Details

analyze123.0ms (0.9%)

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)

sample1.7s (11.7%)

Results

1.6s

8256×

body

256

valid

preprocess105.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	80
1	65	76
2	165	76
3	837	74
4	5205	74
5	5999	74
6	6366	74
7	7042	74
8	7596	74
9	7609	74
0	2	2
1	2	2

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs

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

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

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

Symmetry

(sort alpha beta)

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify146.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval2.0ms (0%)

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

prune5.0ms (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

3.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.6b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	9.2b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

Status

Error

Program

▶

3.6b

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

▶

9.2b

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

Compiler

Compiled 64 to 43 computations (32.8% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 alpha 1) (+.f64 beta 1))
✓	0.0b	(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))
✓	0.1b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))
✓	9.1b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

Compiler

Compiled 89 to 54 computations (39.3% saved)

series26.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite129.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	397	76
2	6651	76

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

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

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

simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

501×	`distribute-rgt-in_binary64`
491×	`distribute-lft-in_binary64`
411×	`fma-def_binary64`
330×	`associate-+r+_binary64`
282×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	5598
1	1370	5064
2	7236	5013

Stop Event

1×	node limit

Counts

280 → 299

Calls

Call 1

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

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

localize35.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
✓	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
✓	3.4b	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1)))

New

Error

Program

✓

0.0b

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

✓

0.1b

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

✓

3.4b

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

Compiler

Compiled 124 to 60 computations (51.6% saved)

series25.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite113.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	93
1	349	75
2	5771	75

Stop Event

1×	node limit

Counts

3 → 119

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)))

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)))

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

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 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 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (/.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))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1)))) 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simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	566	8046
1	2205	7585

Stop Event

1×	node limit

Counts

191 → 252

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

eval817.0ms (5.7%)

Compiler: Compiled 29820 to 21665 computations (27.3% saved)

prune157.0ms (1.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	529	22	551
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	531	22	553

Error

0.0b

Counts

553 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	3.6b	(/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	4.1b	(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))))
	25.6b	(/.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) 3)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	25.4b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	22.0b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha))))))
▶	1.3b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
▶	2.0b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	62.1b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	19.9b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	4.3b	(.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
	6.6b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (+.f64 1 beta))
▶	34.1b	(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	7.7b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	34.0b	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	62.5b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
▶	27.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	62.6b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	4.5b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	25.5b	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	21.8b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	34.8b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
	35.0b	(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (pow.f64 beta 3))

Compiler

Compiled 1096 to 782 computations (28.6% saved)

localize86.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
✓	0.2b	(*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))
✓	3.0b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
✓	12.7b	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))

Compiler

Compiled 112 to 76 computations (32.1% saved)

series81.0ms (0.6%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
10.0ms	beta	@	-inf	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
8.0ms	alpha	@	0	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
5.0ms	beta	@	-inf	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
5.0ms	alpha	@	inf	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
5.0ms	alpha	@	inf	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))

rewrite188.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	116
1	411	97
2	6609	97

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 beta) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 beta)) (.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 beta) -1) (/.f64 1 (.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (/.f64 (+.f64 1 beta) (cbrt.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (cbrt.f64 (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (+.f64 1 beta) (sqrt.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) 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simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-in_binary64`
613×	`distribute-lft-in_binary64`
576×	`fma-def_binary64`
381×	`associate-r_binary64`
356×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	509	7482
1	1955	7107

Stop Event

1×	node limit

Counts

221 → 265

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	-inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
1.0ms	beta	@	0	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
1.0ms	alpha	@	0	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms	beta	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms	alpha	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	10
2	2055	10

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify172.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	285
1	19	285
2	30	285
3	53	285
4	121	285
5	363	285
6	1349	285
7	2197	285
8	2361	285
9	2545	285
10	2753	285
11	3052	285
12	3443	285
13	3926	285
14	4492	285
15	5182	285
16	6015	285
17	6409	285
18	6697	285
19	6973	285
20	7047	285
21	7081	285

Stop Event

1×	node limit

Counts

56 → 40

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 alpha 1) (+.f64 beta 1))
✓	0.1b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 beta beta))
✓	9.1b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))

Compiler

Compiled 56 to 33 computations (41.1% saved)

series25.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	beta	@	0	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
1.0ms	alpha	@	0	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
1.0ms	alpha	@	inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
1.0ms	alpha	@	-inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
1.0ms	beta	@	-inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))

rewrite113.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (*.f64 beta beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 1 beta) (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (+.f64 1 beta) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

156 → 163

Calls

Call 1

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

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

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
✓	0.0b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
✓	2.0b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))

Compiler

Compiled 89 to 59 computations (33.7% saved)

series25.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	beta	@	inf	(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
2.0ms	alpha	@	0	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
1.0ms	beta	@	0	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
1.0ms	beta	@	-inf	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
1.0ms	alpha	@	-inf	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))

rewrite135.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 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simplify134.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	527	7826
1	2143	7301

Stop Event

1×	node limit

Counts

283 → 333

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 67 to 47 computations (29.9% saved)

series12.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite119.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`prod-diff_binary64`
652×	`fma-def_binary64`
338×	`fma-neg_binary64`
283×	`log1p-udef_binary64`
282×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	320	42
2	4901	42

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

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

Outputs

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

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

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

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

846×	`times-frac_binary64`
619×	`associate-l_binary64`
573×	`associate-/r*_binary64`
473×	`associate-/l*_binary64`
300×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2131
1	654	1998
2	2676	1835

Stop Event

1×	node limit

Counts

157 → 168

Calls

Call 1

Inputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 alpha 2)))
(+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 alpha 2)) (.f64 1/16 (pow.f64 alpha 3))))
(+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 alpha 2)) (+.f64 (.f64 -3/64 (pow.f64 alpha 4)) (*.f64 1/16 (pow.f64 alpha 3)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (.f64 20 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (.f64 20 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1/4 (+.f64 beta 3))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 3) 2))) (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 3) 2))) (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 beta 7) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 3) 2))) (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (+.f64 4 (.f64 4 (+.f64 beta 3)))) (+.f64 beta 3))))) (pow.f64 alpha 3))) (+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 (+.f64 (.f64 4 (+.f64 beta 3)) (.f64 -1 (*.f64 (+.f64 beta 7) (+.f64 beta 6))))) (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (+.f64 beta 6))) (+.f64 (.f64 4 (+.f64 beta 3)) (.f64 -1 (.f64 (+.f64 beta 7) (+.f64 4 (+.f64 (.f64 4 (+.f64 beta 3)) (.f64 -1 (.f64 (+.f64 beta 7) (+.f64 beta 6))))))))) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 (+.f64 (.f64 4 (+.f64 beta 3)) (.f64 -1 (*.f64 (+.f64 beta 7) (+.f64 beta 6))))) (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 7) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 7) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -4 (+.f64 beta 3)) 4)) (.f64 (+.f64 beta 7) (+.f64 (.f64 -1 (+.f64 beta 7)) 1))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -4 (+.f64 beta 3)) 4)) (.f64 (+.f64 beta 7) (+.f64 (.f64 -1 (+.f64 beta 7)) 1))) (+.f64 beta 7)) (pow.f64 alpha 5)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -4 (+.f64 beta 3)) 4) (+.f64 (.f64 -1 (+.f64 beta 7)) 1)) (pow.f64 alpha 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 7) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -4 (+.f64 beta 3)) 4)) (.f64 (+.f64 beta 7) (+.f64 (.f64 -1 (+.f64 beta 7)) 1))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -4 (/.f64 (+.f64 beta 3) (pow.f64 alpha 5))) (/.f64 1 (pow.f64 alpha 3))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 3 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 4))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 4)))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 3 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 2 alpha) 2)))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 2 alpha) 2)))))))
4
(+.f64 4 (*.f64 4 alpha))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))

Outputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 alpha 2)))
(+.f64 1/4 (.f64 -1/16 (.f64 alpha alpha)))
(fma.f64 -1/16 (*.f64 alpha alpha) 1/4)
(+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 alpha 2)) (.f64 1/16 (pow.f64 alpha 3))))
(+.f64 1/4 (fma.f64 -1/16 (.f64 alpha alpha) (.f64 1/16 (pow.f64 alpha 3))))
(+.f64 1/4 (.f64 (.f64 alpha alpha) (+.f64 -1/16 (*.f64 1/16 alpha))))
(+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 alpha 2)) (+.f64 (.f64 -3/64 (pow.f64 alpha 4)) (*.f64 1/16 (pow.f64 alpha 3)))))
(+.f64 1/4 (fma.f64 -1/16 (.f64 alpha alpha) (fma.f64 -3/64 (pow.f64 alpha 4) (.f64 1/16 (pow.f64 alpha 3)))))
(+.f64 1/4 (fma.f64 -1/16 (.f64 alpha alpha) (fma.f64 1/16 (pow.f64 alpha 3) (.f64 -3/64 (pow.f64 alpha 4)))))
(+.f64 (fma.f64 -1/16 (.f64 alpha alpha) 1/4) (fma.f64 1/16 (pow.f64 alpha 3) (.f64 -3/64 (pow.f64 alpha 4))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 3 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 -3 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 3 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 1 alpha) (/.f64 3 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3)))
(+.f64 (+.f64 (/.f64 1 alpha) (/.f64 -3 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (.f64 20 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 3 (*.f64 alpha alpha)) (/.f64 20 (pow.f64 alpha 4))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 3 (*.f64 alpha alpha)) (/.f64 20 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -20 (pow.f64 alpha 4)) (/.f64 3 (*.f64 alpha alpha)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 3 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 -3 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 3 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 1 alpha) (/.f64 3 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3)))
(+.f64 (+.f64 (/.f64 1 alpha) (/.f64 -3 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (.f64 20 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 3 (*.f64 alpha alpha)) (/.f64 20 (pow.f64 alpha 4))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 3 (*.f64 alpha alpha)) (/.f64 20 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -20 (pow.f64 alpha 4)) (/.f64 3 (*.f64 alpha alpha)))))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/4 (+.f64 3 beta))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 alpha (-.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (*.f64 beta 4) 12)) (pow.f64 (+.f64 3 beta) 2))))))
(fma.f64 alpha (+.f64 (/.f64 1/4 (+.f64 3 beta)) (/.f64 (.f64 -1/16 (+.f64 (.f64 4 beta) 16)) (pow.f64 (+.f64 3 beta) 2))) (/.f64 1/4 (+.f64 3 beta)))
(fma.f64 alpha (+.f64 (/.f64 1/4 (+.f64 3 beta)) (/.f64 -1/16 (/.f64 (pow.f64 (+.f64 3 beta) 2) (+.f64 (*.f64 4 beta) 16)))) (/.f64 1/4 (+.f64 3 beta)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 3) 2))) (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha)))
(fma.f64 -1 (.f64 (.f64 alpha alpha) (fma.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 3 beta) 2)) (.f64 1/4 (/.f64 (+.f64 4 (+.f64 (.f64 beta 4) 12)) (/.f64 (+.f64 3 beta) (-.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (.f64 beta 4) 12)) (pow.f64 (+.f64 3 beta) 2))))))))) (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 alpha (-.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (*.f64 beta 4) 12)) (pow.f64 (+.f64 3 beta) 2)))))))
(-.f64 (fma.f64 alpha (+.f64 (/.f64 1/4 (+.f64 3 beta)) (/.f64 (.f64 -1/16 (+.f64 (.f64 4 beta) 16)) (pow.f64 (+.f64 3 beta) 2))) (/.f64 1/4 (+.f64 3 beta))) (.f64 (.f64 alpha alpha) (fma.f64 1/4 (.f64 (/.f64 (+.f64 (.f64 4 beta) 16) (+.f64 3 beta)) (+.f64 (/.f64 1/4 (+.f64 3 beta)) (/.f64 (.f64 -1/16 (+.f64 (.f64 4 beta) 16)) (pow.f64 (+.f64 3 beta) 2)))) (/.f64 (+.f64 (*.f64 beta 1/16) 7/16) (pow.f64 (+.f64 3 beta) 2)))))
(-.f64 (fma.f64 alpha (+.f64 (/.f64 1/4 (+.f64 3 beta)) (/.f64 -1/16 (/.f64 (pow.f64 (+.f64 3 beta) 2) (+.f64 (.f64 4 beta) 16)))) (/.f64 1/4 (+.f64 3 beta))) (.f64 (.f64 alpha alpha) (fma.f64 1/4 (.f64 (/.f64 (+.f64 (.f64 4 beta) 16) (+.f64 3 beta)) (+.f64 (/.f64 1/4 (+.f64 3 beta)) (/.f64 -1/16 (/.f64 (pow.f64 (+.f64 3 beta) 2) (+.f64 (.f64 4 beta) 16))))) (*.f64 (/.f64 1/16 (pow.f64 (+.f64 3 beta) 2)) (+.f64 beta 7)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 3) 2))) (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 beta 7) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 3) 2))) (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (+.f64 4 (.f64 4 (+.f64 beta 3)))) (+.f64 beta 3))))) (pow.f64 alpha 3))) (+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha))))
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(fma.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 4))) (/.f64 1 (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 4))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (+.f64 (fma.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))) (/.f64 (.f64 beta beta) (/.f64 (+.f64 alpha 3) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2)))))))))
(+.f64 (+.f64 (fma.f64 (neg.f64 beta) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 2)) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))) (.f64 (/.f64 (.f64 beta beta) (+.f64 alpha 3)) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 2)) (pow.f64 (+.f64 alpha 2) 2))))) (fma.f64 (neg.f64 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 4))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 4)))) (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (-.f64 (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 3) 2)) (/.f64 1 (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2)))) (-.f64 (/.f64 (.f64 beta beta) (+.f64 alpha 3)) beta))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 3) 4)) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 4)))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 (+.f64 alpha 1) (*.f64 beta (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (.f64 (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (.f64 (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (fma.f64 -1 (.f64 (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2)))) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 3) 2) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 3) 2) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 3) 2) (pow.f64 beta 3)) (/.f64 (+.f64 alpha 3) (.f64 beta beta)))) (+.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (.f64 beta (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 4)) (/.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (fma.f64 -1 (.f64 (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 3) 2) (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 3) 2) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (.f64 (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2))))) (.f64 (/.f64 (+.f64 alpha 1) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 4))) (pow.f64 (+.f64 alpha 3) 3))))
(-.f64 (+.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 3) 2) (pow.f64 beta 3)) (/.f64 (+.f64 alpha 3) (.f64 beta beta)))) (+.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (.f64 beta (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 4)) (/.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 (+.f64 alpha 1) (*.f64 beta (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (.f64 (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (.f64 (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (fma.f64 -1 (.f64 (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2)))) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 3) 2) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 3) 2) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 3) 2) (pow.f64 beta 3)) (/.f64 (+.f64 alpha 3) (.f64 beta beta)))) (+.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (.f64 beta (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 alpha (.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 4)) (/.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (fma.f64 -1 (.f64 (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 3) 2) (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 3) 2) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (.f64 (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2))))) (.f64 (/.f64 (+.f64 alpha 1) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 4))) (pow.f64 (+.f64 alpha 3) 3))))
(-.f64 (+.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 3) 2) (pow.f64 beta 3)) (/.f64 (+.f64 alpha 3) (.f64 beta beta)))) (+.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (.f64 beta (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 4)) (/.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 (+.f64 alpha 2) 2))))
4
(+.f64 4 (*.f64 4 alpha))
(+.f64 4 (*.f64 alpha 4))
(fma.f64 alpha 4 4)
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(+.f64 4 (*.f64 alpha (+.f64 alpha 4)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(+.f64 4 (*.f64 alpha (+.f64 alpha 4)))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(+.f64 4 (*.f64 alpha (+.f64 alpha 4)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(+.f64 4 (*.f64 alpha (+.f64 alpha 4)))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(+.f64 4 (*.f64 alpha (+.f64 alpha 4)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(+.f64 4 (*.f64 alpha (+.f64 alpha 4)))

eval1.5s (10.4%)

Compiler: Compiled 48443 to 35899 computations (25.9% saved)

prune181.0ms (1.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1051	14	1065
Fresh	12	5	17
Picked	1	0	1
Done	3	1	4
Total	1067	20	1087

Error

Counts

1087 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	40.6b	(/.f64 (/.f64 alpha beta) beta)
	25.4b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
✓	27.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	4.4b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	27.2b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
	32.8b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 beta beta)))
▶	36.2b	(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
▶	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))
▶	36.3b	(/.f64 1/4 (+.f64 beta 3))
	32.8b	(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
	23.5b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
▶	32.2b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 beta beta))) (+.f64 1 beta))
	34.0b	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	25.6b	(/.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) 3)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	25.9b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	29.6b	(/.f64 1 (*.f64 beta beta))
	7.7b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	1.3b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (+.f64 (.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))
	21.8b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	34.1b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (.f64 alpha (+.f64 alpha 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))

Compiler

Compiled 711 to 514 computations (27.7% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 87 to 58 computations (33.3% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite117.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

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

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

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	464	6472
1	1819	5984

Stop Event

1×	node limit

Counts

268 → 307

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1/4 (+.f64 beta 3))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	0	(/.f64 1/4 (+.f64 beta 3))
0.0ms	beta	@	inf	(/.f64 1/4 (+.f64 beta 3))
0.0ms	beta	@	-inf	(/.f64 1/4 (+.f64 beta 3))

rewrite47.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`pow1_binary64`
654×	`add-log-exp_binary64`
654×	`log1p-expm1-u_binary64`
654×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	139	7
2	1721	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(/.f64 1/4 (+.f64 beta 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/4 (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 beta 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/4 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 beta 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 beta 3))) 2) (cbrt.f64 (/.f64 1/4 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/4 (+.f64 beta 3))) (sqrt.f64 (/.f64 1/4 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (+.f64 -3 (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 27 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (fma.f64 beta beta -9)) (+.f64 beta -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (+.f64 beta 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/4 (+.f64 beta 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 beta 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/4 (+.f64 beta 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta 3) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 (+.f64 beta 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/4 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/4 (+.f64 beta 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (+.f64 beta 3))))))))

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-def_binary64`
740×	`distribute-neg-frac_binary64`
730×	`associate-l_binary64`
501×	`associate-r_binary64`
417×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	183
1	102	181
2	248	178
3	657	171
4	1955	168
5	7397	168

Stop Event

1×	node limit

Counts

34 → 36

Calls

Call 1

Inputs
1/12
(+.f64 1/12 (*.f64 -1/36 beta))
(+.f64 1/12 (+.f64 (.f64 -1/36 beta) (.f64 1/108 (pow.f64 beta 2))))
(+.f64 1/12 (+.f64 (.f64 -1/36 beta) (+.f64 (.f64 1/108 (pow.f64 beta 2)) (*.f64 -1/324 (pow.f64 beta 3)))))
(/.f64 1/4 beta)
(-.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 27/4 (/.f64 1 (pow.f64 beta 4))) (.f64 3/4 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1/4 beta)
(-.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 27/4 (/.f64 1 (pow.f64 beta 4))) (.f64 3/4 (/.f64 1 (pow.f64 beta 2)))))

Outputs
1/12
(+.f64 1/12 (*.f64 -1/36 beta))
(fma.f64 -1/36 beta 1/12)
(+.f64 1/12 (+.f64 (.f64 -1/36 beta) (.f64 1/108 (pow.f64 beta 2))))
(+.f64 1/12 (fma.f64 -1/36 beta (.f64 1/108 (.f64 beta beta))))
(fma.f64 -1/36 beta (fma.f64 beta (*.f64 beta 1/108) 1/12))
(fma.f64 beta (fma.f64 beta 1/108 -1/36) 1/12)
(+.f64 1/12 (+.f64 (.f64 -1/36 beta) (+.f64 (.f64 1/108 (pow.f64 beta 2)) (*.f64 -1/324 (pow.f64 beta 3)))))
(+.f64 1/12 (fma.f64 -1/36 beta (fma.f64 1/108 (.f64 beta beta) (.f64 -1/324 (pow.f64 beta 3)))))
(+.f64 1/12 (fma.f64 -1/324 (pow.f64 beta 3) (.f64 beta (+.f64 -1/36 (.f64 beta 1/108)))))
(fma.f64 beta (fma.f64 beta 1/108 -1/36) (fma.f64 -1/324 (pow.f64 beta 3) 1/12))
(fma.f64 beta (fma.f64 beta (fma.f64 beta -1/324 1/108) -1/36) 1/12)
(/.f64 1/4 beta)
(-.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1/4 beta) (/.f64 3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (/.f64 -3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (/.f64 (/.f64 -3/4 beta) beta))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1/4 beta) (-.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 3/4 (*.f64 beta beta))))
(+.f64 (/.f64 1/4 beta) (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 -3/4 (*.f64 beta beta))))
(+.f64 (/.f64 1/4 beta) (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 (/.f64 -3/4 beta) beta)))
(+.f64 (+.f64 (/.f64 1/4 beta) (/.f64 9/4 (pow.f64 beta 3))) (/.f64 -3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (.f64 (/.f64 -1 (.f64 beta beta)) (+.f64 3/4 (/.f64 -9/4 beta))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 27/4 (/.f64 1 (pow.f64 beta 4))) (.f64 3/4 (/.f64 1 (pow.f64 beta 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1/4 beta) (/.f64 9/4 (pow.f64 beta 3))) (/.f64 27/4 (pow.f64 beta 4))) (/.f64 3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (-.f64 (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 -3/4 (*.f64 beta beta))) (/.f64 27/4 (pow.f64 beta 4))))
(+.f64 (/.f64 1/4 beta) (+.f64 (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 (/.f64 -3/4 beta) beta)) (/.f64 -27/4 (pow.f64 beta 4))))
(+.f64 (/.f64 1/4 beta) (+.f64 (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 -3/4 (*.f64 beta beta))) (/.f64 -27/4 (pow.f64 beta 4))))
(+.f64 (+.f64 (/.f64 1/4 beta) (/.f64 9/4 (pow.f64 beta 3))) (+.f64 (/.f64 -3/4 (*.f64 beta beta)) (/.f64 -27/4 (pow.f64 beta 4))))
(+.f64 (/.f64 1/4 beta) (+.f64 (/.f64 -27/4 (pow.f64 beta 4)) (.f64 (/.f64 -1 (.f64 beta beta)) (+.f64 3/4 (/.f64 -9/4 beta)))))
(/.f64 1/4 beta)
(-.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1/4 beta) (/.f64 3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (/.f64 -3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (/.f64 (/.f64 -3/4 beta) beta))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1/4 beta) (-.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 3/4 (*.f64 beta beta))))
(+.f64 (/.f64 1/4 beta) (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 -3/4 (*.f64 beta beta))))
(+.f64 (/.f64 1/4 beta) (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 (/.f64 -3/4 beta) beta)))
(+.f64 (+.f64 (/.f64 1/4 beta) (/.f64 9/4 (pow.f64 beta 3))) (/.f64 -3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (.f64 (/.f64 -1 (.f64 beta beta)) (+.f64 3/4 (/.f64 -9/4 beta))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 27/4 (/.f64 1 (pow.f64 beta 4))) (.f64 3/4 (/.f64 1 (pow.f64 beta 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1/4 beta) (/.f64 9/4 (pow.f64 beta 3))) (/.f64 27/4 (pow.f64 beta 4))) (/.f64 3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (-.f64 (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 -3/4 (*.f64 beta beta))) (/.f64 27/4 (pow.f64 beta 4))))
(+.f64 (/.f64 1/4 beta) (+.f64 (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 (/.f64 -3/4 beta) beta)) (/.f64 -27/4 (pow.f64 beta 4))))
(+.f64 (/.f64 1/4 beta) (+.f64 (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 -3/4 (*.f64 beta beta))) (/.f64 -27/4 (pow.f64 beta 4))))
(+.f64 (+.f64 (/.f64 1/4 beta) (/.f64 9/4 (pow.f64 beta 3))) (+.f64 (/.f64 -3/4 (*.f64 beta beta)) (/.f64 -27/4 (pow.f64 beta 4))))
(+.f64 (/.f64 1/4 beta) (+.f64 (/.f64 -27/4 (pow.f64 beta 4)) (.f64 (/.f64 -1 (.f64 beta beta)) (+.f64 3/4 (/.f64 -9/4 beta)))))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 40 to 27 computations (32.5% saved)

series10.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	alpha	@	inf	(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.0ms	alpha	@	0	(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.0ms	beta	@	0	(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.0ms	beta	@	inf	(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
0.0ms	alpha	@	-inf	(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`prod-diff_binary64`
461×	`log-prod_binary64`
450×	`fma-def_binary64`
294×	`pow2_binary64`
260×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	237	10
2	3251	10

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))) (cbrt.f64 (/.f64 1/16 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))) (cbrt.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 1) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1)) (+.f64 (+.f64 alpha beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/16 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) 4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))) 1))))))

simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

444×	`associate-/l/_binary64`
427×	`associate-/r/_binary64`
424×	`distribute-lft-in_binary64`
424×	`distribute-rgt-in_binary64`
342×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	664
1	229	654
2	712	639
3	3079	610
4	6347	546
5	7356	546
6	7610	546
7	7852	546

Stop Event

1×	node limit

Counts

53 → 57

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.1b

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

✓

0.6b

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

✓

6.0b

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

Compiler

Compiled 62 to 35 computations (43.5% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`fma-def_binary64`
360×	`fma-neg_binary64`
291×	`log-div_binary64`
269×	`log1p-udef_binary64`
268×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	307	57
2	4881	57

Stop Event

1×	node limit

Counts

3 → 212

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

863×	`distribute-rgt-in_binary64`
826×	`distribute-lft-in_binary64`
341×	`cancel-sign-sub-inv_binary64`
259×	`associate-+r+_binary64`
233×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	3627
1	894	3556
2	3550	3358

Stop Event

1×	node limit

Counts

284 → 302

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 4 (*.f64 alpha (+.f64 alpha 4)))
✓	0.0b	(*.f64 alpha (+.f64 alpha 4))
✓	0.0b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (.f64 alpha (+.f64 alpha 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
✓	1.7b	(/.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha 4))))

Compiler

Compiled 79 to 54 computations (31.6% saved)

series8.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (.f64 alpha (+.f64 alpha 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
1.0ms	beta	@	inf	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (.f64 alpha (+.f64 alpha 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (.f64 alpha (+.f64 alpha 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (.f64 alpha (+.f64 alpha 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
0.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (.f64 alpha (+.f64 alpha 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`prod-diff_binary64`
329×	`log1p-udef_binary64`
191×	`add-sqr-sqrt_binary64`
187×	`*-un-lft-identity_binary64`
187×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	369	52
2	5737	52

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 alpha) (/.f64 1 (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 alpha)) (.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (neg.f64 (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 alpha) (+.f64 64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3))) (+.f64 16 (.f64 (.f64 alpha (+.f64 alpha 4)) (-.f64 (.f64 alpha (+.f64 alpha 4)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 alpha) (-.f64 16 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2))) (-.f64 4 (.f64 alpha (+.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 alpha (+.f64 alpha 4) 4) (+.f64 1 alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 alpha) (neg.f64 (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (fma.f64 alpha (+.f64 alpha 4) 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha (+.f64 alpha 4) 4))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 alpha (+.f64 beta 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 alpha) (/.f64 1 (.f64 (fma.f64 alpha (+.f64 alpha 4) 4) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 alpha) (.f64 (/.f64 1 (fma.f64 alpha (+.f64 alpha 4) 4)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 alpha (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 alpha (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 alpha (+.f64 beta 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))) (.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (neg.f64 alpha) -1) (fma.f64 alpha (+.f64 alpha 4) 4)) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (fma.f64 alpha (+.f64 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3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 alpha (+.f64 beta 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 alpha (+.f64 beta 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (fma.f64 alpha (+.f64 alpha 4) 4) (+.f64 1 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 alpha (+.f64 beta 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha 4) 4)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(-.f64 (log1p.f64 alpha) (log.f64 (.f64 (fma.f64 alpha (+.f64 alpha 4) 4) (+.f64 alpha (+.f64 beta 3))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 alpha alpha) (.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 alpha 4) (.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 alpha alpha) 1) (.f64 (.f64 alpha 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 alpha (+.f64 alpha 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) (pow.f64 (.f64 alpha 4) 3)) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (-.f64 (.f64 (.f64 alpha 4) (.f64 alpha 4)) (.f64 (.f64 alpha alpha) (.f64 alpha 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (.f64 alpha 4) (.f64 alpha 4))) (-.f64 (.f64 alpha alpha) (.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 64 (pow.f64 alpha 3)) alpha) (fma.f64 alpha alpha (-.f64 16 (.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 alpha alpha -16) alpha) (+.f64 alpha -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 alpha (+.f64 64 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 16 (.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 alpha (fma.f64 alpha alpha -16)) (+.f64 alpha -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 alpha (+.f64 alpha 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 alpha (+.f64 alpha 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 alpha (+.f64 alpha 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 alpha) (+.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 alpha (+.f64 alpha 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 alpha (+.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 alpha (+.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 alpha (+.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 alpha 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha alpha (*.f64 alpha 4))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 alpha (+.f64 alpha 4) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16 (-.f64 4 (.f64 alpha (+.f64 alpha 4)))) (/.f64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2) (-.f64 4 (.f64 alpha (+.f64 alpha 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 alpha (+.f64 alpha 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 alpha (+.f64 alpha 4) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) (pow.f64 (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) 2) (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) (sqrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3)) (/.f64 1 (+.f64 16 (.f64 (.f64 alpha (+.f64 alpha 4)) (-.f64 (.f64 alpha (+.f64 alpha 4)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 16 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2)) (/.f64 1 (-.f64 4 (.f64 alpha (+.f64 alpha 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 16 (.f64 (.f64 alpha (+.f64 alpha 4)) (-.f64 (.f64 alpha (+.f64 alpha 4)) 4))) (+.f64 64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 4 (.f64 alpha (+.f64 alpha 4))) (-.f64 16 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3)) (+.f64 16 (.f64 (.f64 alpha (+.f64 alpha 4)) (-.f64 (.f64 alpha (+.f64 alpha 4)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3)) (+.f64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2) (-.f64 16 (.f64 4 (.f64 alpha (+.f64 alpha 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2)) (-.f64 4 (.f64 alpha (+.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3))) (neg.f64 (+.f64 16 (.f64 (.f64 alpha (+.f64 alpha 4)) (-.f64 (.f64 alpha (+.f64 alpha 4)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2))) (neg.f64 (-.f64 4 (.f64 alpha (+.f64 alpha 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2) 16) (-.f64 (.f64 alpha (+.f64 alpha 4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 alpha (+.f64 alpha 4) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 alpha (+.f64 alpha 4) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 alpha (+.f64 alpha 4) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 alpha (+.f64 alpha 4) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 alpha (+.f64 alpha 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (+.f64 alpha 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 4) alpha 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 alpha (+.f64 alpha 4))) 2) (cbrt.f64 (.f64 alpha (+.f64 alpha 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 alpha (+.f64 alpha 4))) (sqrt.f64 (.f64 alpha (+.f64 alpha 4))) 4)))))

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

625×	`associate-l_binary64`
595×	`associate-r_binary64`
545×	`times-frac_binary64`
421×	`associate-/r*_binary64`
401×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2368
1	684	2106
2	2761	2053

Stop Event

1×	node limit

Counts

194 → 194

Calls

Call 1

Inputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 alpha 2)))
(+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 alpha 2)) (.f64 1/16 (pow.f64 alpha 3))))
(+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 alpha 2)) (+.f64 (.f64 -3/64 (pow.f64 alpha 4)) (*.f64 1/16 (pow.f64 alpha 3)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (.f64 20 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (.f64 20 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1/4 (+.f64 beta 3))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 3) 2))) (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 3) 2))) (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 beta 7) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 3) 2))) (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (+.f64 4 (.f64 4 (+.f64 beta 3)))) (+.f64 beta 3))))) (pow.f64 alpha 3))) (+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 (+.f64 (.f64 4 (+.f64 beta 3)) (.f64 -1 (*.f64 (+.f64 beta 7) (+.f64 beta 6))))) (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (+.f64 beta 6))) (+.f64 (.f64 4 (+.f64 beta 3)) (.f64 -1 (.f64 (+.f64 beta 7) (+.f64 4 (+.f64 (.f64 4 (+.f64 beta 3)) (.f64 -1 (.f64 (+.f64 beta 7) (+.f64 beta 6))))))))) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 (+.f64 (.f64 4 (+.f64 beta 3)) (.f64 -1 (*.f64 (+.f64 beta 7) (+.f64 beta 6))))) (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 7) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 7) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -4 (+.f64 beta 3)) 4)) (.f64 (+.f64 beta 7) (+.f64 (.f64 -1 (+.f64 beta 7)) 1))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -4 (+.f64 beta 3)) 4)) (.f64 (+.f64 beta 7) (+.f64 (.f64 -1 (+.f64 beta 7)) 1))) (+.f64 beta 7)) (pow.f64 alpha 5)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -4 (+.f64 beta 3)) 4) (+.f64 (.f64 -1 (+.f64 beta 7)) 1)) (pow.f64 alpha 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 7) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -4 (+.f64 beta 3)) 4)) (.f64 (+.f64 beta 7) (+.f64 (.f64 -1 (+.f64 beta 7)) 1))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -4 (/.f64 (+.f64 beta 3) (pow.f64 alpha 5))) (/.f64 1 (pow.f64 alpha 3))))))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))
(+.f64 (/.f64 alpha (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 alpha (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (pow.f64 (+.f64 3 alpha) 2)))))) (/.f64 1 (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (+.f64 3 alpha)))))
(+.f64 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 alpha (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 3 alpha)) (+.f64 (/.f64 alpha (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 alpha (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (pow.f64 (+.f64 3 alpha) 2)))))) (/.f64 1 (.f64 (+.f64 4 (*.f64 (+.f64 4 alpha) alpha)) (+.f64 3 alpha))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (pow.f64 (+.f64 3 alpha) 4))) (/.f64 alpha (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (pow.f64 (+.f64 3 alpha) 4)))))) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 alpha (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 3 alpha)) (+.f64 (/.f64 alpha (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 alpha (.f64 (+.f64 4 (.f64 (+.f64 4 alpha) alpha)) (pow.f64 (+.f64 3 alpha) 2)))))) (/.f64 1 (.f64 (+.f64 4 (*.f64 (+.f64 4 alpha) alpha)) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))) (/.f64 alpha (.f64 beta (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (.f64 (pow.f64 beta 3) (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))) (+.f64 (/.f64 1 (.f64 beta (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))) (/.f64 alpha (.f64 beta (+.f64 4 (*.f64 (+.f64 4 alpha) alpha)))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (.f64 (pow.f64 beta 3) (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (.f64 (pow.f64 beta 4) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))) (/.f64 alpha (.f64 beta (+.f64 4 (*.f64 (+.f64 4 alpha) alpha))))))))
(/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))) (/.f64 alpha (.f64 beta (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (.f64 (pow.f64 beta 3) (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))) (+.f64 (/.f64 1 (.f64 beta (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))) (/.f64 alpha (.f64 beta (+.f64 4 (*.f64 (+.f64 4 alpha) alpha)))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (.f64 (pow.f64 beta 3) (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (.f64 (pow.f64 beta 4) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))) (/.f64 alpha (.f64 beta (+.f64 4 (*.f64 (+.f64 4 alpha) alpha))))))))
(*.f64 4 alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
4
(+.f64 4 (*.f64 4 alpha))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))

Outputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 alpha 2)))
(+.f64 1/4 (.f64 -1/16 (.f64 alpha alpha)))
(fma.f64 -1/16 (*.f64 alpha alpha) 1/4)
(+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 alpha 2)) (.f64 1/16 (pow.f64 alpha 3))))
(+.f64 1/4 (fma.f64 -1/16 (.f64 alpha alpha) (.f64 1/16 (pow.f64 alpha 3))))
(+.f64 1/4 (.f64 (.f64 alpha alpha) (+.f64 -1/16 (*.f64 1/16 alpha))))
(+.f64 1/4 (+.f64 (.f64 -1/16 (pow.f64 alpha 2)) (+.f64 (.f64 -3/64 (pow.f64 alpha 4)) (*.f64 1/16 (pow.f64 alpha 3)))))
(+.f64 1/4 (fma.f64 -1/16 (.f64 alpha alpha) (fma.f64 -3/64 (pow.f64 alpha 4) (.f64 1/16 (pow.f64 alpha 3)))))
(+.f64 1/4 (fma.f64 -1/16 (.f64 alpha alpha) (fma.f64 1/16 (pow.f64 alpha 3) (.f64 -3/64 (pow.f64 alpha 4)))))
(+.f64 (fma.f64 -1/16 (.f64 alpha alpha) 1/4) (fma.f64 1/16 (pow.f64 alpha 3) (.f64 -3/64 (pow.f64 alpha 4))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 3 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 -3 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 3 (*.f64 alpha alpha))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 3 (*.f64 alpha alpha))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -3 (*.f64 alpha alpha))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (.f64 20 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 3 (*.f64 alpha alpha)) (/.f64 20 (pow.f64 alpha 4))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 3 (*.f64 alpha alpha)) (/.f64 20 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 1 alpha) (/.f64 -3 (*.f64 alpha alpha))) (/.f64 -20 (pow.f64 alpha 4))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 3 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 -3 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (.f64 3 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 3 (*.f64 alpha alpha))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 3 (*.f64 alpha alpha))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -3 (*.f64 alpha alpha))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (.f64 20 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 3 (*.f64 alpha alpha)) (/.f64 20 (pow.f64 alpha 4))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 3 (*.f64 alpha alpha)) (/.f64 20 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 1 alpha) (/.f64 -3 (*.f64 alpha alpha))) (/.f64 -20 (pow.f64 alpha 4))))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/4 (+.f64 3 beta))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 alpha (-.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (*.f64 beta 4) 12)) (pow.f64 (+.f64 3 beta) 2))))))
(fma.f64 alpha (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 -1/16 (/.f64 (+.f64 (.f64 4 beta) 16) (pow.f64 (+.f64 3 beta) 2)))) (/.f64 1/4 (+.f64 3 beta)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 3) 2))) (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha)))
(fma.f64 -1 (.f64 (.f64 alpha alpha) (fma.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 3 beta) 2)) (.f64 1/4 (/.f64 (+.f64 4 (+.f64 (.f64 beta 4) 12)) (/.f64 (+.f64 3 beta) (-.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (.f64 beta 4) 12)) (pow.f64 (+.f64 3 beta) 2))))))))) (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 alpha (-.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (*.f64 beta 4) 12)) (pow.f64 (+.f64 3 beta) 2)))))))
(-.f64 (fma.f64 alpha (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 -1/16 (/.f64 (+.f64 (.f64 4 beta) 16) (pow.f64 (+.f64 3 beta) 2)))) (/.f64 1/4 (+.f64 3 beta))) (.f64 (.f64 alpha alpha) (fma.f64 1/4 (.f64 (/.f64 (+.f64 (.f64 4 beta) 16) (+.f64 3 beta)) (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 -1/16 (/.f64 (+.f64 (.f64 4 beta) 16) (pow.f64 (+.f64 3 beta) 2))))) (/.f64 1/16 (/.f64 (pow.f64 (+.f64 3 beta) 2) (+.f64 beta 7))))))
(-.f64 (fma.f64 alpha (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 -1/16 (/.f64 (+.f64 (.f64 4 beta) 16) (pow.f64 (+.f64 3 beta) 2)))) (/.f64 1/4 (+.f64 3 beta))) (.f64 (.f64 alpha alpha) (fma.f64 1/4 (.f64 (/.f64 (+.f64 (.f64 4 beta) 16) (+.f64 3 beta)) (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 -1/16 (/.f64 (+.f64 (.f64 4 beta) 16) (pow.f64 (+.f64 3 beta) 2))))) (*.f64 (/.f64 1/16 (pow.f64 (+.f64 3 beta) 2)) (+.f64 beta 7)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 3) 2))) (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 beta 7) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 3) 2))) (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (+.f64 4 (.f64 4 (+.f64 beta 3)))) (+.f64 beta 3))))) (pow.f64 alpha 3))) (+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha))))
(fma.f64 -1 (.f64 (.f64 alpha alpha) (fma.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 3 beta) 2)) (.f64 1/4 (/.f64 (+.f64 4 (+.f64 (.f64 beta 4) 12)) (/.f64 (+.f64 3 beta) (-.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (.f64 beta 4) 12)) (pow.f64 (+.f64 3 beta) 2))))))))) (fma.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1/16 (pow.f64 (+.f64 3 beta) 2)) (fma.f64 1/4 (/.f64 (+.f64 beta 7) (/.f64 (+.f64 3 beta) (-.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (.f64 beta 4) 12)) (pow.f64 (+.f64 3 beta) 2)))))) (.f64 -1/4 (/.f64 (fma.f64 1/16 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 3 beta) 2)) (.f64 1/4 (/.f64 (+.f64 4 (+.f64 (.f64 beta 4) 12)) (/.f64 (+.f64 3 beta) (-.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (.f64 beta 4) 12)) (pow.f64 (+.f64 3 beta) 2)))))))) (/.f64 (+.f64 3 beta) (+.f64 4 (+.f64 (.f64 beta 4) 12)))))))) (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 alpha (-.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (.f64 beta 4) 12)) (pow.f64 (+.f64 3 beta) 2))))))))
(-.f64 (-.f64 (fma.f64 alpha (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 -1/16 (/.f64 (+.f64 (.f64 4 beta) 16) (pow.f64 (+.f64 3 beta) 2)))) (/.f64 1/4 (+.f64 3 beta))) (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1/16 (pow.f64 (+.f64 3 beta) 2)) (fma.f64 1/4 (.f64 (/.f64 (+.f64 beta 7) (+.f64 3 beta)) (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 -1/16 (/.f64 (+.f64 (.f64 4 beta) 16) (pow.f64 (+.f64 3 beta) 2))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 4 beta) 16) (/.f64 (+.f64 3 beta) (fma.f64 1/4 (.f64 (/.f64 (+.f64 (.f64 4 beta) 16) (+.f64 3 beta)) (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 -1/16 (/.f64 (+.f64 (.f64 4 beta) 16) (pow.f64 (+.f64 3 beta) 2))))) (/.f64 1/16 (/.f64 (pow.f64 (+.f64 3 beta) 2) (+.f64 beta 7))))))))))) (.f64 (.f64 alpha alpha) (fma.f64 1/4 (.f64 (/.f64 (+.f64 (.f64 4 beta) 16) (+.f64 3 beta)) (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 -1/16 (/.f64 (+.f64 (.f64 4 beta) 16) (pow.f64 (+.f64 3 beta) 2))))) (/.f64 1/16 (/.f64 (pow.f64 (+.f64 3 beta) 2) (+.f64 beta 7))))))
(-.f64 (fma.f64 alpha (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 -1/16 (/.f64 (+.f64 (.f64 4 beta) 16) (pow.f64 (+.f64 3 beta) 2)))) (/.f64 1/4 (+.f64 3 beta))) (.f64 (.f64 alpha alpha) (+.f64 (fma.f64 1/4 (.f64 (/.f64 (+.f64 (.f64 4 beta) 16) (+.f64 3 beta)) (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 -1/16 (/.f64 (+.f64 (.f64 4 beta) 16) (pow.f64 (+.f64 3 beta) 2))))) (.f64 (/.f64 1/16 (pow.f64 (+.f64 3 beta) 2)) (+.f64 beta 7))) (.f64 (+.f64 (/.f64 1/16 (pow.f64 (+.f64 3 beta) 2)) (fma.f64 -1/4 (.f64 (/.f64 (+.f64 (.f64 4 beta) 16) (+.f64 3 beta)) (fma.f64 1/4 (.f64 (/.f64 (+.f64 (.f64 4 beta) 16) (+.f64 3 beta)) (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 -1/16 (/.f64 (+.f64 (.f64 4 beta) 16) (pow.f64 (+.f64 3 beta) 2))))) (.f64 (/.f64 1/16 (pow.f64 (+.f64 3 beta) 2)) (+.f64 beta 7)))) (.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 (+.f64 (/.f64 1/4 (+.f64 3 beta)) (.f64 -1/16 (/.f64 (+.f64 (*.f64 4 beta) 16) (pow.f64 (+.f64 3 beta) 2)))) (+.f64 beta 7))))) alpha))))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 (/.f64 1 alpha) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 1 alpha) alpha) (/.f64 (+.f64 beta 6) (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (-.f64 -6 beta) (pow.f64 alpha 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 (+.f64 (.f64 4 (+.f64 beta 3)) (.f64 -1 (*.f64 (+.f64 beta 7) (+.f64 beta 6))))) (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (+.f64 4 (fma.f64 4 (+.f64 3 beta) (.f64 (neg.f64 (+.f64 beta 7)) (+.f64 beta 6)))) (pow.f64 alpha 4)) (/.f64 1 (.f64 alpha alpha))))
(-.f64 (-.f64 (/.f64 (/.f64 1 alpha) alpha) (/.f64 (+.f64 4 (fma.f64 (fma.f64 beta -1 -7) (+.f64 beta 6) (fma.f64 4 beta 12))) (pow.f64 alpha 4))) (/.f64 (+.f64 beta 6) (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (-.f64 (/.f64 (-.f64 -6 beta) (pow.f64 alpha 3)) (/.f64 (fma.f64 (+.f64 beta 7) (-.f64 -6 beta) (+.f64 (.f64 4 beta) 16)) (pow.f64 alpha 4))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 4 (+.f64 beta 3))) (+.f64 beta 6))) (+.f64 (.f64 4 (+.f64 beta 3)) (.f64 -1 (.f64 (+.f64 beta 7) (+.f64 4 (+.f64 (.f64 4 (+.f64 beta 3)) (.f64 -1 (.f64 (+.f64 beta 7) (+.f64 beta 6))))))))) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 (+.f64 (.f64 4 (+.f64 beta 3)) (.f64 -1 (*.f64 (+.f64 beta 7) (+.f64 beta 6))))) (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2)))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (+.f64 4 (+.f64 (.f64 beta 4) 12)) (+.f64 beta 6)) (fma.f64 4 (+.f64 3 beta) (.f64 (neg.f64 (+.f64 beta 7)) (+.f64 4 (fma.f64 4 (+.f64 3 beta) (.f64 (neg.f64 (+.f64 beta 7)) (+.f64 beta 6))))))) (pow.f64 alpha 5)) (fma.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (+.f64 4 (fma.f64 4 (+.f64 3 beta) (.f64 (neg.f64 (+.f64 beta 7)) (+.f64 beta 6)))) (pow.f64 alpha 4)) (/.f64 1 (.f64 alpha alpha)))))
(-.f64 (-.f64 (-.f64 (/.f64 (/.f64 1 alpha) alpha) (/.f64 (+.f64 4 (fma.f64 (fma.f64 beta -1 -7) (+.f64 beta 6) (fma.f64 4 beta 12))) (pow.f64 alpha 4))) (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (/.f64 (-.f64 (fma.f64 (fma.f64 beta -1 -7) (+.f64 4 (fma.f64 (fma.f64 beta -1 -7) (+.f64 beta 6) (fma.f64 4 beta 12))) (fma.f64 4 beta 12)) (.f64 (+.f64 (.f64 4 beta) 16) (+.f64 beta 6))) (pow.f64 alpha 5)))
(-.f64 (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 (fma.f64 (+.f64 beta 7) (-.f64 -6 beta) (+.f64 (.f64 4 beta) 16)) (pow.f64 alpha 4))) (+.f64 (/.f64 (fma.f64 (+.f64 (.f64 beta -4) -16) (+.f64 beta 6) (fma.f64 (-.f64 -7 beta) (fma.f64 (+.f64 beta 7) (-.f64 -6 beta) (+.f64 (.f64 4 beta) 16)) (fma.f64 4 beta 12))) (pow.f64 alpha 5)) (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 (/.f64 1 alpha) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 7) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))
(fma.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 1 alpha) alpha) (/.f64 (+.f64 beta 6) (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (-.f64 -6 beta) (pow.f64 alpha 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 7) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -4 (+.f64 beta 3)) 4)) (.f64 (+.f64 beta 7) (+.f64 (.f64 -1 (+.f64 beta 7)) 1))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (+.f64 4 (fma.f64 4 (+.f64 3 beta) (.f64 (neg.f64 (+.f64 beta 7)) (+.f64 beta 6)))) (pow.f64 alpha 4)) (/.f64 1 (.f64 alpha alpha))))
(-.f64 (-.f64 (/.f64 (/.f64 1 alpha) alpha) (/.f64 (+.f64 4 (fma.f64 (fma.f64 beta -1 -7) (+.f64 beta 6) (fma.f64 4 beta 12))) (pow.f64 alpha 4))) (/.f64 (+.f64 beta 6) (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (-.f64 (/.f64 (-.f64 -6 beta) (pow.f64 alpha 3)) (/.f64 (fma.f64 (+.f64 beta 7) (-.f64 -6 beta) (+.f64 (.f64 4 beta) 16)) (pow.f64 alpha 4))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -4 (+.f64 beta 3)) 4)) (.f64 (+.f64 beta 7) (+.f64 (.f64 -1 (+.f64 beta 7)) 1))) (+.f64 beta 7)) (pow.f64 alpha 5)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -4 (+.f64 beta 3)) 4) (+.f64 (.f64 -1 (+.f64 beta 7)) 1)) (pow.f64 alpha 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 7) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -4 (+.f64 beta 3)) 4)) (.f64 (+.f64 beta 7) (+.f64 (.f64 -1 (+.f64 beta 7)) 1))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -4 (/.f64 (+.f64 beta 3) (pow.f64 alpha 5))) (/.f64 1 (pow.f64 alpha 3))))))))
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(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (.f64 (pow.f64 beta 3) (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (.f64 (pow.f64 beta 4) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))) (/.f64 alpha (.f64 beta (+.f64 4 (*.f64 (+.f64 4 alpha) alpha))))))))
(fma.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (.f64 (+.f64 4 (.f64 alpha (+.f64 alpha 4))) (.f64 beta beta))) (+.f64 (/.f64 (.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha 3) 2)) (.f64 (+.f64 4 (.f64 alpha (+.f64 alpha 4))) (pow.f64 beta 3))) (fma.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha 3) 3)) (.f64 (+.f64 4 (.f64 alpha (+.f64 alpha 4))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (.f64 beta (+.f64 4 (.f64 alpha (+.f64 alpha 4))))) (/.f64 alpha (.f64 beta (+.f64 4 (.f64 alpha (+.f64 alpha 4)))))))))
(-.f64 (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 3) 2) (fma.f64 alpha (+.f64 alpha 4) 4)) (-.f64 (+.f64 (/.f64 1 (.f64 beta (fma.f64 alpha (+.f64 alpha 4) 4))) (/.f64 alpha (.f64 beta (fma.f64 alpha (+.f64 alpha 4) 4)))) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 4)) (/.f64 (pow.f64 (+.f64 alpha 3) 3) (fma.f64 alpha (+.f64 alpha 4) 4))))) (.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) (/.f64 (+.f64 alpha 3) (fma.f64 alpha (+.f64 alpha 4) 4))))
(+.f64 (.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 4) 4)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 3) 2) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 4)))) (+.f64 (/.f64 (/.f64 1 beta) (fma.f64 alpha (+.f64 alpha 4) 4)) (-.f64 (/.f64 (/.f64 alpha beta) (fma.f64 alpha (+.f64 alpha 4) 4)) (.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) (/.f64 (+.f64 alpha 3) (fma.f64 alpha (+.f64 alpha 4) 4))))))
(*.f64 4 alpha)
(*.f64 alpha 4)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
4
(+.f64 4 (*.f64 4 alpha))
(+.f64 4 (*.f64 alpha 4))
(fma.f64 alpha 4 4)
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(fma.f64 alpha (+.f64 alpha 4) 4)
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(fma.f64 alpha (+.f64 alpha 4) 4)
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(fma.f64 alpha (+.f64 alpha 4) 4)
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(fma.f64 alpha (+.f64 alpha 4) 4)
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(fma.f64 alpha (+.f64 alpha 4) 4)
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(fma.f64 alpha (+.f64 alpha 4) 4)

eval785.0ms (5.5%)

Compiler: Compiled 32956 to 23505 computations (28.7% saved)

prune149.0ms (1%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	883	13	896
Fresh	5	9	14
Picked	1	0	1
Done	3	2	5
Total	892	24	916

Error

Counts

916 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	40.6b	(/.f64 (/.f64 alpha beta) beta)
	22.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 4 (.f64 2 alpha)))) (.f64 beta (-.f64 (+.f64 5 (.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
	25.4b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
✓	27.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	4.4b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
▶	25.9b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
▶	60.0b	(/.f64 1/4 beta)
	7.7b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	53.9b	(/.f64 (-.f64 1 (.f64 beta beta)) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha 1) (*.f64 beta beta))) (-.f64 1 beta)))
	21.0b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
	32.2b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 beta (*.f64 beta (+.f64 beta 2)))) (+.f64 1 beta))
	24.5b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 1 (/.f64 (neg.f64 (+.f64 1 alpha)) beta)) (+.f64 alpha (+.f64 3 beta))))
	25.4b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta)
▶	34.0b	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	32.8b	(.f64 (/.f64 (/.f64 1 (.f64 beta beta)) (+.f64 beta 2)) (+.f64 1 beta))
▶	36.4b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))
	27.2b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
	29.6b	(/.f64 1 (*.f64 beta beta))
✓	36.3b	(/.f64 1/4 (+.f64 beta 3))
	37.7b	(/.f64 1/4 (+.f64 3 alpha))
	38.5b	(+.f64 1/12 (*.f64 -1/36 beta))
	38.0b	1/12
	32.8b	(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
▶	0.1b	(pow.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) -1)

Compiler

Compiled 751 to 545 computations (27.4% saved)

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 115 to 78 computations (32.2% saved)

series32.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite124.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

389×	`log1p-udef_binary64`
388×	`expm1-udef_binary64`
228×	`add-sqr-sqrt_binary64`
222×	`pow1_binary64`
221×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	112
1	440	100
2	7028	100

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

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

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

simplify125.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

529×	`fma-def_binary64`
468×	`distribute-rgt-in_binary64`
459×	`distribute-lft-in_binary64`
346×	`associate-r_binary64`
298×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	550	9769
1	2123	9305

Stop Event

1×	node limit

Counts

262 → 308

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 16 computations (36% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

935×	`pow1_binary64`
871×	`add-log-exp_binary64`
871×	`log1p-expm1-u_binary64`
871×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2474	10

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify161.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	285
1	19	285
2	30	285
3	53	285
4	121	285
5	363	285
6	1349	285
7	2197	285
8	2361	285
9	2545	285
10	2753	285
11	3052	285
12	3443	285
13	3926	285
14	4492	285
15	5182	285
16	6015	285
17	6409	285
18	6697	285
19	6973	285
20	7047	285
21	7081	285

Stop Event

1×	node limit

Counts

67 → 50

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 4 (*.f64 (+.f64 4 alpha) alpha))
✓	0.0b	(*.f64 (+.f64 4 alpha) alpha)
✓	0.0b	(.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))
✓	0.8b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))

Compiler

Compiled 53 to 38 computations (28.3% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))
0.0ms	alpha	@	inf	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))
0.0ms	alpha	@	-inf	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))
0.0ms	alpha	@	inf	(.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))
0.0ms	alpha	@	0	(.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log-prod_binary64`
502×	`prod-diff_binary64`
443×	`fma-def_binary64`
253×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	285	49
2	4269	49

Stop Event

1×	node limit

Counts

4 → 204

Calls

Call 1

Inputs
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))
(.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha)))
(*.f64 (+.f64 4 alpha) alpha)
(+.f64 4 (*.f64 (+.f64 4 alpha) alpha))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (fma.f64 alpha (+.f64 alpha 4) 4))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (fma.f64 alpha (+.f64 alpha 4) 4))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (fma.f64 alpha (+.f64 alpha 4) 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (fma.f64 alpha (+.f64 alpha 4) 4)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (fma.f64 alpha (+.f64 alpha 4) 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (fma.f64 alpha (+.f64 alpha 4) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 alpha (+.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 alpha alpha) (.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 alpha 4) (.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 alpha) (+.f64 alpha 4))) (cbrt.f64 (pow.f64 (exp.f64 alpha) (+.f64 alpha 4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 alpha) (+.f64 alpha 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 alpha) (+.f64 alpha 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 alpha) (+.f64 alpha 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 alpha (+.f64 alpha 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 64 (pow.f64 alpha 3)) alpha) (fma.f64 alpha (-.f64 alpha 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 16 (.f64 alpha alpha)) alpha) (-.f64 4 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 alpha (+.f64 64 (pow.f64 alpha 3))) (fma.f64 alpha (-.f64 alpha 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 alpha (-.f64 16 (.f64 alpha alpha))) (-.f64 4 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 alpha (+.f64 alpha 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 alpha (+.f64 alpha 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 alpha (+.f64 alpha 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 alpha) (+.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 alpha (+.f64 alpha 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 alpha alpha)) (exp.f64 (.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 alpha 4)) (exp.f64 (.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 alpha (+.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 alpha (+.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 alpha (+.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 alpha 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 alpha alpha) (.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 alpha 4) (.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha alpha (.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha 4 (.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 alpha (.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (.f64 (cbrt.f64 alpha) alpha) (.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (.f64 (sqrt.f64 alpha) alpha) (.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 alpha (sqrt.f64 alpha)) (sqrt.f64 alpha) (.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 alpha) 2)) (pow.f64 (cbrt.f64 alpha) 2) (.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 alpha 4)) (cbrt.f64 (.f64 alpha 4))) (cbrt.f64 (.f64 alpha 4)) (.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 alpha 4)) (sqrt.f64 (.f64 alpha 4)) (.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha) (.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha) (.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (sqrt.f64 alpha)) (sqrt.f64 alpha) (.f64 alpha alpha))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 alpha (+.f64 alpha 4) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16 (-.f64 4 (.f64 alpha (+.f64 alpha 4)))) (/.f64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2) (-.f64 4 (.f64 alpha (+.f64 alpha 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 alpha (+.f64 alpha 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 alpha (+.f64 alpha 4) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) (pow.f64 (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) 2) (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) (sqrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3)) (/.f64 1 (fma.f64 (.f64 alpha (+.f64 alpha 4)) (fma.f64 alpha (+.f64 alpha 4) -4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 16 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2)) (/.f64 1 (-.f64 4 (.f64 alpha (+.f64 alpha 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 alpha (+.f64 alpha 4)) (fma.f64 alpha (+.f64 alpha 4) -4) 16) (+.f64 64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 4 (.f64 alpha (+.f64 alpha 4))) (-.f64 16 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3)) (fma.f64 (.f64 alpha (+.f64 alpha 4)) (fma.f64 alpha (+.f64 alpha 4) -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3)) (+.f64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2) (-.f64 16 (.f64 4 (.f64 alpha (+.f64 alpha 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2)) (-.f64 4 (.f64 alpha (+.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 3))) (neg.f64 (fma.f64 (.f64 alpha (+.f64 alpha 4)) (fma.f64 alpha (+.f64 alpha 4) -4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2))) (neg.f64 (-.f64 4 (.f64 alpha (+.f64 alpha 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 alpha (+.f64 alpha 4)) 2) 16) (fma.f64 alpha (+.f64 alpha 4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 alpha (+.f64 alpha 4) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 alpha (+.f64 alpha 4) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 alpha (+.f64 alpha 4) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 alpha (+.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 alpha (+.f64 alpha 4) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 alpha (+.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 alpha (+.f64 alpha 4) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 alpha (+.f64 alpha 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (+.f64 alpha 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 4) alpha 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 alpha (+.f64 alpha 4)) 1 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 4)) 2) (.f64 (cbrt.f64 (+.f64 alpha 4)) alpha) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 alpha (+.f64 alpha 4))) (pow.f64 (cbrt.f64 (.f64 alpha (+.f64 alpha 4))) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 alpha (+.f64 alpha 4))) 2) (cbrt.f64 (.f64 alpha (+.f64 alpha 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (.f64 (cbrt.f64 alpha) (+.f64 alpha 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha 4)) (.f64 (sqrt.f64 (+.f64 alpha 4)) alpha) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 alpha (+.f64 alpha 4))) (sqrt.f64 (.f64 alpha (+.f64 alpha 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (.f64 (sqrt.f64 alpha) (+.f64 alpha 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 4)) 2)) (cbrt.f64 (+.f64 alpha 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 alpha (sqrt.f64 (+.f64 alpha 4))) (sqrt.f64 (+.f64 alpha 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 alpha 4) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 alpha 4) (sqrt.f64 alpha)) (sqrt.f64 alpha) 4)))))

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

827×	`distribute-neg-frac_binary64`
575×	`times-frac_binary64`
516×	`fma-def_binary64`
339×	`associate-/l/_binary64`
273×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	573
1	140	499
2	356	472
3	902	458
4	2736	458
5	6901	458

Stop Event

1×	node limit

Counts

252 → 242

Calls

Call 1

Inputs
1/12
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (+.f64 (.f64 -1/36 alpha) (.f64 -5/432 (pow.f64 alpha 2))))
(+.f64 1/12 (+.f64 (.f64 -1/36 alpha) (+.f64 (.f64 2/81 (pow.f64 alpha 3)) (*.f64 -5/432 (pow.f64 alpha 2)))))
(/.f64 1 (pow.f64 alpha 2))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 3))) (*.f64 98 (/.f64 1 (pow.f64 alpha 5)))))
(/.f64 1 (pow.f64 alpha 2))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 3))) (*.f64 98 (/.f64 1 (pow.f64 alpha 5)))))
12
(+.f64 12 (*.f64 16 alpha))
(+.f64 12 (+.f64 (.f64 7 (pow.f64 alpha 2)) (.f64 16 alpha)))
(+.f64 (pow.f64 alpha 3) (+.f64 12 (+.f64 (.f64 7 (pow.f64 alpha 2)) (.f64 16 alpha))))
(pow.f64 alpha 3)
(+.f64 (pow.f64 alpha 3) (*.f64 7 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (+.f64 (.f64 7 (pow.f64 alpha 2)) (.f64 16 alpha)))
(+.f64 12 (+.f64 (pow.f64 alpha 3) (+.f64 (.f64 7 (pow.f64 alpha 2)) (.f64 16 alpha))))
(pow.f64 alpha 3)
(+.f64 (pow.f64 alpha 3) (*.f64 7 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (+.f64 (.f64 7 (pow.f64 alpha 2)) (.f64 16 alpha)))
(+.f64 12 (+.f64 (pow.f64 alpha 3) (+.f64 (.f64 7 (pow.f64 alpha 2)) (.f64 16 alpha))))
(*.f64 4 alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
4
(+.f64 4 (*.f64 4 alpha))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))

Outputs
1/12
(+.f64 1/12 (*.f64 -1/36 alpha))
(fma.f64 -1/36 alpha 1/12)
(+.f64 1/12 (+.f64 (.f64 -1/36 alpha) (.f64 -5/432 (pow.f64 alpha 2))))
(+.f64 1/12 (fma.f64 -1/36 alpha (.f64 -5/432 (.f64 alpha alpha))))
(+.f64 1/12 (fma.f64 -5/432 (.f64 alpha alpha) (.f64 -1/36 alpha)))
(fma.f64 -1/36 alpha (fma.f64 alpha (*.f64 alpha -5/432) 1/12))
(fma.f64 alpha (fma.f64 alpha -5/432 -1/36) 1/12)
(+.f64 1/12 (+.f64 (.f64 -1/36 alpha) (+.f64 (.f64 2/81 (pow.f64 alpha 3)) (*.f64 -5/432 (pow.f64 alpha 2)))))
(+.f64 1/12 (fma.f64 -1/36 alpha (fma.f64 2/81 (pow.f64 alpha 3) (.f64 -5/432 (.f64 alpha alpha)))))
(+.f64 (fma.f64 -1/36 alpha 1/12) (fma.f64 -5/432 (.f64 alpha alpha) (.f64 2/81 (pow.f64 alpha 3))))
(+.f64 1/12 (fma.f64 -1/36 alpha (.f64 (.f64 alpha alpha) (+.f64 -5/432 (*.f64 alpha 2/81)))))
(fma.f64 -1/36 alpha (fma.f64 (*.f64 alpha alpha) (fma.f64 alpha 2/81 -5/432) 1/12))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 (/.f64 1 alpha) alpha)
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3)))
(+.f64 (/.f64 (/.f64 1 alpha) alpha) (/.f64 -6 (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 26 (pow.f64 alpha 4)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3))))
(+.f64 (+.f64 (/.f64 (/.f64 1 alpha) alpha) (/.f64 -6 (pow.f64 alpha 3))) (/.f64 26 (pow.f64 alpha 4)))
(+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3))) (/.f64 26 (pow.f64 alpha 4)))
(-.f64 (+.f64 (.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 3))) (*.f64 98 (/.f64 1 (pow.f64 alpha 5)))))
(+.f64 (/.f64 26 (pow.f64 alpha 4)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 6 (pow.f64 alpha 3)) (/.f64 98 (pow.f64 alpha 5)))))
(+.f64 (/.f64 (/.f64 1 alpha) alpha) (-.f64 (/.f64 26 (pow.f64 alpha 4)) (+.f64 (/.f64 6 (pow.f64 alpha 3)) (/.f64 98 (pow.f64 alpha 5)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3))) (-.f64 (/.f64 26 (pow.f64 alpha 4)) (/.f64 98 (pow.f64 alpha 5))))
(+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3))) (+.f64 (/.f64 26 (pow.f64 alpha 4)) (/.f64 -98 (pow.f64 alpha 5))))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 (/.f64 1 alpha) alpha)
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3)))
(+.f64 (/.f64 (/.f64 1 alpha) alpha) (/.f64 -6 (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 26 (pow.f64 alpha 4)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3))))
(+.f64 (+.f64 (/.f64 (/.f64 1 alpha) alpha) (/.f64 -6 (pow.f64 alpha 3))) (/.f64 26 (pow.f64 alpha 4)))
(+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3))) (/.f64 26 (pow.f64 alpha 4)))
(-.f64 (+.f64 (.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 3))) (*.f64 98 (/.f64 1 (pow.f64 alpha 5)))))
(+.f64 (/.f64 26 (pow.f64 alpha 4)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 6 (pow.f64 alpha 3)) (/.f64 98 (pow.f64 alpha 5)))))
(+.f64 (/.f64 (/.f64 1 alpha) alpha) (-.f64 (/.f64 26 (pow.f64 alpha 4)) (+.f64 (/.f64 6 (pow.f64 alpha 3)) (/.f64 98 (pow.f64 alpha 5)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3))) (-.f64 (/.f64 26 (pow.f64 alpha 4)) (/.f64 98 (pow.f64 alpha 5))))
(+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3))) (+.f64 (/.f64 26 (pow.f64 alpha 4)) (/.f64 -98 (pow.f64 alpha 5))))
12
(+.f64 12 (*.f64 16 alpha))
(+.f64 12 (*.f64 alpha 16))
(fma.f64 alpha 16 12)
(+.f64 12 (+.f64 (.f64 7 (pow.f64 alpha 2)) (.f64 16 alpha)))
(+.f64 12 (fma.f64 7 (.f64 alpha alpha) (.f64 alpha 16)))
(+.f64 (fma.f64 alpha 16 12) (.f64 alpha (.f64 alpha 7)))
(fma.f64 alpha (*.f64 alpha 7) (fma.f64 alpha 16 12))
(fma.f64 alpha (fma.f64 alpha 7 16) 12)
(+.f64 (pow.f64 alpha 3) (+.f64 12 (+.f64 (.f64 7 (pow.f64 alpha 2)) (.f64 16 alpha))))
(+.f64 (pow.f64 alpha 3) (+.f64 12 (fma.f64 7 (.f64 alpha alpha) (.f64 alpha 16))))
(+.f64 (.f64 (.f64 alpha alpha) (+.f64 alpha 7)) (fma.f64 alpha 16 12))
(fma.f64 (*.f64 alpha alpha) (+.f64 alpha 7) (fma.f64 alpha 16 12))
(+.f64 (pow.f64 alpha 3) (fma.f64 alpha (fma.f64 alpha 7 16) 12))
(pow.f64 alpha 3)
(+.f64 (pow.f64 alpha 3) (*.f64 7 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (.f64 (.f64 alpha alpha) 7))
(.f64 (.f64 alpha alpha) (+.f64 alpha 7))
(.f64 alpha (.f64 alpha (+.f64 alpha 7)))
(+.f64 (pow.f64 alpha 3) (+.f64 (.f64 7 (pow.f64 alpha 2)) (.f64 16 alpha)))
(+.f64 (pow.f64 alpha 3) (fma.f64 7 (.f64 alpha alpha) (.f64 alpha 16)))
(+.f64 (.f64 alpha 16) (.f64 (*.f64 alpha alpha) (+.f64 alpha 7)))
(fma.f64 alpha 16 (.f64 (.f64 alpha alpha) (+.f64 alpha 7)))
(fma.f64 alpha (fma.f64 alpha 7 16) (pow.f64 alpha 3))
(+.f64 12 (+.f64 (pow.f64 alpha 3) (+.f64 (.f64 7 (pow.f64 alpha 2)) (.f64 16 alpha))))
(+.f64 (pow.f64 alpha 3) (+.f64 12 (fma.f64 7 (.f64 alpha alpha) (.f64 alpha 16))))
(+.f64 (.f64 (.f64 alpha alpha) (+.f64 alpha 7)) (fma.f64 alpha 16 12))
(fma.f64 (*.f64 alpha alpha) (+.f64 alpha 7) (fma.f64 alpha 16 12))
(+.f64 (pow.f64 alpha 3) (fma.f64 alpha (fma.f64 alpha 7 16) 12))
(pow.f64 alpha 3)
(+.f64 (pow.f64 alpha 3) (*.f64 7 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (.f64 (.f64 alpha alpha) 7))
(.f64 (.f64 alpha alpha) (+.f64 alpha 7))
(.f64 alpha (.f64 alpha (+.f64 alpha 7)))
(+.f64 (pow.f64 alpha 3) (+.f64 (.f64 7 (pow.f64 alpha 2)) (.f64 16 alpha)))
(+.f64 (pow.f64 alpha 3) (fma.f64 7 (.f64 alpha alpha) (.f64 alpha 16)))
(+.f64 (.f64 alpha 16) (.f64 (*.f64 alpha alpha) (+.f64 alpha 7)))
(fma.f64 alpha 16 (.f64 (.f64 alpha alpha) (+.f64 alpha 7)))
(fma.f64 alpha (fma.f64 alpha 7 16) (pow.f64 alpha 3))
(+.f64 12 (+.f64 (pow.f64 alpha 3) (+.f64 (.f64 7 (pow.f64 alpha 2)) (.f64 16 alpha))))
(+.f64 (pow.f64 alpha 3) (+.f64 12 (fma.f64 7 (.f64 alpha alpha) (.f64 alpha 16))))
(+.f64 (.f64 (.f64 alpha alpha) (+.f64 alpha 7)) (fma.f64 alpha 16 12))
(fma.f64 (*.f64 alpha alpha) (+.f64 alpha 7) (fma.f64 alpha 16 12))
(+.f64 (pow.f64 alpha 3) (fma.f64 alpha (fma.f64 alpha 7 16) 12))
(*.f64 4 alpha)
(*.f64 alpha 4)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
4
(+.f64 4 (*.f64 4 alpha))
(+.f64 4 (*.f64 alpha 4))
(fma.f64 alpha 4 4)
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(+.f64 4 (*.f64 alpha (+.f64 alpha 4)))
(fma.f64 alpha (+.f64 alpha 4) 4)
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(+.f64 4 (*.f64 alpha (+.f64 alpha 4)))
(fma.f64 alpha (+.f64 alpha 4) 4)
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(+.f64 4 (*.f64 alpha (+.f64 alpha 4)))
(fma.f64 alpha (+.f64 alpha 4) 4)
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(+.f64 4 (*.f64 alpha (+.f64 alpha 4)))
(fma.f64 alpha (+.f64 alpha 4) 4)
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (+.f64 alpha 4))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(+.f64 4 (*.f64 alpha (+.f64 alpha 4)))
(fma.f64 alpha (+.f64 alpha 4) 4)
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (.f64 alpha alpha) (.f64 alpha 4)))
(+.f64 4 (*.f64 alpha (+.f64 alpha 4)))
(fma.f64 alpha (+.f64 alpha 4) 4)

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.0b

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

0.1b

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

✓

9.1b

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

Compiler

Compiled 81 to 41 computations (49.4% saved)

series12.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

441×	`fma-neg_binary64`
319×	`expm1-udef_binary64`
319×	`log1p-udef_binary64`
309×	`log-div_binary64`
248×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	346	26
2	5664	26

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

357×	`distribute-rgt-in_binary64`
351×	`distribute-lft-in_binary64`
307×	`cancel-sign-sub-inv_binary64`
245×	`distribute-neg-in_binary64`
243×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	245	3018
1	996	2710
2	5127	2597

Stop Event

1×	node limit

Counts

67 → 88

Calls

Call 1

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

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

eval857.0ms (6%)

Compiler: Compiled 33972 to 24473 computations (28% saved)

prune250.0ms (1.7%)

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	824	6	830
Fresh	4	13	17
Picked	0	1	1
Done	1	5	6
Total	829	25	854

Error

Counts

854 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.9b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
✓	60.0b	(/.f64 1/4 beta)
	0.2b	(pow.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta 1))) (+.f64 2 (+.f64 alpha beta)))) -1)
	7.7b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	53.9b	(/.f64 (-.f64 1 (.f64 beta beta)) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha 1) (*.f64 beta beta))) (-.f64 1 beta)))
	38.0b	(+.f64 1/12 (*.f64 -1/36 alpha))
	38.0b	1/12
	40.6b	(/.f64 (/.f64 alpha beta) beta)
	38.5b	(+.f64 1/12 (*.f64 -1/36 beta))
	21.0b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
	32.2b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 beta (*.f64 beta (+.f64 beta 2)))) (+.f64 1 beta))
	25.9b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	24.5b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 1 (/.f64 (neg.f64 (+.f64 1 alpha)) beta)) (+.f64 alpha (+.f64 3 beta))))
	25.4b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta)
	32.8b	(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
	29.6b	(/.f64 1 (*.f64 beta beta))
✓	34.0b	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	32.8b	(.f64 (/.f64 (/.f64 1 (.f64 beta beta)) (+.f64 beta 2)) (+.f64 1 beta))
✓	36.4b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))
	25.4b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	4.4b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	27.2b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
✓	36.3b	(/.f64 1/4 (+.f64 beta 3))
	37.7b	(/.f64 1/4 (+.f64 3 alpha))
✓	0.1b	(pow.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) -1)

Compiler

Compiled 368 to 266 computations (27.7% saved)

regimes131.0ms (0.9%)

Counts

57 → 1

Calls

Call 1

Inputs
1/12
1/12
(/.f64 1/4 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta)
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1 (.f64 beta beta)) (+.f64 beta 2)) (+.f64 1 beta))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 beta beta)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 beta (*.f64 beta (+.f64 beta 2)))) (+.f64 1 beta))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 beta beta))) (+.f64 1 beta))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (.f64 alpha (+.f64 alpha 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (-.f64 1 (.f64 beta beta)) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha 1) (*.f64 beta beta))) (-.f64 1 beta)))
(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 1 (/.f64 (neg.f64 (+.f64 1 alpha)) beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha))))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (pow.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (+.f64 1 beta))
(pow.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta 1))) (+.f64 2 (+.f64 alpha beta)))) -1)
(pow.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) -1)
(/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 4 (.f64 2 alpha)))) (.f64 beta (-.f64 (+.f64 5 (.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) 3)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
(.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (+.f64 (.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))))

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

Calls

4 calls:

34.0ms	beta
33.0ms	alpha
18.0ms	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
17.0ms	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))

Results

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

Compiler

Compiled 1111 to 735 computations (33.8% saved)

regimes135.0ms (0.9%)

Counts

37 → 2

Calls

Call 1

Inputs
1/12
1/12
(/.f64 1/4 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta)
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1 (.f64 beta beta)) (+.f64 beta 2)) (+.f64 1 beta))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 beta beta)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 beta (*.f64 beta (+.f64 beta 2)))) (+.f64 1 beta))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 beta beta))) (+.f64 1 beta))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (.f64 alpha (+.f64 alpha 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (-.f64 1 (.f64 beta beta)) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha 1) (*.f64 beta beta))) (-.f64 1 beta)))
(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 1 (/.f64 (neg.f64 (+.f64 1 alpha)) beta)) (+.f64 alpha (+.f64 3 beta))))

Outputs

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

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

Calls

2 calls:

76.0ms	alpha
43.0ms	beta

Results

Error	Segments	Branch
0.4b	2	`alpha`
0.4b	2	`beta`

Compiler

Compiled 460 to 295 computations (35.9% saved)

bsearch53.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
53.0ms	94424071364.10957	8588658449025668.0

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes161.0ms (1.1%)

Counts

36 → 2

Calls

Call 1

Inputs
1/12
1/12
(/.f64 1/4 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta)
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1 (.f64 beta beta)) (+.f64 beta 2)) (+.f64 1 beta))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 beta beta)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 beta (*.f64 beta (+.f64 beta 2)))) (+.f64 1 beta))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 beta beta))) (+.f64 1 beta))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (.f64 alpha (+.f64 alpha 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (-.f64 1 (.f64 beta beta)) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha 1) (*.f64 beta beta))) (-.f64 1 beta)))
(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

Outputs

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

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

Calls

2 calls:

74.0ms	beta
66.0ms	alpha

Results

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

Compiler

Compiled 436 to 278 computations (36.2% saved)

bsearch53.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
53.0ms	5459374.001068116	4437549716.950674

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes239.0ms (1.7%)

Counts

29 → 2

Calls

Call 1

Inputs
1/12
1/12
(/.f64 1/4 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta)
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1 (.f64 beta beta)) (+.f64 beta 2)) (+.f64 1 beta))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 beta beta)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 beta (*.f64 beta (+.f64 beta 2)))) (+.f64 1 beta))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 beta beta))) (+.f64 1 beta))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))

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

Calls

2 calls:

184.0ms	alpha
40.0ms	beta

Results

Error	Segments	Branch
13.9b	10	`alpha`
1.1b	2	`beta`

Compiler

Compiled 287 to 183 computations (36.2% saved)

bsearch75.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
75.0ms	2.5895143479649384e-5	135.92009494691555

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes266.0ms (1.9%)

Counts

24 → 2

Calls

Call 1

Inputs
1/12
1/12
(/.f64 1/4 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta)
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1 (.f64 beta beta)) (+.f64 beta 2)) (+.f64 1 beta))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 beta beta)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 beta (*.f64 beta (+.f64 beta 2)))) (+.f64 1 beta))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

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

Calls

2 calls:

234.0ms	alpha
26.0ms	beta

Results

Error	Segments	Branch
15.5b	10	`alpha`
1.6b	2	`beta`

Compiler

Compiled 202 to 129 computations (36.1% saved)

bsearch70.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
70.0ms	2.5895143479649384e-5	135.92009494691555

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes200.0ms (1.4%)

Counts

22 → 2

Calls

Call 1

Inputs
1/12
1/12
(/.f64 1/4 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta)
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1 (.f64 beta beta)) (+.f64 beta 2)) (+.f64 1 beta))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 beta beta)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 beta (*.f64 beta (+.f64 beta 2)))) (+.f64 1 beta))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 (+.f64 4 alpha) alpha))))

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

Calls

2 calls:

171.0ms	alpha
24.0ms	beta

Results

Error	Segments	Branch
15.5b	10	`alpha`
1.6b	2	`beta`

Compiler

Compiled 172 to 109 computations (36.6% saved)

bsearch81.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
80.0ms	2.5895143479649384e-5	135.92009494691555

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes115.0ms (0.8%)

Counts

16 → 2

Calls

Call 1

Inputs
1/12
1/12
(/.f64 1/4 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta)

Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta)

Calls

2 calls:

91.0ms	alpha
20.0ms	beta

Results

Error	Segments	Branch
15.7b	10	`alpha`
1.7b	2	`beta`

Compiler

Compiled 94 to 57 computations (39.4% saved)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	2.5895143479649384e-5	135.92009494691555

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes216.0ms (1.5%)

Counts

15 → 2

Calls

Call 1

Inputs
1/12
1/12
(/.f64 1/4 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Calls

2 calls:

182.0ms	alpha
29.0ms	beta

Results

Error	Segments	Branch
15.8b	10	`alpha`
1.8b	2	`beta`

Compiler

Compiled 83 to 50 computations (39.8% saved)

bsearch61.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
59.0ms	2.5895143479649384e-5	135.92009494691555

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes199.0ms (1.4%)

Counts

11 → 3

Calls

Call 1

Inputs
1/12
1/12
(/.f64 1/4 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))

Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)

Calls

2 calls:

137.0ms	alpha
57.0ms	beta

Results

Error	Segments	Branch
16.0b	11	`alpha`
3.8b	3	`beta`

Compiler

Compiled 53 to 33 computations (37.7% saved)

bsearch140.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	6.820623333886873e+147	1.0140294892026745e+157
79.0ms	2.5895143479649384e-5	135.92009494691555

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes72.0ms (0.5%)

Counts

7 → 3

Calls

Call 1

Inputs
1/12
1/12
(/.f64 1/4 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))

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

Calls

2 calls:

55.0ms	alpha
15.0ms	beta

Results

Error	Segments	Branch
16.4b	11	`alpha`
4.1b	3	`beta`

Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch108.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	6.820623333886873e+147	1.0140294892026745e+157
77.0ms	2.5895143479649384e-5	135.92009494691555

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes156.0ms (1.1%)

Counts

6 → 3

Calls

Call 1

Inputs
1/12
1/12
(/.f64 1/4 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))

Outputs
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)

Calls

2 calls:

101.0ms	alpha
53.0ms	beta

Results

Error	Segments	Branch
16.4b	11	`alpha`
4.1b	3	`beta`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch74.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	6.820623333886873e+147	1.0140294892026745e+157
44.0ms	2.5895143479649384e-5	135.92009494691555

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes21.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
1/12
1/12
(/.f64 1/4 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (/.f64 alpha beta) beta)

Outputs
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (/.f64 alpha beta) beta)

Calls

2 calls:

10.0ms	alpha
9.0ms	beta

Results

Error	Segments	Branch
27.9b	2	`alpha`
16.5b	2	`beta`

Compiler

Compiled 23 to 16 computations (30.4% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	4.420573660354525e+67	6.781529587300904e+69

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
1/12
1/12
(/.f64 1/4 beta)
(+.f64 1/12 (*.f64 -1/36 alpha))

Outputs
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/4 beta)

Calls

2 calls:

8.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
38.0b	1	`alpha`
36.7b	2	`beta`

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	2.5895143479649384e-5	135.92009494691555

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes17.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
1/12
1/12
(/.f64 1/4 beta)

Outputs
1/12
(/.f64 1/4 beta)

Calls

2 calls:

10.0ms	beta
5.0ms	alpha

Results

Error	Segments	Branch
38.0b	1	`alpha`
36.8b	2	`beta`

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch38.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	2.5895143479649384e-5	135.92009494691555

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes15.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
1/12
1/12

Outputs
1/12

Calls

2 calls:

7.0ms	beta
7.0ms	alpha

Results

Error	Segments	Branch
38.0b	1	`alpha`
38.0b	1	`beta`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

47×	`distribute-rgt-neg-in_binary64`
46×	`cancel-sign-sub-inv_binary64`
30×	`+-commutative_binary64`
30×	`distribute-lft-neg-in_binary64`
30×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	483
1	112	481
2	126	481
3	153	481
4	180	481
5	224	481
6	286	481
7	351	481
8	425	481
9	464	481
10	468	481

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))
(if (<=.f64 beta 6188175940918285/65536) (.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (.f64 (-.f64 1 (/.f64 (neg.f64 (+.f64 1 alpha)) beta)) (+.f64 alpha (+.f64 3 beta)))))
(if (<=.f64 beta 23447832791220228/4294967296) (.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (.f64 2 alpha)))))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (.f64 2 alpha)))))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (.f64 -1/36 beta)) (if (<=.f64 beta 6820623333886873316332496418640827472864585532050616520390954931449358324215267167726320969867456106863454368679980680457213415332668644751665266688) (/.f64 1 (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (/.f64 1/4 (+.f64 3 alpha)) (if (<=.f64 beta 6820623333886873316332496418640827472864585532050616520390954931449358324215267167726320969867456106863454368679980680457213415332668644751665266688) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (.f64 -1/36 alpha)) (if (<=.f64 beta 6820623333886873316332496418640827472864585532050616520390954931449358324215267167726320969867456106863454368679980680457213415332668644751665266688) (/.f64 1 (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 44205736603545247928209057327361003461867989898871685993390256685056) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 1/4 beta))
(if (<=.f64 beta 7642897352337293/295147905179352825856) 1/12 (/.f64 1/4 beta))
1/12

Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 6188175940918285/65536) (.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (.f64 (-.f64 1 (/.f64 (neg.f64 (+.f64 1 alpha)) beta)) (+.f64 alpha (+.f64 3 beta)))))
(if (<=.f64 beta 6188175940918285/65536) (.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 1 (/.f64 (+.f64 -1 (neg.f64 alpha)) beta)))))
(if (<=.f64 beta 6188175940918285/65536) (.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 1 (/.f64 (-.f64 -1 alpha) beta)))))
(if (<=.f64 beta 23447832791220228/4294967296) (.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (.f64 2 alpha)))))
(if (<=.f64 beta 5861958197805057/1073741824) (.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (.f64 alpha 2)))))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (.f64 2 alpha)))))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (/.f64 1/4 (+.f64 1 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 4 (*.f64 alpha 2)))))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (/.f64 1/4 (+.f64 1 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (/.f64 1/4 (+.f64 1 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (*.f64 beta -1/36)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) beta))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (*.f64 beta -1/36)) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (.f64 -1/36 beta)) (if (<=.f64 beta 6820623333886873316332496418640827472864585532050616520390954931449358324215267167726320969867456106863454368679980680457213415332668644751665266688) (/.f64 1 (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (.f64 beta -1/36)) (if (<=.f64 beta 6820623333886873316332496418640827472864585532050616520390954931449358324215267167726320969867456106863454368679980680457213415332668644751665266688) (/.f64 1 (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (/.f64 1/4 (+.f64 3 alpha)) (if (<=.f64 beta 6820623333886873316332496418640827472864585532050616520390954931449358324215267167726320969867456106863454368679980680457213415332668644751665266688) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (/.f64 1/4 (+.f64 alpha 3)) (if (<=.f64 beta 6820623333886873316332496418640827472864585532050616520390954931449358324215267167726320969867456106863454368679980680457213415332668644751665266688) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (.f64 -1/36 alpha)) (if (<=.f64 beta 6820623333886873316332496418640827472864585532050616520390954931449358324215267167726320969867456106863454368679980680457213415332668644751665266688) (/.f64 1 (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (.f64 alpha -1/36)) (if (<=.f64 beta 6820623333886873316332496418640827472864585532050616520390954931449358324215267167726320969867456106863454368679980680457213415332668644751665266688) (/.f64 1 (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 44205736603545247928209057327361003461867989898871685993390256685056) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 beta 44205736603545247928209057327361003461867989898871685993390256685056) (+.f64 1/12 (*.f64 alpha -1/36)) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 1/4 beta))
(if (<=.f64 beta 7642897352337293/295147905179352825856) (+.f64 1/12 (*.f64 alpha -1/36)) (/.f64 1/4 beta))
(if (<=.f64 beta 7642897352337293/295147905179352825856) 1/12 (/.f64 1/4 beta))
1/12

Compiler

Compiled 361 to 261 computations (27.7% saved)

soundness254.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 798 to 552 computations (30.8% saved)

end304.0ms (2.1%)

Remove: (sort alpha beta)
Compiler: Compiled 387 to 261 computations (32.6% saved)

Iter	Nodes	Cost
0	81	483
1	112	481
2	126	481
3	153	481
4	180	481
5	224	481
6	286	481
7	351	481
8	425	481
9	464	481
10	468	481

Iter	Nodes	Cost
0	81	483
1	112	481
2	126	481
3	153	481
4	180	481
5	224	481
6	286	481
7	351	481
8	425	481
9	464	481
10	468	481

Iter	Nodes	Cost
0	81	483
1	112	481
2	126	481
3	153	481
4	180	481
5	224	481
6	286	481
7	351	481
8	425	481
9	464	481
10	468	481