Details

analyze55.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.4s (8.7%)

Results

1.4s

8256×

body

256

valid

Bogosity

preprocess108.0ms (0.6%)

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)

simplify111.0ms (0.7%)

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 → 6

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 166 to 100 computations (39.8% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Error

4.3b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.4b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	5.0b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
▶	10.8b	(/.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))))
▶	10.8b	(/.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))))

Compiler

Compiled 121 to 79 computations (34.7% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
✓	0.0b	(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))
✓	0.1b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))
✓	10.7b	(/.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))))

Compiler

Compiled 89 to 54 computations (39.3% saved)

series23.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	0	(/.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))))
3.0ms	beta	@	0	(/.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))))
2.0ms	alpha	@	-inf	(/.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))))
2.0ms	beta	@	-inf	(/.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))))
2.0ms	alpha	@	inf	(/.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))))

rewrite92.0ms (0.6%)

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	88
1	397	76
2	6651	76

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

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

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

simplify174.0ms (1%)

Algorithm

1×	egg-herbie

Rules

676×	`fma-def_binary64`
585×	`times-frac_binary64`
583×	`associate-l_binary64`
482×	`associate-/r*_binary64`
414×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	794	10517
1	2981	10036

Stop Event

1×	node limit

Counts

280 → 433

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))
✓	0.1b	(.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
✓	10.7b	(/.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))))

New

Error

Program

✓

0.0b

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

✓

0.1b

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

✓

10.7b

(/.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))))

Compiler

Compiled 94 to 51 computations (45.7% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`fma-neg_binary64`
351×	`log1p-udef_binary64`
350×	`expm1-udef_binary64`
206×	`add-sqr-sqrt_binary64`
201×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	394	67
2	6410	67

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Inputs

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

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

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

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

simplify108.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

929×	`distribute-rgt-in_binary64`
917×	`distribute-lft-in_binary64`
575×	`fma-def_binary64`
271×	`times-frac_binary64`
164×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	618	9395
1	2361	8773

Stop Event

1×	node limit

Counts

190 → 341

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

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.1b	(/.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))
✓	19.6b	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 99 to 51 computations (48.5% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`fma-neg_binary64`
355×	`log1p-udef_binary64`
353×	`expm1-udef_binary64`
209×	`add-sqr-sqrt_binary64`
204×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	76
1	398	76
2	6602	76

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

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

simplify181.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

678×	`fma-def_binary64`
526×	`associate-/l*_binary64`
408×	`times-frac_binary64`
321×	`associate-/r*_binary64`
226×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	918	11916
1	3173	11320

Stop Event

1×	node limit

Counts

255 → 432

Calls

Call 1

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

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

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
✓	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))
✓	4.1b	(/.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)

series17.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite84.0ms (0.5%)

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	103
1	349	83
2	5771	83

Stop Event

1×	node limit

Counts

4 → 186

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 alpha beta) (*.f64 beta alpha))

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

simplify198.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

938×	`distribute-rgt-in_binary64`
612×	`fma-def_binary64`
328×	`times-frac_binary64`
251×	`*-commutative_binary64`
244×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1023	13740
1	3451	13105

Stop Event

1×	node limit

Counts

282 → 520

Calls

Call 1

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

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

eval2.3s (13.8%)

Compiler: Compiled 93003 to 64271 computations (30.9% saved)

prune662.0ms (4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	1704	22	1726
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1708	22	1730

Error

0.0b

Counts

1730 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	18.0b	(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 beta alpha (+.f64 beta alpha)))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (+.f64 (+.f64 beta 2) alpha))) 2)
▶	28.4b	(/.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))
	5.0b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (fma.f64 beta beta (.f64 (+.f64 2 alpha) (+.f64 (+.f64 2 alpha) (*.f64 beta 2))))) (+.f64 (+.f64 alpha beta) 3))
	28.1b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))))) (-.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (+.f64 alpha beta) 3))
▶	62.8b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
▶	32.5b	(/.f64 (/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
	5.6b	(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
	62.6b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
	31.6b	(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (+.f64 alpha beta) 3))
	23.9b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	28.0b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
	62.4b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	16.8b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
▶	31.1b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	39.2b	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (pow.f64 beta 3))
	10.8b	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta alpha))) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))
	18.9b	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha))))))
	11.2b	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
	62.6b	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
	2.8b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))))
▶	2.0b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
	5.0b	(.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))

Compiler

Compiled 1124 to 776 computations (31% saved)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
✓	0.1b	(*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))
✓	2.9b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
✓	14.1b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))

Compiler

Compiled 112 to 76 computations (32.1% saved)

series69.0ms (0.4%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
33.0ms	beta	@	-inf	(*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))
5.0ms	alpha	@	-inf	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
2.0ms	alpha	@	0	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
2.0ms	beta	@	0	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
2.0ms	beta	@	0	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

398×	`fma-neg_binary64`
366×	`log1p-udef_binary64`
365×	`expm1-udef_binary64`
213×	`add-sqr-sqrt_binary64`
207×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	116
1	411	97
2	6621	97

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 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simplify180.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

835×	`times-frac_binary64`
822×	`distribute-rgt-in_binary64`
644×	`fma-def_binary64`
273×	`*-commutative_binary64`
169×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	901	13427
1	3148	12133

Stop Event

1×	node limit

Counts

221 → 371

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.8b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (0.3%)

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))))))))

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

337×	`unswap-sqr_binary64`
292×	`times-frac_binary64`
252×	`associate-/l*_binary64`
246×	`associate-*l/_binary64`
214×	`cube-div_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	895
1	258	887
2	825	737
3	4333	590
4	7994	590

Stop Event

1×	node limit

Counts

56 → 51

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.0b

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

✓

4.2b

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

✓

6.4b

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

Compiler

Compiled 66 to 25 computations (62.1% saved)

series54.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
42.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
5.0ms	alpha	@	0	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (.f64 alpha alpha))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
1.0ms	beta	@	inf	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`log-prod_binary64`
492×	`fma-neg_binary64`
334×	`log-div_binary64`
281×	`log1p-udef_binary64`
279×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	313	43
2	5059	43

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs

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

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

Outputs

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

simplify118.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

252×	`div-sub_binary64`
223×	`sub-neg_binary64`
223×	`log-prod_binary64`
219×	`associate-/l*_binary64`
212×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	4725
1	1350	4518
2	5406	4491

Stop Event

1×	node limit

Counts

130 → 207

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (/.f64 beta (.f64 (+.f64 beta 3) alpha))))) (+.f64 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) alpha)) (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) alpha))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (/.f64 beta (.f64 (+.f64 beta 3) alpha))))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) alpha)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) alpha))))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (/.f64 beta (pow.f64 (+.f64 beta 3) 4)))) alpha) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) alpha)) (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) alpha)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) alpha))))))
(/.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 3)) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 3)))) (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 3)))) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 3)))) (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 3)))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 3))) (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 beta 3) (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 3)))) (pow.f64 alpha 4)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 3))) (pow.f64 alpha 3)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 beta 3) (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 3)))) (pow.f64 alpha 4)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 3)))) (pow.f64 alpha 5))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 3))) (pow.f64 alpha 3))))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 alpha) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 3 alpha) (pow.f64 alpha 2))) (/.f64 1 (.f64 (+.f64 3 alpha) alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 3 alpha) alpha)) (/.f64 1 (*.f64 (pow.f64 alpha 2) (+.f64 3 alpha)))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (.f64 (pow.f64 (+.f64 3 alpha) 3) alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (pow.f64 beta 2)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 3 alpha) (pow.f64 alpha 2))) (/.f64 1 (.f64 (+.f64 3 alpha) alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 3 alpha) alpha)) (/.f64 1 (.f64 (pow.f64 alpha 2) (+.f64 3 alpha))))))
(+.f64 (.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 3 alpha) 3) alpha))) (+.f64 (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 4))) (/.f64 1 (.f64 (pow.f64 (+.f64 3 alpha) 4) (pow.f64 alpha 2)))))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (.f64 (pow.f64 (+.f64 3 alpha) 3) alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (pow.f64 beta 2)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 3 alpha) (pow.f64 alpha 2))) (/.f64 1 (.f64 (+.f64 3 alpha) alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 3 alpha) alpha)) (/.f64 1 (*.f64 (pow.f64 alpha 2) (+.f64 3 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 3 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 3 alpha)) (pow.f64 alpha 2))) (+.f64 3 alpha)) (pow.f64 beta 2))) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 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 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 alpha 2))) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 alpha 2))) (+.f64 3 alpha)) (pow.f64 beta 2))) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 beta (pow.f64 alpha 2))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (/.f64 (.f64 (-.f64 (.f64 -1 alpha) 1) (+.f64 3 alpha)) (pow.f64 alpha 2))) beta)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (/.f64 (.f64 (+.f64 3 alpha) (-.f64 (.f64 -1 alpha) 1)) (pow.f64 alpha 2))) (+.f64 3 alpha)) (pow.f64 beta 2)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (/.f64 (.f64 (-.f64 (.f64 -1 alpha) 1) (+.f64 3 alpha)) (pow.f64 alpha 2))) beta))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (/.f64 (.f64 (-.f64 (.f64 -1 alpha) 1) (+.f64 3 alpha)) (pow.f64 alpha 2))) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (/.f64 (.f64 (+.f64 3 alpha) (-.f64 (.f64 -1 alpha) 1)) (pow.f64 alpha 2))) (+.f64 3 alpha)) (pow.f64 beta 2)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (/.f64 (.f64 (-.f64 (*.f64 -1 alpha) 1) (+.f64 3 alpha)) (pow.f64 alpha 2))) beta)))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))
(+.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 -1 beta) 1) alpha))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))))
(/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))
(/.f64 (*.f64 beta (+.f64 1 alpha)) (pow.f64 alpha 2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (pow.f64 alpha 2)) (/.f64 1 alpha)))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (pow.f64 alpha 2)) (/.f64 1 alpha)))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (pow.f64 alpha 2)) (/.f64 1 alpha)))
(.f64 -1 (/.f64 (.f64 beta (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 alpha 2)))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 beta (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 alpha 2))) (/.f64 1 alpha)))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 beta (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 alpha 2))) (/.f64 1 alpha)))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 beta (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 alpha 2))) (/.f64 1 alpha)))
(+.f64 0 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3)))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3)))))) 1)
(.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (pow.f64 alpha -2) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3)))) 1)
(.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))) 2) (.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) alpha) (.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (neg.f64 (pow.f64 alpha -2))) (/.f64 1 (+.f64 -3 (neg.f64 (+.f64 alpha beta)))))
(.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (.f64 alpha alpha)))
(.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 1) (/.f64 (pow.f64 alpha -2) (+.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) alpha) 1) (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) alpha) (+.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (pow.f64 alpha -2) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (pow.f64 alpha -2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))))
(.f64 (/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (+.f64 beta (-.f64 alpha 3)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3)))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3))))) 3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) alpha))) -1)
(neg.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)) (+.f64 -3 (neg.f64 (+.f64 alpha beta)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta 3))))) 1))
(+.f64 0 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 alpha -2))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 alpha -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 alpha -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 alpha -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 alpha -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)))) 1)
(.f64 1 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))
(.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)) 1)
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 alpha -2)))
(.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))) 2) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))))
(.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 alpha -2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) alpha) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) alpha))
(.f64 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (.f64 alpha (neg.f64 alpha))))
(*.f64 (pow.f64 alpha -2) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) alpha) (/.f64 1 alpha))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (.f64 alpha alpha)))
(.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (.f64 alpha alpha)))
(*.f64 (/.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) alpha) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) alpha))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 alpha) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 (cbrt.f64 alpha) 2)))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) alpha) 2)
(pow.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) alpha)) -1)
(neg.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 alpha (neg.f64 alpha))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 alpha -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 3) (pow.f64 (*.f64 alpha alpha) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 alpha -2))) 1))

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.0b	(+.f64 beta (*.f64 beta alpha))
✓	0.1b	(/.f64 (/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
✓	19.6b	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 81 to 40 computations (50.6% saved)

series24.0ms (0.1%)

Counts

3 → 63

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
2.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
2.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))

rewrite92.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

455×	`fma-neg_binary64`
323×	`expm1-udef_binary64`
323×	`log1p-udef_binary64`
253×	`log-pow_binary64`
186×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	351	48
2	5818	48

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 beta alpha beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 beta alpha beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 beta alpha beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 beta alpha beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2) (*.f64 (cbrt.f64 (fma.f64 beta alpha beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 beta alpha beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 beta alpha beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 beta alpha beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) 2) (cbrt.f64 (*.f64 (fma.f64 beta alpha beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 beta alpha beta)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (fma.f64 beta alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 beta alpha beta) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change 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simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

658×	`distribute-rgt-in_binary64`
641×	`distribute-lft-in_binary64`
523×	`associate-/l*_binary64`
468×	`fma-def_binary64`
417×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	702	7661
1	2398	7131

Stop Event

1×	node limit

Counts

187 → 307

Calls

Call 1

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

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

localize80.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 167 to 103 computations (38.3% saved)

series31.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

268×	`add-sqr-sqrt_binary64`
263×	`*-un-lft-identity_binary64`
263×	`pow1_binary64`
251×	`add-cbrt-cube_binary64`
251×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	133
1	497	133

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 1 alpha) (/.f64 alpha beta))) (.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)) (.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 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alpha 2)))) (.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2))))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2))))) 2) (+.f64 (+.f64 beta alpha) 3)) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2))))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (pow.f64 beta -1/2)) (+.f64 (+.f64 beta alpha) 3)) (/.f64 (hypot.f64 (sqrt.f64 (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (pow.f64 beta -1/2)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) 1) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 beta alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (+.f64 alpha (+.f64 beta 2)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 beta alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (+.f64 alpha (+.f64 beta 2)))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 beta alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 3)) 2)) (/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (+.f64 (+.f64 beta alpha) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 3)) 2)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (+.f64 (+.f64 beta alpha) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (+.f64 alpha (+.f64 beta 2)))) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 3)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 3)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (+.f64 (+.f64 beta alpha) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))) (/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (+.f64 alpha (+.f64 beta 2)))) 2) (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))) (/.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha 2)))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) 1)) (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 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simplify160.0ms (1%)

Algorithm

1×	egg-herbie

Rules

634×	`distribute-rgt-in_binary64`
607×	`distribute-lft-in_binary64`
536×	`fma-def_binary64`
305×	`times-frac_binary64`
235×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	896	13657
1	2977	13109

Stop Event

1×	node limit

Counts

248 → 413

Calls

Call 1

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

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

eval1.6s (9.4%)

Compiler: Compiled 84049 to 58336 computations (30.6% saved)

prune481.0ms (2.9%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	1573	21	1594
Fresh	5	12	17
Picked	1	0	1
Done	3	1	4
Total	1582	34	1616

Error

Counts

1616 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	33.1b	(pow.f64 beta -2)
	5.0b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (fma.f64 beta beta (.f64 (+.f64 2 alpha) (+.f64 (+.f64 2 alpha) (*.f64 beta 2))))) (+.f64 (+.f64 alpha beta) 3))
	28.1b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))))) (-.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (+.f64 alpha beta) 3))
	62.8b	(/.f64 (/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
	5.6b	(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
	31.6b	(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (+.f64 alpha beta) 3))
	23.9b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	28.0b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
	44.3b	(/.f64 (/.f64 (.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
	44.0b	(/.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	32.6b	(/.f64 (/.f64 beta (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
▶	62.0b	(/.f64 (/.f64 beta alpha) (+.f64 (+.f64 alpha beta) 3))
	40.1b	(/.f64 (/.f64 alpha beta) beta)
	33.1b	(/.f64 (/.f64 1 beta) beta)
	33.2b	(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	16.8b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	61.7b	(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 3 alpha)))
✓	31.1b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	61.7b	(/.f64 (+.f64 1 alpha) (.f64 alpha (.f64 alpha (+.f64 3 alpha))))
	62.2b	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
▶	0.1b	(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
	10.8b	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta alpha))) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))
	18.9b	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha))))))
▶	11.2b	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
	62.4b	(/.f64 beta (*.f64 alpha alpha))
	42.7b	(/.f64 alpha (*.f64 beta beta))
▶	29.0b	(/.f64 1 (.f64 (+.f64 3 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) beta)))))))
	33.3b	(/.f64 1 (*.f64 beta beta))
▶	61.6b	(/.f64 -1 beta)
	2.8b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))))
	2.6b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta)))))
	16.7b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))
	28.6b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	5.0b	(.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))

Compiler

Compiled 1363 to 948 computations (30.4% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 91 to 61 computations (33% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

439×	`fma-neg_binary64`
357×	`log1p-udef_binary64`
356×	`expm1-udef_binary64`
206×	`add-sqr-sqrt_binary64`
201×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	91
1	394	79
2	6459	79

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

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

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

simplify178.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

657×	`associate-/l*_binary64`
611×	`fma-def_binary64`
456×	`times-frac_binary64`
438×	`associate-/r*_binary64`
241×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	951	12757
1	3365	12194

Stop Event

1×	node limit

Counts

259 → 461

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.0b	(/.f64 (/.f64 beta alpha) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 25 to 10 computations (60% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`prod-diff_binary64`
519×	`log-prod_binary64`
314×	`fma-def_binary64`
275×	`pow2_binary64`
203×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	195	13
2	3082	13

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

654×	`associate-/r*_binary64`
653×	`fma-def_binary64`
480×	`distribute-rgt-in_binary64`
461×	`distribute-lft-in_binary64`
289×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	1640
1	713	1573
2	2440	1520

Stop Event

1×	node limit

Counts

74 → 145

Calls

Call 1

Inputs
(/.f64 beta (*.f64 (+.f64 3 alpha) alpha))
(+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (.f64 (pow.f64 (+.f64 3 alpha) 2) alpha))) (/.f64 beta (*.f64 alpha (+.f64 3 alpha))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (.f64 (pow.f64 (+.f64 3 alpha) 2) alpha))) (+.f64 (/.f64 beta (.f64 alpha (+.f64 3 alpha))) (/.f64 (pow.f64 beta 3) (.f64 alpha (pow.f64 (+.f64 3 alpha) 3)))))
(+.f64 (/.f64 (pow.f64 beta 3) (.f64 (pow.f64 (+.f64 3 alpha) 3) alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (.f64 (pow.f64 (+.f64 3 alpha) 2) alpha))) (+.f64 (/.f64 beta (.f64 alpha (+.f64 3 alpha))) (.f64 -1 (/.f64 (pow.f64 beta 4) (.f64 alpha (pow.f64 (+.f64 3 alpha) 4)))))))
(/.f64 1 alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 3 (/.f64 1 alpha))) beta)) (/.f64 1 alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 3 (/.f64 1 alpha))) beta)) (+.f64 (/.f64 (.f64 (+.f64 1 (.f64 3 (/.f64 1 alpha))) (+.f64 3 alpha)) (pow.f64 beta 2)) (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 3 (/.f64 1 alpha))) beta)) (+.f64 (/.f64 (.f64 (+.f64 1 (.f64 3 (/.f64 1 alpha))) (+.f64 3 alpha)) (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (*.f64 3 (/.f64 1 alpha))) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3))) (/.f64 1 alpha))))
(/.f64 1 alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (.f64 beta alpha))) (/.f64 1 alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (*.f64 beta alpha))) (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (.f64 (pow.f64 beta 3) alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (*.f64 beta alpha))) (/.f64 1 alpha))))
(/.f64 beta (*.f64 (+.f64 beta 3) alpha))
(+.f64 (/.f64 beta (.f64 (+.f64 beta 3) alpha)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))
(+.f64 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 3) 3)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) alpha)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)))))
(+.f64 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 3) 3)) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 3) 4))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) alpha)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))))
(/.f64 beta (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 3)) (pow.f64 alpha 3))) (/.f64 beta (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 5))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 4)))))
(/.f64 beta (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 3)) (pow.f64 alpha 3))) (/.f64 beta (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 5))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 4)))))
(+.f64 0 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))))) 1)
(.f64 beta (/.f64 1 (.f64 alpha (+.f64 beta (+.f64 alpha 3)))))
(.f64 beta (.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))) 1)
(*.f64 1 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))) 2) (cbrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (.f64 (cbrt.f64 (/.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))
(.f64 (sqrt.f64 (/.f64 beta alpha)) (.f64 (sqrt.f64 (/.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 1 (+.f64 -3 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 beta alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 beta) alpha))
(*.f64 (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 beta) alpha))
(*.f64 (/.f64 beta 1) (/.f64 (/.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (/.f64 beta alpha)) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (/.f64 beta alpha)) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 1 alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) -2) (/.f64 (/.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (/.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) -1/2) (/.f64 (/.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (/.f64 beta alpha) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (.f64 (+.f64 beta alpha) 3))))
(*.f64 (/.f64 (/.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9)) (+.f64 beta (-.f64 alpha 3)))
(pow.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))) 1)
(pow.f64 (pow.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))) 2)
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 alpha beta)) -1)
(pow.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)) 1/3)
(pow.f64 (*.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3))) -1)
(pow.f64 (/.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 3))) beta) -1)
(pow.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 alpha beta)) 1) -1)
(neg.f64 (/.f64 (/.f64 beta alpha) (+.f64 -3 (neg.f64 (+.f64 beta alpha)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))
(exp.f64 (log.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))) 1))

Outputs
(/.f64 beta (*.f64 (+.f64 3 alpha) alpha))
(/.f64 beta (*.f64 alpha (+.f64 3 alpha)))
(/.f64 (/.f64 beta alpha) (+.f64 3 alpha))
(+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (.f64 (pow.f64 (+.f64 3 alpha) 2) alpha))) (/.f64 beta (*.f64 alpha (+.f64 3 alpha))))
(fma.f64 -1 (/.f64 (.f64 beta beta) (.f64 alpha (pow.f64 (+.f64 3 alpha) 2))) (/.f64 beta (*.f64 alpha (+.f64 3 alpha))))
(-.f64 (/.f64 beta (.f64 alpha (+.f64 3 alpha))) (/.f64 beta (/.f64 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) beta)))
(-.f64 (/.f64 (/.f64 beta alpha) (+.f64 3 alpha)) (/.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) alpha))
(+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (.f64 (pow.f64 (+.f64 3 alpha) 2) alpha))) (+.f64 (/.f64 beta (.f64 alpha (+.f64 3 alpha))) (/.f64 (pow.f64 beta 3) (.f64 alpha (pow.f64 (+.f64 3 alpha) 3)))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 beta beta) (.f64 alpha (pow.f64 (+.f64 3 alpha) 2))) (/.f64 beta (.f64 alpha (+.f64 3 alpha)))) (/.f64 (pow.f64 beta 3) (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))))
(-.f64 (+.f64 (/.f64 beta (.f64 alpha (+.f64 3 alpha))) (/.f64 (pow.f64 beta 3) (.f64 alpha (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 beta (/.f64 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) beta)))
(+.f64 (/.f64 (/.f64 beta alpha) (+.f64 3 alpha)) (-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 3 alpha)) 3) alpha) (/.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) alpha)))
(+.f64 (/.f64 (pow.f64 beta 3) (.f64 (pow.f64 (+.f64 3 alpha) 3) alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (.f64 (pow.f64 (+.f64 3 alpha) 2) alpha))) (+.f64 (/.f64 beta (.f64 alpha (+.f64 3 alpha))) (.f64 -1 (/.f64 (pow.f64 beta 4) (.f64 alpha (pow.f64 (+.f64 3 alpha) 4)))))))
(+.f64 (/.f64 (pow.f64 beta 3) (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (fma.f64 -1 (/.f64 (.f64 beta beta) (.f64 alpha (pow.f64 (+.f64 3 alpha) 2))) (/.f64 beta (.f64 alpha (+.f64 3 alpha)))) (neg.f64 (/.f64 (pow.f64 beta 4) (*.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))))
(+.f64 (/.f64 (pow.f64 beta 3) (.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (-.f64 (-.f64 (/.f64 beta (.f64 alpha (+.f64 3 alpha))) (/.f64 beta (/.f64 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) beta))) (/.f64 (pow.f64 beta 4) (.f64 alpha (pow.f64 (+.f64 3 alpha) 4)))))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 3 alpha)) 3) alpha) (-.f64 (-.f64 (/.f64 (/.f64 beta alpha) (+.f64 3 alpha)) (/.f64 (/.f64 (pow.f64 beta 4) alpha) (pow.f64 (+.f64 3 alpha) 4))) (/.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) alpha)))
(/.f64 1 alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 3 (/.f64 1 alpha))) beta)) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 1 (/.f64 3 alpha)) beta) (/.f64 1 alpha))
(-.f64 (/.f64 1 alpha) (/.f64 (+.f64 1 (/.f64 3 alpha)) beta))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 3 (/.f64 1 alpha))) beta)) (+.f64 (/.f64 (.f64 (+.f64 1 (.f64 3 (/.f64 1 alpha))) (+.f64 3 alpha)) (pow.f64 beta 2)) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 1 (/.f64 3 alpha)) beta) (+.f64 (/.f64 1 alpha) (/.f64 (+.f64 1 (/.f64 3 alpha)) (/.f64 (*.f64 beta beta) (+.f64 3 alpha)))))
(+.f64 (-.f64 (/.f64 1 alpha) (/.f64 (+.f64 1 (/.f64 3 alpha)) beta)) (*.f64 (/.f64 (+.f64 1 (/.f64 3 alpha)) beta) (/.f64 (+.f64 3 alpha) beta)))
(+.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 (/.f64 3 alpha)) beta) (+.f64 -1 (/.f64 (+.f64 3 alpha) beta))))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 3 (/.f64 1 alpha))) beta)) (+.f64 (/.f64 (.f64 (+.f64 1 (.f64 3 (/.f64 1 alpha))) (+.f64 3 alpha)) (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (*.f64 3 (/.f64 1 alpha))) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3))) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 1 (/.f64 3 alpha)) beta) (+.f64 (/.f64 (+.f64 1 (/.f64 3 alpha)) (/.f64 (*.f64 beta beta) (+.f64 3 alpha))) (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 3 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 alpha))))
(+.f64 (-.f64 (.f64 (/.f64 (+.f64 1 (/.f64 3 alpha)) beta) (/.f64 (+.f64 3 alpha) beta)) (.f64 (/.f64 (+.f64 1 (/.f64 3 alpha)) (pow.f64 beta 3)) (pow.f64 (+.f64 3 alpha) 2))) (-.f64 (/.f64 1 alpha) (/.f64 (+.f64 1 (/.f64 3 alpha)) beta)))
(+.f64 (.f64 (/.f64 (+.f64 1 (/.f64 3 alpha)) (.f64 beta beta)) (-.f64 (+.f64 3 alpha) (/.f64 (pow.f64 (+.f64 3 alpha) 2) beta))) (-.f64 (/.f64 1 alpha) (/.f64 (+.f64 1 (/.f64 3 alpha)) beta)))
(/.f64 1 alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (.f64 beta alpha))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 3 alpha) (*.f64 beta alpha)) (/.f64 1 alpha))
(-.f64 (/.f64 1 alpha) (/.f64 (+.f64 3 alpha) (*.f64 beta alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 (-.f64 -3 alpha) (*.f64 beta alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (*.f64 beta alpha))) (/.f64 1 alpha)))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 3 alpha) (.f64 beta alpha)) (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 3 alpha) 2) (.f64 alpha (*.f64 beta beta))))
(+.f64 (-.f64 (/.f64 1 alpha) (/.f64 (+.f64 3 alpha) (.f64 beta alpha))) (/.f64 (pow.f64 (+.f64 3 alpha) 2) (.f64 beta (*.f64 beta alpha))))
(+.f64 (/.f64 1 alpha) (.f64 (/.f64 (+.f64 3 alpha) alpha) (+.f64 (/.f64 -1 beta) (/.f64 (+.f64 3 alpha) (.f64 beta beta)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (.f64 (pow.f64 beta 3) alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (*.f64 beta alpha))) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (.f64 alpha (pow.f64 beta 3))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 3 alpha) (.f64 beta alpha)) (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 3 alpha) 2) (.f64 alpha (.f64 beta beta)))))
(-.f64 (+.f64 (-.f64 (/.f64 1 alpha) (/.f64 (+.f64 3 alpha) (.f64 beta alpha))) (/.f64 (pow.f64 (+.f64 3 alpha) 2) (.f64 beta (.f64 beta alpha)))) (/.f64 (pow.f64 (+.f64 3 alpha) 3) (.f64 alpha (pow.f64 beta 3))))
(+.f64 (.f64 (/.f64 (+.f64 3 alpha) alpha) (+.f64 (/.f64 -1 beta) (/.f64 (+.f64 3 alpha) (.f64 beta beta)))) (-.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (/.f64 (+.f64 3 alpha) beta) 3) alpha)))
(/.f64 beta (*.f64 (+.f64 beta 3) alpha))
(/.f64 beta (*.f64 alpha (+.f64 beta 3)))
(+.f64 (/.f64 beta (.f64 (+.f64 beta 3) alpha)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))
(+.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 3))) (neg.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))
(-.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 3))) (/.f64 beta (pow.f64 (+.f64 beta 3) 2)))
(+.f64 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 3) 3)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) alpha)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)))))
(+.f64 (+.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 3))) (neg.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 3) 3) alpha)))
(-.f64 (+.f64 (/.f64 beta (.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) alpha)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2)))
(+.f64 (/.f64 beta (.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (+.f64 -1 (/.f64 alpha (+.f64 beta 3)))))
(+.f64 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 3) 3)) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 3) 4))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) alpha)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))))
(+.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 3) 3) alpha)) (fma.f64 -1 (/.f64 (.f64 beta (.f64 alpha alpha)) (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 3))) (neg.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))))
(+.f64 (-.f64 (/.f64 beta (.f64 alpha (+.f64 beta 3))) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) (-.f64 (.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) alpha) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 beta 3) 4) beta))))
(+.f64 (-.f64 (/.f64 beta (.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (.f64 alpha alpha))) (.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (+.f64 -1 (/.f64 alpha (+.f64 beta 3)))))
(/.f64 beta (pow.f64 alpha 2))
(/.f64 beta (*.f64 alpha alpha))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 3)) (pow.f64 alpha 3))) (/.f64 beta (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 3) (+.f64 beta 3))) (/.f64 beta (*.f64 alpha alpha)))
(-.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) beta)))
(+.f64 (/.f64 beta (.f64 alpha alpha)) (.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 -3 beta)))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 4))))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 3) (+.f64 beta 3))) (/.f64 beta (*.f64 alpha alpha))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 3) 2))))
(+.f64 (-.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) beta))) (.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 3) 2)))
(+.f64 (/.f64 beta (.f64 alpha alpha)) (fma.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 3) 2) (.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 -3 beta))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 5))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 4)))))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 3) (+.f64 beta 3))) (/.f64 beta (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 3) 3))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 3) 2)))))
(+.f64 (-.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) beta))) (-.f64 (.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (/.f64 beta (pow.f64 alpha 5)) (pow.f64 (+.f64 beta 3) 3))))
(+.f64 (-.f64 (/.f64 beta (.f64 alpha alpha)) (.f64 (/.f64 beta (pow.f64 alpha 5)) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 3) 2) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 -3 beta))))
(/.f64 beta (pow.f64 alpha 2))
(/.f64 beta (*.f64 alpha alpha))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 3)) (pow.f64 alpha 3))) (/.f64 beta (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 3) (+.f64 beta 3))) (/.f64 beta (*.f64 alpha alpha)))
(-.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) beta)))
(+.f64 (/.f64 beta (.f64 alpha alpha)) (.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 -3 beta)))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 4))))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 3) (+.f64 beta 3))) (/.f64 beta (*.f64 alpha alpha))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 3) 2))))
(+.f64 (-.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) beta))) (.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 3) 2)))
(+.f64 (/.f64 beta (.f64 alpha alpha)) (fma.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 3) 2) (.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 -3 beta))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 5))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 4)))))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 3) (+.f64 beta 3))) (/.f64 beta (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 3) 3))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 3) 2)))))
(+.f64 (-.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) beta))) (-.f64 (.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (/.f64 beta (pow.f64 alpha 5)) (pow.f64 (+.f64 beta 3) 3))))
(+.f64 (-.f64 (/.f64 beta (.f64 alpha alpha)) (.f64 (/.f64 beta (pow.f64 alpha 5)) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 3) 2) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 -3 beta))))
(+.f64 0 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 beta (.f64 alpha (+.f64 beta (+.f64 3 alpha)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 beta (.f64 alpha (+.f64 beta (+.f64 3 alpha))))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 beta (.f64 alpha (+.f64 beta (+.f64 3 alpha))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 beta (.f64 alpha (+.f64 beta (+.f64 3 alpha))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))))) 1)
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(.f64 beta (/.f64 1 (.f64 alpha (+.f64 beta (+.f64 alpha 3)))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(.f64 beta (.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (/.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))) 1)
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(*.f64 1 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))) 2))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))) 2) (cbrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (.f64 (cbrt.f64 (/.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(.f64 (sqrt.f64 (/.f64 beta alpha)) (.f64 (sqrt.f64 (/.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 1 (+.f64 -3 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 1 (-.f64 -3 (+.f64 beta alpha))))
(/.f64 (/.f64 (neg.f64 beta) alpha) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 beta alpha))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 beta) alpha))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 beta) alpha))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (/.f64 beta 1) (/.f64 (/.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (/.f64 beta alpha)) (+.f64 beta (+.f64 alpha 3))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (/.f64 beta alpha)) (+.f64 beta (+.f64 alpha 3))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(*.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 1 alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)) (/.f64 1 (.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) alpha)))
(/.f64 (/.f64 (/.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 3 alpha)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2))
(/.f64 beta (.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2) (.f64 alpha (cbrt.f64 (+.f64 beta (+.f64 3 alpha))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) -2) (/.f64 (/.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) -2) (/.f64 beta (.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) -2) (/.f64 (/.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 3 alpha)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) -2) (/.f64 beta (.f64 alpha (cbrt.f64 (+.f64 beta (+.f64 3 alpha))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))
(.f64 (cbrt.f64 (/.f64 beta (.f64 alpha (+.f64 beta (+.f64 3 alpha))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (/.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)) (/.f64 1 (.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) alpha)))
(/.f64 (/.f64 (/.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 3 alpha)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2))
(/.f64 beta (.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2) (.f64 alpha (cbrt.f64 (+.f64 beta (+.f64 3 alpha))))))
(*.f64 (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) alpha)))
(/.f64 (/.f64 beta (*.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))) (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) -1/2) (/.f64 (/.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (pow.f64 (+.f64 beta (+.f64 3 alpha)) -1/2) (/.f64 beta (.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) alpha)))
(/.f64 (pow.f64 (+.f64 beta (+.f64 3 alpha)) -1/2) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) (/.f64 beta alpha)))
(*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 3 alpha)) -1/2) (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))) (/.f64 beta alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) alpha)))
(/.f64 (/.f64 beta (*.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))) (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))))
(.f64 (/.f64 (/.f64 beta alpha) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (.f64 (+.f64 beta alpha) 3))))
(.f64 (/.f64 (/.f64 beta alpha) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (.f64 3 (+.f64 beta alpha)))))
(.f64 (/.f64 (/.f64 beta alpha) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 9 (.f64 -3 (+.f64 beta alpha)))))
(/.f64 (/.f64 beta alpha) (/.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 9 (*.f64 (+.f64 beta alpha) (+.f64 -3 (+.f64 beta alpha))))))
(*.f64 (/.f64 (/.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9)) (+.f64 beta (-.f64 alpha 3)))
(/.f64 (*.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha -3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9))
(/.f64 (/.f64 beta alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 beta (+.f64 alpha -3))))
(/.f64 (/.f64 beta alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (-.f64 alpha (-.f64 3 beta))))
(pow.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))) 1)
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (pow.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))) 2) 1/2)
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (pow.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))) 3) 1/3)
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))) 3)
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))) 2)
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 alpha beta)) -1)
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)) 1/3)
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (*.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3))) -1)
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (/.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 3))) beta) -1)
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 alpha beta)) 1) -1)
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(neg.f64 (/.f64 (/.f64 beta alpha) (+.f64 -3 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 1 (-.f64 -3 (+.f64 beta alpha))))
(/.f64 (/.f64 (neg.f64 beta) alpha) (-.f64 -3 (+.f64 beta alpha)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))) 2))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(log.f64 (exp.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3))) 3))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(exp.f64 (log.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 alpha 3)))) 1))
(/.f64 beta (*.f64 alpha (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 beta alpha) (+.f64 beta (+.f64 3 alpha)))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
✓	0.0b	(*.f64 (+.f64 beta 3) (+.f64 beta 2))
✓	0.1b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓	10.7b	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))

Compiler

Compiled 75 to 52 computations (30.7% saved)

series14.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	-inf	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
2.0ms	beta	@	0	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
1.0ms	alpha	@	0	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
1.0ms	beta	@	inf	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
1.0ms	alpha	@	inf	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	395	60
2	6506	60

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

638×	`distribute-rgt-in_binary64`
617×	`distribute-lft-in_binary64`
410×	`associate-/r*_binary64`
410×	`fma-def_binary64`
366×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	589	6997
1	2047	6726

Stop Event

1×	node limit

Counts

194 → 293

Calls

Call 1

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

Outputs
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))
(/.f64 1/6 (/.f64 (+.f64 alpha 2) (+.f64 1 alpha)))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(fma.f64 (+.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (.f64 -1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))))) beta (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (.f64 -1/36 (+.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3)))))) beta))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))))
(fma.f64 (+.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (.f64 -1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))))) beta (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (neg.f64 (.f64 (.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (.f64 -1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))))) (/.f64 (+.f64 alpha 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))) (/.f64 (.f64 1/36 (*.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (pow.f64 (+.f64 alpha 2) 2)))))))
(-.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (.f64 -1/36 (+.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (.f64 alpha 3)))))) beta)) (.f64 (.f64 beta beta) (fma.f64 1/6 (.f64 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (.f64 -1/36 (+.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (.f64 alpha 3)))))) (+.f64 alpha 2)) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (.f64 alpha 3)))) (/.f64 (.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 7)) 1/36) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 1/36 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))))))
(fma.f64 (+.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (.f64 -1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))))) beta (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (.f64 -1 (+.f64 (.f64 (pow.f64 beta 3) (fma.f64 1/6 (/.f64 (+.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (.f64 -1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))))) (/.f64 (+.f64 alpha 2) (+.f64 alpha 7))) (fma.f64 1/36 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (.f64 -1/6 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (.f64 -1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))))) (/.f64 (+.f64 alpha 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))) (/.f64 (.f64 1/36 (.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))))))) (.f64 (.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (.f64 -1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))))) (/.f64 (+.f64 alpha 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))) (/.f64 (.f64 1/36 (.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (pow.f64 (+.f64 alpha 2) 2))))))))
(fma.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (.f64 -1/36 (+.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (.f64 alpha 3)))))) beta (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (neg.f64 (fma.f64 (pow.f64 beta 3) (fma.f64 1/6 (.f64 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (.f64 -1/36 (+.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (.f64 alpha 3)))))) (+.f64 alpha 2)) (+.f64 alpha 7)) (fma.f64 -1/6 (/.f64 (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (.f64 alpha 3))) (/.f64 (+.f64 alpha 2) (fma.f64 1/6 (.f64 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (.f64 -1/36 (+.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (.f64 alpha 3)))))) (+.f64 alpha 2)) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (.f64 alpha 3)))) (/.f64 (.f64 (.f64 (+.f64 1 alpha) (+.f64 alpha 7)) 1/36) (pow.f64 (+.f64 alpha 2) 2))))) (.f64 1/36 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (.f64 (.f64 beta beta) (fma.f64 1/6 (.f64 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (.f64 -1/36 (+.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (.f64 alpha 3)))))) (+.f64 alpha 2)) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (.f64 alpha 3)))) (/.f64 (.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 7)) 1/36) (pow.f64 (+.f64 alpha 2) 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 7 alpha)) (pow.f64 beta 3)))
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6
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(cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(.f64 (+.f64 3 beta) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 3 beta) (.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (+.f64 3 beta) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 3 beta) (.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (+.f64 3 beta) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 3 beta) (.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (log.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (+.f64 3 beta) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 3 beta) (.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1))
(.f64 (+.f64 3 beta) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 3 beta) (.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta))))
(+.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(+.f64 (+.f64 (.f64 beta 2) 6) (.f64 beta (+.f64 beta 3)))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(+.f64 (.f64 (.f64 beta (+.f64 beta 3)) 1) (.f64 (+.f64 (.f64 beta 2) 6) 1))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(+.f64 (.f64 beta (+.f64 beta 2)) (.f64 3 (+.f64 beta 2)))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(+.f64 (.f64 3 (+.f64 beta 2)) (.f64 beta (+.f64 beta 2)))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(+.f64 (.f64 (+.f64 beta 2) beta) (.f64 (+.f64 beta 2) 3))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(+.f64 (.f64 (+.f64 beta 2) 3) (.f64 (+.f64 beta 2) beta))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1)
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 (fma.f64 beta beta (-.f64 9 (.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (.f64 beta 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (-.f64 4 (.f64 2 beta)))) (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta beta (-.f64 9 (*.f64 3 beta)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (.f64 (fma.f64 beta beta (+.f64 4 (.f64 beta -2))) (fma.f64 beta beta (+.f64 9 (.f64 beta -3))))) (+.f64 (pow.f64 beta 3) 8))
(/.f64 (.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (.f64 (+.f64 beta -3) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (-.f64 4 (.f64 2 beta)))) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(.f64 (/.f64 (fma.f64 beta beta -9) (fma.f64 beta beta (+.f64 4 (.f64 beta -2)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 beta -3)))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (+.f64 beta -2)))
(/.f64 (fma.f64 beta beta -4) (/.f64 (.f64 (+.f64 beta -2) (fma.f64 beta beta (-.f64 9 (.f64 3 beta)))) (+.f64 (pow.f64 beta 3) 27)))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta beta (+.f64 9 (.f64 beta -3)))) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))
(/.f64 (.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (.f64 (+.f64 beta -3) (+.f64 beta -2)))
(*.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (fma.f64 beta beta (-.f64 9 (.f64 beta 3)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (-.f64 4 (.f64 2 beta)))) (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta beta (-.f64 9 (*.f64 3 beta)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (.f64 (fma.f64 beta beta (+.f64 4 (.f64 beta -2))) (fma.f64 beta beta (+.f64 9 (.f64 beta -3))))) (+.f64 (pow.f64 beta 3) 8))
(/.f64 (.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (.f64 (+.f64 beta -2) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(/.f64 (fma.f64 beta beta -4) (/.f64 (.f64 (+.f64 beta -2) (fma.f64 beta beta (-.f64 9 (.f64 3 beta)))) (+.f64 (pow.f64 beta 3) 27)))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta beta (+.f64 9 (.f64 beta -3)))) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9)) (.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (+.f64 beta -3)))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (-.f64 4 (.f64 2 beta)))) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(.f64 (/.f64 (fma.f64 beta beta -9) (fma.f64 beta beta (+.f64 4 (.f64 beta -2)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 beta -3)))
(/.f64 (.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -9)) (.f64 (+.f64 beta -2) (+.f64 beta -3)))
(*.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (+.f64 (.f64 beta 2) 6) 3)) (+.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (-.f64 (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 6)) (.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (*.f64 beta 2) 6)))))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 3 beta)) 3) (pow.f64 (fma.f64 beta 2 6) 3)) (fma.f64 (.f64 beta (+.f64 3 beta)) (.f64 beta (+.f64 3 beta)) (.f64 (fma.f64 beta 2 6) (-.f64 (fma.f64 beta 2 6) (*.f64 beta (+.f64 3 beta))))))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 3 beta)) 3) (pow.f64 (fma.f64 2 beta 6) 3)) (fma.f64 beta (.f64 (+.f64 3 beta) (.f64 beta (+.f64 3 beta))) (.f64 (fma.f64 2 beta 6) (-.f64 (fma.f64 2 beta 6) (*.f64 beta (+.f64 3 beta))))))
(/.f64 (-.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 6))) (-.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6)))
(/.f64 (.f64 (fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6)) (-.f64 (.f64 beta (+.f64 3 beta)) (fma.f64 beta 2 6))) (-.f64 (*.f64 beta (+.f64 3 beta)) (fma.f64 beta 2 6)))
(/.f64 (.f64 (+.f64 3 beta) (+.f64 2 beta)) (/.f64 (+.f64 (.f64 beta (-.f64 (+.f64 3 beta) 2)) -6) (+.f64 (*.f64 beta (-.f64 (+.f64 3 beta) 2)) -6)))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 beta 2)) (fma.f64 beta beta (-.f64 9 (.f64 beta 3))))
(/.f64 (+.f64 2 beta) (/.f64 (fma.f64 beta beta (-.f64 9 (*.f64 3 beta))) (+.f64 (pow.f64 beta 3) 27)))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta beta (+.f64 9 (.f64 beta -3)))) (+.f64 2 beta))
(/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 beta 2)) (+.f64 beta -3))
(/.f64 (+.f64 2 beta) (/.f64 (+.f64 beta -3) (fma.f64 beta beta -9)))
(*.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (+.f64 2 beta))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 3)) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))
(/.f64 (+.f64 3 beta) (/.f64 (fma.f64 beta beta (-.f64 4 (*.f64 2 beta))) (+.f64 (pow.f64 beta 3) 8)))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (+.f64 4 (.f64 beta -2)))) (+.f64 3 beta))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 3)) (+.f64 beta -2))
(/.f64 (+.f64 3 beta) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (+.f64 3 beta))
(/.f64 (.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))
(/.f64 (+.f64 3 beta) (/.f64 (fma.f64 beta beta (-.f64 4 (*.f64 2 beta))) (+.f64 (pow.f64 beta 3) 8)))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (+.f64 4 (.f64 beta -2)))) (+.f64 3 beta))
(/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (+.f64 beta -2))
(/.f64 (+.f64 3 beta) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (+.f64 3 beta))
(/.f64 (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (.f64 beta 3))))
(/.f64 (+.f64 2 beta) (/.f64 (fma.f64 beta beta (-.f64 9 (*.f64 3 beta))) (+.f64 (pow.f64 beta 3) 27)))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta beta (+.f64 9 (.f64 beta -3)))) (+.f64 2 beta))
(/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (+.f64 beta -3))
(/.f64 (+.f64 2 beta) (/.f64 (+.f64 beta -3) (fma.f64 beta beta -9)))
(*.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (+.f64 2 beta))
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) 1/3)
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 3 beta) (+.f64 2 beta)) 2))
(fabs.f64 (*.f64 (+.f64 3 beta) (+.f64 2 beta)))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (+.f64 beta 3)))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 3) 3)))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(fma.f64 beta (+.f64 beta 3) (+.f64 (*.f64 beta 2) 6))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(fma.f64 (+.f64 beta 3) beta (+.f64 (*.f64 beta 2) 6))
(fma.f64 beta (+.f64 3 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))

localize66.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) beta))))
✓	0.1b	(*.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) beta))
✓	0.1b	(/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) beta)))))
✓	0.8b	(/.f64 1 (.f64 (+.f64 3 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) beta)))))))

Compiler

Compiled 189 to 114 computations (39.7% saved)

series17.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

298×	`add-sqr-sqrt_binary64`
292×	`*-un-lft-identity_binary64`
292×	`pow1_binary64`
279×	`add-cbrt-cube_binary64`
279×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	136
1	560	127

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 1 alpha) (/.f64 (-.f64 alpha (.f64 (+.f64 alpha 2) (+.f64 1 alpha))) beta))) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 1 alpha) (/.f64 (-.f64 alpha (.f64 (+.f64 alpha 2) (+.f64 1 alpha))) beta))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 3 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 1 beta) (+.f64 (+.f64 1 alpha) (/.f64 (-.f64 alpha (.f64 (+.f64 alpha 2) (+.f64 1 alpha))) beta))))) -2)) (/.f64 1 (cbrt.f64 (.f64 (+.f64 3 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 1 beta) (+.f64 (+.f64 1 alpha) (/.f64 (-.f64 alpha (.f64 (+.f64 alpha 2) (+.f64 1 alpha))) beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (+.f64 3 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 1 beta) (+.f64 (+.f64 1 alpha) (/.f64 (-.f64 alpha (.f64 (+.f64 alpha 2) (+.f64 1 alpha))) beta))))) -1/2) (pow.f64 (.f64 (+.f64 3 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 1 beta) (+.f64 (+.f64 1 alpha) (/.f64 (-.f64 alpha (.f64 (+.f64 alpha 2) (+.f64 1 alpha))) beta))))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (.f64 (+.f64 3 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 1 beta) (+.f64 (+.f64 1 alpha) (/.f64 (-.f64 alpha (.f64 (+.f64 alpha 2) (+.f64 1 alpha))) beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 1 alpha) (/.f64 (-.f64 alpha (.f64 (+.f64 alpha 2) (+.f64 1 alpha))) beta))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 3 (+.f64 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simplify167.0ms (1%)

Algorithm

1×	egg-herbie

Rules

566×	`distribute-rgt-in_binary64`
547×	`distribute-lft-in_binary64`
530×	`fma-def_binary64`
324×	`times-frac_binary64`
193×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	822	12859
1	2838	12154

Stop Event

1×	node limit

Counts

220 → 360

Calls

Call 1

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

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

eval1.9s (11.1%)

Compiler: Compiled 66798 to 48126 computations (28% saved)

prune587.0ms (3.5%)

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	1322	14	1336
Fresh	11	17	28
Picked	0	1	1
Done	3	2	5
Total	1336	34	1370

Error

Counts

1370 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	33.1b	(pow.f64 beta -2)
▶	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3)))
	28.1b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))))) (-.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (+.f64 alpha beta) 3))
▶	5.6b	(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
	28.0b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
	44.3b	(/.f64 (/.f64 (.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
	62.2b	(/.f64 (/.f64 beta alpha) (+.f64 3 alpha))
	40.1b	(/.f64 (/.f64 alpha beta) beta)
	33.1b	(/.f64 (/.f64 1 beta) beta)
▶	33.2b	(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	10.0b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
	16.8b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	61.7b	(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 3 alpha)))
✓	31.1b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
▶	62.2b	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
	28.4b	(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
	34.5b	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (.f64 beta (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (*.f64 6 (+.f64 2 alpha))))
	28.5b	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 6))) (-.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6)))))
	19.2b	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 6 (*.f64 beta 5))))
	23.9b	(/.f64 (*.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
	59.7b	(/.f64 beta (*.f64 (+.f64 beta 3) alpha))
	62.4b	(/.f64 beta (*.f64 alpha alpha))
	42.7b	(/.f64 alpha (*.f64 beta beta))
✓	29.0b	(/.f64 1 (.f64 (+.f64 3 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) beta)))))))
	28.6b	(/.f64 1 (*.f64 (+.f64 3 (+.f64 alpha beta)) (/.f64 beta (+.f64 1 alpha))))
	33.3b	(/.f64 1 (*.f64 beta beta))
▶	62.3b	(/.f64 1 alpha)
✓	61.6b	(/.f64 -1 beta)
	2.6b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta)))))
	16.7b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))
	0.1b	(.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha (+.f64 3 beta)))))
	28.6b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	3.2b	(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))
	34.8b	(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))

Compiler

Compiled 1253 to 894 computations (28.7% saved)

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 91 to 61 computations (33% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`fma-neg_binary64`
365×	`log1p-udef_binary64`
364×	`expm1-udef_binary64`
210×	`add-sqr-sqrt_binary64`
205×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	399	66
2	6673	66

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify151.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

856×	`distribute-rgt-in_binary64`
837×	`distribute-lft-in_binary64`
497×	`fma-def_binary64`
423×	`times-frac_binary64`
230×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	829	11344
1	2914	10720

Stop Event

1×	node limit

Counts

208 → 370

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.6b	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))

Compiler

Compiled 17 to 9 computations (47.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`pow1_binary64`
671×	`add-log-exp_binary64`
670×	`log1p-expm1-u_binary64`
670×	`expm1-log1p-u_binary64`
656×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	130	10
2	1858	10

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

340×	`unswap-sqr_binary64`
310×	`hypot-def_binary64`
309×	`times-frac_binary64`
272×	`associate-/l*_binary64`
243×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	586
1	247	578
2	811	464
3	4321	464

Stop Event

1×	node limit

Counts

44 → 48

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 40 to 30 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

beta

-inf

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

0.0ms

beta

inf

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

0.0ms

beta

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log-prod_binary64`
543×	`prod-diff_binary64`
293×	`fma-def_binary64`
252×	`log-div_binary64`
230×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	265	19
2	3935	19

Stop Event

1×	node limit

Counts

1 → 96

Calls

Call 1

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

Outputs

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

simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

632×	`times-frac_binary64`
442×	`distribute-rgt-in_binary64`
394×	`distribute-lft-in_binary64`
258×	`associate-/l/_binary64`
230×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	359	8337
1	993	7367
2	3299	2930

Stop Event

1×	node limit

Counts

108 → 155

Calls

Call 1

Inputs
(/.f64 -1/6 beta)
(-.f64 11/36 (*.f64 1/6 (/.f64 1 beta)))
(-.f64 (+.f64 11/36 (.f64 -49/216 beta)) (.f64 1/6 (/.f64 1 beta)))
(-.f64 (+.f64 11/36 (+.f64 (.f64 -49/216 beta) (.f64 179/1296 (pow.f64 beta 2)))) (*.f64 1/6 (/.f64 1 beta)))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 84 (/.f64 1 (pow.f64 beta 5))) (*.f64 6 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 84 (/.f64 1 (pow.f64 beta 5))) (*.f64 6 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 (neg.f64 (/.f64 (pow.f64 beta -1/2) (+.f64 beta 2))) (/.f64 (pow.f64 beta -1/2) (+.f64 beta 3)) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 (neg.f64 (/.f64 (pow.f64 beta -1/2) (+.f64 beta 3))) (/.f64 (pow.f64 beta -1/2) (+.f64 beta 2)) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 (neg.f64 (/.f64 (pow.f64 beta -1/2) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (pow.f64 beta -1/2) (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))))
(+.f64 0 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (neg.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))))
(+.f64 (fma.f64 1 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (neg.f64 (.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)) 1))) (fma.f64 (neg.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))) 1 (*.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)) 1)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)) 1))) (fma.f64 (neg.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))) 1 (.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)) 1))) (fma.f64 (neg.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))) 1 (.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (neg.f64 (.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 beta)))) (fma.f64 (neg.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 1 beta) (.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 beta))))
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(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 beta)))) (fma.f64 (neg.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 1 beta) (.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 beta))))
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(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (neg.f64 (.f64 (/.f64 (pow.f64 beta -1/2) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 beta -1/2) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (.f64 (/.f64 (pow.f64 beta -1/2) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (.f64 (/.f64 (pow.f64 beta -1/2) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 beta -1/2) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (.f64 (/.f64 (pow.f64 beta -1/2) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (.f64 (/.f64 (pow.f64 beta -1/2) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 beta -1/2) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (.f64 (/.f64 (pow.f64 beta -1/2) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 (/.f64 (cbrt.f64 (/.f64 1 beta)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 1)
(.f64 1 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(.f64 (+.f64 1 (/.f64 -1 beta)) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2) (.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (+.f64 -1 (neg.f64 (/.f64 -1 beta))) (/.f64 1 (.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3)))))
(.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 1 (/.f64 -1 beta)))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2) (+.f64 beta 3)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (+.f64 beta 3)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (+.f64 beta 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2) (+.f64 beta 2)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) (+.f64 beta 3)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (/.f64 (+.f64 1 (/.f64 -1 beta)) (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (+.f64 1 (/.f64 -1 beta)) (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (-.f64 (fma.f64 beta beta 4) (.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (fma.f64 beta beta -4)) (+.f64 beta -2))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta 3) (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 2))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1 beta)) 3) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 beta)) (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(exp.f64 (.f64 (-.f64 (log1p.f64 (/.f64 -1 beta)) (log.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1))
(fma.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (neg.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))))
(fma.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))))

Outputs
(/.f64 -1/6 beta)
(-.f64 11/36 (*.f64 1/6 (/.f64 1 beta)))
(-.f64 11/36 (/.f64 1/6 beta))
(+.f64 11/36 (/.f64 -1/6 beta))
(-.f64 (+.f64 11/36 (.f64 -49/216 beta)) (.f64 1/6 (/.f64 1 beta)))
(+.f64 11/36 (-.f64 (*.f64 beta -49/216) (/.f64 1/6 beta)))
(+.f64 11/36 (fma.f64 beta -49/216 (/.f64 -1/6 beta)))
(-.f64 (+.f64 11/36 (+.f64 (.f64 -49/216 beta) (.f64 179/1296 (pow.f64 beta 2)))) (*.f64 1/6 (/.f64 1 beta)))
(+.f64 11/36 (-.f64 (fma.f64 -49/216 beta (.f64 179/1296 (.f64 beta beta))) (/.f64 1/6 beta)))
(+.f64 11/36 (+.f64 (.f64 179/1296 (.f64 beta beta)) (fma.f64 beta -49/216 (/.f64 -1/6 beta))))
(+.f64 (fma.f64 beta -49/216 11/36) (fma.f64 179/1296 (*.f64 beta beta) (/.f64 -1/6 beta)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 6 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -6 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (.f64 6 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 24 (pow.f64 beta 4)) (/.f64 6 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 24 (pow.f64 beta 4)) (/.f64 -6 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 84 (/.f64 1 (pow.f64 beta 5))) (*.f64 6 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 24 (pow.f64 beta 4)) (+.f64 (/.f64 6 (pow.f64 beta 3)) (/.f64 84 (pow.f64 beta 5)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 24 (pow.f64 beta 4)) (/.f64 -6 (pow.f64 beta 3)))) (/.f64 84 (pow.f64 beta 5)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 24 (pow.f64 beta 4)) (-.f64 (/.f64 -84 (pow.f64 beta 5)) (/.f64 6 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 6 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -6 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (.f64 6 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 24 (pow.f64 beta 4)) (/.f64 6 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 24 (pow.f64 beta 4)) (/.f64 -6 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 84 (/.f64 1 (pow.f64 beta 5))) (*.f64 6 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 24 (pow.f64 beta 4)) (+.f64 (/.f64 6 (pow.f64 beta 3)) (/.f64 84 (pow.f64 beta 5)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 24 (pow.f64 beta 4)) (/.f64 -6 (pow.f64 beta 3)))) (/.f64 84 (pow.f64 beta 5)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 24 (pow.f64 beta 4)) (-.f64 (/.f64 -84 (pow.f64 beta 5)) (/.f64 6 (pow.f64 beta 3)))))
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(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
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(+.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2))) (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (sqrt.f64 (/.f64 (/.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2))) (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 beta)) (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (exp.f64 (log1p.f64 (/.f64 -1 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(exp.f64 (.f64 (-.f64 (log1p.f64 (/.f64 -1 beta)) (log.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 beta)) (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (exp.f64 (log1p.f64 (/.f64 -1 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(fma.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (neg.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (sqrt.f64 (/.f64 (/.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2))) (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(fma.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (sqrt.f64 (/.f64 (/.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2))) (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (sqrt.f64 (/.f64 (/.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2))) (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.0b

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

✓

0.1b

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

✓

19.3b

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

Compiler

Compiled 73 to 45 computations (38.4% saved)

series18.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
3.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
1.0ms	beta	@	0	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`fma-def_binary64`
422×	`fma-neg_binary64`
305×	`log1p-udef_binary64`
304×	`expm1-udef_binary64`
180×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	344	41
2	5527	41

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs

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

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

Outputs

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

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

672×	`distribute-rgt-in_binary64`
657×	`distribute-lft-in_binary64`
491×	`fma-def_binary64`
324×	`associate-/l*_binary64`
291×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	625	6938
1	2211	6495

Stop Event

1×	node limit

Counts

126 → 240

Calls

Call 1

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

Outputs
(/.f64 1 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))
(fma.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 4 (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (.f64 4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (.f64 4 (/.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 1 (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 4 (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 -1 (.f64 (.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 4 (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (*.f64 2 alpha)))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 4 (pow.f64 (+.f64 2 alpha) 4)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (.f64 (.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 4 (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 2 alpha 4)))))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (.f64 4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (.f64 4 (/.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 (-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 6))) (.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 6)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (.f64 4 (/.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 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 beta 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))
(fma.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 4 (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 -1 (.f64 (.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 4 (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (.f64 2 alpha)))))) (fma.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 2 alpha) 6)) (-.f64 (/.f64 (.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 6)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 4 (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (.f64 2 alpha))))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (.f64 2 alpha)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 beta 3) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))
(fma.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 4 (pow.f64 (+.f64 2 alpha) 4)))) (-.f64 (fma.f64 (-.f64 (fma.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 6)) (/.f64 4 (pow.f64 (+.f64 2 alpha) 6))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 4 (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 2 alpha 4)))) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 2 alpha 4)))) (pow.f64 beta 3) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 4 (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 2 alpha 4)))))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 3 (.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 (.f64 2 alpha) 3) (.f64 beta beta))))
(-.f64 (/.f64 1 beta) (/.f64 (fma.f64 2 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 3 (.f64 2 alpha)) (pow.f64 beta 2))) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 -1 (.f64 (+.f64 3 (.f64 2 alpha)) (+.f64 4 (*.f64 2 alpha))))) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (+.f64 (.f64 2 alpha) 3) (.f64 beta beta)) (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (neg.f64 (.f64 (+.f64 4 (.f64 2 alpha)) (+.f64 (*.f64 2 alpha) 3)))) (pow.f64 beta 3)))))
(-.f64 (-.f64 (/.f64 1 beta) (/.f64 (fma.f64 2 alpha 3) (.f64 beta beta))) (/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (fma.f64 2 alpha 4) (fma.f64 2 alpha 3))) (pow.f64 beta 3)))
(+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1 (.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 -1 (.f64 (+.f64 3 (.f64 2 alpha)) (+.f64 4 (.f64 2 alpha))))) (+.f64 4 (.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 3 (.f64 2 alpha)) (pow.f64 beta 2))) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 -1 (.f64 (+.f64 3 (.f64 2 alpha)) (+.f64 4 (.f64 2 alpha))))) (pow.f64 beta 3))))))
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (.f64 2 alpha) 3)) (.f64 (+.f64 4 (.f64 2 alpha)) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (neg.f64 (.f64 (+.f64 4 (.f64 2 alpha)) (+.f64 (.f64 2 alpha) 3))))))) (pow.f64 beta 4)) (fma.f64 -1 (/.f64 (+.f64 (.f64 2 alpha) 3) (.f64 beta beta)) (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (neg.f64 (.f64 (+.f64 4 (.f64 2 alpha)) (+.f64 (*.f64 2 alpha) 3)))) (pow.f64 beta 3))))))
(+.f64 (/.f64 1 beta) (-.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 2 alpha 3)) (.f64 beta beta)) (/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (fma.f64 2 alpha 4) (fma.f64 2 alpha 3))) (pow.f64 beta 3))) (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 2 alpha 3) (.f64 (fma.f64 2 alpha 4) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (fma.f64 2 alpha 4) (fma.f64 2 alpha 3)))))) (pow.f64 beta 4))))
(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (.f64 beta beta)) (.f64 2 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (fma.f64 2 alpha 4) (.f64 beta beta))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 1 (.f64 2 (+.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))) (*.f64 2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 2 alpha) (/.f64 (pow.f64 beta 3) (+.f64 1 (.f64 -2 (+.f64 2 alpha))))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta beta)) (neg.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))) (.f64 -2 (/.f64 (+.f64 2 alpha) (.f64 beta beta))))
(-.f64 (+.f64 (fma.f64 -2 (.f64 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3)) (-.f64 1 (fma.f64 2 alpha 4))) (/.f64 1 beta)) (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) (/.f64 (fma.f64 2 alpha 4) (*.f64 beta beta)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 1 (.f64 2 (+.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (.f64 2 (+.f64 2 alpha)))) (.f64 2 (.f64 (+.f64 2 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (-.f64 1 (.f64 2 (+.f64 2 alpha))))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))) (.f64 2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 2 alpha) (/.f64 (pow.f64 beta 3) (+.f64 1 (.f64 -2 (+.f64 2 alpha))))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta beta)) (.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (/.f64 (fma.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (.f64 -2 (+.f64 2 alpha))) (.f64 2 (.f64 (+.f64 2 alpha) (fma.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 1 (.f64 -2 (+.f64 2 alpha)))) (neg.f64 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))) (.f64 -2 (/.f64 (+.f64 2 alpha) (.f64 beta beta))))
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(*.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 2 alpha) beta))) 2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) 3)) (+.f64 (+.f64 2 alpha) beta))) 2)
(.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (+.f64 1 beta) (/.f64 1 (.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 (+.f64 alpha beta) 3)))
(.f64 (.f64 (+.f64 beta 1) (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (+.f64 1 beta) (.f64 (neg.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (-.f64 -1 beta)) (+.f64 (neg.f64 (+.f64 alpha beta)) -3))
(.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(.f64 (+.f64 1 beta) (/.f64 1 (.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 (+.f64 alpha beta) 3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(.f64 (+.f64 1 beta) (/.f64 1 (.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 (+.f64 alpha beta) 3)))
(*.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) 1) (/.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha 3))))
(.f64 (+.f64 1 beta) (/.f64 1 (.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 (+.f64 alpha beta) 3)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 3)) 2)) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (cbrt.f64 (+.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 3)) 2)) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (cbrt.f64 (+.f64 (+.f64 alpha beta) 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)))))
(.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 3)) 2) (cbrt.f64 (.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 2 alpha) beta)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 2 alpha) beta)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 3)) 2)) (cbrt.f64 (+.f64 (+.f64 alpha beta) 3)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (*.f64 1 (/.f64 (+.f64 1 beta) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 (+.f64 alpha beta) 3))) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (sqrt.f64 (+.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (*.f64 1 (/.f64 (+.f64 1 beta) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 (+.f64 alpha beta) 3))) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (sqrt.f64 (+.f64 (+.f64 alpha beta) 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (*.f64 1 (/.f64 (+.f64 1 beta) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 (+.f64 alpha beta) 3))) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (sqrt.f64 (+.f64 (+.f64 alpha beta) 3))))
(.f64 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 9) (*.f64 (+.f64 beta alpha) 3)))
(.f64 (/.f64 (.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2)) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 3 (+.f64 alpha beta)))))
(/.f64 (.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2)) (/.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 9 (.f64 (+.f64 alpha beta) -3)))))
(.f64 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9)) (+.f64 beta (-.f64 alpha 3)))
(.f64 (/.f64 (.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (+.f64 beta (+.f64 alpha -3)))
(/.f64 (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9) (+.f64 (+.f64 alpha beta) -3)))
(pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) 1)
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3)))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) 3) 1/3)
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)))) 3)
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3)))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 2 alpha) beta))) 2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) 3)) (+.f64 (+.f64 2 alpha) beta))) 2)
(pow.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) -1)
(.f64 (+.f64 1 beta) (/.f64 1 (.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 (+.f64 alpha beta) 3)))
(neg.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (neg.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (+.f64 1 beta) (.f64 (neg.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (-.f64 -1 beta)) (+.f64 (neg.f64 (+.f64 alpha beta)) -3))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2)) 2))
(fabs.f64 (*.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3))))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) 3))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (+.f64 (+.f64 alpha beta) 3)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 (+.f64 alpha beta) 3)))
(exp.f64 (.f64 (-.f64 (log1p.f64 beta) (log.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 alpha 3))))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 (+.f64 alpha beta) 3)))

eval1.2s (7.1%)

Compiler: Compiled 49852 to 37052 computations (25.7% saved)

prune304.0ms (1.8%)

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	1069	8	1077
Fresh	0	26	26
Picked	1	0	1
Done	2	5	7
Total	1072	39	1111

Error

Counts

1111 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	33.1b	(pow.f64 beta -2)
✓	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3)))
	5.4b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))
	15.4b	(/.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3)))
	28.1b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))))) (-.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (+.f64 alpha beta) 3))
	28.0b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
	44.3b	(/.f64 (/.f64 (.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
	62.2b	(/.f64 (/.f64 beta alpha) (+.f64 3 alpha))
	40.1b	(/.f64 (/.f64 alpha beta) beta)
	32.6b	(/.f64 (/.f64 1 beta) (+.f64 (+.f64 alpha beta) 3))
	33.1b	(/.f64 (/.f64 1 beta) beta)
	62.1b	(/.f64 (/.f64 1 alpha) alpha)
✓	33.2b	(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	33.6b	(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 beta (+.f64 beta 5)))
	10.0b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
	16.8b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	61.7b	(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 3 alpha)))
✓	31.1b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
✓	62.2b	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
	0.1b	(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 1 alpha)))) (+.f64 beta (+.f64 alpha 3)))
	28.4b	(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
	34.5b	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (.f64 beta (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (*.f64 6 (+.f64 2 alpha))))
	28.5b	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 6))) (-.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6)))))
	19.2b	(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 6 (*.f64 beta 5))))
	23.9b	(/.f64 (*.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
	59.7b	(/.f64 beta (*.f64 (+.f64 beta 3) alpha))
	62.4b	(/.f64 beta (*.f64 alpha alpha))
	42.7b	(/.f64 alpha (*.f64 beta beta))
	28.6b	(/.f64 1 (*.f64 (+.f64 3 (+.f64 alpha beta)) (/.f64 beta (+.f64 1 alpha))))
	33.3b	(/.f64 1 (*.f64 beta beta))
✓	62.3b	(/.f64 1 alpha)
	61.6b	(/.f64 -1/6 beta)
	2.6b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta)))))
	16.7b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))
	33.1b	(*.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
	0.1b	(.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha (+.f64 3 beta)))))
	28.6b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	3.2b	(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))
	34.8b	(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))

Compiler

Compiled 715 to 515 computations (28% saved)

regimes124.0ms (0.7%)

Counts

69 → 1

Calls

Call 1

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

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

Calls

3 calls:

37.0ms

alpha

36.0ms

beta

22.0ms

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

Results

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

Compiler

Compiled 1336 to 857 computations (35.9% saved)

regimes96.0ms (0.6%)

Counts

46 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

42.0ms	beta
40.0ms	alpha

Results

Error	Segments	Branch
0.5b	2	`alpha`
0.1b	2	`beta`

Compiler

Compiled 613 to 379 computations (38.2% saved)

bsearch8.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
8.0ms	2.1645126219114734e+123	2.6322759118683236e+123

Results

7.0ms

48×

body

256

valid

Compiler

Compiled 204 to 145 computations (28.9% saved)

regimes91.0ms (0.5%)

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

39.0ms	alpha
39.0ms	beta

Results

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

Compiler

Compiled 563 to 346 computations (38.5% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	72769532.16836685	24674226602322.945

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 456 to 334 computations (26.8% saved)

regimes87.0ms (0.5%)

Counts

42 → 2

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	beta
37.0ms	alpha

Results

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

Compiler

Compiled 517 to 319 computations (38.3% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	24674226602322.945	33150782971815977000.0

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 402 to 298 computations (25.9% saved)

regimes64.0ms (0.4%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	beta
28.0ms	alpha

Results

Error	Segments	Branch
18.0b	2	`alpha`
1.5b	2	`beta`

Compiler

Compiled 277 to 165 computations (40.4% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	0.00010341857960814492	289.0500738118898

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 330 to 253 computations (23.3% saved)

regimes58.0ms (0.3%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	beta
25.0ms	alpha

Results

Error	Segments	Branch
18.9b	2	`alpha`
1.6b	2	`beta`

Compiler

Compiled 243 to 143 computations (41.2% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	0.00010341857960814492	289.0500738118898

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 276 to 208 computations (24.6% saved)

regimes46.0ms (0.3%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	beta
20.0ms	alpha

Results

Error	Segments	Branch
19.1b	2	`alpha`
1.6b	2	`beta`

Compiler

Compiled 151 to 86 computations (43% saved)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	0.00010341857960814492	289.0500738118898

Results

23.0ms

144×

body

256

valid

Compiler

Compiled 258 to 199 computations (22.9% saved)

regimes88.0ms (0.5%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

2 calls:

62.0ms	alpha
23.0ms	beta

Results

Error	Segments	Branch
19.1b	3	`alpha`
1.7b	3	`beta`

Compiler

Compiled 91 to 50 computations (45.1% saved)

bsearch29.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
3.0ms	1.2995481616180204e+160	5.589778723790168e+162
26.0ms	0.00010341857960814492	289.0500738118898

Results

27.0ms

160×

body

256

valid

Compiler

Compiled 258 to 193 computations (25.2% saved)

regimes60.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	alpha
15.0ms	beta

Results

Error	Segments	Branch
28.7b	2	`alpha`
28.7b	2	`beta`

Compiler

Compiled 82 to 43 computations (47.6% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	1.2995481616180204e+160	5.589778723790168e+162

Results

15.0ms

96×

body

256

valid

Compiler

Compiled 150 to 100 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	beta
12.0ms	alpha

Results

Error	Segments	Branch
28.9b	2	`alpha`
30.7b	2	`beta`

Compiler

Compiled 61 to 33 computations (45.9% saved)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	5.961490105856753e-8	14333551.175532544

Results

23.0ms

160×

body

256

valid

Compiler

Compiled 202 to 138 computations (31.7% saved)

regimes45.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	beta
10.0ms	alpha

Results

Error	Segments	Branch
31.3b	2	`alpha`
33.1b	1	`beta`

Compiler

Compiled 42 to 24 computations (42.9% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	5.961490105856753e-8	14333551.175532544

Results

24.0ms

160×

body

256

valid

Compiler

Compiled 202 to 138 computations (31.7% saved)

regimes45.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	alpha
5.0ms	beta

Results

Error	Segments	Branch
31.5b	2	`alpha`
33.3b	1	`beta`

Compiler

Compiled 37 to 21 computations (43.2% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	5.961490105856753e-8	14333551.175532544

Results

24.0ms

160×

body

256

valid

Compiler

Compiled 202 to 138 computations (31.7% saved)

regimes13.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	alpha
4.0ms	beta

Results

Error	Segments	Branch
33.3b	1	`alpha`
33.3b	1	`beta`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0%)

Accuracy

Total -1.2b remaining (-2%)

Threshold costs -1.2b (-2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 -1/6 beta)

Calls

2 calls:

3.0ms	alpha
3.0ms	beta

Results

Error	Segments	Branch
61.6b	1	`alpha`
61.6b	1	`beta`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
12×	`*-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	480
1	116	480
2	121	480
3	129	480
4	135	480
5	138	480
6	139	480

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(if (<=.f64 beta 2349999999999999896244059870622102864553875044581318233028340050887357361869133730015913988895483233690764587199920294854656) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 3750000000000) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 840000000000000) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 7746191359077253/9007199254740992) (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (/.f64 (.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 4841369599423283/2251799813685248) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 8106479329266893/2251799813685248) (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 8219069319951155/2251799813685248) (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (if (<=.f64 beta 20000000000000000130568154901364531136913284297772534236897689091041023555676362285020675019977734071632684940374351570387500235297087060712369097300876562792448) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 14999999999999999317488978597025340507285655775037824240523731152037979951968031807422571560041895523647987939407770887833892396121159571672282903153586095521792) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 alpha 1) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 alpha 4728779608739021/4503599627370496) (/.f64 (/.f64 1 beta) beta) (/.f64 alpha (*.f64 beta beta)))
(if (<=.f64 alpha 3602879701896397/2251799813685248) (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 beta beta))
(/.f64 -1/6 beta)
(/.f64 -1 beta)

Outputs
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(if (<=.f64 beta 2349999999999999896244059870622102864553875044581318233028340050887357361869133730015913988895483233690764587199920294854656) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 2349999999999999896244059870622102864553875044581318233028340050887357361869133730015913988895483233690764587199920294854656) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 2349999999999999896244059870622102864553875044581318233028340050887357361869133730015913988895483233690764587199920294854656) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 3750000000000) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 3750000000000) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 3750000000000) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 840000000000000) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 840000000000000) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 7746191359077253/9007199254740992) (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (/.f64 (.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 7746191359077253/9007199254740992) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 4841369599423283/2251799813685248) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 4841369599423283/2251799813685248) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 3 (+.f64 beta alpha))))
(if (<=.f64 beta 8106479329266893/2251799813685248) (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 8219069319951155/2251799813685248) (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (if (<=.f64 beta 20000000000000000130568154901364531136913284297772534236897689091041023555676362285020675019977734071632684940374351570387500235297087060712369097300876562792448) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 14999999999999999317488978597025340507285655775037824240523731152037979951968031807422571560041895523647987939407770887833892396121159571672282903153586095521792) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 alpha 1) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 alpha 4728779608739021/4503599627370496) (/.f64 (/.f64 1 beta) beta) (/.f64 alpha (*.f64 beta beta)))
(if (<=.f64 alpha 3602879701896397/2251799813685248) (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 beta beta))
(/.f64 -1/6 beta)
(/.f64 -1 beta)

Compiler

Compiled 359 to 250 computations (30.4% saved)

soundness196.0ms (1.2%)

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 605 to 386 computations (36.2% saved)

end255.0ms (1.5%)

Remove: (sort alpha beta)
Compiler: Compiled 385 to 251 computations (34.8% saved)