(/.f64 1 (*.f64 beta beta))

Compiler

Compiled 438 to 321 computations (26.7% saved)

regimes320.0ms (2.2%)

Counts

69 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 (+.f64 1 alpha) 6)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 4)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 4 (.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.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 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (/.f64 1 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.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 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 2) (+.f64 beta 1))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (-.f64 alpha (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (.f64 (.f64 (/.f64 1 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 3 beta))))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) (/.f64 1 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (.f64 2 alpha))))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha))))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))
(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (/.f64 (-.f64 -1 alpha) (/.f64 beta (+.f64 2 alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(pow.f64 beta -2)
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (pow.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))))
(/.f64 (log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta)))) 3) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))
(+.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 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))

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

Calls

4 calls:

50.0ms	beta
38.0ms	alpha
30.0ms	(/.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))
30.0ms	(/.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 1657 to 1174 computations (29.1% saved)

regimes74.0ms (0.5%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	beta
27.0ms	alpha

Results

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

Compiler

Compiled 687 to 469 computations (31.7% saved)

regimes65.0ms (0.5%)

Counts

46 → 1

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	alpha
22.0ms	beta

Results

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

Compiler

Compiled 662 to 452 computations (31.7% saved)

regimes69.0ms (0.5%)

Counts

45 → 1

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	alpha
26.0ms	beta

Results

Error	Segments	Branch
0.2b	1	`alpha`
0.2b	1	`beta`

Compiler

Compiled 637 to 435 computations (31.7% saved)

regimes63.0ms (0.4%)

Counts

44 → 1

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	beta
22.0ms	alpha

Results

Error	Segments	Branch
0.8b	1	`alpha`
0.8b	1	`beta`

Compiler

Compiled 612 to 418 computations (31.7% saved)

regimes111.0ms (0.8%)

Counts

41 → 2

Calls

Call 1

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

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

Calls

2 calls:

54.0ms	beta
41.0ms	alpha

Results

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

Compiler

Compiled 541 to 370 computations (31.6% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	53944.35439728078	4048417393.4412313

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes110.0ms (0.8%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

2 calls:

76.0ms	beta
26.0ms	alpha

Results

Error	Segments	Branch
1.0b	2	`alpha`
0.8b	2	`beta`

Compiler

Compiled 250 to 169 computations (32.4% saved)

bsearch43.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
43.0ms	96891533725882.16	1.480029702238355e+24

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes73.0ms (0.5%)

Counts

25 → 1

Calls

Call 1

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

Calls

2 calls:

35.0ms	beta
25.0ms	alpha

Results

Error	Segments	Branch
24.2b	1	`alpha`
24.2b	1	`beta`

Compiler

Compiled 233 to 157 computations (32.6% saved)

regimes95.0ms (0.7%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	beta
41.0ms	alpha

Results

Error	Segments	Branch
24.0b	2	`alpha`
23.7b	2	`beta`

Compiler

Compiled 173 to 117 computations (32.4% saved)

bsearch93.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
92.0ms	96891533725882.16	1.480029702238355e+24

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes77.0ms (0.5%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	beta
29.0ms	alpha

Results

Error	Segments	Branch
24.0b	2	`alpha`
23.8b	2	`beta`

Compiler

Compiled 147 to 99 computations (32.7% saved)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	96891533725882.16	1.480029702238355e+24

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes36.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	alpha
15.0ms	beta

Results

Error	Segments	Branch
24.0b	2	`alpha`
23.8b	2	`beta`

Compiler

Compiled 90 to 59 computations (34.4% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	96891533725882.16	1.480029702238355e+24

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes39.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	beta
15.0ms	alpha

Results

Error	Segments	Branch
24.2b	2	`alpha`
24.0b	3	`beta`

Compiler

Compiled 81 to 53 computations (34.6% saved)

bsearch63.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	4.366302677869564e+152	3.083306718595587e+157
31.0ms	96891533725882.16	1.480029702238355e+24

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes54.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	alpha
20.0ms	beta

Results

Error	Segments	Branch
28.5b	2	`alpha`
24.4b	3	`beta`

Compiler

Compiled 63 to 39 computations (38.1% saved)

bsearch72.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	4.366302677869564e+152	3.083306718595587e+157
39.0ms	5.450038347725156e-6	53944.35439728078

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes64.0ms (0.5%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

49.0ms	beta
12.0ms	alpha

Results

Error	Segments	Branch
28.5b	2	`alpha`
26.3b	3	`beta`

Compiler

Compiled 56 to 36 computations (35.7% saved)

bsearch84.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	2.2881950169131918e+159	7.255516689385991e+159
53.0ms	5.450038347725156e-6	53944.35439728078

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes29.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	beta
11.0ms	alpha

Results

Error	Segments	Branch
29.4b	2	`alpha`
26.5b	3	`beta`

Compiler

Compiled 35 to 24 computations (31.4% saved)

bsearch92.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	4.366302677869564e+152	3.083306718595587e+157
62.0ms	5.450038347725156e-6	53944.35439728078

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes25.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	beta
6.0ms	alpha

Results

Error	Segments	Branch
39.4b	1	`alpha`
34.6b	2	`beta`

Compiler

Compiled 30 to 21 computations (30% saved)

bsearch55.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
54.0ms	4.396419282514868e+26	3.2327652267424205e+27

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes11.0ms (0.1%)

Accuracy

Total -5.6b remaining (-9.8%)

Threshold costs -5.6b (-9.8%)

Counts

5 → 1

Calls

Call 1

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

Outputs
1/6

Calls

2 calls:

5.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
57.2b	1	`alpha`
57.2b	1	`beta`

Compiler

Compiled 25 to 19 computations (24% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
7×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	580
1	112	580

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 2) (+.f64 beta 1))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(if (<=.f64 beta 926756951760619/17179869184) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (.f64 2 alpha)))))
(if (<=.f64 beta 3100529079228229/32) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 4 (.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(if (<=.f64 beta 3100529079228229/32) (/.f64 1 (.f64 (+.f64 beta 2) (+.f64 beta 4))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 4 (.f64 2 alpha)))))
(if (<=.f64 beta 3100529079228229/32) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 4))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 3 beta))))
(if (<=.f64 beta 3100529079228229/32) (/.f64 1 (.f64 (+.f64 beta 2) (+.f64 beta 4))) (.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 3100529079228229/32) (/.f64 1 (.f64 (+.f64 beta 2) (+.f64 beta 4))) (if (<=.f64 beta 436630267786956414236017978419358870210449523877385737011810745074989736681982407516237992218480634281282222319914873554111257150542394256084418737209344) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 1608567401478221/295147905179352825856) (/.f64 (+.f64 1 alpha) 6) (if (<=.f64 beta 436630267786956414236017978419358870210449523877385737011810745074989736681982407516237992218480634281282222319914873554111257150542394256084418737209344) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 1608567401478221/295147905179352825856) (/.f64 (+.f64 1 alpha) 6) (if (<=.f64 beta 2288195016913191764714453178816100072389189590281745188823973638252601720801147176694005026321228622510969560788923441790875645054132082443915578911184769777664) (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 1608567401478221/295147905179352825856) (/.f64 (+.f64 1 alpha) 6) (if (<=.f64 beta 436630267786956414236017978419358870210449523877385737011810745074989736681982407516237992218480634281282222319914873554111257150542394256084418737209344) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 439641928251486826510942208) (/.f64 (+.f64 1 alpha) 6) (/.f64 (/.f64 alpha beta) beta))
1/6

Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 2) (+.f64 beta 1))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 beta) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 2 beta)))
(if (<=.f64 beta 926756951760619/17179869184) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (.f64 2 alpha)))))
(if (<=.f64 beta 926756951760619/17179869184) (/.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (.f64 alpha 2)))))
(if (<=.f64 beta 3100529079228229/32) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 4 (.f64 2 alpha)))))
(if (<=.f64 beta 3100529079228229/32) (/.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 beta (+.f64 4 (.f64 alpha 2)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 3))
(if (<=.f64 beta 3100529079228229/32) (/.f64 1 (.f64 (+.f64 beta 2) (+.f64 beta 4))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 4 (.f64 2 alpha)))))
(if (<=.f64 beta 3100529079228229/32) (/.f64 1 (.f64 (+.f64 2 beta) (+.f64 beta 4))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 beta (+.f64 4 (.f64 alpha 2)))))
(if (<=.f64 beta 3100529079228229/32) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 4))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 3 beta))))
(if (<=.f64 beta 3100529079228229/32) (/.f64 1 (*.f64 (+.f64 2 beta) (+.f64 beta 4))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3100529079228229/32) (/.f64 1 (.f64 (+.f64 beta 2) (+.f64 beta 4))) (.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 3100529079228229/32) (/.f64 1 (.f64 (+.f64 2 beta) (+.f64 beta 4))) (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta)))
(if (<=.f64 beta 3100529079228229/32) (/.f64 1 (.f64 (+.f64 beta 2) (+.f64 beta 4))) (if (<=.f64 beta 436630267786956414236017978419358870210449523877385737011810745074989736681982407516237992218480634281282222319914873554111257150542394256084418737209344) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 3100529079228229/32) (/.f64 1 (.f64 (+.f64 2 beta) (+.f64 beta 4))) (if (<=.f64 beta 436630267786956414236017978419358870210449523877385737011810745074989736681982407516237992218480634281282222319914873554111257150542394256084418737209344) (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 1608567401478221/295147905179352825856) (/.f64 (+.f64 1 alpha) 6) (if (<=.f64 beta 436630267786956414236017978419358870210449523877385737011810745074989736681982407516237992218480634281282222319914873554111257150542394256084418737209344) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 1608567401478221/295147905179352825856) (/.f64 (+.f64 alpha 1) 6) (if (<=.f64 beta 436630267786956414236017978419358870210449523877385737011810745074989736681982407516237992218480634281282222319914873554111257150542394256084418737209344) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 1608567401478221/295147905179352825856) (/.f64 (+.f64 1 alpha) 6) (if (<=.f64 beta 2288195016913191764714453178816100072389189590281745188823973638252601720801147176694005026321228622510969560788923441790875645054132082443915578911184769777664) (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 1608567401478221/295147905179352825856) (/.f64 (+.f64 alpha 1) 6) (if (<=.f64 beta 2288195016913191764714453178816100072389189590281745188823973638252601720801147176694005026321228622510969560788923441790875645054132082443915578911184769777664) (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 1608567401478221/295147905179352825856) (/.f64 (+.f64 1 alpha) 6) (if (<=.f64 beta 436630267786956414236017978419358870210449523877385737011810745074989736681982407516237992218480634281282222319914873554111257150542394256084418737209344) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 1608567401478221/295147905179352825856) (/.f64 (+.f64 alpha 1) 6) (if (<=.f64 beta 436630267786956414236017978419358870210449523877385737011810745074989736681982407516237992218480634281282222319914873554111257150542394256084418737209344) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 439641928251486826510942208) (/.f64 (+.f64 1 alpha) 6) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 beta 439641928251486826510942208) (/.f64 (+.f64 alpha 1) 6) (/.f64 (/.f64 alpha beta) beta))
1/6

Compiler

Compiled 431 to 307 computations (28.8% saved)

soundness231.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

681×	`distribute-rgt-in_binary64`
661×	`distribute-lft-in_binary64`
485×	`associate-l_binary64`
473×	`associate-/l/_binary64`
389×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	36	38
2	117	38
3	624	37
4	4304	37
5	4993	37
6	5254	37
7	5793	37
8	6311	37
9	6324	37
10	6554	37
11	6681	37
12	6824	37
13	7124	37
14	7928	37

Stop Event

1×	node limit

Compiler

Compiled 798 to 552 computations (30.8% saved)

end296.0ms (2.1%)

Compiler: Compiled 453 to 303 computations (33.1% saved)