Details

analyze54.0ms (0.6%)

Algorithm

1×

Search

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.5s (15.3%)

Results

1.4s	8234×	body	64	valid
6.0ms	22×	body	128	valid

preprocess76.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	80
1	61	76
2	161	76
3	831	74
4	5175	74
5	5937	74
6	6315	74
7	6985	74
8	7521	74
9	7534	74
0	2	2
1	2	2

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs

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

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

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

Symmetry

(sort alpha beta)

Compiler

Compiled 37 to 24 computations (35.1% saved)

simplify179.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	2.4b	(/.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))
	5.7b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))

Status

Error

Program

▶

2.4b

(/.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))

5.7b

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

Compiler

Compiled 190 to 127 computations (33.2% saved)

localize14.0ms (0.1%)

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))
✓	2.2b	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1)))

series39.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

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

rewrite105.0ms (1.1%)

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	5740	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 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (neg.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (.f64 (+.f64 alpha beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 alpha (+.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 exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log1p.f64 (+.f64 (+.f64 alpha 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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))) (pow.f64 (cbrt.f64 (fma.f64 alpha beta (+.f64 alpha beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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) (fma.f64 alpha beta (neg.f64 (+.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) (fma.f64 alpha beta (neg.f64 (+.f64 alpha beta))))) (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> 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(.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 (+.f64 alpha 1) 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 (+.f64 alpha beta) (fma.f64 alpha beta -1))) -1)))))

simplify122.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

699×	`distribute-rgt-in_binary64`
688×	`distribute-lft-in_binary64`
502×	`fma-def_binary64`
281×	`times-frac_binary64`
273×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	577	8253
1	2230	7767

Stop Event

1×	node limit

Counts

282 → 335

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

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

prune1.8s (18.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	327	8	335
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	329	8	337

Error

0.0b

Counts

337 → 8

Alt Table

Status	Error	Program
	9.2b	(.f64 (/.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 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 2))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
	2.4b	(/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) -1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	28.1b	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 1 alpha)) (/.f64 (+.f64 2 alpha) (/.f64 beta (-.f64 -1 alpha)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	2.4b	(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 2)) (.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
▶	2.3b	(/.f64 (.f64 (/.f64 (+.f64 -1 (neg.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	3.0b	(pow.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) -1)
	2.6b	(/.f64 (/.f64 (exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log1p.f64 (+.f64 (+.f64 alpha beta) 1)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	3.0b	(/.f64 (.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))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))

Compiler

Compiled 20484 to 14463 computations (29.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta))))
✓	0.0b	(*.f64 (/.f64 (+.f64 -1 (neg.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
✓	0.1b	(/.f64 (.f64 (/.f64 (+.f64 -1 (neg.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
✓	2.2b	(/.f64 (+.f64 -1 (neg.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2)))

series22.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite94.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

256×	`add-sqr-sqrt_binary64`
249×	`*-un-lft-identity_binary64`
249×	`pow1_binary64`
239×	`add-cbrt-cube_binary64`
238×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	97
1	518	85

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

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

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

simplify127.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

696×	`distribute-rgt-in_binary64`
683×	`distribute-lft-in_binary64`
581×	`fma-def_binary64`
264×	`associate-/r*_binary64`
255×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	591	8873
1	2336	8189

Stop Event

1×	node limit

Counts

256 → 324

Calls

Call 1

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

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

prune1.5s (15.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	321	3	324
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	324	8	332

Error

0.0b

Counts

332 → 8

Alt Table

Status	Error	Program
	9.2b	(.f64 (/.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 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 2))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
▶	2.4b	(/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) -1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	28.4b	(/.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 (fma.f64 2 alpha 4) beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
✓	2.3b	(/.f64 (.f64 (/.f64 (+.f64 -1 (neg.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	2.6b	(/.f64 (/.f64 (exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log1p.f64 (+.f64 (+.f64 alpha beta) 1)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	3.0b	(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 1) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (+.f64 beta (+.f64 alpha 3)))))
	3.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
	3.0b	(/.f64 (.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))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))

Compiler

Compiled 19810 to 13888 computations (29.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) -1) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
✓	0.0b	(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) -1)
✓	0.1b	(/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) -1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
✓	2.2b	(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))

series32.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

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

rewrite117.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

383×	`log1p-udef_binary64`
382×	`expm1-udef_binary64`
224×	`add-sqr-sqrt_binary64`
219×	`pow1_binary64`
218×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	116
1	449	107
2	6960	107

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

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

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

simplify154.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

873×	`distribute-rgt-in_binary64`
862×	`distribute-lft-in_binary64`
679×	`fma-def_binary64`
454×	`times-frac_binary64`
257×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	753	11526
1	2870	10856

Stop Event

1×	node limit

Counts

259 → 338

Calls

Call 1

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

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

prune1.8s (19.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	332	6	338
Fresh	5	1	6
Picked	0	1	1
Done	0	1	1
Total	337	9	346

Error

0.0b

Counts

346 → 9

Alt Table

Status	Error	Program
✓	2.4b	(/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) -1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	2.4b	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta))) 3)) -1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
✓	2.3b	(/.f64 (.f64 (/.f64 (+.f64 -1 (neg.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	3.3b	(/.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (fma.f64 (-.f64 (/.f64 1 (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1)))) alpha (/.f64 2 (+.f64 beta 1)))) -1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	7.4b	(/.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 3) 1/3) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
▶	2.4b	(/.f64 (log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	3.0b	(/.f64 (.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 beta -2))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	28.4b	(/.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (-.f64 (-.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (.f64 -2 (.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 (+.f64 2 alpha) beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	3.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))

Compiler

Compiled 25000 to 18215 computations (27.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))
✓	0.1b	(/.f64 (log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
✓	2.2b	(/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))

series16.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))
1.0ms	alpha	@	0	(/.f64 (log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.0ms	beta	@	0	(/.f64 (log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.0ms	beta	@	-inf	(/.f64 (log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.0ms	alpha	@	-inf	(/.f64 (log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

rewrite117.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`fma-neg_binary64`
340×	`log1p-udef_binary64`
339×	`expm1-udef_binary64`
196×	`add-sqr-sqrt_binary64`
193×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	116
1	400	98
2	6104	98

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

Inputs
(/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))

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

simplify138.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

692×	`distribute-rgt-in_binary64`
681×	`distribute-lft-in_binary64`
492×	`fma-def_binary64`
289×	`associate-r_binary64`
281×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	566	10623
1	2204	9974

Stop Event

1×	node limit

Counts

277 → 273

Calls

Call 1

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

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

prune1.3s (13.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	272	1	273
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	273	9	282

Error

0.0b

Counts

282 → 9

Alt Table

Status	Error	Program
✓	2.4b	(/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) -1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	2.4b	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta))) 3)) -1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
✓	2.3b	(/.f64 (.f64 (/.f64 (+.f64 -1 (neg.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	3.3b	(/.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (fma.f64 (-.f64 (/.f64 1 (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1)))) alpha (/.f64 2 (+.f64 beta 1)))) -1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	7.4b	(/.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 3) 1/3) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
✓	2.4b	(/.f64 (log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	3.0b	(/.f64 (.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 beta -2))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	3.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
	28.4b	(/.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (+.f64 (-.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 (fma.f64 2 alpha 4) beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

Compiler

Compiled 17494 to 12659 computations (27.6% saved)

regimes98.0ms (1%)

Accuracy

Total -37.8b remaining (-39717.4%)

Threshold costs -37.8b (-39717.4%)

Counts

20 → 2

Calls

Call 1

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

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

Results

27.0ms	0.2b	`alpha`
45.0ms	0.1b	`beta`
9.0ms	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))`

Compiler

Compiled 761 to 487 computations (36% saved)

bsearch33.0ms (0.3%)

Algorithm

1×	binary-search

Calls

1 calls:

32.0ms

beta

Steps

Iters	Point		Range
5.542132606452304e+90	∈ [	5.542132606452304e+90	,	9.168697533533247e+93	]

Compiler

Compiled 42 to 28 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
12×	`cancel-sign-sub-inv_binary64`
11×	`sub-neg_binary64`
11×	`unsub-neg_binary64`
11×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	106
1	64	106
2	80	106
3	95	106
4	110	106
5	127	106
6	135	106
7	147	106
8	160	106
9	166	106

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 beta 5542132606452303704734966968211346357692021059504606812615687610257373571922334009421463552) (/.f64 (*.f64 (/.f64 (+.f64 -1 (neg.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (/.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 (fma.f64 2 alpha 4) beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))

Outputs
(if (<=.f64 beta 5542132606452303704734966968211346357692021059504606812615687610257373571922334009421463552) (/.f64 (.f64 (/.f64 (+.f64 -1 (neg.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)) (/.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (+.f64 (-.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 (fma.f64 2 alpha 4) beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 5542132606452303704734966968211346357692021059504606812615687610257373571922334009421463552) (/.f64 (.f64 (/.f64 (-.f64 -1 (fma.f64 alpha beta (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (-.f64 -2 (+.f64 beta alpha)))) (+.f64 1 (+.f64 (+.f64 beta alpha) 2))) (/.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (+.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 (fma.f64 2 alpha 4) beta))))) (+.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(if (<=.f64 beta 5542132606452303704734966968211346357692021059504606812615687610257373571922334009421463552) (/.f64 (.f64 (/.f64 (-.f64 -1 (fma.f64 alpha beta (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (-.f64 -2 (+.f64 beta alpha)))) (+.f64 1 (+.f64 (+.f64 beta alpha) 2))) (/.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (+.f64 (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (+.f64 alpha 1) beta)) (/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 (fma.f64 2 alpha 4) beta))))) (+.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(if (<=.f64 beta 5542132606452303704734966968211346357692021059504606812615687610257373571922334009421463552) (/.f64 (.f64 (/.f64 (-.f64 -1 (fma.f64 alpha beta (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (-.f64 -2 (+.f64 beta alpha)))) (+.f64 1 (+.f64 (+.f64 beta alpha) 2))) (/.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (-.f64 (/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 (fma.f64 2 alpha 4) beta))) (-.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 alpha (*.f64 beta beta))))) (+.f64 1 (+.f64 (+.f64 beta alpha) 2))))

end48.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 296 to 184 computations (37.8% saved)

Iter	Nodes	Cost
0	40	106
1	64	106
2	80	106
3	95	106
4	110	106
5	127	106
6	135	106
7	147	106
8	160	106
9	166	106

Iter	Nodes	Cost
0	40	106
1	64	106
2	80	106
3	95	106
4	110	106
5	127	106
6	135	106
7	147	106
8	160	106
9	166	106

Details

analyze54.0ms (0.6%)

sample1.5s (15.3%)

preprocess76.0ms (0.8%)

simplify179.0ms (1.9%)

prune4.0ms (0%)

localize14.0ms (0.1%)

series39.0ms (0.4%)

rewrite105.0ms (1.1%)

simplify122.0ms (1.3%)

prune1.8s (18.9%)

localize19.0ms (0.2%)

series22.0ms (0.2%)

rewrite94.0ms (1%)

simplify127.0ms (1.3%)

prune1.5s (15.4%)

localize17.0ms (0.2%)

series32.0ms (0.3%)

rewrite117.0ms (1.2%)

simplify154.0ms (1.6%)

prune1.8s (19.3%)

localize18.0ms (0.2%)

series16.0ms (0.2%)

rewrite117.0ms (1.2%)

simplify138.0ms (1.4%)

prune1.3s (13.7%)

regimes98.0ms (1%)

bsearch33.0ms (0.3%)

simplify8.0ms (0.1%)

end48.0ms (0.5%)

Profiling

Iter	Nodes	Cost
0	40	106
1	64	106
2	80	106
3	95	106
4	110	106
5	127	106
6	135	106
7	147	106
8	160	106
9	166	106