Details

analyze186.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample4.3s (10.5%)

Results

2.6s	6544×	body	256	valid
1.3s	1027×	body	1024	valid
272.0ms	593×	body	512	valid
88.0ms	92×	body	2048	valid

Bogosity

preprocess243.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1580×	`rational_best-simplify-75`
1548×	`rational_best-simplify-76`
1140×	`rational_best-simplify-53`
1092×	`rational_best-simplify-49`
850×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	52	74
2	130	74
3	370	74
4	1193	74
5	4061	74
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify196.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1546×	`rational_best-simplify-83`
1390×	`rational_best-simplify-67`
890×	`rational_best-simplify-3`
732×	`rational_best-simplify-64`
656×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	31	37
2	81	37
3	235	37
4	747	37
5	2301	37

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval18.0ms (0%)

Compiler: Compiled 80 to 51 computations (36.3% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

17.1b

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.1b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize43.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
✓	1.9b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series23.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
1.0ms	alpha	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
1.0ms	alpha	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
1.0ms	beta	@	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
1.0ms	beta	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

rewrite405.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1914×	`rational_best-4`
1914×	`rational_best-2`
1914×	`rational_best-3`
1914×	`rational_best-1`
1914×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	78	56
2	191	56
3	675	56
4	4362	56

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (neg.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 -1 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 -1 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))) (/.f64 0 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 -1 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) (neg.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 -1 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (+.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 -1 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) 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(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))) (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (.f64 2 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) 1/2) (/.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) 1/2) (-.f64 0 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (-.f64 (.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -2)) (+.f64 alpha (+.f64 beta 2))) (/.f64 4 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (-.f64 (.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -2)) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 2 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))
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Outputs

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

simplify643.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1018×	`rational_best-simplify-1`
850×	`rational_best-simplify-57`
836×	`rational_best-simplify-52`
810×	`rational_best-simplify-63`
728×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	525	9848
1	1531	9332
2	4438	9058

Stop Event

1×	node limit

Counts

200 → 327

Calls

Call 1

Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
1
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
-1
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
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(-.f64 (/.f64 (/.f64 (+.f64 (-.f64 beta alpha) (+.f64 beta beta)) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 2 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))) (/.f64 (/.f64 (-.f64 (+.f64 alpha alpha) (-.f64 beta alpha)) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 2 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 1 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(.f64 (.f64 -2 (-.f64 alpha beta)) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(.f64 (.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)
(.f64 (.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 2 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))))
(.f64 (.f64 (-.f64 beta alpha) 4) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)))
(.f64 1/2 (.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))
(.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (.f64 -2 (-.f64 alpha beta)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (*.f64 (-.f64 beta alpha) 4))
(.f64 (/.f64 (.f64 (-.f64 beta alpha) 4) (+.f64 alpha (+.f64 beta 2))) 1/4)
(.f64 (/.f64 (.f64 (-.f64 beta alpha) 4) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 2 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))) 1/2)))
(.f64 (.f64 2 (.f64 (-.f64 beta alpha) 4)) (/.f64 1 (.f64 2 (*.f64 (+.f64 alpha (+.f64 beta 2)) 4))))
(.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 1 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
(.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 -2 (-.f64 alpha beta))) (/.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
(.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (-.f64 beta alpha) 4)) (/.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(neg.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))

Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(-.f64 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (+.f64 1 (.f64 (pow.f64 beta 2) (-.f64 (*.f64 alpha (/.f64 -1 (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))))) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (.f64 (pow.f64 beta 2) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (+.f64 1 (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 alpha (/.f64 -1 (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))))) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (+.f64 (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))) (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))))) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))))) (/.f64 alpha (+.f64 alpha 2)))
2
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2)
(+.f64 2 (.f64 (+.f64 2 (.f64 alpha 2)) (/.f64 -1 beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 (+.f64 2 (.f64 alpha 2)) (/.f64 -1 beta)) (+.f64 2 (/.f64 (.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2)))) (.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 -1 (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (/.f64 (.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2)) (neg.f64 (/.f64 (+.f64 2 (.f64 alpha 2)) beta)))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (neg.f64 (/.f64 (+.f64 2 (.f64 alpha 2)) beta)) (/.f64 (.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2)) (.f64 (.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 -1 (pow.f64 beta 3)))) (+.f64 2 (.f64 (+.f64 2 (.f64 alpha 2)) (/.f64 -1 beta)))) (+.f64 (.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 -1 (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 2 (+.f64 (neg.f64 (/.f64 (+.f64 2 (.f64 alpha 2)) beta)) (+.f64 (/.f64 (.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2)) (neg.f64 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)))))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (+.f64 2 (/.f64 (.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2))) (.f64 -1 (+.f64 (/.f64 (.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)) (/.f64 (+.f64 2 (.f64 alpha 2)) beta)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (.f64 alpha (/.f64 -1 beta))) (+.f64 (/.f64 alpha beta) (.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (neg.f64 (/.f64 alpha beta))) (+.f64 (/.f64 alpha beta) (*.f64 1 (/.f64 2 beta))))
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (+.f64 (.f64 alpha (/.f64 -1 beta)) (.f64 -1 (/.f64 (.f64 (+.f64 alpha 2) (-.f64 (.f64 alpha -1) (+.f64 alpha 2))) (pow.f64 beta 2))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (.f64 -1 (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 (-.f64 (neg.f64 alpha) alpha) -2)) (pow.f64 beta 2))))) (+.f64 (/.f64 alpha beta) (*.f64 1 (/.f64 2 beta))))
(-.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (neg.f64 (/.f64 (.f64 (+.f64 alpha 2) (+.f64 (.f64 -2 alpha) -2)) (pow.f64 beta 2)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 alpha 2) (-.f64 (.f64 alpha -1) (+.f64 alpha 2))) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (.f64 alpha -1) (+.f64 alpha 2))) (pow.f64 beta 3)) (+.f64 2 (.f64 alpha (/.f64 -1 beta))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (+.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (-.f64 (neg.f64 alpha) alpha) -2)) (pow.f64 beta 3))) (.f64 -1 (+.f64 (/.f64 alpha beta) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 (-.f64 (neg.f64 alpha) alpha) -2)) (pow.f64 beta 2))))) (+.f64 (/.f64 alpha beta) (.f64 1 (/.f64 2 beta))))
(-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 alpha 2) (+.f64 (.f64 -2 alpha) -2)) (pow.f64 beta 2))) (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (.f64 -2 alpha) -2)) (pow.f64 beta 3)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 2 beta)) (.f64 alpha (.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) -1))))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))
(+.f64 (*.f64 alpha (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (.f64 beta (/.f64 -1 (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 alpha (.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) -1)) 1))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 2 beta)) (+.f64 (.f64 alpha (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (neg.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 alpha 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(+.f64 (+.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (.f64 beta (/.f64 -1 (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 alpha (.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) -1)) 1)) (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (.f64 (pow.f64 alpha 3) -1)))
(+.f64 1 (+.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) (+.f64 (.f64 alpha (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (neg.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 alpha 2)))) (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (neg.f64 (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) (+.f64 (.f64 alpha (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (neg.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 alpha 2)))) (+.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (.f64 1 (/.f64 2 alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))) (/.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (.f64 1 (/.f64 2 alpha)) (.f64 2 (/.f64 beta alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (.f64 (/.f64 2 alpha) (+.f64 1 beta))) (/.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (+.f64 (.f64 1 (/.f64 2 alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 -1 (pow.f64 alpha 3)))))
(-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (.f64 1 (/.f64 2 alpha)) (.f64 2 (/.f64 beta alpha)))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (neg.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (.f64 (/.f64 2 alpha) (+.f64 1 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
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1
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(-.f64 (-.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(-.f64 (-.f64 0 (neg.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))) (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(-.f64 (-.f64 (/.f64 beta (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 alpha beta) (.f64 2 (+.f64 alpha (+.f64 beta 2))))) (/.f64 alpha (*.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(-.f64 (-.f64 (/.f64 beta (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 0 (/.f64 beta (.f64 2 (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (/.f64 beta (.f64 2 (+.f64 alpha (+.f64 2 beta)))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 2 (+.f64 alpha (+.f64 2 beta))))))
(-.f64 (/.f64 beta (*.f64 2 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 alpha (/.f64 beta 2)) (+.f64 alpha (+.f64 2 beta))))
(-.f64 (.f64 -2 (neg.f64 (/.f64 beta (.f64 2 (+.f64 2 (+.f64 alpha beta)))))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(-.f64 (-.f64 (/.f64 beta (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (.f64 2 (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (/.f64 beta (.f64 2 (+.f64 alpha (+.f64 2 beta)))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 2 (+.f64 alpha (+.f64 2 beta))))))
(-.f64 (/.f64 beta (*.f64 2 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 alpha (/.f64 beta 2)) (+.f64 alpha (+.f64 2 beta))))
(-.f64 (.f64 -2 (neg.f64 (/.f64 beta (.f64 2 (+.f64 2 (+.f64 alpha beta)))))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(-.f64 (/.f64 0 (+.f64 1 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))) (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(-.f64 (/.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))) (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(-.f64 (/.f64 (+.f64 beta (-.f64 beta alpha)) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 (+.f64 beta (-.f64 beta alpha)) alpha) (*.f64 2 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 (+.f64 beta (-.f64 beta alpha)) alpha) (*.f64 2 (+.f64 2 (+.f64 alpha beta))))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) 3) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) 2) (/.f64 (/.f64 (-.f64 alpha beta) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) 2))
(/.f64 (-.f64 (/.f64 (.f64 3 (-.f64 beta alpha)) (.f64 2 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 alpha beta) (*.f64 2 (+.f64 alpha (+.f64 2 beta))))) 2)
(/.f64 (-.f64 (.f64 3 (-.f64 beta alpha)) (-.f64 alpha beta)) (.f64 4 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 beta (-.f64 alpha (.f64 3 (-.f64 beta alpha)))) (.f64 4 (+.f64 2 (+.f64 alpha beta))))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) 3) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 2 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))) (/.f64 (/.f64 (-.f64 alpha beta) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 2 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 (/.f64 (.f64 3 (-.f64 beta alpha)) (.f64 2 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 alpha beta) (*.f64 2 (+.f64 alpha (+.f64 2 beta))))) 2)
(/.f64 (-.f64 (.f64 3 (-.f64 beta alpha)) (-.f64 alpha beta)) (.f64 4 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 beta (-.f64 alpha (.f64 3 (-.f64 beta alpha)))) (.f64 4 (+.f64 2 (+.f64 alpha beta))))
(-.f64 (/.f64 (.f64 (-.f64 beta alpha) 3) (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)))
(/.f64 (-.f64 (/.f64 (.f64 3 (-.f64 beta alpha)) (.f64 2 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 alpha beta) (*.f64 2 (+.f64 alpha (+.f64 2 beta))))) 2)
(/.f64 (-.f64 (.f64 3 (-.f64 beta alpha)) (-.f64 alpha beta)) (.f64 4 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 beta (-.f64 alpha (.f64 3 (-.f64 beta alpha)))) (.f64 4 (+.f64 2 (+.f64 alpha beta))))
(-.f64 (/.f64 (/.f64 (+.f64 (-.f64 beta alpha) (+.f64 beta beta)) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) 2) (/.f64 (/.f64 (-.f64 (+.f64 alpha alpha) (-.f64 beta alpha)) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) 2))
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 beta alpha) (+.f64 beta beta)) (.f64 2 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 alpha (-.f64 beta (+.f64 alpha alpha))) (.f64 2 (+.f64 alpha (+.f64 2 beta))))) 2)
(/.f64 (-.f64 (+.f64 (-.f64 beta alpha) (+.f64 beta beta)) (-.f64 (+.f64 alpha alpha) (-.f64 beta alpha))) (.f64 2 (.f64 2 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha alpha) (+.f64 (-.f64 beta alpha) (+.f64 beta beta)))) (*.f64 4 (+.f64 2 (+.f64 alpha beta))))
(-.f64 (/.f64 (/.f64 (+.f64 (-.f64 beta alpha) (+.f64 beta beta)) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 2 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))) (/.f64 (/.f64 (-.f64 (+.f64 alpha alpha) (-.f64 beta alpha)) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 2 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 beta alpha) (+.f64 beta beta)) (.f64 2 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 alpha (-.f64 beta (+.f64 alpha alpha))) (.f64 2 (+.f64 alpha (+.f64 2 beta))))) 2)
(/.f64 (-.f64 (+.f64 (-.f64 beta alpha) (+.f64 beta beta)) (-.f64 (+.f64 alpha alpha) (-.f64 beta alpha))) (.f64 2 (.f64 2 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha alpha) (+.f64 (-.f64 beta alpha) (+.f64 beta beta)))) (*.f64 4 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 1 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (.f64 -2 (-.f64 alpha beta)) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(.f64 (-.f64 alpha beta) (.f64 -2 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta)))))
(.f64 (-.f64 alpha beta) (.f64 1/2 (/.f64 -2 (+.f64 alpha (+.f64 2 beta)))))
(.f64 1/2 (/.f64 (.f64 (-.f64 alpha beta) -2) (+.f64 2 (+.f64 alpha beta))))
(.f64 (.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 2 (/.f64 0 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (.f64 (-.f64 beta alpha) 4) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 1/2 (.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (.f64 -2 (-.f64 alpha beta)))
(.f64 (-.f64 alpha beta) (.f64 -2 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta)))))
(.f64 (-.f64 alpha beta) (.f64 1/2 (/.f64 -2 (+.f64 alpha (+.f64 2 beta)))))
(.f64 1/2 (/.f64 (.f64 (-.f64 alpha beta) -2) (+.f64 2 (+.f64 alpha beta))))
(.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (*.f64 (-.f64 beta alpha) 4))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (.f64 (-.f64 beta alpha) 4) (+.f64 alpha (+.f64 beta 2))) 1/4)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (.f64 (-.f64 beta alpha) 4) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (+.f64 2 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))) 1/2)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (.f64 2 (.f64 (-.f64 beta alpha) 4)) (/.f64 1 (.f64 2 (*.f64 (+.f64 alpha (+.f64 beta 2)) 4))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 1 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 -2 (-.f64 alpha beta))) (/.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta))) (/.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (-.f64 alpha beta) -2)) (+.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (.f64 (-.f64 alpha beta) -2) (/.f64 1/2 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (+.f64 2 (+.f64 alpha beta)) (.f64 (.f64 (-.f64 alpha beta) -2) (/.f64 1/2 (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))))
(.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (-.f64 beta alpha) 4)) (/.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(neg.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))

eval1.4s (3.4%)

Compiler: Compiled 10195 to 7355 computations (27.9% saved)

prune231.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	317	10	327
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	317	11	328

Error

0.1b

Counts

328 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.2b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	17.2b	(/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 -1 (/.f64 (-.f64 beta alpha) (.f64 2 (+.f64 alpha (+.f64 beta 2)))))) 2)
▶	16.6b	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
	46.4b	(/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (.f64 1 (/.f64 2 alpha)) (.f64 2 (/.f64 beta alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
	31.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	47.6b	(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (.f64 -1 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))))))) 2)
✓	17.1b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
▶	18.7b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	61.5b	(/.f64 (+.f64 -1 1) 2)
▶	46.4b	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))) 2)
▶	41.5b	(/.f64 2 2)

Compiler

Compiled 479 to 371 computations (22.5% saved)

localize194.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
✓	0.0b	(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
✓	0.0b	(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
✓	1.9b	(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 73 to 47 computations (35.6% saved)

series13.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite409.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`rational_best-simplify-69`
738×	`rational_best-simplify-47`
596×	`rational_best-simplify-62`
478×	`rational_best-simplify-1`
438×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	112
1	88	112
2	230	94
3	851	94
4	5846	94

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) -2) (/.f64 (.f64 alpha -2) (+.f64 alpha (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (.f64 alpha -2) (+.f64 alpha (+.f64 beta 2))) (-.f64 (.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 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(+.f64 alpha (+.f64 beta 2))))))) (.f64 (+.f64 alpha (+.f64 beta 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))) (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))))))

simplify669.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1014×	`rational_best-simplify-52`
988×	`rational_best-simplify-108`
988×	`rational_best-simplify-48`
634×	`rational_best-simplify-51`
596×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	649	15125
1	1832	14181
2	5577	13859

Stop Event

1×	node limit

Counts

307 → 483

Calls

Call 1

Inputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (.f64 -1 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(/.f64 alpha (+.f64 beta 2))
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(*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta beta) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta beta) (-.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (neg.f64 beta) (/.f64 -1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 -2 (/.f64 (/.f64 beta -2) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) 2)
(.f64 (.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1/2)
(.f64 (.f64 beta 4) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)))
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(*.f64 (neg.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) -1)
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(*.f64 (neg.f64 (neg.f64 beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
(.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta beta)) (/.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
(.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 beta 4)) (/.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (.f64 beta (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta beta)))
(.f64 (/.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 beta 4)))
(pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(neg.f64 (neg.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))
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(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 0)
(+.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
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(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (/.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 (-.f64 beta (+.f64 alpha alpha)) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) 1))
(+.f64 1/2 (/.f64 (+.f64 1 (*.f64 -2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 2))
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(+.f64 (*.f64 -1/2 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2)) 2))
(+.f64 (/.f64 (-.f64 (+.f64 beta beta) alpha) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (+.f64 -1 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))
(+.f64 (-.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 2)))
(+.f64 (/.f64 (-.f64 beta (+.f64 alpha alpha)) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 (/.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) 1))
(+.f64 (/.f64 (-.f64 beta (+.f64 alpha alpha)) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 (/.f64 (/.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) 1) 0))
(+.f64 (+.f64 (/.f64 (/.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 (-.f64 beta (+.f64 alpha alpha)) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 (-.f64 beta (+.f64 alpha alpha)) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) 1) (/.f64 (/.f64 beta 2) (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1))
(+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 (/.f64 (/.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))
(+.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1/2)) (neg.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1/2)))
(+.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 -1/2 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (-.f64 (*.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (neg.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (-.f64 (-.f64 (*.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) -2) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)))
(+.f64 (/.f64 (+.f64 1 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2))
(+.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1) 2) (/.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) (+.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 2))
(+.f64 (-.f64 -1 (+.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 -1 (+.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (+.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) -1)
(.f64 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 1/2)
(.f64 1/2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))
(.f64 1/2 (-.f64 (/.f64 (.f64 beta 4) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 (.f64 2 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2))))
(.f64 1/2 (-.f64 (/.f64 (.f64 beta 4) (+.f64 alpha (+.f64 beta 2))) (+.f64 (-.f64 (.f64 2 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(.f64 (.f64 2 (-.f64 2 (*.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) 1/4)
(.f64 1/4 (.f64 2 (-.f64 2 (*.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(/.f64 (+.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) -1)
(/.f64 (-.f64 2 (*.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 2)
(/.f64 (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))) 8)
(/.f64 (+.f64 (-.f64 (.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) -2) (/.f64 (.f64 alpha -2) (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (+.f64 (/.f64 (.f64 alpha -2) (+.f64 alpha (+.f64 beta 2))) (-.f64 (.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) -2)) 2)
(/.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 2 (*.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) (+.f64 alpha (+.f64 beta 2))) (/.f64 2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (/.f64 4 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (*.f64 2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) (*.f64 2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) (.f64 (+.f64 alpha (+.f64 beta 2)) 4))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))) (.f64 (+.f64 alpha (+.f64 beta 2)) 4))
(/.f64 (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))) (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) 4))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(neg.f64 (+.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))

Outputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (+.f64 (/.f64 alpha (+.f64 beta 2)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)))) -1)
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 beta 2)) (neg.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
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1
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2
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2
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(.f64 1/2 (+.f64 (-.f64 (/.f64 (.f64 beta 4) (+.f64 alpha (+.f64 beta 2))) (.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2))))) (-.f64 2 (.f64 alpha (/.f64 2 (+.f64 alpha (+.f64 beta 2)))))))
(.f64 (.f64 2 (-.f64 2 (*.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) 1/4)
(.f64 1/2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))
(.f64 1/2 (-.f64 2 (.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))))
(.f64 1/4 (.f64 2 (-.f64 2 (*.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))))
(.f64 1/2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))
(.f64 1/2 (-.f64 2 (.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))))
(/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 -1 (+.f64 2 (neg.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) -1)
(+.f64 -1 (+.f64 2 (neg.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 2 (*.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 2)
(/.f64 (-.f64 2 (*.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))) 2)
(/.f64 (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) 4)
(/.f64 (.f64 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 4) 8)
(/.f64 (.f64 4 (-.f64 2 (.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))) 8)
(/.f64 (+.f64 (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))) 8)
(/.f64 (.f64 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 4) 8)
(/.f64 (.f64 4 (-.f64 2 (.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))) 8)
(/.f64 (+.f64 (-.f64 (.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) -2) (/.f64 (.f64 alpha -2) (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (+.f64 (-.f64 (.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) -2) (/.f64 (.f64 alpha -2) (+.f64 alpha (+.f64 beta 2)))) 2)
(+.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (*.f64 alpha -2) (+.f64 alpha (+.f64 beta 2))) 2))
(/.f64 (+.f64 (/.f64 (.f64 alpha -2) (+.f64 alpha (+.f64 beta 2))) (-.f64 (.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) -2)) 2)
(/.f64 (+.f64 (-.f64 (.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) -2) (/.f64 (.f64 alpha -2) (+.f64 alpha (+.f64 beta 2)))) 2)
(+.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (*.f64 alpha -2) (+.f64 alpha (+.f64 beta 2))) 2))
(/.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) -1))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) -1))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (-.f64 2 (*.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) (+.f64 alpha (+.f64 beta 2))) (/.f64 2 (+.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 (-.f64 2 (*.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 2) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (-.f64 2 (*.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))) 2) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 (-.f64 2 (*.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 2) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (-.f64 2 (*.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))) 2) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 alpha (+.f64 beta 2))) (/.f64 4 (+.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 (.f64 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 4) 8) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (.f64 4 (-.f64 2 (.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))) 8) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (/.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (/.f64 (/.f64 (.f64 2 (-.f64 2 (.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))) 2) 2) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (+.f64 alpha (+.f64 beta 2)))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) -1))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (*.f64 2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) (*.f64 2 (+.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 (-.f64 2 (*.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 2) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (-.f64 2 (*.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))) 2) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))) (.f64 (+.f64 alpha (+.f64 beta 2)) 4))
(-.f64 (/.f64 (.f64 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 4) 8) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (.f64 4 (-.f64 2 (.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))) 8) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))) (.f64 (+.f64 alpha (+.f64 beta 2)) 4))
(-.f64 (/.f64 (.f64 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 4) 8) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (.f64 4 (-.f64 2 (.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))) 8) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (.f64 2 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))) (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) 4))
(-.f64 (/.f64 (.f64 (-.f64 2 (.f64 2 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 4) 8) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (.f64 4 (-.f64 2 (.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))) 8) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 -1 (+.f64 2 (neg.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(neg.f64 (+.f64 -1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))
(+.f64 -1 (+.f64 2 (neg.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))

localize5.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize49.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite255.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`rational_best-simplify-51`
1026×	`rational_best-simplify-64`
974×	`rational_best-simplify-57`
782×	`rational_best-4`
782×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	42	13
2	105	13
3	344	13
4	1831	13

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 beta 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (/.f64 beta (+.f64 beta (-.f64 beta -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (*.f64 (-.f64 -2 beta) -4)) (/.f64 (*.f64 beta 3) (*.f64 (-.f64 -2 beta) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 beta 3) (*.f64 (-.f64 -2 beta) -4)) (/.f64 beta (*.f64 (-.f64 -2 beta) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) -1) (neg.f64 (+.f64 1 (/.f64 beta (*.f64 2 (-.f64 -2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (+.f64 -1 (/.f64 beta (*.f64 2 (-.f64 -2 beta))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (+.f64 beta (-.f64 beta -4)))) (/.f64 beta (*.f64 2 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (*.f64 (-.f64 -2 beta) -4))) (neg.f64 (/.f64 (*.f64 beta 3) (*.f64 (-.f64 -2 beta) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (*.f64 beta (/.f64 2 (+.f64 beta 2))) (*.f64 beta (/.f64 2 (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 beta (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (/.f64 beta (*.f64 2 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (-.f64 -2 beta)) (*.f64 -2 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (*.f64 2 (-.f64 -2 beta))) (-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (*.f64 beta (/.f64 2 (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 beta 3) (*.f64 (-.f64 -2 beta) -4)) (/.f64 (/.f64 beta (-.f64 -2 beta)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 beta 3) (*.f64 (-.f64 -2 beta) -4)) (+.f64 (/.f64 (/.f64 beta (-.f64 -2 beta)) 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 beta (-.f64 -2 beta)) 4) (-.f64 (/.f64 (*.f64 beta 3) (*.f64 (-.f64 -2 beta) -4)) (*.f64 beta (/.f64 2 (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 -1 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 2 (/.f64 1/2 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 beta (+.f64 beta (-.f64 beta -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 beta (/.f64 1/2 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 beta (+.f64 beta 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 beta beta) (/.f64 2 (*.f64 (+.f64 beta 2) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 2) (/.f64 beta (*.f64 (+.f64 beta 2) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta beta) (/.f64 1/2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta beta) (*.f64 1/2 (/.f64 -1 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta beta) (*.f64 2 (/.f64 2 (*.f64 (+.f64 beta 2) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta beta) (*.f64 (/.f64 -1 (-.f64 -2 beta)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta beta) (-.f64 (/.f64 -1 (-.f64 -2 beta)) (/.f64 1/2 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (*.f64 -2 (/.f64 1/2 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 beta (*.f64 2 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 beta (/.f64 2 (+.f64 beta 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 beta 4) (/.f64 2 (*.f64 (+.f64 beta 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 beta 4) (*.f64 (/.f64 1/2 (+.f64 beta 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 beta 4) (*.f64 1/2 (/.f64 1/2 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 beta 4) (-.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 2 (*.f64 (+.f64 beta 2) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 beta (/.f64 2 (*.f64 (+.f64 beta 2) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 beta (/.f64 2 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (/.f64 (*.f64 beta 4) (+.f64 beta 2)) (*.f64 beta (/.f64 2 (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 -2 beta)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 -2 beta)) (-.f64 (+.f64 beta beta) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 beta 2)) (-.f64 (*.f64 beta 4) (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 beta 2) 8)) (*.f64 beta 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 beta 2) 8)) (*.f64 (*.f64 2 (*.f64 beta 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 beta 2) 8)) (-.f64 (*.f64 2 (*.f64 beta 4)) (*.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 beta 4) (+.f64 beta 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 beta 4)) (/.f64 1/2 (*.f64 (-.f64 -2 beta) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 beta 4)) (*.f64 (/.f64 2 (*.f64 (+.f64 beta 2) 8)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 beta 4)) (-.f64 (/.f64 2 (*.f64 (+.f64 beta 2) 8)) (/.f64 1/2 (*.f64 (-.f64 -2 beta) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 beta -2) (/.f64 -1 (+.f64 beta (-.f64 beta -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (+.f64 beta 2))) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (+.f64 beta 2))) (/.f64 1 (/.f64 -1 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (/.f64 beta 2))) (/.f64 1 (/.f64 2 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 beta 4) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 beta 4) (/.f64 -1 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -2 beta)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (-.f64 -2 beta) -4)) (*.f64 2 (*.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1 (-.f64 -2 beta))) (/.f64 beta (*.f64 (+.f64 beta 2) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (+.f64 beta 2))) (/.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (/.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 beta (+.f64 beta 2)) (/.f64 (/.f64 -1 (-.f64 -2 beta)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 beta (+.f64 beta (-.f64 beta -4))) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 2) (*.f64 beta 4)) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta (-.f64 beta -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (-.f64 -2 beta)) (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta 2)) (*.f64 beta (+.f64 beta (-.f64 beta -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta (-.f64 beta -4))) (*.f64 (+.f64 beta 2) (*.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (-.f64 -2 beta)))))))

simplify469.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1464×	`rational_best-simplify-57`
1420×	`rational_best-simplify-51`
1208×	`rational_best-simplify-50`
864×	`rational_best-simplify-55`
668×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	2332
1	472	2284
2	1268	2092
3	5446	2072

Stop Event

1×	node limit

Counts

88 → 134

Calls

Call 1

Inputs
(*.f64 1/2 beta)
(+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (.f64 -1/16 (pow.f64 beta 4)) (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(+.f64 0 (/.f64 beta (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (/.f64 beta (+.f64 beta (-.f64 beta -4))))
(+.f64 (*.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (-.f64 -2 beta)))
(+.f64 (/.f64 beta (.f64 (-.f64 -2 beta) -4)) (/.f64 (.f64 beta 3) (*.f64 (-.f64 -2 beta) -4)))
(+.f64 (/.f64 (.f64 beta 3) (.f64 (-.f64 -2 beta) -4)) (/.f64 beta (*.f64 (-.f64 -2 beta) -4)))
(+.f64 (-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) -1) (neg.f64 (+.f64 1 (/.f64 beta (*.f64 2 (-.f64 -2 beta))))))
(+.f64 (-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (+.f64 -1 (/.f64 beta (*.f64 2 (-.f64 -2 beta))))) -1)
(+.f64 (-.f64 (.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (+.f64 beta (-.f64 beta -4)))) (/.f64 beta (.f64 2 (-.f64 -2 beta))))
(+.f64 (-.f64 (.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (.f64 (-.f64 -2 beta) -4))) (neg.f64 (/.f64 (.f64 beta 3) (.f64 (-.f64 -2 beta) -4))))
(-.f64 (/.f64 beta (+.f64 beta 2)) 0)
(-.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (.f64 beta (/.f64 2 (+.f64 beta 2))) (.f64 beta (/.f64 2 (+.f64 beta 2)))))
(-.f64 0 (/.f64 beta (-.f64 -2 beta)))
(-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (/.f64 beta (*.f64 2 (-.f64 -2 beta))))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(-.f64 (/.f64 beta (-.f64 -2 beta)) (*.f64 -2 (/.f64 beta (+.f64 beta 2))))
(-.f64 (/.f64 beta (.f64 2 (-.f64 -2 beta))) (-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (.f64 beta (/.f64 2 (+.f64 beta 2)))))
(-.f64 (/.f64 (.f64 beta 3) (.f64 (-.f64 -2 beta) -4)) (/.f64 (/.f64 beta (-.f64 -2 beta)) 4))
(-.f64 (/.f64 (.f64 beta 3) (.f64 (-.f64 -2 beta) -4)) (+.f64 (/.f64 (/.f64 beta (-.f64 -2 beta)) 4) 0))
(-.f64 (/.f64 (/.f64 beta (-.f64 -2 beta)) 4) (-.f64 (/.f64 (.f64 beta 3) (.f64 (-.f64 -2 beta) -4)) (*.f64 beta (/.f64 2 (+.f64 beta 2)))))
(*.f64 beta (/.f64 -1 (-.f64 -2 beta)))
(.f64 beta (.f64 2 (/.f64 1/2 (+.f64 beta 2))))
(*.f64 2 (/.f64 beta (+.f64 beta (-.f64 beta -4))))
(.f64 2 (.f64 beta (/.f64 1/2 (+.f64 beta 2))))
(.f64 2 (.f64 (/.f64 beta (+.f64 beta 2)) 1/2))
(.f64 2 (.f64 (+.f64 beta beta) (/.f64 2 (*.f64 (+.f64 beta 2) 8))))
(.f64 (+.f64 beta 2) (/.f64 beta (.f64 (+.f64 beta 2) (+.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (+.f64 beta beta) (/.f64 1/2 (+.f64 beta 2)))
(.f64 (+.f64 beta beta) (.f64 1/2 (/.f64 -1 (-.f64 -2 beta))))
(.f64 (+.f64 beta beta) (.f64 2 (/.f64 2 (*.f64 (+.f64 beta 2) 8))))
(.f64 (+.f64 beta beta) (.f64 (/.f64 -1 (-.f64 -2 beta)) 1/2))
(*.f64 (+.f64 beta beta) (-.f64 (/.f64 -1 (-.f64 -2 beta)) (/.f64 1/2 (+.f64 beta 2))))
(*.f64 (neg.f64 beta) (/.f64 1 (-.f64 -2 beta)))
(.f64 (neg.f64 beta) (.f64 -2 (/.f64 1/2 (+.f64 beta 2))))
(.f64 -2 (/.f64 beta (.f64 2 (-.f64 -2 beta))))
(*.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) 2)
(.f64 (.f64 beta (/.f64 2 (+.f64 beta 2))) 1/2)
(.f64 (.f64 beta 4) (/.f64 2 (*.f64 (+.f64 beta 2) 8)))
(.f64 (.f64 beta 4) (*.f64 (/.f64 1/2 (+.f64 beta 2)) 1/2))
(.f64 (.f64 beta 4) (*.f64 1/2 (/.f64 1/2 (+.f64 beta 2))))
(.f64 (.f64 beta 4) (-.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 2 (*.f64 (+.f64 beta 2) 8))))
(*.f64 -1 (/.f64 beta (-.f64 -2 beta)))
(.f64 4 (.f64 beta (/.f64 2 (*.f64 (+.f64 beta 2) 8))))
(.f64 1/2 (.f64 beta (/.f64 2 (+.f64 beta 2))))
(.f64 1/2 (-.f64 (/.f64 (.f64 beta 4) (+.f64 beta 2)) (*.f64 beta (/.f64 2 (+.f64 beta 2)))))
(*.f64 (/.f64 -1 (-.f64 -2 beta)) beta)
(*.f64 (/.f64 -1 (-.f64 -2 beta)) (-.f64 (+.f64 beta beta) beta))
(*.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta beta))
(.f64 (/.f64 1/2 (+.f64 beta 2)) (-.f64 (.f64 beta 4) (+.f64 beta beta)))
(.f64 (/.f64 2 (.f64 (+.f64 beta 2) 8)) (*.f64 beta 4))
(.f64 (/.f64 2 (.f64 (+.f64 beta 2) 8)) (.f64 (.f64 2 (*.f64 beta 4)) 1/2))
(.f64 (/.f64 2 (.f64 (+.f64 beta 2) 8)) (-.f64 (.f64 2 (.f64 beta 4)) (*.f64 beta 4)))
(.f64 (/.f64 (.f64 beta 4) (+.f64 beta 2)) 1/4)
(.f64 (.f64 2 (.f64 beta 4)) (/.f64 1/2 (.f64 (-.f64 -2 beta) -4)))
(.f64 (.f64 2 (.f64 beta 4)) (.f64 (/.f64 2 (*.f64 (+.f64 beta 2) 8)) 1/2))
(.f64 (.f64 2 (.f64 beta 4)) (-.f64 (/.f64 2 (.f64 (+.f64 beta 2) 8)) (/.f64 1/2 (*.f64 (-.f64 -2 beta) -4))))
(.f64 (.f64 beta -2) (/.f64 -1 (+.f64 beta (-.f64 beta -4))))
(.f64 (/.f64 beta (.f64 (+.f64 beta 2) (+.f64 beta 2))) (+.f64 beta 2))
(.f64 (/.f64 beta (.f64 (+.f64 beta 2) (+.f64 beta 2))) (/.f64 1 (/.f64 -1 (-.f64 -2 beta))))
(*.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (/.f64 beta 2))) (/.f64 1 (/.f64 2 (+.f64 beta 2))))
(.f64 1/4 (/.f64 (.f64 beta 4) (+.f64 beta 2)))
(.f64 1/4 (.f64 (*.f64 beta 4) (/.f64 -1 (-.f64 -2 beta))))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (neg.f64 beta))
(.f64 (/.f64 1/2 (.f64 (-.f64 -2 beta) -4)) (.f64 2 (.f64 beta 4)))
(.f64 (/.f64 1 (/.f64 -1 (-.f64 -2 beta))) (/.f64 beta (.f64 (+.f64 beta 2) (+.f64 beta 2))))
(*.f64 (/.f64 1 (/.f64 2 (+.f64 beta 2))) (/.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (/.f64 beta 2))))
(.f64 (.f64 beta (+.f64 beta 2)) (/.f64 (/.f64 -1 (-.f64 -2 beta)) (+.f64 beta 2)))
(.f64 (.f64 beta (+.f64 beta (-.f64 beta -4))) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta 2)))
(.f64 (.f64 (+.f64 beta 2) (*.f64 beta 4)) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta (-.f64 beta -4))))
(.f64 (/.f64 (/.f64 -1 (-.f64 -2 beta)) (+.f64 beta 2)) (.f64 beta (+.f64 beta 2)))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta 2)) (.f64 beta (+.f64 beta (-.f64 beta -4))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta (-.f64 beta -4))) (.f64 (+.f64 beta 2) (*.f64 beta 4)))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(neg.f64 (/.f64 beta (-.f64 -2 beta)))

Outputs
(*.f64 1/2 beta)
(+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta)))
(+.f64 (.f64 -1/16 (pow.f64 beta 4)) (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/8 (pow.f64 beta 3)))))
(+.f64 (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/8 (pow.f64 beta 3))) (+.f64 (.f64 1/2 beta) (.f64 -1/16 (pow.f64 beta 4))))
(+.f64 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2))) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (.f64 -1/16 (pow.f64 beta 4))))
(+.f64 (.f64 1/2 beta) (+.f64 (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/8 (pow.f64 beta 3))) (.f64 -1/16 (pow.f64 beta 4))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 1 beta)) -1))
(-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) -1))
(-.f64 1 (-.f64 (/.f64 2 beta) (/.f64 4 (pow.f64 beta 2))))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 1 (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (+.f64 (/.f64 8 (pow.f64 beta 3)) -1) (/.f64 2 beta)))
(-.f64 1 (-.f64 (/.f64 8 (pow.f64 beta 3)) (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 1 beta)) -1))
(-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) -1))
(-.f64 1 (-.f64 (/.f64 2 beta) (/.f64 4 (pow.f64 beta 2))))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 1 (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (+.f64 (/.f64 8 (pow.f64 beta 3)) -1) (/.f64 2 beta)))
(-.f64 1 (-.f64 (/.f64 8 (pow.f64 beta 3)) (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(+.f64 0 (/.f64 beta (+.f64 beta 2)))
(/.f64 beta (+.f64 beta 2))
(+.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (/.f64 beta (+.f64 beta (-.f64 beta -4))))
(/.f64 (+.f64 beta beta) (+.f64 beta (-.f64 beta -4)))
(+.f64 (*.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (-.f64 -2 beta)))
(/.f64 beta (+.f64 beta 2))
(+.f64 (/.f64 beta (.f64 (-.f64 -2 beta) -4)) (/.f64 (.f64 beta 3) (*.f64 (-.f64 -2 beta) -4)))
(/.f64 beta (+.f64 beta 2))
(+.f64 (/.f64 (.f64 beta 3) (.f64 (-.f64 -2 beta) -4)) (/.f64 beta (*.f64 (-.f64 -2 beta) -4)))
(/.f64 beta (+.f64 beta 2))
(+.f64 (-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) -1) (neg.f64 (+.f64 1 (/.f64 beta (*.f64 2 (-.f64 -2 beta))))))
(-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (+.f64 -1 (+.f64 1 (/.f64 beta (*.f64 2 (-.f64 -2 beta))))))
(-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (+.f64 (/.f64 (/.f64 beta 2) (-.f64 -2 beta)) 0))
(-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (/.f64 beta (*.f64 2 (-.f64 -2 beta))))
(+.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (*.f64 1/2 (/.f64 beta (+.f64 beta 2))))
(+.f64 (-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (+.f64 -1 (/.f64 beta (*.f64 2 (-.f64 -2 beta))))) -1)
(-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (+.f64 -1 (+.f64 1 (/.f64 beta (*.f64 2 (-.f64 -2 beta))))))
(-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (+.f64 (/.f64 (/.f64 beta 2) (-.f64 -2 beta)) 0))
(-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (/.f64 beta (*.f64 2 (-.f64 -2 beta))))
(+.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (*.f64 1/2 (/.f64 beta (+.f64 beta 2))))
(+.f64 (-.f64 (.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (+.f64 beta (-.f64 beta -4)))) (/.f64 beta (.f64 2 (-.f64 -2 beta))))
(+.f64 (/.f64 beta (.f64 2 (-.f64 -2 beta))) (-.f64 (.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (+.f64 beta (-.f64 beta -4)))))
(+.f64 (/.f64 (/.f64 beta 2) (-.f64 -2 beta)) (-.f64 (*.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (+.f64 beta (-.f64 beta -4)))))
(-.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta (-.f64 beta -4)))) (/.f64 beta (*.f64 2 (-.f64 -2 beta))))
(+.f64 (-.f64 (.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (.f64 (-.f64 -2 beta) -4))) (neg.f64 (/.f64 (.f64 beta 3) (.f64 (-.f64 -2 beta) -4))))
(/.f64 beta (+.f64 beta 2))
(-.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(-.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (.f64 beta (/.f64 2 (+.f64 beta 2))) (.f64 beta (/.f64 2 (+.f64 beta 2)))))
(/.f64 beta (+.f64 beta 2))
(-.f64 0 (/.f64 beta (-.f64 -2 beta)))
(/.f64 beta (+.f64 beta 2))
(-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (/.f64 beta (*.f64 2 (-.f64 -2 beta))))
(-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (+.f64 -1 (+.f64 1 (/.f64 beta (*.f64 2 (-.f64 -2 beta))))))
(-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (+.f64 (/.f64 (/.f64 beta 2) (-.f64 -2 beta)) 0))
(+.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (*.f64 1/2 (/.f64 beta (+.f64 beta 2))))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(/.f64 beta (+.f64 beta 2))
(-.f64 (/.f64 beta (-.f64 -2 beta)) (*.f64 -2 (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(-.f64 (/.f64 beta (.f64 2 (-.f64 -2 beta))) (-.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) (.f64 beta (/.f64 2 (+.f64 beta 2)))))
(+.f64 (/.f64 beta (.f64 2 (-.f64 -2 beta))) (-.f64 (.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (+.f64 beta (-.f64 beta -4)))))
(+.f64 (/.f64 (/.f64 beta 2) (-.f64 -2 beta)) (-.f64 (*.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 beta (+.f64 beta (-.f64 beta -4)))))
(-.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta (-.f64 beta -4)))) (/.f64 beta (*.f64 2 (-.f64 -2 beta))))
(-.f64 (/.f64 (.f64 beta 3) (.f64 (-.f64 -2 beta) -4)) (/.f64 (/.f64 beta (-.f64 -2 beta)) 4))
(-.f64 (/.f64 (/.f64 (*.f64 beta 3) (-.f64 -2 beta)) -4) (/.f64 (/.f64 beta 4) (-.f64 -2 beta)))
(-.f64 (/.f64 (.f64 beta 6) (.f64 (-.f64 -2 beta) -8)) (/.f64 beta (*.f64 4 (-.f64 -2 beta))))
(/.f64 (-.f64 (/.f64 (*.f64 beta 6) -8) (/.f64 beta 4)) (-.f64 -2 beta))
(/.f64 (-.f64 (/.f64 (*.f64 beta 3) -4) (/.f64 beta 4)) (-.f64 -2 beta))
(-.f64 (/.f64 (.f64 beta 3) (.f64 (-.f64 -2 beta) -4)) (+.f64 (/.f64 (/.f64 beta (-.f64 -2 beta)) 4) 0))
(-.f64 (/.f64 (/.f64 (*.f64 beta 3) (-.f64 -2 beta)) -4) (/.f64 (/.f64 beta 4) (-.f64 -2 beta)))
(-.f64 (/.f64 (.f64 beta 6) (.f64 (-.f64 -2 beta) -8)) (/.f64 beta (*.f64 4 (-.f64 -2 beta))))
(/.f64 (-.f64 (/.f64 (*.f64 beta 6) -8) (/.f64 beta 4)) (-.f64 -2 beta))
(/.f64 (-.f64 (/.f64 (*.f64 beta 3) -4) (/.f64 beta 4)) (-.f64 -2 beta))
(-.f64 (/.f64 (/.f64 beta (-.f64 -2 beta)) 4) (-.f64 (/.f64 (.f64 beta 3) (.f64 (-.f64 -2 beta) -4)) (*.f64 beta (/.f64 2 (+.f64 beta 2)))))
(-.f64 (.f64 beta (/.f64 2 (+.f64 beta 2))) (-.f64 (/.f64 (/.f64 (.f64 beta 3) (-.f64 -2 beta)) -4) (/.f64 (/.f64 beta 4) (-.f64 -2 beta))))
(-.f64 (.f64 beta (/.f64 2 (+.f64 beta 2))) (-.f64 (/.f64 (.f64 beta 6) (.f64 (-.f64 -2 beta) -8)) (/.f64 beta (.f64 4 (-.f64 -2 beta)))))
(-.f64 (.f64 beta (/.f64 2 (+.f64 beta 2))) (/.f64 (-.f64 (/.f64 (.f64 beta 6) -8) (/.f64 beta 4)) (-.f64 -2 beta)))
(-.f64 (.f64 beta (/.f64 -2 (-.f64 -2 beta))) (/.f64 (-.f64 (/.f64 (.f64 beta 3) -4) (/.f64 beta 4)) (-.f64 -2 beta)))
(*.f64 beta (/.f64 -1 (-.f64 -2 beta)))
(/.f64 beta (+.f64 beta 2))
(.f64 beta (.f64 2 (/.f64 1/2 (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(*.f64 2 (/.f64 beta (+.f64 beta (-.f64 beta -4))))
(*.f64 beta (/.f64 2 (+.f64 beta (-.f64 beta -4))))
(.f64 2 (.f64 beta (/.f64 1/2 (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(.f64 2 (.f64 (/.f64 beta (+.f64 beta 2)) 1/2))
(/.f64 beta (+.f64 beta 2))
(.f64 2 (.f64 (+.f64 beta beta) (/.f64 2 (*.f64 (+.f64 beta 2) 8))))
(/.f64 beta (+.f64 beta 2))
(.f64 (+.f64 beta 2) (/.f64 beta (.f64 (+.f64 beta 2) (+.f64 beta 2))))
(.f64 beta (/.f64 (+.f64 beta 2) (.f64 (+.f64 beta 2) (+.f64 beta 2))))
(neg.f64 (+.f64 (/.f64 beta (-.f64 -2 beta)) (/.f64 0 (+.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(/.f64 beta (+.f64 beta 2))
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(/.f64 beta (+.f64 beta 2))
(*.f64 (+.f64 beta beta) (/.f64 1/2 (+.f64 beta 2)))
(/.f64 beta (+.f64 beta 2))
(.f64 (+.f64 beta beta) (.f64 1/2 (/.f64 -1 (-.f64 -2 beta))))
(/.f64 beta (+.f64 beta 2))
(.f64 (+.f64 beta beta) (.f64 2 (/.f64 2 (*.f64 (+.f64 beta 2) 8))))
(/.f64 beta (+.f64 beta 2))
(.f64 (+.f64 beta beta) (.f64 (/.f64 -1 (-.f64 -2 beta)) 1/2))
(/.f64 beta (+.f64 beta 2))
(*.f64 (+.f64 beta beta) (-.f64 (/.f64 -1 (-.f64 -2 beta)) (/.f64 1/2 (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(*.f64 (neg.f64 beta) (/.f64 1 (-.f64 -2 beta)))
(/.f64 beta (+.f64 beta 2))
(.f64 (neg.f64 beta) (.f64 -2 (/.f64 1/2 (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(.f64 -2 (/.f64 beta (.f64 2 (-.f64 -2 beta))))
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 beta (+.f64 beta (-.f64 beta -4))) 2)
(*.f64 beta (/.f64 2 (+.f64 beta (-.f64 beta -4))))
(.f64 (.f64 beta (/.f64 2 (+.f64 beta 2))) 1/2)
(/.f64 beta (+.f64 beta 2))
(.f64 (.f64 beta 4) (/.f64 2 (*.f64 (+.f64 beta 2) 8)))
(/.f64 beta (+.f64 beta 2))
(.f64 (.f64 beta 4) (*.f64 (/.f64 1/2 (+.f64 beta 2)) 1/2))
(/.f64 beta (+.f64 beta 2))
(.f64 (.f64 beta 4) (*.f64 1/2 (/.f64 1/2 (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(.f64 (.f64 beta 4) (-.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 2 (*.f64 (+.f64 beta 2) 8))))
(/.f64 beta (+.f64 beta 2))
(*.f64 -1 (/.f64 beta (-.f64 -2 beta)))
(/.f64 beta (+.f64 beta 2))
(.f64 4 (.f64 beta (/.f64 2 (*.f64 (+.f64 beta 2) 8))))
(/.f64 beta (+.f64 beta 2))
(.f64 1/2 (.f64 beta (/.f64 2 (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(.f64 1/2 (-.f64 (/.f64 (.f64 beta 4) (+.f64 beta 2)) (*.f64 beta (/.f64 2 (+.f64 beta 2)))))
(.f64 1/2 (/.f64 (+.f64 (.f64 beta 3) (neg.f64 beta)) (+.f64 beta 2)))
(*.f64 (/.f64 -1 (-.f64 -2 beta)) beta)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 -1 (-.f64 -2 beta)) (-.f64 (+.f64 beta beta) beta))
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta beta))
(/.f64 beta (+.f64 beta 2))
(.f64 (/.f64 1/2 (+.f64 beta 2)) (-.f64 (.f64 beta 4) (+.f64 beta beta)))
(.f64 1/2 (-.f64 (/.f64 (.f64 beta 4) (+.f64 beta 2)) (*.f64 beta (/.f64 2 (+.f64 beta 2)))))
(.f64 1/2 (/.f64 (+.f64 (.f64 beta 3) (neg.f64 beta)) (+.f64 beta 2)))
(.f64 (/.f64 2 (.f64 (+.f64 beta 2) 8)) (*.f64 beta 4))
(/.f64 beta (+.f64 beta 2))
(.f64 (/.f64 2 (.f64 (+.f64 beta 2) 8)) (.f64 (.f64 2 (*.f64 beta 4)) 1/2))
(/.f64 beta (+.f64 beta 2))
(.f64 (/.f64 2 (.f64 (+.f64 beta 2) 8)) (-.f64 (.f64 2 (.f64 beta 4)) (*.f64 beta 4)))
(/.f64 beta (+.f64 beta 2))
(.f64 (/.f64 (.f64 beta 4) (+.f64 beta 2)) 1/4)
(/.f64 beta (+.f64 beta 2))
(.f64 (.f64 2 (.f64 beta 4)) (/.f64 1/2 (.f64 (-.f64 -2 beta) -4)))
(/.f64 beta (+.f64 beta 2))
(.f64 (.f64 2 (.f64 beta 4)) (.f64 (/.f64 2 (*.f64 (+.f64 beta 2) 8)) 1/2))
(/.f64 beta (+.f64 beta 2))
(.f64 (.f64 2 (.f64 beta 4)) (-.f64 (/.f64 2 (.f64 (+.f64 beta 2) 8)) (/.f64 1/2 (*.f64 (-.f64 -2 beta) -4))))
(.f64 (.f64 2 (.f64 beta 4)) (-.f64 (/.f64 2 (.f64 8 (+.f64 beta 2))) (/.f64 1/2 (*.f64 -4 (-.f64 -2 beta)))))
(.f64 (.f64 beta 8) (-.f64 (/.f64 1/4 (+.f64 beta 2)) (/.f64 -1/8 (-.f64 -2 beta))))
(.f64 (.f64 beta -2) (/.f64 -1 (+.f64 beta (-.f64 beta -4))))
(.f64 -1 (/.f64 (.f64 beta -2) (+.f64 beta (-.f64 beta -4))))
(.f64 beta (.f64 -2 (/.f64 -1 (+.f64 beta (-.f64 beta -4)))))
(neg.f64 (/.f64 (*.f64 beta -2) (+.f64 beta (-.f64 beta -4))))
(.f64 (/.f64 beta (.f64 (+.f64 beta 2) (+.f64 beta 2))) (+.f64 beta 2))
(.f64 (+.f64 beta 2) (/.f64 beta (.f64 (+.f64 beta 2) (+.f64 beta 2))))
(.f64 beta (/.f64 (+.f64 beta 2) (.f64 (+.f64 beta 2) (+.f64 beta 2))))
(neg.f64 (+.f64 (/.f64 beta (-.f64 -2 beta)) (/.f64 0 (+.f64 beta 2))))
(.f64 (/.f64 beta (.f64 (+.f64 beta 2) (+.f64 beta 2))) (/.f64 1 (/.f64 -1 (-.f64 -2 beta))))
(.f64 1 (/.f64 (/.f64 beta (.f64 (+.f64 beta 2) (+.f64 beta 2))) (/.f64 -1 (-.f64 -2 beta))))
(.f64 beta (/.f64 (/.f64 1 (/.f64 -1 (-.f64 -2 beta))) (.f64 (+.f64 beta 2) (+.f64 beta 2))))
(/.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 2))))
(/.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (/.f64 -1 (-.f64 -2 beta))))
(*.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (/.f64 beta 2))) (/.f64 1 (/.f64 2 (+.f64 beta 2))))
(*.f64 1 (/.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (/.f64 beta 2))) (/.f64 2 (+.f64 beta 2))))
(*.f64 1 (-.f64 (/.f64 (/.f64 beta (+.f64 1 (/.f64 beta 2))) 2) (/.f64 0 (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 beta 2) (+.f64 1 (/.f64 beta 2))) (/.f64 0 (+.f64 beta 2)))
(.f64 1/4 (/.f64 (.f64 beta 4) (+.f64 beta 2)))
(/.f64 beta (+.f64 beta 2))
(.f64 1/4 (.f64 (*.f64 beta 4) (/.f64 -1 (-.f64 -2 beta))))
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (neg.f64 beta))
(/.f64 beta (+.f64 beta 2))
(.f64 (/.f64 1/2 (.f64 (-.f64 -2 beta) -4)) (.f64 2 (.f64 beta 4)))
(/.f64 beta (+.f64 beta 2))
(.f64 (/.f64 1 (/.f64 -1 (-.f64 -2 beta))) (/.f64 beta (.f64 (+.f64 beta 2) (+.f64 beta 2))))
(.f64 1 (/.f64 (/.f64 beta (.f64 (+.f64 beta 2) (+.f64 beta 2))) (/.f64 -1 (-.f64 -2 beta))))
(.f64 beta (/.f64 (/.f64 1 (/.f64 -1 (-.f64 -2 beta))) (.f64 (+.f64 beta 2) (+.f64 beta 2))))
(/.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 2))))
(/.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (/.f64 -1 (-.f64 -2 beta))))
(*.f64 (/.f64 1 (/.f64 2 (+.f64 beta 2))) (/.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (/.f64 beta 2))))
(*.f64 1 (/.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (/.f64 beta 2))) (/.f64 2 (+.f64 beta 2))))
(*.f64 1 (-.f64 (/.f64 (/.f64 beta (+.f64 1 (/.f64 beta 2))) 2) (/.f64 0 (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 beta 2) (+.f64 1 (/.f64 beta 2))) (/.f64 0 (+.f64 beta 2)))
(.f64 (.f64 beta (+.f64 beta 2)) (/.f64 (/.f64 -1 (-.f64 -2 beta)) (+.f64 beta 2)))
(.f64 (+.f64 beta 2) (/.f64 beta (.f64 (+.f64 beta 2) (+.f64 beta 2))))
(.f64 beta (/.f64 (+.f64 beta 2) (.f64 (+.f64 beta 2) (+.f64 beta 2))))
(neg.f64 (+.f64 (/.f64 beta (-.f64 -2 beta)) (/.f64 0 (+.f64 beta 2))))
(.f64 (.f64 beta (+.f64 beta (-.f64 beta -4))) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta 2)))
(.f64 (+.f64 beta (-.f64 beta -4)) (.f64 beta (/.f64 1/2 (*.f64 (+.f64 beta 2) (+.f64 beta 2)))))
(.f64 1/2 (/.f64 (.f64 beta (+.f64 beta (-.f64 beta -4))) (*.f64 (+.f64 beta 2) (+.f64 beta 2))))
(.f64 1/2 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 (+.f64 beta (-.f64 beta -4)) (+.f64 beta 2))))
(.f64 (.f64 (+.f64 beta 2) (*.f64 beta 4)) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta (-.f64 beta -4))))
(.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (.f64 (+.f64 beta 2) (*.f64 beta 4)) (+.f64 beta (-.f64 beta -4))))
(.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (.f64 beta (*.f64 (+.f64 beta 2) 4)) (+.f64 beta (-.f64 beta -4))))
(.f64 (/.f64 (+.f64 beta 2) (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 beta -4)))) (+.f64 beta beta))
(.f64 (/.f64 (/.f64 -1 (-.f64 -2 beta)) (+.f64 beta 2)) (.f64 beta (+.f64 beta 2)))
(.f64 (+.f64 beta 2) (/.f64 beta (.f64 (+.f64 beta 2) (+.f64 beta 2))))
(.f64 beta (/.f64 (+.f64 beta 2) (.f64 (+.f64 beta 2) (+.f64 beta 2))))
(neg.f64 (+.f64 (/.f64 beta (-.f64 -2 beta)) (/.f64 0 (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta 2)) (.f64 beta (+.f64 beta (-.f64 beta -4))))
(.f64 (+.f64 beta (-.f64 beta -4)) (.f64 beta (/.f64 1/2 (*.f64 (+.f64 beta 2) (+.f64 beta 2)))))
(.f64 1/2 (/.f64 (.f64 beta (+.f64 beta (-.f64 beta -4))) (*.f64 (+.f64 beta 2) (+.f64 beta 2))))
(.f64 1/2 (.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 (+.f64 beta (-.f64 beta -4)) (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta (-.f64 beta -4))) (.f64 (+.f64 beta 2) (*.f64 beta 4)))
(.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (.f64 (+.f64 beta 2) (*.f64 beta 4)) (+.f64 beta (-.f64 beta -4))))
(.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (.f64 beta (*.f64 (+.f64 beta 2) 4)) (+.f64 beta (-.f64 beta -4))))
(.f64 (/.f64 (+.f64 beta 2) (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 beta -4)))) (+.f64 beta beta))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(/.f64 beta (+.f64 beta 2))
(neg.f64 (/.f64 beta (-.f64 -2 beta)))
(/.f64 beta (+.f64 beta 2))

localize33.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite275.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1148×	`rational_best-4`
1148×	`rational_best-2`
1148×	`rational_best-3`
1148×	`rational_best-1`
1148×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	62	19
2	163	19
3	515	19
4	2801	19

Stop Event

1×	node limit

Counts

1 → 101

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (/.f64 beta (/.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta (+.f64 beta 1)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta beta) 3) (+.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 (*.f64 beta 4) 4)) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta (+.f64 beta 1)) alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1/2 alpha)) (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) 2) (/.f64 (*.f64 3/2 (*.f64 2 (/.f64 (+.f64 beta 1) alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) (*.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) (+.f64 (*.f64 beta 4) 4)) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha 4)) (/.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) 3) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (+.f64 beta beta) 3) (+.f64 alpha alpha)) (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3/2 (*.f64 2 (/.f64 (+.f64 beta 1) alpha))) 2) (/.f64 (/.f64 (+.f64 beta 1) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) 3) (*.f64 alpha 4)) (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (+.f64 beta beta) (+.f64 (*.f64 beta 4) 4)) (*.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 4) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 2 (+.f64 (*.f64 beta 4) 4)) (*.f64 alpha 4)) (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -2 (/.f64 (+.f64 beta 1) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 (/.f64 beta -1/2) alpha) (/.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 alpha) (/.f64 (/.f64 beta -1/2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (-.f64 -1 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 beta 4) 4) alpha) (*.f64 2 (/.f64 (+.f64 beta 1) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 beta 4) alpha) (+.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 beta 4) alpha) (+.f64 (+.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (+.f64 (/.f64 -1 alpha) (/.f64 (-.f64 -1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (/.f64 (+.f64 -2 (-.f64 -2 (+.f64 beta beta))) (+.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 -1 alpha) (/.f64 (-.f64 -1 beta) alpha)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 (-.f64 -2 (+.f64 beta beta))) (+.f64 alpha alpha)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (+.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta (+.f64 beta 1)) alpha) (/.f64 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (neg.f64 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 2 beta) alpha) (+.f64 (/.f64 (neg.f64 beta) alpha) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3/2 (*.f64 2 (/.f64 (+.f64 beta 1) alpha))) 2) (/.f64 (/.f64 (-.f64 -1 beta) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3/2 (*.f64 2 (/.f64 (+.f64 beta 1) alpha))) 2) (+.f64 (/.f64 (/.f64 (-.f64 -1 beta) alpha) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) 3) (*.f64 alpha 4)) (/.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) 3) (*.f64 alpha 4)) (+.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 alpha 4)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (-.f64 (+.f64 beta beta) (neg.f64 (+.f64 beta 1))) alpha) 2) (/.f64 (/.f64 (-.f64 -2 (+.f64 beta 1)) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (-.f64 (+.f64 beta beta) (neg.f64 (+.f64 beta 1))) alpha) 2) (+.f64 (/.f64 (/.f64 (-.f64 -2 (+.f64 beta 1)) alpha) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 beta 4) 4) (/.f64 2 (*.f64 alpha 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 2 (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (-.f64 -1 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 beta 4) 4) (/.f64 1/2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 beta 4) 4) (*.f64 (/.f64 1 alpha) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 beta 4) 4) (*.f64 1/2 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 beta 4) 4) (*.f64 2 (/.f64 2 (*.f64 alpha 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 beta 4) 4) (-.f64 (/.f64 1 alpha) (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 -2 (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 beta 4) 4) alpha) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 beta 4) 4)) (/.f64 2 (*.f64 alpha 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 beta 4) 4)) (*.f64 (/.f64 1/2 alpha) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 beta 4) 4)) (*.f64 1/2 (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 beta 4) 4)) (-.f64 (/.f64 1/2 alpha) (/.f64 2 (*.f64 alpha 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 2 (*.f64 alpha 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 (*.f64 beta 4) 4) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (+.f64 (*.f64 beta 4) 4) (/.f64 2 alpha)) (/.f64 (+.f64 (*.f64 beta 4) 4) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (-.f64 (+.f64 (*.f64 beta 4) 4) (+.f64 2 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 2 (*.f64 alpha (/.f64 beta (/.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 (*.f64 alpha (/.f64 beta (/.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 alpha) (+.f64 (*.f64 beta 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 alpha) (-.f64 (*.f64 2 (+.f64 (*.f64 beta 4) 4)) (+.f64 (*.f64 beta 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 alpha 8)) (*.f64 2 (+.f64 (*.f64 beta 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 alpha 8)) (+.f64 (*.f64 beta 8) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 alpha 8)) (*.f64 (*.f64 (+.f64 (*.f64 beta 4) 4) 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 alpha 8)) (-.f64 (*.f64 (+.f64 (*.f64 beta 4) 4) 4) (*.f64 2 (+.f64 (*.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 beta 4) 4) (/.f64 2 alpha)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 beta 4) 4) 4) (/.f64 1 (*.f64 alpha 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 beta 4) 4) 4) (*.f64 (/.f64 2 (*.f64 alpha 8)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 beta 4) 4) 4) (-.f64 (/.f64 2 (*.f64 alpha 8)) (/.f64 1 (*.f64 alpha 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (/.f64 1 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 beta 4) 4) (*.f64 alpha alpha)) (/.f64 1 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 beta 4) 4) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 2 (+.f64 (*.f64 beta 4) 4)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 alpha 8)) (*.f64 (+.f64 (*.f64 beta 4) 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 alpha)) (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 alpha)) (/.f64 (+.f64 (*.f64 beta 4) 4) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 alpha) alpha) (*.f64 (+.f64 2 (+.f64 beta beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (/.f64 1 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha (+.f64 (*.f64 beta 4) 4)) (/.f64 (/.f64 1/2 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 beta 4) 4) (+.f64 alpha alpha)) (/.f64 (/.f64 2 (*.f64 alpha 8)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 alpha) alpha) (*.f64 alpha (+.f64 (*.f64 beta 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (*.f64 alpha 8)) alpha) (*.f64 (+.f64 (*.f64 beta 4) 4) (+.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (/.f64 (+.f64 beta 1) alpha)))))))

simplify271.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1040×	`rational_best-simplify-65`
1018×	`rational_best-simplify-47`
900×	`rational_best-simplify-55`
896×	`rational_best-simplify-108`
612×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	3901
1	646	2977
2	1915	2895

Stop Event

1×	node limit

Counts

113 → 138

Calls

Call 1

Inputs
(/.f64 2 alpha)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) 0)
(+.f64 0 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 beta (/.f64 alpha 2)))
(+.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 2 alpha))
(+.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))
(+.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta (+.f64 beta 1)) alpha))
(+.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1/2 alpha)))
(+.f64 (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta beta) 3) (+.f64 alpha alpha)))
(+.f64 (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 (.f64 beta 4) 4)) (.f64 alpha 4)))
(+.f64 (/.f64 (+.f64 beta (+.f64 beta 1)) alpha) (/.f64 1 alpha))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta alpha))
(+.f64 (+.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1/2 alpha)) (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)))
(+.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) 2) (/.f64 (.f64 3/2 (.f64 2 (/.f64 (+.f64 beta 1) alpha))) 2))
(+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) (.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) (+.f64 (.f64 beta 4) 4)) (*.f64 alpha 4)))
(+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha 4)) (/.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 3) (*.f64 alpha 4)))
(+.f64 (/.f64 (+.f64 (+.f64 beta beta) 3) (+.f64 alpha alpha)) (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)))
(+.f64 (/.f64 (.f64 3/2 (.f64 2 (/.f64 (+.f64 beta 1) alpha))) 2) (/.f64 (/.f64 (+.f64 beta 1) alpha) 2))
(+.f64 (/.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 3) (.f64 alpha 4)) (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha 4)))
(+.f64 (/.f64 (+.f64 (+.f64 beta beta) (+.f64 (.f64 beta 4) 4)) (.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 4) (*.f64 alpha 4)))
(+.f64 (/.f64 (+.f64 2 (+.f64 (.f64 beta 4) 4)) (.f64 alpha 4)) (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)))
(-.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) 0)
(-.f64 0 (*.f64 -2 (/.f64 (+.f64 beta 1) alpha)))
(-.f64 0 (+.f64 (/.f64 (/.f64 beta -1/2) alpha) (/.f64 -2 alpha)))
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 beta -1/2) alpha))
(-.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha))
(-.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (-.f64 -1 beta) alpha))
(-.f64 (/.f64 (+.f64 (.f64 beta 4) 4) alpha) (.f64 2 (/.f64 (+.f64 beta 1) alpha)))
(-.f64 (/.f64 (*.f64 beta 4) alpha) (+.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha)))
(-.f64 (/.f64 (*.f64 beta 4) alpha) (+.f64 (+.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha)) 0))
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 -1 alpha) (/.f64 (-.f64 -1 beta) alpha)))
(-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha))
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 -2 (-.f64 -2 (+.f64 beta beta))) (+.f64 alpha alpha)))
(-.f64 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 -1 alpha) (/.f64 (-.f64 -1 beta) alpha)) 0))
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) 0))
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 (-.f64 -2 (+.f64 beta beta))) (+.f64 alpha alpha)) 0))
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 -2 alpha)))
(-.f64 (/.f64 (+.f64 beta (+.f64 beta 1)) alpha) (/.f64 -1 alpha))
(-.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (neg.f64 beta) alpha))
(-.f64 (/.f64 (+.f64 2 beta) alpha) (+.f64 (/.f64 (neg.f64 beta) alpha) 0))
(-.f64 (/.f64 (.f64 3/2 (.f64 2 (/.f64 (+.f64 beta 1) alpha))) 2) (/.f64 (/.f64 (-.f64 -1 beta) alpha) 2))
(-.f64 (/.f64 (.f64 3/2 (.f64 2 (/.f64 (+.f64 beta 1) alpha))) 2) (+.f64 (/.f64 (/.f64 (-.f64 -1 beta) alpha) 2) 0))
(-.f64 (/.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 3) (.f64 alpha 4)) (/.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 alpha 4)))
(-.f64 (/.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 3) (.f64 alpha 4)) (+.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 alpha 4)) 0))
(-.f64 (/.f64 (/.f64 (-.f64 (+.f64 beta beta) (neg.f64 (+.f64 beta 1))) alpha) 2) (/.f64 (/.f64 (-.f64 -2 (+.f64 beta 1)) alpha) 2))
(-.f64 (/.f64 (/.f64 (-.f64 (+.f64 beta beta) (neg.f64 (+.f64 beta 1))) alpha) 2) (+.f64 (/.f64 (/.f64 (-.f64 -2 (+.f64 beta 1)) alpha) 2) 0))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 2 (.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) 1/2))
(.f64 2 (.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)))
(.f64 2 (.f64 (+.f64 (.f64 beta 4) 4) (/.f64 2 (.f64 alpha 8))))
(*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1 alpha))
(.f64 (+.f64 2 (+.f64 beta beta)) (.f64 2 (/.f64 1/2 alpha)))
(.f64 alpha (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)))
(.f64 (.f64 2 (/.f64 (+.f64 beta 1) alpha)) 1)
(.f64 1 (.f64 2 (/.f64 (+.f64 beta 1) alpha)))
(*.f64 -2 (/.f64 (-.f64 -1 beta) alpha))
(.f64 (+.f64 (.f64 beta 4) 4) (/.f64 1/2 alpha))
(.f64 (+.f64 (.f64 beta 4) 4) (*.f64 (/.f64 1 alpha) 1/2))
(.f64 (+.f64 (.f64 beta 4) 4) (*.f64 1/2 (/.f64 1 alpha)))
(.f64 (+.f64 (.f64 beta 4) 4) (.f64 2 (/.f64 2 (.f64 alpha 8))))
(.f64 (+.f64 (.f64 beta 4) 4) (-.f64 (/.f64 1 alpha) (/.f64 1/2 alpha)))
(.f64 (-.f64 -2 (+.f64 beta beta)) (.f64 -2 (/.f64 1/2 alpha)))
(*.f64 (/.f64 (+.f64 beta 1) alpha) 2)
(.f64 (/.f64 (+.f64 (.f64 beta 4) 4) alpha) 1/2)
(.f64 (.f64 2 (+.f64 (.f64 beta 4) 4)) (/.f64 2 (.f64 alpha 8)))
(.f64 (.f64 2 (+.f64 (.f64 beta 4) 4)) (.f64 (/.f64 1/2 alpha) 1/2))
(.f64 (.f64 2 (+.f64 (.f64 beta 4) 4)) (.f64 1/2 (/.f64 1/2 alpha)))
(.f64 (.f64 2 (+.f64 (.f64 beta 4) 4)) (-.f64 (/.f64 1/2 alpha) (/.f64 2 (.f64 alpha 8))))
(.f64 4 (.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 2 (*.f64 alpha 8))))
(.f64 1/2 (/.f64 (+.f64 (.f64 beta 4) 4) alpha))
(.f64 1/2 (-.f64 (.f64 (+.f64 (.f64 beta 4) 4) (/.f64 2 alpha)) (/.f64 (+.f64 (.f64 beta 4) 4) alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 beta beta)))
(.f64 (/.f64 1 alpha) (-.f64 (+.f64 (.f64 beta 4) 4) (+.f64 2 (+.f64 beta beta))))
(.f64 (/.f64 1 alpha) (+.f64 2 (.f64 alpha (/.f64 beta (/.f64 alpha 2)))))
(.f64 (/.f64 1 alpha) (+.f64 (.f64 alpha (/.f64 beta (/.f64 alpha 2))) 2))
(.f64 (/.f64 1/2 alpha) (+.f64 (.f64 beta 4) 4))
(.f64 (/.f64 1/2 alpha) (-.f64 (.f64 2 (+.f64 (.f64 beta 4) 4)) (+.f64 (.f64 beta 4) 4)))
(.f64 (/.f64 2 (.f64 alpha 8)) (.f64 2 (+.f64 (.f64 beta 4) 4)))
(.f64 (/.f64 2 (.f64 alpha 8)) (+.f64 (*.f64 beta 8) 8))
(.f64 (/.f64 2 (.f64 alpha 8)) (.f64 (.f64 (+.f64 (*.f64 beta 4) 4) 4) 1/2))
(.f64 (/.f64 2 (.f64 alpha 8)) (-.f64 (.f64 (+.f64 (.f64 beta 4) 4) 4) (.f64 2 (+.f64 (.f64 beta 4) 4))))
(.f64 (.f64 (+.f64 (*.f64 beta 4) 4) (/.f64 2 alpha)) 1/4)
(.f64 (.f64 (+.f64 (.f64 beta 4) 4) 4) (/.f64 1 (.f64 alpha 8)))
(.f64 (.f64 (+.f64 (.f64 beta 4) 4) 4) (.f64 (/.f64 2 (*.f64 alpha 8)) 1/2))
(.f64 (.f64 (+.f64 (.f64 beta 4) 4) 4) (-.f64 (/.f64 2 (.f64 alpha 8)) (/.f64 1 (*.f64 alpha 8))))
(.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) alpha)
(.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (/.f64 1 (/.f64 1 alpha)))
(.f64 (/.f64 (+.f64 (.f64 beta 4) 4) (*.f64 alpha alpha)) (/.f64 1 (/.f64 2 alpha)))
(.f64 1/4 (.f64 (+.f64 (*.f64 beta 4) 4) (/.f64 2 alpha)))
(.f64 1/4 (.f64 (.f64 2 (+.f64 (.f64 beta 4) 4)) (/.f64 1 alpha)))
(.f64 (/.f64 1 (.f64 alpha 8)) (.f64 (+.f64 (.f64 beta 4) 4) 4))
(.f64 (/.f64 1 (/.f64 1 alpha)) (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)))
(.f64 (/.f64 1 (/.f64 2 alpha)) (/.f64 (+.f64 (.f64 beta 4) 4) (*.f64 alpha alpha)))
(.f64 (/.f64 (/.f64 1 alpha) alpha) (.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(.f64 (.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (/.f64 1 alpha) alpha))
(.f64 (.f64 alpha (+.f64 (*.f64 beta 4) 4)) (/.f64 (/.f64 1/2 alpha) alpha))
(.f64 (.f64 (+.f64 (.f64 beta 4) 4) (+.f64 alpha alpha)) (/.f64 (/.f64 2 (.f64 alpha 8)) alpha))
(.f64 (/.f64 (/.f64 1/2 alpha) alpha) (.f64 alpha (+.f64 (*.f64 beta 4) 4)))
(.f64 (/.f64 (/.f64 2 (.f64 alpha 8)) alpha) (.f64 (+.f64 (.f64 beta 4) 4) (+.f64 alpha alpha)))
(pow.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) 1)
(neg.f64 (*.f64 -2 (/.f64 (+.f64 beta 1) alpha)))

Outputs
(/.f64 2 alpha)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) 0)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 0 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (/.f64 2 alpha) (/.f64 beta (/.f64 alpha 2)))
(+.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 2 alpha))
(+.f64 (/.f64 2 alpha) (/.f64 beta (/.f64 alpha 2)))
(+.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta (+.f64 beta 1)) alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1/2 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta beta) 3) (+.f64 alpha alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 (.f64 beta 4) 4)) (.f64 alpha 4)))
(+.f64 (/.f64 (+.f64 1/2 beta) alpha) (/.f64 (+.f64 2 (+.f64 4 (.f64 beta 4))) (.f64 alpha 4)))
(+.f64 (/.f64 (+.f64 beta 1/2) alpha) (/.f64 (+.f64 (.f64 beta 4) 6) (.f64 alpha 4)))
(+.f64 (/.f64 beta alpha) (/.f64 (+.f64 (.f64 beta 4) 8) (.f64 alpha 4)))
(+.f64 (/.f64 (+.f64 beta (+.f64 beta 1)) alpha) (/.f64 1 alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (+.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1/2 alpha)) (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) 2) (/.f64 (.f64 3/2 (.f64 2 (/.f64 (+.f64 beta 1) alpha))) 2))
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 3) (/.f64 (+.f64 beta 1) alpha)) 2)
(/.f64 (+.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (/.f64 (+.f64 beta 1) alpha) 3)) 2)
(/.f64 (+.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) 2)
(+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) (.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) (+.f64 (.f64 beta 4) 4)) (*.f64 alpha 4)))
(/.f64 (+.f64 (+.f64 (+.f64 beta beta) (+.f64 4 (.f64 beta 4))) (+.f64 (+.f64 beta beta) 4)) (.f64 alpha 4))
(/.f64 (+.f64 (+.f64 (+.f64 beta beta) 4) (+.f64 4 (+.f64 (+.f64 beta beta) (.f64 beta 4)))) (.f64 alpha 4))
(/.f64 (+.f64 (+.f64 beta beta) (+.f64 (+.f64 beta beta) (+.f64 (.f64 beta 4) 8))) (.f64 alpha 4))
(+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha 4)) (/.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 3) (*.f64 alpha 4)))
(/.f64 (+.f64 (.f64 3 (+.f64 2 (+.f64 beta beta))) (+.f64 2 (+.f64 beta beta))) (.f64 alpha 4))
(/.f64 (+.f64 (+.f64 beta beta) (+.f64 2 (.f64 3 (+.f64 2 (+.f64 beta beta))))) (.f64 alpha 4))
(/.f64 (+.f64 beta (+.f64 (+.f64 2 beta) (.f64 3 (+.f64 2 (+.f64 beta beta))))) (.f64 alpha 4))
(+.f64 (/.f64 (+.f64 (+.f64 beta beta) 3) (+.f64 alpha alpha)) (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (/.f64 (.f64 3/2 (.f64 2 (/.f64 (+.f64 beta 1) alpha))) 2) (/.f64 (/.f64 (+.f64 beta 1) alpha) 2))
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 3) (/.f64 (+.f64 beta 1) alpha)) 2)
(/.f64 (+.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (/.f64 (+.f64 beta 1) alpha) 3)) 2)
(/.f64 (+.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) 2)
(+.f64 (/.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 3) (.f64 alpha 4)) (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha 4)))
(/.f64 (+.f64 (.f64 3 (+.f64 2 (+.f64 beta beta))) (+.f64 2 (+.f64 beta beta))) (.f64 alpha 4))
(/.f64 (+.f64 (+.f64 beta beta) (+.f64 2 (.f64 3 (+.f64 2 (+.f64 beta beta))))) (.f64 alpha 4))
(/.f64 (+.f64 beta (+.f64 (+.f64 2 beta) (.f64 3 (+.f64 2 (+.f64 beta beta))))) (.f64 alpha 4))
(+.f64 (/.f64 (+.f64 (+.f64 beta beta) (+.f64 (.f64 beta 4) 4)) (.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 4) (*.f64 alpha 4)))
(/.f64 (+.f64 (+.f64 (+.f64 beta beta) (+.f64 4 (.f64 beta 4))) (+.f64 (+.f64 beta beta) 4)) (.f64 alpha 4))
(/.f64 (+.f64 (+.f64 (+.f64 beta beta) 4) (+.f64 4 (+.f64 (+.f64 beta beta) (.f64 beta 4)))) (.f64 alpha 4))
(/.f64 (+.f64 (+.f64 beta beta) (+.f64 (+.f64 beta beta) (+.f64 (.f64 beta 4) 8))) (.f64 alpha 4))
(+.f64 (/.f64 (+.f64 2 (+.f64 (.f64 beta 4) 4)) (.f64 alpha 4)) (+.f64 (/.f64 1/2 alpha) (/.f64 beta alpha)))
(+.f64 (/.f64 (+.f64 1/2 beta) alpha) (/.f64 (+.f64 2 (+.f64 4 (.f64 beta 4))) (.f64 alpha 4)))
(+.f64 (/.f64 (+.f64 beta 1/2) alpha) (/.f64 (+.f64 (.f64 beta 4) 6) (.f64 alpha 4)))
(+.f64 (/.f64 beta alpha) (/.f64 (+.f64 (.f64 beta 4) 8) (.f64 alpha 4)))
(-.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) 0)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(-.f64 0 (*.f64 -2 (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(-.f64 0 (+.f64 (/.f64 (/.f64 beta -1/2) alpha) (/.f64 -2 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 beta -1/2) alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(-.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha))
(-.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (-.f64 -1 beta) alpha))
(/.f64 (-.f64 (+.f64 beta 1) (-.f64 -1 beta)) alpha)
(/.f64 (-.f64 beta (-.f64 -1 (+.f64 beta 1))) alpha)
(/.f64 (+.f64 (-.f64 beta (neg.f64 beta)) 2) alpha)
(-.f64 (/.f64 (+.f64 (.f64 beta 4) 4) alpha) (.f64 2 (/.f64 (+.f64 beta 1) alpha)))
(-.f64 (/.f64 (+.f64 4 (.f64 beta 4)) alpha) (.f64 2 (/.f64 (+.f64 beta 1) alpha)))
(/.f64 (+.f64 (.f64 beta -2) (+.f64 2 (.f64 beta 4))) alpha)
(-.f64 (/.f64 (*.f64 beta 4) alpha) (+.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha)))
(+.f64 (neg.f64 (/.f64 beta (/.f64 alpha 2))) (/.f64 (+.f64 2 (*.f64 beta 4)) alpha))
(-.f64 (/.f64 (*.f64 beta 4) alpha) (+.f64 (+.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha)) 0))
(-.f64 (/.f64 (*.f64 beta 4) alpha) (+.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha)))
(+.f64 (neg.f64 (/.f64 beta (/.f64 alpha 2))) (/.f64 (+.f64 2 (*.f64 beta 4)) alpha))
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 -1 alpha) (/.f64 (-.f64 -1 beta) alpha)))
(/.f64 (-.f64 (+.f64 beta 1) (-.f64 -1 beta)) alpha)
(/.f64 (-.f64 beta (-.f64 -1 (+.f64 beta 1))) alpha)
(/.f64 (+.f64 (-.f64 beta (neg.f64 beta)) 2) alpha)
(-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha))
(/.f64 (-.f64 beta (-.f64 -2 beta)) alpha)
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 -2 (-.f64 -2 (+.f64 beta beta))) (+.f64 alpha alpha)))
(/.f64 (-.f64 (+.f64 beta 1) (-.f64 -1 beta)) alpha)
(/.f64 (-.f64 beta (-.f64 -1 (+.f64 beta 1))) alpha)
(/.f64 (+.f64 (-.f64 beta (neg.f64 beta)) 2) alpha)
(-.f64 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 -1 alpha) (/.f64 (-.f64 -1 beta) alpha)) 0))
(/.f64 (-.f64 (+.f64 beta 1) (-.f64 -1 beta)) alpha)
(/.f64 (-.f64 beta (-.f64 -1 (+.f64 beta 1))) alpha)
(/.f64 (+.f64 (-.f64 beta (neg.f64 beta)) 2) alpha)
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) 0))
(/.f64 (-.f64 beta (-.f64 -2 beta)) alpha)
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 (-.f64 -2 (+.f64 beta beta))) (+.f64 alpha alpha)) 0))
(/.f64 (-.f64 (+.f64 beta 1) (-.f64 -1 beta)) alpha)
(/.f64 (-.f64 beta (-.f64 -1 (+.f64 beta 1))) alpha)
(/.f64 (+.f64 (-.f64 beta (neg.f64 beta)) 2) alpha)
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 -2 alpha)))
(/.f64 (-.f64 (+.f64 beta 1) (-.f64 -1 beta)) alpha)
(/.f64 (-.f64 beta (-.f64 -1 (+.f64 beta 1))) alpha)
(/.f64 (+.f64 (-.f64 beta (neg.f64 beta)) 2) alpha)
(-.f64 (/.f64 (+.f64 beta (+.f64 beta 1)) alpha) (/.f64 -1 alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(-.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (neg.f64 beta) alpha))
(/.f64 (-.f64 (+.f64 beta 1) (-.f64 -1 beta)) alpha)
(/.f64 (-.f64 beta (-.f64 -1 (+.f64 beta 1))) alpha)
(/.f64 (+.f64 (-.f64 beta (neg.f64 beta)) 2) alpha)
(-.f64 (/.f64 (+.f64 2 beta) alpha) (+.f64 (/.f64 (neg.f64 beta) alpha) 0))
(/.f64 (-.f64 (+.f64 beta 1) (-.f64 -1 beta)) alpha)
(/.f64 (-.f64 beta (-.f64 -1 (+.f64 beta 1))) alpha)
(/.f64 (+.f64 (-.f64 beta (neg.f64 beta)) 2) alpha)
(-.f64 (/.f64 (.f64 3/2 (.f64 2 (/.f64 (+.f64 beta 1) alpha))) 2) (/.f64 (/.f64 (-.f64 -1 beta) alpha) 2))
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 3) (/.f64 (+.f64 beta 1) alpha)) 2)
(/.f64 (+.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (/.f64 (+.f64 beta 1) alpha) 3)) 2)
(/.f64 (+.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) 2)
(-.f64 (/.f64 (.f64 3/2 (.f64 2 (/.f64 (+.f64 beta 1) alpha))) 2) (+.f64 (/.f64 (/.f64 (-.f64 -1 beta) alpha) 2) 0))
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 3) (/.f64 (+.f64 beta 1) alpha)) 2)
(/.f64 (+.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (/.f64 (+.f64 beta 1) alpha) 3)) 2)
(/.f64 (+.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) 2)
(-.f64 (/.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 3) (.f64 alpha 4)) (/.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 alpha 4)))
(/.f64 (+.f64 (.f64 3 (+.f64 2 (+.f64 beta beta))) (+.f64 2 (+.f64 beta beta))) (.f64 alpha 4))
(/.f64 (+.f64 (+.f64 beta beta) (+.f64 2 (.f64 3 (+.f64 2 (+.f64 beta beta))))) (.f64 alpha 4))
(/.f64 (+.f64 beta (+.f64 (+.f64 2 beta) (.f64 3 (+.f64 2 (+.f64 beta beta))))) (.f64 alpha 4))
(-.f64 (/.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 3) (.f64 alpha 4)) (+.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 alpha 4)) 0))
(/.f64 (+.f64 (.f64 3 (+.f64 2 (+.f64 beta beta))) (+.f64 2 (+.f64 beta beta))) (.f64 alpha 4))
(/.f64 (+.f64 (+.f64 beta beta) (+.f64 2 (.f64 3 (+.f64 2 (+.f64 beta beta))))) (.f64 alpha 4))
(/.f64 (+.f64 beta (+.f64 (+.f64 2 beta) (.f64 3 (+.f64 2 (+.f64 beta beta))))) (.f64 alpha 4))
(-.f64 (/.f64 (/.f64 (-.f64 (+.f64 beta beta) (neg.f64 (+.f64 beta 1))) alpha) 2) (/.f64 (/.f64 (-.f64 -2 (+.f64 beta 1)) alpha) 2))
(/.f64 (-.f64 (/.f64 (-.f64 (+.f64 beta beta) (neg.f64 (+.f64 beta 1))) alpha) (/.f64 (-.f64 -2 (+.f64 beta 1)) alpha)) 2)
(/.f64 (/.f64 (-.f64 (-.f64 (+.f64 beta 1) (/.f64 beta -1/2)) (+.f64 -3 (neg.f64 beta))) alpha) 2)
(/.f64 (/.f64 (-.f64 (+.f64 beta beta) (+.f64 (-.f64 -3 beta) (-.f64 -1 beta))) alpha) 2)
(-.f64 (/.f64 (/.f64 (-.f64 (+.f64 beta beta) (neg.f64 (+.f64 beta 1))) alpha) 2) (+.f64 (/.f64 (/.f64 (-.f64 -2 (+.f64 beta 1)) alpha) 2) 0))
(/.f64 (-.f64 (/.f64 (-.f64 (+.f64 beta beta) (neg.f64 (+.f64 beta 1))) alpha) (/.f64 (-.f64 -2 (+.f64 beta 1)) alpha)) 2)
(/.f64 (/.f64 (-.f64 (-.f64 (+.f64 beta 1) (/.f64 beta -1/2)) (+.f64 -3 (neg.f64 beta))) alpha) 2)
(/.f64 (/.f64 (-.f64 (+.f64 beta beta) (+.f64 (-.f64 -3 beta) (-.f64 -1 beta))) alpha) 2)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(.f64 2 (.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) 1/2))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 2 (.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 2 (.f64 (+.f64 (.f64 beta 4) 4) (/.f64 2 (.f64 alpha 8))))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1 alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 (+.f64 2 (+.f64 beta beta)) (.f64 2 (/.f64 1/2 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 alpha (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 (.f64 2 (/.f64 (+.f64 beta 1) alpha)) 1)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 1 (.f64 2 (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 -2 (/.f64 (-.f64 -1 beta) alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 (+.f64 (.f64 beta 4) 4) (/.f64 1/2 alpha))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (+.f64 (.f64 beta 4) 4) (*.f64 (/.f64 1 alpha) 1/2))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (+.f64 (.f64 beta 4) 4) (*.f64 1/2 (/.f64 1 alpha)))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (+.f64 (.f64 beta 4) 4) (.f64 2 (/.f64 2 (.f64 alpha 8))))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (+.f64 (.f64 beta 4) 4) (-.f64 (/.f64 1 alpha) (/.f64 1/2 alpha)))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (-.f64 -2 (+.f64 beta beta)) (.f64 -2 (/.f64 1/2 alpha)))
(.f64 (/.f64 1/2 alpha) (.f64 -2 (-.f64 -2 (+.f64 beta beta))))
(.f64 1/2 (.f64 (/.f64 -2 alpha) (-.f64 -2 (+.f64 beta beta))))
(*.f64 (/.f64 (+.f64 beta 1) alpha) 2)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 (/.f64 (+.f64 (.f64 beta 4) 4) alpha) 1/2)
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (.f64 2 (+.f64 (.f64 beta 4) 4)) (/.f64 2 (.f64 alpha 8)))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (.f64 2 (+.f64 (.f64 beta 4) 4)) (.f64 (/.f64 1/2 alpha) 1/2))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (.f64 2 (+.f64 (.f64 beta 4) 4)) (.f64 1/2 (/.f64 1/2 alpha)))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (.f64 2 (+.f64 (.f64 beta 4) 4)) (-.f64 (/.f64 1/2 alpha) (/.f64 2 (.f64 alpha 8))))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 4 (.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 2 (*.f64 alpha 8))))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 1/2 (/.f64 (+.f64 (.f64 beta 4) 4) alpha))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 1/2 (-.f64 (.f64 (+.f64 (.f64 beta 4) 4) (/.f64 2 alpha)) (/.f64 (+.f64 (.f64 beta 4) 4) alpha)))
(.f64 1/2 (-.f64 (.f64 (/.f64 2 alpha) (+.f64 4 (.f64 beta 4))) (/.f64 (+.f64 4 (.f64 beta 4)) alpha)))
(.f64 1/2 (-.f64 (.f64 2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha)) (/.f64 (+.f64 4 (.f64 beta 4)) alpha)))
(.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 4 (.f64 beta 4))) (+.f64 4 (.f64 beta 4))) alpha))
(*.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 beta beta)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 (/.f64 1 alpha) (-.f64 (+.f64 (.f64 beta 4) 4) (+.f64 2 (+.f64 beta beta))))
(.f64 (/.f64 1 alpha) (-.f64 (+.f64 4 (.f64 beta 4)) (+.f64 2 (+.f64 beta beta))))
(.f64 1 (/.f64 (+.f64 (/.f64 beta -1/2) (+.f64 3 (+.f64 (.f64 beta 4) -1))) alpha))
(.f64 (/.f64 1 alpha) (+.f64 (.f64 beta -2) (+.f64 2 (*.f64 beta 4))))
(.f64 (/.f64 1 alpha) (+.f64 2 (.f64 alpha (/.f64 beta (/.f64 alpha 2)))))
(.f64 1 (/.f64 (+.f64 2 (.f64 alpha (/.f64 beta (/.f64 alpha 2)))) alpha))
(.f64 (/.f64 1 alpha) (+.f64 (.f64 alpha (/.f64 beta (/.f64 alpha 2))) 2))
(.f64 (/.f64 1 alpha) (+.f64 2 (.f64 alpha (/.f64 beta (/.f64 alpha 2)))))
(.f64 1 (/.f64 (+.f64 2 (.f64 alpha (/.f64 beta (/.f64 alpha 2)))) alpha))
(.f64 (/.f64 1/2 alpha) (+.f64 (.f64 beta 4) 4))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 1/2 alpha) (-.f64 (.f64 2 (+.f64 (.f64 beta 4) 4)) (+.f64 (.f64 beta 4) 4)))
(.f64 1/2 (-.f64 (.f64 (/.f64 2 alpha) (+.f64 4 (.f64 beta 4))) (/.f64 (+.f64 4 (.f64 beta 4)) alpha)))
(.f64 1/2 (-.f64 (.f64 2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha)) (/.f64 (+.f64 4 (.f64 beta 4)) alpha)))
(.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 4 (.f64 beta 4))) (+.f64 4 (.f64 beta 4))) alpha))
(.f64 (/.f64 2 (.f64 alpha 8)) (.f64 2 (+.f64 (.f64 beta 4) 4)))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 2 (.f64 alpha 8)) (+.f64 (*.f64 beta 8) 8))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 2 (.f64 alpha 8)) (.f64 (.f64 (+.f64 (*.f64 beta 4) 4) 4) 1/2))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 2 (.f64 alpha 8)) (-.f64 (.f64 (+.f64 (.f64 beta 4) 4) 4) (.f64 2 (+.f64 (.f64 beta 4) 4))))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (.f64 (+.f64 (*.f64 beta 4) 4) (/.f64 2 alpha)) 1/4)
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (.f64 (+.f64 (.f64 beta 4) 4) 4) (/.f64 1 (.f64 alpha 8)))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (.f64 (+.f64 (.f64 beta 4) 4) 4) (.f64 (/.f64 2 (*.f64 alpha 8)) 1/2))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (.f64 (+.f64 (.f64 beta 4) 4) 4) (-.f64 (/.f64 2 (.f64 alpha 8)) (/.f64 1 (*.f64 alpha 8))))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) alpha)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (/.f64 1 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 (/.f64 (+.f64 (.f64 beta 4) 4) (*.f64 alpha alpha)) (/.f64 1 (/.f64 2 alpha)))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 1/4 (.f64 (+.f64 (*.f64 beta 4) 4) (/.f64 2 alpha)))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 1/4 (.f64 (.f64 2 (+.f64 (.f64 beta 4) 4)) (/.f64 1 alpha)))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 1 (.f64 alpha 8)) (.f64 (+.f64 (.f64 beta 4) 4) 4))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 1 (/.f64 1 alpha)) (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 (/.f64 1 (/.f64 2 alpha)) (/.f64 (+.f64 (.f64 beta 4) 4) (*.f64 alpha alpha)))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 (/.f64 1 alpha) alpha) (.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 (.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (/.f64 1 alpha) alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(.f64 (.f64 alpha (+.f64 (*.f64 beta 4) 4)) (/.f64 (/.f64 1/2 alpha) alpha))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (.f64 (+.f64 (.f64 beta 4) 4) (+.f64 alpha alpha)) (/.f64 (/.f64 2 (.f64 alpha 8)) alpha))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 (/.f64 1/2 alpha) alpha) (.f64 alpha (+.f64 (*.f64 beta 4) 4)))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 (/.f64 2 (.f64 alpha 8)) alpha) (.f64 (+.f64 (.f64 beta 4) 4) (+.f64 alpha alpha)))
(.f64 2 (.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (.f64 alpha 8))))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(pow.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) 1)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(neg.f64 (*.f64 -2 (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))

localize181.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (neg.f64 beta) (+.f64 2 beta))
✓	0.0b	(pow.f64 (+.f64 2 beta) 2)
✓	2.6b	(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))
✓	2.9b	(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))

Compiler

Compiled 142 to 96 computations (32.4% saved)

series31.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	beta	@	-inf	(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))
4.0ms	alpha	@	0	(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))
2.0ms	alpha	@	0	(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
1.0ms	beta	@	inf	(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))
1.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))

rewrite300.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`rational_best-simplify-83`
714×	`rational_best-simplify-53`
702×	`rational_best-simplify-49`
696×	`rational_best-simplify-67`
642×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	144
1	122	136
2	356	136
3	1479	136

Stop Event

1×	node limit

Counts

4 → 201

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 0 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (neg.f64 (/.f64 0 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (pow.f64 alpha 2)) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 2 (pow.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 2 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 2 (pow.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 2 (.f64 beta (+.f64 2 beta)))) (.f64 2 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 alpha 2))) (/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 (+.f64 2 beta) 2))) (.f64 2 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 alpha 2))) (-.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 2 (.f64 beta (+.f64 2 beta)))) (.f64 2 (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 2 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 (+.f64 2 beta) 2))) (.f64 2 (pow.f64 alpha 2))) (/.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 alpha 2)))) (/.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 0 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (neg.f64 (/.f64 0 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 0 (/.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (/.f64 0 (pow.f64 alpha 2)) (/.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (neg.f64 (/.f64 0 (pow.f64 alpha 2))) (/.f64 (pow.f64 alpha 2) (pow.f64 alpha 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 beta) (-.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (.f64 beta -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (.f64 beta -2)) (-.f64 (-.f64 -2 beta) (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 -2 (.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (.f64 beta -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 beta) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 beta) (+.f64 (-.f64 1 beta) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 beta) (neg.f64 (neg.f64 (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 beta -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 beta) (-.f64 -1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 beta) -3) (-.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 beta) (+.f64 (neg.f64 beta) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 -2 beta) (.f64 beta -2)) (neg.f64 (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta -2) (-.f64 (-.f64 -1 beta) (-.f64 (/.f64 beta 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta -2) (-.f64 (/.f64 beta -2) (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 -1 beta) (-.f64 (/.f64 beta 2) -1)) (/.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 beta -2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 beta) (+.f64 beta 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 beta) (-.f64 (/.f64 beta 2) -1)) (neg.f64 (-.f64 (/.f64 beta 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 -2 beta) (/.f64 beta 2)) (neg.f64 (/.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (-.f64 -2 beta) 2) beta) (+.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta -2) (+.f64 2 beta)) (/.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta -2) beta) (-.f64 (/.f64 beta -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta -2) 2) (-.f64 (/.f64 beta -2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta -2) (+.f64 beta 1)) (-.f64 (/.f64 beta -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta -2) 1) (-.f64 (/.f64 beta -2) (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -2 (.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 -2 (.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 beta (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 -2 (.f64 beta -2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 beta (+.f64 2 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 -2 (.f64 beta -2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 -2 (.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 -2 (.f64 beta -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (+.f64 2 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -2 (.f64 beta -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 -2 beta) 2) (.f64 beta -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 beta -4) (.f64 2 (.f64 2 (+.f64 2 beta)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -2 (*.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 beta (+.f64 2 beta)))))))

simplify904.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1616×	`rational_best-simplify-57`
1122×	`rational_best-simplify-1`
984×	`rational_best-simplify-52`
864×	`rational_best-simplify-48`
854×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	499	14403
1	1456	14067
2	5183	13233

Stop Event

1×	node limit

Counts

273 → 330

Calls

Call 1

Inputs
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
4
(+.f64 4 (*.f64 4 beta))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
-2
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) 0)
(+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 0 (pow.f64 alpha 2)))
(+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (neg.f64 (/.f64 0 (pow.f64 alpha 2))))
(+.f64 0 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 alpha 2)))))
(+.f64 (/.f64 0 (pow.f64 alpha 2)) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))
(+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 2 (pow.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 2 (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 2 (pow.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 2 (.f64 beta (+.f64 2 beta)))) (.f64 2 (pow.f64 alpha 2))))
(+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 alpha 2))) (/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 (+.f64 2 beta) 2))) (*.f64 2 (pow.f64 alpha 2))))
(+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 alpha 2))) (-.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 alpha 2)))))
(+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 2 (.f64 beta (+.f64 2 beta)))) (.f64 2 (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 2 (pow.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 (+.f64 2 beta) 2))) (.f64 2 (pow.f64 alpha 2))) (/.f64 (.f64 beta (+.f64 2 beta)) (*.f64 2 (pow.f64 alpha 2))))
(+.f64 (-.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 alpha 2)))) (/.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 alpha 2))))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) 0)
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 0 (pow.f64 alpha 2)))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (neg.f64 (/.f64 0 (pow.f64 alpha 2))))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 0 (/.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (/.f64 0 (pow.f64 alpha 2)) (/.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (neg.f64 (/.f64 0 (pow.f64 alpha 2))) (/.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 0 (.f64 (pow.f64 alpha 2) 4)))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 0 (+.f64 2 (/.f64 0 (pow.f64 alpha 2)))))
(-.f64 0 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (neg.f64 (pow.f64 alpha 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (+.f64 2 beta)) (neg.f64 (pow.f64 alpha 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (neg.f64 (pow.f64 alpha 2))) (/.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))))
(-.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 alpha 2))))
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(-.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 2 (pow.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) -2) (pow.f64 alpha 2)))
(-.f64 (-.f64 (/.f64 (-.f64 -1 beta) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (neg.f64 (pow.f64 alpha 2)))) (/.f64 (+.f64 beta 1) alpha))
(-.f64 (+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 alpha 2))) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 alpha 2))) (/.f64 (.f64 beta (+.f64 2 beta)) (*.f64 2 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 2 (pow.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 2 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 2 (pow.f64 alpha 2))) (/.f64 (-.f64 -1 beta) alpha)) (-.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 2 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (-.f64 -1 beta) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 2 (pow.f64 alpha 2)))) (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) -2) (pow.f64 alpha 2)) (/.f64 (-.f64 -1 beta) alpha)))
(-.f64 (+.f64 (/.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (pow.f64 alpha 2))) (+.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))) (-.f64 0 (/.f64 (.f64 beta (+.f64 2 beta)) (*.f64 2 (pow.f64 alpha 2)))))
(.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)) 1)
(.f64 1 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))
(.f64 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha))) 1/2)
(.f64 1/2 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha))))
(.f64 (.f64 2 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))) 1/4)
(/.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha)) 1)
(/.f64 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))) 2)
(/.f64 (.f64 2 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha)))) 4)
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 -2 (.f64 beta -2)) 4) alpha) (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) 4) (pow.f64 alpha 2))) 4)
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) 4) (pow.f64 alpha 2)) (/.f64 (.f64 (+.f64 -2 (.f64 beta -2)) 4) alpha)) 4)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha)) alpha) (/.f64 1 alpha))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha)) (+.f64 alpha alpha)) (/.f64 1/2 alpha))
(/.f64 (/.f64 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))) alpha) (/.f64 2 alpha))
(/.f64 (/.f64 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))) (+.f64 alpha alpha)) (/.f64 2 (+.f64 alpha alpha)))
(/.f64 (/.f64 (.f64 2 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha)))) alpha) (/.f64 4 alpha))
(/.f64 (/.f64 (.f64 2 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha)))) (+.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha)) (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha)) (*.f64 2 (pow.f64 alpha 2))) (/.f64 1/2 (pow.f64 alpha 2)))
(/.f64 (/.f64 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))) (pow.f64 alpha 2)) (/.f64 2 (pow.f64 alpha 2)))
(/.f64 (/.f64 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha))) (.f64 2 (pow.f64 alpha 2))) (/.f64 2 (*.f64 2 (pow.f64 alpha 2))))
(/.f64 (/.f64 (.f64 2 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha)))) (pow.f64 alpha 2)) (/.f64 4 (pow.f64 alpha 2)))
(/.f64 (/.f64 (.f64 2 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha)))) (.f64 2 (pow.f64 alpha 2))) (/.f64 4 (.f64 2 (pow.f64 alpha 2))))
(pow.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 -2 (.f64 beta -2)) alpha)) 1)
(+.f64 (pow.f64 (+.f64 2 beta) 2) 0)
(+.f64 0 (pow.f64 (+.f64 2 beta) 2))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) 2) (/.f64 (pow.f64 (+.f64 2 beta) 2) 2))
(-.f64 (pow.f64 (+.f64 2 beta) 2) 0)
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) 2) (/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) 2))
(*.f64 (pow.f64 (+.f64 2 beta) 2) 1)
(*.f64 1 (pow.f64 (+.f64 2 beta) 2))
(.f64 (.f64 2 (pow.f64 (+.f64 2 beta) 2)) 1/2)
(.f64 1/2 (.f64 2 (pow.f64 (+.f64 2 beta) 2)))
(.f64 (.f64 2 (*.f64 2 (pow.f64 (+.f64 2 beta) 2))) 1/4)
(/.f64 (pow.f64 (+.f64 2 beta) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 2)) 2)
(/.f64 (.f64 2 (.f64 2 (pow.f64 (+.f64 2 beta) 2))) 4)
(+.f64 (neg.f64 beta) (-.f64 -2 beta))
(+.f64 (+.f64 -2 (*.f64 beta -2)) 0)
(+.f64 (+.f64 -2 (*.f64 beta -2)) (-.f64 (-.f64 -2 beta) (-.f64 -2 beta)))
(+.f64 0 (+.f64 -2 (*.f64 beta -2)))
(+.f64 -1 (+.f64 (*.f64 beta -2) -1))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(+.f64 (-.f64 -2 beta) (+.f64 (-.f64 1 beta) -1))
(+.f64 (-.f64 -2 beta) (neg.f64 (neg.f64 (neg.f64 beta))))
(+.f64 -2 (*.f64 beta -2))
(+.f64 (*.f64 beta -2) -2)
(+.f64 (-.f64 -1 beta) (-.f64 -1 beta))
(+.f64 (+.f64 (neg.f64 beta) -3) (-.f64 1 beta))
(+.f64 (-.f64 1 beta) (+.f64 (neg.f64 beta) -3))
(+.f64 (+.f64 (-.f64 -2 beta) (*.f64 beta -2)) (neg.f64 (neg.f64 beta)))
(+.f64 (/.f64 beta -2) (-.f64 (-.f64 -1 beta) (-.f64 (/.f64 beta 2) -1)))
(+.f64 (/.f64 beta -2) (-.f64 (/.f64 beta -2) (+.f64 2 beta)))
(+.f64 (-.f64 (-.f64 -1 beta) (-.f64 (/.f64 beta 2) -1)) (/.f64 beta -2))
(+.f64 (+.f64 (*.f64 beta -2) -1) -1)
(+.f64 (-.f64 (neg.f64 beta) (+.f64 beta 1)) -1)
(+.f64 (-.f64 (neg.f64 beta) (-.f64 (/.f64 beta 2) -1)) (neg.f64 (-.f64 (/.f64 beta 2) -1)))
(+.f64 (-.f64 (-.f64 -2 beta) (/.f64 beta 2)) (neg.f64 (/.f64 beta 2)))
(+.f64 (-.f64 (*.f64 (-.f64 -2 beta) 2) beta) (+.f64 2 beta))
(+.f64 (-.f64 (/.f64 beta -2) (+.f64 2 beta)) (/.f64 beta -2))
(+.f64 (-.f64 (/.f64 beta -2) beta) (-.f64 (/.f64 beta -2) 2))
(+.f64 (-.f64 (/.f64 beta -2) 2) (-.f64 (/.f64 beta -2) beta))
(+.f64 (-.f64 (/.f64 beta -2) (+.f64 beta 1)) (-.f64 (/.f64 beta -2) 1))
(+.f64 (-.f64 (/.f64 beta -2) 1) (-.f64 (/.f64 beta -2) (+.f64 beta 1)))
(.f64 (+.f64 -2 (.f64 beta -2)) 1)
(.f64 1 (+.f64 -2 (.f64 beta -2)))
(*.f64 -1 (+.f64 beta (+.f64 2 beta)))
(.f64 (.f64 2 (+.f64 -2 (*.f64 beta -2))) 1/2)
(*.f64 (+.f64 beta (+.f64 2 beta)) -1)
(.f64 (.f64 (+.f64 -2 (*.f64 beta -2)) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 -2 (*.f64 beta -2))))
(/.f64 (+.f64 -2 (*.f64 beta -2)) 1)
(/.f64 (.f64 2 (+.f64 -2 (.f64 beta -2))) 2)
(/.f64 (+.f64 beta (+.f64 2 beta)) -1)
(/.f64 (.f64 (+.f64 -2 (.f64 beta -2)) 4) 4)
(/.f64 (+.f64 (.f64 (-.f64 -2 beta) 2) (.f64 beta -2)) 2)
(/.f64 (-.f64 (.f64 beta -4) (.f64 2 (*.f64 2 (+.f64 2 beta)))) 4)
(pow.f64 (+.f64 -2 (*.f64 beta -2)) 1)
(neg.f64 (+.f64 beta (+.f64 2 beta)))

Outputs
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (.f64 8 (/.f64 1/2 (pow.f64 alpha 2))) (.f64 beta (/.f64 6 (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (pow.f64 alpha 2)) (*.f64 beta (/.f64 6 (pow.f64 alpha 2))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (+.f64 (.f64 8 (/.f64 1/2 (pow.f64 alpha 2))) (.f64 beta (/.f64 6 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 beta (/.f64 6 (pow.f64 alpha 2))) (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) -1/2)))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (+.f64 (.f64 8 (/.f64 1/2 (pow.f64 alpha 2))) (.f64 beta (/.f64 6 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 beta (/.f64 6 (pow.f64 alpha 2))) (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) -1/2)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 beta (/.f64 6 (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (+.f64 (.f64 8 (/.f64 1/2 (pow.f64 alpha 2))) (.f64 beta (/.f64 6 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 beta (/.f64 6 (pow.f64 alpha 2))) (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) -1/2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (+.f64 (.f64 8 (/.f64 1/2 (pow.f64 alpha 2))) (.f64 beta (/.f64 6 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 beta (/.f64 6 (pow.f64 alpha 2))) (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) -1/2)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 beta (/.f64 6 (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (+.f64 (.f64 8 (/.f64 1/2 (pow.f64 alpha 2))) (.f64 beta (/.f64 6 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 beta (/.f64 6 (pow.f64 alpha 2))) (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) -1/2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (+.f64 (.f64 8 (/.f64 1/2 (pow.f64 alpha 2))) (.f64 beta (/.f64 6 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 beta (/.f64 6 (pow.f64 alpha 2))) (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) -1/2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 8 (/.f64 1/2 (pow.f64 alpha 2))) (.f64 4 (/.f64 1/2 alpha)))
(-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 beta (-.f64 (.f64 1 (/.f64 6 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1/2 (pow.f64 alpha 2))) (.f64 beta (-.f64 (.f64 1 (/.f64 6 (pow.f64 alpha 2))) (.f64 4 (/.f64 1/2 alpha))))) (*.f64 4 (/.f64 1/2 alpha)))
(-.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (*.f64 beta (-.f64 (/.f64 6 (pow.f64 alpha 2)) (/.f64 2 alpha)))) (/.f64 2 alpha))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
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(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
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(-.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 beta (-.f64 (/.f64 6 (pow.f64 alpha 2)) (/.f64 2 alpha))))) (/.f64 2 alpha))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
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(-.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 (/.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) -1/2) (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (pow.f64 alpha 2)))))) (/.f64 2 alpha))
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(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
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(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 (+.f64 2 (.f64 2 beta)) (/.f64 -1 alpha))
(neg.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
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(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 (+.f64 2 (.f64 2 beta)) (/.f64 -1 alpha))
(neg.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
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4
(+.f64 4 (*.f64 4 beta))
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(+.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 4 beta)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 4 beta)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 (pow.f64 beta 2) (*.f64 4 beta))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 4 beta)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 4 beta)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 (pow.f64 beta 2) (*.f64 4 beta))
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(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 4 beta)))
-2
(-.f64 (*.f64 -2 beta) 2)
(+.f64 -2 (*.f64 beta -2))
(-.f64 (*.f64 -2 beta) 2)
(+.f64 -2 (*.f64 beta -2))
(-.f64 (*.f64 -2 beta) 2)
(+.f64 -2 (*.f64 beta -2))
(*.f64 -2 beta)
(*.f64 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(+.f64 -2 (*.f64 beta -2))
(-.f64 (*.f64 -2 beta) 2)
(+.f64 -2 (*.f64 beta -2))
(-.f64 (*.f64 -2 beta) 2)
(+.f64 -2 (*.f64 beta -2))
(*.f64 -2 beta)
(*.f64 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(+.f64 -2 (*.f64 beta -2))
(-.f64 (*.f64 -2 beta) 2)
(+.f64 -2 (*.f64 beta -2))
(-.f64 (*.f64 -2 beta) 2)
(+.f64 -2 (*.f64 beta -2))
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(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
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(/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))) (*.f64 2 (pow.f64 alpha 2)))
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(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
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(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
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(-.f64 (neg.f64 beta) (+.f64 (+.f64 (/.f64 beta 2) 1) (+.f64 (/.f64 beta 2) 1)))
(-.f64 (+.f64 (*.f64 beta -3/2) (/.f64 beta -2)) 2)
(+.f64 (-.f64 (/.f64 beta -2) 1) (-.f64 (/.f64 beta -2) (+.f64 beta 1)))
(-.f64 (neg.f64 beta) (+.f64 (+.f64 (/.f64 beta 2) 1) (+.f64 (/.f64 beta 2) 1)))
(-.f64 (+.f64 (*.f64 beta -3/2) (/.f64 beta -2)) 2)
(.f64 (+.f64 -2 (.f64 beta -2)) 1)
(+.f64 -2 (*.f64 beta -2))
(.f64 1 (+.f64 -2 (.f64 beta -2)))
(+.f64 -2 (*.f64 beta -2))
(*.f64 -1 (+.f64 beta (+.f64 2 beta)))
(neg.f64 (+.f64 beta (+.f64 2 beta)))
(neg.f64 (+.f64 2 (+.f64 beta beta)))
(+.f64 -2 (neg.f64 (+.f64 beta beta)))
(.f64 (.f64 2 (+.f64 -2 (*.f64 beta -2))) 1/2)
(+.f64 -2 (*.f64 beta -2))
(*.f64 (+.f64 beta (+.f64 2 beta)) -1)
(neg.f64 (+.f64 beta (+.f64 2 beta)))
(neg.f64 (+.f64 2 (+.f64 beta beta)))
(+.f64 -2 (neg.f64 (+.f64 beta beta)))
(.f64 (.f64 (+.f64 -2 (*.f64 beta -2)) 4) 1/4)
(+.f64 -2 (*.f64 beta -2))
(.f64 1/2 (.f64 2 (+.f64 -2 (*.f64 beta -2))))
(+.f64 -2 (*.f64 beta -2))
(/.f64 (+.f64 -2 (*.f64 beta -2)) 1)
(+.f64 -2 (*.f64 beta -2))
(/.f64 (.f64 2 (+.f64 -2 (.f64 beta -2))) 2)
(+.f64 -2 (*.f64 beta -2))
(/.f64 (+.f64 beta (+.f64 2 beta)) -1)
(neg.f64 (+.f64 beta (+.f64 2 beta)))
(neg.f64 (+.f64 2 (+.f64 beta beta)))
(+.f64 -2 (neg.f64 (+.f64 beta beta)))
(/.f64 (.f64 (+.f64 -2 (.f64 beta -2)) 4) 4)
(+.f64 -2 (*.f64 beta -2))
(/.f64 (+.f64 (.f64 (-.f64 -2 beta) 2) (.f64 beta -2)) 2)
(/.f64 (+.f64 (.f64 beta -2) (.f64 2 (-.f64 -2 beta))) 2)
(/.f64 (-.f64 (.f64 beta -4) (.f64 2 (*.f64 2 (+.f64 2 beta)))) 4)
(/.f64 (-.f64 (.f64 beta -4) (.f64 (+.f64 2 beta) 4)) 4)
(/.f64 (-.f64 (.f64 beta -4) (.f64 4 (+.f64 2 beta))) 4)
(pow.f64 (+.f64 -2 (*.f64 beta -2)) 1)
(+.f64 -2 (*.f64 beta -2))
(neg.f64 (+.f64 beta (+.f64 2 beta)))
(neg.f64 (+.f64 2 (+.f64 beta beta)))
(+.f64 -2 (neg.f64 (+.f64 beta beta)))

eval2.8s (6.9%)

Compiler: Compiled 31355 to 23408 computations (25.3% saved)

prune1.0s (2.4%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1076	9	1085
Fresh	3	2	5
Picked	1	0	1
Done	0	5	5
Total	1080	16	1096

Error

0.1b

Counts

1096 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.2b	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) 2) 2)
✓	44.2b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	47.7b	(/.f64 (/.f64 2 alpha) 2)
	17.2b	(/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 -1 (/.f64 (-.f64 beta alpha) (.f64 2 (+.f64 alpha (+.f64 beta 2)))))) 2)
▶	44.2b	(/.f64 (-.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha)) 2)
	47.6b	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (neg.f64 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))))) 2)
✓	16.6b	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
	44.2b	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
▶	16.6b	(/.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
	31.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	17.1b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	18.7b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	34.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	58.2b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
	48.8b	(/.f64 (*.f64 -1 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha))) 2)
✓	41.5b	(/.f64 2 2)

Compiler

Compiled 467 to 361 computations (22.7% saved)

localize117.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
✓	0.0b	(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta)
	1.9b	(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 87 to 59 computations (32.2% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite188.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1502×	`rational_best-simplify-75`
1032×	`rational_best-2`
1032×	`rational_best-3`
1032×	`rational_best-1`
1030×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	69	38
2	149	38
3	485	38
4	2398	38

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (*.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (*.f64 2 (-.f64 (-.f64 -2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 beta (-.f64 (neg.f64 (+.f64 (neg.f64 alpha) -2)) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 beta) (-.f64 (-.f64 -2 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 beta) (-.f64 (neg.f64 (+.f64 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta beta) (+.f64 4 (*.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 (/.f64 (+.f64 alpha beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta 1/2) (+.f64 1 (/.f64 (+.f64 alpha beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta 4) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 4) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta -2) (*.f64 2 (-.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta -2) (-.f64 (+.f64 -2 (-.f64 (-.f64 -2 beta) (+.f64 alpha alpha))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta -2) (-.f64 (+.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 (neg.f64 alpha) -2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 beta 1/2)) (-.f64 (/.f64 (+.f64 (neg.f64 alpha) -2) 2) (*.f64 beta 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta (-.f64 (-.f64 -2 beta) alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 beta 4)) (*.f64 (+.f64 alpha (+.f64 beta 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta beta) 8) (*.f64 2 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 16 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 2 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 4 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 beta beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (*.f64 beta 4)) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 4) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta 1/2) (+.f64 4 (*.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta beta) 1/2) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta beta) 1/2) (/.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 8) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 4) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 8) (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 beta (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 2 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 beta (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta 4) 1/2) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (*.f64 2 (*.f64 beta 4))) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 2 (*.f64 beta 4))) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 beta -2)) (*.f64 (*.f64 2 (-.f64 (-.f64 -2 beta) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) beta) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (*.f64 beta 4)) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (*.f64 beta 4))) (*.f64 (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta beta)) (*.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 beta 4)) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 4) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2)))) (+.f64 4 (*.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 beta (/.f64 4 (+.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 2 (*.f64 2 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 alpha (+.f64 beta 2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 4 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 1/2 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 1 (*.f64 2 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)))))

simplify449.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational_best-simplify-50`
1190×	`rational_best-simplify-69`
1168×	`rational_best-simplify-47`
920×	`rational_best-simplify-1`
820×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	4846
1	1123	4714
2	4112	4708

Stop Event

1×	node limit

Counts

146 → 208

Calls

Call 1

Inputs
(/.f64 beta (+.f64 beta 2))
(+.f64 (.f64 -1 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))))))
(/.f64 beta alpha)
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 beta alpha)
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 beta (+.f64 2 alpha))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(/.f64 1 (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 0)
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (+.f64 alpha (+.f64 beta 2)))))
(+.f64 0 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(+.f64 (.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(+.f64 (+.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 0)
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (+.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (.f64 2 (-.f64 (-.f64 -2 beta) alpha))))
(-.f64 (*.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (-.f64 (neg.f64 (+.f64 (neg.f64 alpha) -2)) (neg.f64 beta)))
(/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1/2)
(/.f64 (neg.f64 beta) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (neg.f64 beta) (-.f64 (neg.f64 (+.f64 alpha 2)) beta))
(/.f64 (+.f64 beta beta) (+.f64 4 (*.f64 2 (+.f64 alpha beta))))
(/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 (/.f64 (+.f64 alpha beta) 2))))
(/.f64 (/.f64 beta (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)) 1/4)
(/.f64 (*.f64 beta 1/2) (+.f64 1 (/.f64 (+.f64 alpha beta) 2)))
(/.f64 (.f64 beta 4) (.f64 (+.f64 alpha (+.f64 beta 2)) 4))
(/.f64 (*.f64 beta (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) 4)
(/.f64 (.f64 beta (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) 4) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 beta -2) (.f64 2 (-.f64 (-.f64 -2 beta) alpha)))
(/.f64 (*.f64 beta -2) (-.f64 (+.f64 -2 (-.f64 (-.f64 -2 beta) (+.f64 alpha alpha))) beta))
(/.f64 (*.f64 beta -2) (-.f64 (+.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 (neg.f64 alpha) -2)) beta))
(/.f64 (neg.f64 (.f64 beta 1/2)) (-.f64 (/.f64 (+.f64 (neg.f64 alpha) -2) 2) (.f64 beta 1/2)))
(/.f64 (/.f64 beta (-.f64 (-.f64 -2 beta) alpha)) -1)
(/.f64 (.f64 2 (.f64 beta 4)) (*.f64 (+.f64 alpha (+.f64 beta 2)) 8))
(/.f64 (.f64 (+.f64 beta beta) 8) (.f64 2 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8)))
(/.f64 (*.f64 16 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 16)
(/.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 8) 8)
(/.f64 (/.f64 (*.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 beta (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 4 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 4 (+.f64 beta beta)) (.f64 (+.f64 alpha (+.f64 beta 2)) 8))
(/.f64 (.f64 8 (.f64 beta 4)) (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) 4) 8))
(/.f64 (/.f64 beta 1/2) (+.f64 4 (*.f64 2 (+.f64 alpha beta))))
(/.f64 (/.f64 (+.f64 beta beta) 1/2) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4))
(/.f64 (/.f64 (+.f64 beta beta) 1/2) (/.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) 1/2))
(/.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))) 4)
(/.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 8) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8)))
(/.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) 1/4)
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 4) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))) 8)
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 4)
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 8) (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) 1/2)
(/.f64 (/.f64 (/.f64 (*.f64 beta (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (*.f64 beta (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (/.f64 (.f64 beta 4) 1/2) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) 4) 1/2))
(/.f64 (.f64 8 (.f64 2 (.f64 beta 4))) (.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8) 8))
(/.f64 (.f64 4 (.f64 2 (.f64 beta 4))) (.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8) 4))
(/.f64 (.f64 2 (.f64 beta -2)) (.f64 (.f64 2 (-.f64 (-.f64 -2 beta) alpha)) 2))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) beta) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 -2 (+.f64 beta beta)) (.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) -2))
(/.f64 (.f64 -4 (.f64 beta 4)) (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) 4) -4))
(/.f64 (.f64 4 (neg.f64 (.f64 beta 4))) (.f64 (neg.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) 4))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta beta)) (.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 beta 4)) (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) 4) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2)))) (+.f64 4 (.f64 2 (+.f64 alpha beta))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 beta (/.f64 4 (+.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4))
(pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 0)
(+.f64 0 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 0)
(-.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(.f64 4 (.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) 1/2)
(*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))
(.f64 (.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 4)
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) 2)
(.f64 8 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) 8)))
(.f64 8 (.f64 (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1/2))
(.f64 8 (/.f64 2 (.f64 2 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8))))
(*.f64 (/.f64 4 (+.f64 alpha (+.f64 beta 2))) 1/4)
(*.f64 1/4 (/.f64 4 (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) 8)) 8)
(.f64 16 (/.f64 1/2 (.f64 (+.f64 alpha (+.f64 beta 2)) 8)))
(.f64 16 (/.f64 1 (.f64 2 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8))))
(.f64 (.f64 2 (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) 1/8)
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)

Outputs
(/.f64 beta (+.f64 beta 2))
(+.f64 (.f64 -1 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 beta 2)) (.f64 -1 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) (neg.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (neg.f64 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) (.f64 -1 (/.f64 (.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (neg.f64 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (neg.f64 (/.f64 (.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))) (.f64 -1 (+.f64 (/.f64 (.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)))))
(/.f64 beta alpha)
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (.f64 (.f64 beta (+.f64 beta 2)) (/.f64 -1 (pow.f64 alpha 2))))
(+.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (/.f64 beta alpha) (*.f64 beta (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (.f64 (.f64 beta (+.f64 beta 2)) (/.f64 -1 (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta alpha) (+.f64 (neg.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 beta (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (.f64 (.f64 beta (+.f64 beta 2)) (/.f64 -1 (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))))))
(+.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (.f64 -1 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))))
(+.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (.f64 -1 (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)))))
(/.f64 beta alpha)
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (.f64 (.f64 beta (+.f64 beta 2)) (/.f64 -1 (pow.f64 alpha 2))))
(+.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (/.f64 beta alpha) (*.f64 beta (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (.f64 (.f64 beta (+.f64 beta 2)) (/.f64 -1 (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta alpha) (+.f64 (neg.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 beta (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (.f64 (.f64 beta (+.f64 beta 2)) (/.f64 -1 (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))))))
(+.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (.f64 -1 (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))))
(+.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (.f64 -1 (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)))))
(/.f64 beta (+.f64 2 alpha))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (neg.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (neg.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (.f64 (pow.f64 beta 4) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 4)))))
(+.f64 (+.f64 (/.f64 beta (+.f64 2 alpha)) (neg.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (neg.f64 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4)))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (-.f64 (neg.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (neg.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (*.f64 (+.f64 2 alpha) (/.f64 -1 beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (+.f64 1 (*.f64 (+.f64 2 alpha) (/.f64 -1 beta))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 (neg.f64 (/.f64 (+.f64 2 alpha) beta)) (+.f64 1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) (+.f64 1 (.f64 (+.f64 2 alpha) (/.f64 -1 beta))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (+.f64 2 alpha) beta)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (+.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) 1))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (*.f64 (+.f64 2 alpha) (/.f64 -1 beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (+.f64 1 (*.f64 (+.f64 2 alpha) (/.f64 -1 beta))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 (neg.f64 (/.f64 (+.f64 2 alpha) beta)) (+.f64 1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) (+.f64 1 (.f64 (+.f64 2 alpha) (/.f64 -1 beta))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (+.f64 2 alpha) beta)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (+.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) 1))
(/.f64 1 (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 alpha (/.f64 -1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 alpha (/.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (+.f64 beta 2))))
(+.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (+.f64 (.f64 alpha (/.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))))))
(+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))))
(+.f64 (/.f64 1 alpha) (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))
(+.f64 (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))
(+.f64 (/.f64 1 alpha) (+.f64 (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(+.f64 (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4)))))
(+.f64 (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (*.f64 -1 (+.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (*.f64 -1 (+.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))))
(+.f64 (/.f64 1 alpha) (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))
(+.f64 (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))
(+.f64 (/.f64 1 alpha) (+.f64 (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(+.f64 (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4)))))
(+.f64 (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (*.f64 -1 (+.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4)))))
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(/.f64 1 (+.f64 2 alpha))
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(/.f64 (.f64 4 (.f64 2 (.f64 beta 4))) (.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8) 4))
(/.f64 beta (+.f64 2 (+.f64 beta alpha)))
(/.f64 beta (+.f64 beta (+.f64 2 alpha)))
(/.f64 (.f64 2 (.f64 beta -2)) (.f64 (.f64 2 (-.f64 (-.f64 -2 beta) alpha)) 2))
(/.f64 beta (+.f64 2 (+.f64 beta alpha)))
(/.f64 beta (+.f64 beta (+.f64 2 alpha)))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) beta) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 beta (+.f64 2 (+.f64 beta alpha)))
(/.f64 beta (+.f64 beta (+.f64 2 alpha)))
(/.f64 (.f64 -2 (+.f64 beta beta)) (.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) -2))
(/.f64 (+.f64 beta beta) (+.f64 4 (*.f64 2 (+.f64 beta alpha))))
(/.f64 beta (.f64 1/2 (+.f64 4 (.f64 2 (+.f64 beta alpha)))))
(/.f64 (.f64 -4 (.f64 beta 4)) (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) 4) -4))
(/.f64 beta (+.f64 2 (+.f64 beta alpha)))
(/.f64 beta (+.f64 beta (+.f64 2 alpha)))
(/.f64 (.f64 4 (neg.f64 (.f64 beta 4))) (.f64 (neg.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) 4))
(/.f64 beta (+.f64 2 (+.f64 beta alpha)))
(/.f64 beta (+.f64 beta (+.f64 2 alpha)))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta beta)) (.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta beta)) (+.f64 4 (.f64 2 (+.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))
(+.f64 (/.f64 (+.f64 beta beta) (+.f64 4 (*.f64 2 (+.f64 beta alpha)))) (/.f64 0 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 (/.f64 0 (+.f64 beta (+.f64 2 alpha))) (.f64 beta -2)) (+.f64 4 (.f64 2 (+.f64 beta alpha))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 beta 4)) (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) 4) (+.f64 alpha (+.f64 beta 2))))
(/.f64 beta (+.f64 2 (+.f64 beta alpha)))
(/.f64 beta (+.f64 beta (+.f64 2 alpha)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (+.f64 2 (+.f64 beta alpha)))
(/.f64 beta (+.f64 beta (+.f64 2 alpha)))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 beta 2)))) (+.f64 4 (.f64 2 (+.f64 alpha beta))))
(/.f64 (.f64 (+.f64 beta beta) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))) (+.f64 4 (.f64 2 (+.f64 beta alpha))))
(/.f64 (.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta beta)) (+.f64 4 (.f64 2 (+.f64 beta alpha))))
(/.f64 (.f64 beta (/.f64 (.f64 2 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))) (+.f64 4 (*.f64 2 (+.f64 beta alpha))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 beta (/.f64 4 (+.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4))
(/.f64 beta (+.f64 2 (+.f64 beta alpha)))
(/.f64 beta (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 beta (+.f64 2 (+.f64 beta alpha)))
(/.f64 beta (+.f64 beta (+.f64 2 alpha)))
(+.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 0)
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(+.f64 0 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(-.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 0)
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(-.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) 2))
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(.f64 4 (.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) 1/2)
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(.f64 (.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 4)
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(.f64 8 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) 8)))
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(.f64 8 (.f64 (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1/2))
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(.f64 8 (/.f64 2 (.f64 2 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8))))
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 4 (+.f64 alpha (+.f64 beta 2))) 1/4)
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 1/4 (/.f64 4 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) 8)) 8)
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(.f64 16 (/.f64 1/2 (.f64 (+.f64 alpha (+.f64 beta 2)) 8)))
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(.f64 16 (/.f64 1 (.f64 2 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8))))
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(.f64 (.f64 2 (/.f64 4 (+.f64 alpha (+.f64 beta 2)))) 1/8)
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 1 (+.f64 2 (+.f64 beta alpha)))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))

localize8.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize40.0ms (0.1%)

Compiler: Compiled 21 to 17 computations (19% saved)

localize36.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha))

Compiler

Compiled 37 to 25 computations (32.4% saved)

series199.0ms (0.5%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	alpha	@	0	(-.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha))
1.0ms	alpha	@	inf	(-.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha))
1.0ms	beta	@	0	(-.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha))
1.0ms	alpha	@	-inf	(-.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha))
0.0ms	beta	@	inf	(-.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha))

rewrite238.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`rational_best-simplify-66`
1000×	`rational_best-4`
1000×	`rational_best-2`
1000×	`rational_best-3`
1000×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	72	25
2	175	19
3	527	19
4	2915	19

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 2 alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (*.f64 beta (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta alpha) (/.f64 (-.f64 beta -2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 beta 4) -2) alpha) (neg.f64 (*.f64 beta (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 alpha) (/.f64 (+.f64 1 (+.f64 beta beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 beta (/.f64 2 alpha))) (/.f64 (-.f64 (*.f64 beta 4) -2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta -2) alpha) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 -1 alpha)) (/.f64 (+.f64 1 (+.f64 beta beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (+.f64 beta beta)) alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 -1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (+.f64 (*.f64 (/.f64 1 alpha) (*.f64 beta alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (+.f64 1 (*.f64 (/.f64 1 alpha) (*.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 (+.f64 beta 1) alpha) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (+.f64 (/.f64 -4 alpha) (*.f64 beta (/.f64 4 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (-.f64 (+.f64 beta beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (-.f64 (*.f64 (*.f64 beta (/.f64 2 alpha)) alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (-.f64 (*.f64 beta 4) (+.f64 -2 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 alpha) (-.f64 (*.f64 beta 4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 alpha) (-.f64 (*.f64 2 (*.f64 beta 4)) (+.f64 -4 (*.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 alpha 8)) (-.f64 (*.f64 2 (*.f64 beta 4)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (/.f64 -8 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (/.f64 -8 alpha)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 beta beta) -2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 beta 4) -4) (/.f64 1/2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (/.f64 -8 alpha)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta 1) alpha) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 beta beta) -2) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta 4) -4) (+.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta 1) (*.f64 alpha 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (+.f64 beta beta) -2) 2) (*.f64 alpha 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 beta 4) -4) 2) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (+.f64 beta beta) -2) (*.f64 alpha 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) 1/4) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (+.f64 beta beta) -2) (-.f64 (+.f64 beta beta) -2)) (+.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 beta 4) -4) (-.f64 (*.f64 beta 4) -4)) (*.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 beta 4)) -8) (*.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) (*.f64 alpha 1/2)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) 1/4) alpha) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) 1/4) (*.f64 alpha 1/2)) (/.f64 4 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (/.f64 -8 alpha)) alpha) (/.f64 4 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (/.f64 -8 alpha)) (*.f64 alpha 1/2)) (/.f64 4 (*.f64 alpha 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 beta 4) -4) (*.f64 alpha 1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 beta (/.f64 2 alpha)) alpha) -2) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta 4) (+.f64 -2 (+.f64 beta beta))) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (+.f64 (/.f64 -4 alpha) (*.f64 beta (/.f64 4 alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 beta 4)) (+.f64 -4 (*.f64 beta 4))) (+.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (/.f64 beta 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(*.f64 alpha 4) (*.f64 alpha 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (*.f64 beta (/.f64 2 alpha)) (/.f64 2 alpha)) -1) (*.f64 alpha 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (*.f64 beta (/.f64 4 alpha)) (/.f64 4 alpha)) -1) (*.f64 alpha 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (*.f64 beta (/.f64 2 alpha)) alpha) (/.f64 (/.f64 -2 alpha) alpha)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 beta (+.f64 alpha alpha)) (/.f64 -2 (*.f64 alpha 4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (+.f64 beta beta) (*.f64 alpha 4)) (/.f64 -2 (*.f64 alpha 4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (/.f64 (/.f64 beta alpha) 1/8)) (*.f64 2 (/.f64 -8 alpha))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (*.f64 beta 4)) -16) (*.f64 alpha 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1 alpha) (*.f64 beta alpha)) -1) (*.f64 alpha 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 beta (-.f64 -2 beta)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 beta beta) (-.f64 -4 (+.f64 beta beta))) (+.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta 4) (-.f64 -8 (*.f64 beta 4))) (*.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (/.f64 (/.f64 beta alpha) 1/8)) (+.f64 (/.f64 -8 alpha) (/.f64 (/.f64 beta alpha) 1/8))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (*.f64 beta 4)) (+.f64 -8 (*.f64 2 (*.f64 beta 4)))) (*.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (/.f64 (-.f64 beta -2) alpha) 1/2) (/.f64 (*.f64 beta -2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 -2 (+.f64 beta beta)) -4) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 -4 (*.f64 beta 4)) -8) (+.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (/.f64 -4 alpha) (*.f64 beta (/.f64 4 alpha))) (/.f64 -8 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (/.f64 -4 alpha) (*.f64 beta (/.f64 4 alpha))) (/.f64 -4 (*.f64 alpha 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 -8 (*.f64 2 (*.f64 beta 4))) -16) (*.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (/.f64 -8 alpha) (/.f64 (/.f64 beta alpha) 1/8)) (*.f64 2 (/.f64 -8 alpha))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))))))

simplify291.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1110×	`rational_best-simplify-55`
966×	`rational_best-simplify-67`
698×	`rational_best-simplify-108`
618×	`rational_best-simplify-47`
616×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	3385
1	813	2703
2	2990	2595

Stop Event

1×	node limit

Counts

117 → 146

Calls

Call 1

Inputs
(/.f64 2 alpha)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(+.f64 (*.f64 beta (/.f64 2 alpha)) (/.f64 2 alpha))
(+.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 0)
(+.f64 0 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))
(+.f64 1 (-.f64 -1 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))
(+.f64 (/.f64 2 alpha) (*.f64 beta (/.f64 2 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 (-.f64 beta -2) alpha))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))
(+.f64 (/.f64 (-.f64 (.f64 beta 4) -2) alpha) (neg.f64 (.f64 beta (/.f64 2 alpha))))
(+.f64 (/.f64 1 alpha) (/.f64 (+.f64 1 (+.f64 beta beta)) alpha))
(+.f64 (neg.f64 (.f64 beta (/.f64 2 alpha))) (/.f64 (-.f64 (.f64 beta 4) -2) alpha))
(+.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))
(+.f64 (/.f64 (-.f64 beta -2) alpha) (/.f64 beta alpha))
(+.f64 (neg.f64 (/.f64 -1 alpha)) (/.f64 (+.f64 1 (+.f64 beta beta)) alpha))
(+.f64 (/.f64 (+.f64 1 (+.f64 beta beta)) alpha) (/.f64 1 alpha))
(+.f64 (/.f64 (+.f64 1 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 -1 alpha)))
(+.f64 (-.f64 -1 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)) 1)
(+.f64 (-.f64 1 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)) -1)
(.f64 2 (.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1/2))
(.f64 (.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(.f64 1 (.f64 (/.f64 2 alpha) (+.f64 beta 1)))
(.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) -1)
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(.f64 (/.f64 2 alpha) (+.f64 (.f64 (/.f64 1 alpha) (*.f64 beta alpha)) 1))
(.f64 (/.f64 2 alpha) (+.f64 1 (.f64 (/.f64 1 alpha) (*.f64 beta alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) 1/4) 1/2)
(.f64 -1 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha))
(*.f64 1/2 (/.f64 (/.f64 (+.f64 beta 1) alpha) 1/4))
(.f64 1/2 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (+.f64 (/.f64 -4 alpha) (.f64 beta (/.f64 4 alpha)))))
(*.f64 (/.f64 1 alpha) (-.f64 (+.f64 beta beta) -2))
(.f64 (/.f64 1 alpha) (-.f64 (.f64 (*.f64 beta (/.f64 2 alpha)) alpha) -2))
(.f64 (/.f64 1 alpha) (-.f64 (.f64 beta 4) (+.f64 -2 (+.f64 beta beta))))
(.f64 (/.f64 1/2 alpha) (-.f64 (.f64 beta 4) -4))
(.f64 (/.f64 1/2 alpha) (-.f64 (.f64 2 (.f64 beta 4)) (+.f64 -4 (.f64 beta 4))))
(.f64 (/.f64 2 (.f64 alpha 8)) (-.f64 (.f64 2 (.f64 beta 4)) -8))
(*.f64 1/4 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (/.f64 -8 alpha)))
(*.f64 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (/.f64 -8 alpha)) 1/4)
(*.f64 (-.f64 (+.f64 beta beta) -2) (/.f64 1 alpha))
(.f64 (-.f64 (.f64 beta 4) -4) (/.f64 1/2 alpha))
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(/.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha) -1)
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) 1/4) 2)
(/.f64 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (/.f64 -8 alpha)) 4)
(/.f64 (/.f64 (+.f64 beta 1) alpha) 1/2)
(/.f64 (-.f64 (+.f64 beta beta) -2) alpha)
(/.f64 (-.f64 (*.f64 beta 4) -4) (+.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha 1/2))
(/.f64 (/.f64 (-.f64 (+.f64 beta beta) -2) 2) (*.f64 alpha 1/2))
(/.f64 (/.f64 (-.f64 (*.f64 beta 4) -4) 2) alpha)
(/.f64 (/.f64 (-.f64 (+.f64 beta beta) -2) (*.f64 alpha 4)) 1/4)
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) 1/4) 4) 8)
(/.f64 (+.f64 (-.f64 (+.f64 beta beta) -2) (-.f64 (+.f64 beta beta) -2)) (+.f64 alpha alpha))
(/.f64 (+.f64 (-.f64 (.f64 beta 4) -4) (-.f64 (.f64 beta 4) -4)) (*.f64 alpha 4))
(/.f64 (-.f64 (.f64 2 (.f64 beta 4)) -8) (*.f64 alpha 4))
(/.f64 (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) alpha) (/.f64 1 alpha))
(/.f64 (/.f64 (.f64 (/.f64 2 alpha) (+.f64 beta 1)) (.f64 alpha 1/2)) (/.f64 2 alpha))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) 1/4) alpha) (/.f64 2 alpha))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) 1/4) (*.f64 alpha 1/2)) (/.f64 4 alpha))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (/.f64 -8 alpha)) alpha) (/.f64 4 alpha))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (/.f64 -8 alpha)) (.f64 alpha 1/2)) (/.f64 4 (.f64 alpha 1/2)))
(/.f64 (/.f64 (-.f64 (.f64 beta 4) -4) (.f64 alpha 1/2)) 4)
(/.f64 (-.f64 (.f64 (.f64 beta (/.f64 2 alpha)) alpha) -2) alpha)
(/.f64 (-.f64 (*.f64 beta 4) (+.f64 -2 (+.f64 beta beta))) alpha)
(/.f64 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (+.f64 (/.f64 -4 alpha) (*.f64 beta (/.f64 4 alpha)))) 2)
(/.f64 (-.f64 (.f64 2 (.f64 beta 4)) (+.f64 -4 (*.f64 beta 4))) (+.f64 alpha alpha))
(/.f64 (-.f64 (/.f64 (/.f64 beta alpha) 1/8) (/.f64 -4 (*.f64 alpha 1/2))) 4)
(/.f64 (-.f64 (/.f64 beta (.f64 1/4 (.f64 alpha alpha))) (/.f64 (/.f64 -2 alpha) (*.f64 alpha 1/2))) (/.f64 2 alpha))
(/.f64 (-.f64 (/.f64 beta (.f64 1/4 (.f64 alpha alpha))) (/.f64 (/.f64 -4 alpha) alpha)) (/.f64 2 alpha))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 beta alpha) 1/8) alpha) (/.f64 (/.f64 -4 alpha) (*.f64 alpha 1/2))) (/.f64 4 alpha))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 beta alpha) 1/8) alpha) (/.f64 (/.f64 -8 alpha) alpha)) (/.f64 4 alpha))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 beta alpha) 1/8) (.f64 alpha 1/2)) (/.f64 (/.f64 -8 alpha) (.f64 alpha 1/2))) (/.f64 4 (*.f64 alpha 1/2)))
(/.f64 (-.f64 (/.f64 (.f64 2 (.f64 beta 4)) (.f64 alpha 1/2)) (/.f64 -8 (.f64 alpha 1/2))) (/.f64 (.f64 alpha 4) (.f64 alpha 1/2)))
(/.f64 (-.f64 (/.f64 (.f64 beta (/.f64 2 alpha)) (/.f64 2 alpha)) -1) (.f64 alpha 1/2))
(/.f64 (-.f64 (/.f64 (.f64 beta (/.f64 4 alpha)) (/.f64 4 alpha)) -1) (.f64 alpha 1/2))
(/.f64 (-.f64 (/.f64 (*.f64 beta (/.f64 2 alpha)) alpha) (/.f64 (/.f64 -2 alpha) alpha)) (/.f64 1 alpha))
(/.f64 (-.f64 (/.f64 beta (+.f64 alpha alpha)) (/.f64 -2 (*.f64 alpha 4))) 1/4)
(/.f64 (-.f64 (/.f64 (+.f64 beta beta) (.f64 alpha 4)) (/.f64 -2 (.f64 alpha 4))) 1/4)
(/.f64 (-.f64 (.f64 2 (/.f64 (/.f64 beta alpha) 1/8)) (.f64 2 (/.f64 -8 alpha))) 8)
(/.f64 (-.f64 (.f64 4 (.f64 beta 4)) -16) (*.f64 alpha 8))
(/.f64 (-.f64 (.f64 (/.f64 1 alpha) (.f64 beta alpha)) -1) (*.f64 alpha 1/2))
(/.f64 (-.f64 beta (-.f64 -2 beta)) alpha)
(/.f64 (-.f64 (+.f64 beta beta) (-.f64 -4 (+.f64 beta beta))) (+.f64 alpha alpha))
(/.f64 (-.f64 (.f64 beta 4) (-.f64 -8 (.f64 beta 4))) (*.f64 alpha 4))
(/.f64 (-.f64 (*.f64 2 (/.f64 (/.f64 beta alpha) 1/8)) (+.f64 (/.f64 -8 alpha) (/.f64 (/.f64 beta alpha) 1/8))) 4)
(/.f64 (-.f64 (.f64 4 (.f64 beta 4)) (+.f64 -8 (.f64 2 (.f64 beta 4)))) (*.f64 alpha 4))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 beta -2) alpha) 1/2) (/.f64 (*.f64 beta -2) alpha)) 2)
(/.f64 (-.f64 (+.f64 -2 (+.f64 beta beta)) -4) alpha)
(/.f64 (-.f64 (+.f64 -4 (*.f64 beta 4)) -8) (+.f64 alpha alpha))
(/.f64 (-.f64 (+.f64 (/.f64 -4 alpha) (*.f64 beta (/.f64 4 alpha))) (/.f64 -8 alpha)) 2)
(/.f64 (-.f64 (+.f64 (/.f64 -4 alpha) (.f64 beta (/.f64 4 alpha))) (/.f64 -4 (.f64 alpha 1/2))) 2)
(/.f64 (-.f64 (+.f64 -8 (.f64 2 (.f64 beta 4))) -16) (*.f64 alpha 4))
(/.f64 (-.f64 (+.f64 (/.f64 -8 alpha) (/.f64 (/.f64 beta alpha) 1/8)) (*.f64 2 (/.f64 -8 alpha))) 4)
(pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(neg.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))

Outputs
(/.f64 2 alpha)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(*.f64 2 (/.f64 beta alpha))
(*.f64 (/.f64 2 alpha) beta)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(*.f64 2 (/.f64 beta alpha))
(*.f64 (/.f64 2 alpha) beta)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(neg.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))
(/.f64 (+.f64 -2 (*.f64 beta -2)) (neg.f64 alpha))
(/.f64 (-.f64 2 (*.f64 beta -2)) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(neg.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))
(/.f64 (+.f64 -2 (*.f64 beta -2)) (neg.f64 alpha))
(/.f64 (-.f64 2 (*.f64 beta -2)) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(neg.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))
(/.f64 (+.f64 -2 (*.f64 beta -2)) (neg.f64 alpha))
(/.f64 (-.f64 2 (*.f64 beta -2)) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(neg.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))
(/.f64 (+.f64 -2 (*.f64 beta -2)) (neg.f64 alpha))
(/.f64 (-.f64 2 (*.f64 beta -2)) alpha)
(+.f64 (*.f64 beta (/.f64 2 alpha)) (/.f64 2 alpha))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(+.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 0)
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(+.f64 0 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(+.f64 1 (-.f64 -1 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))
(neg.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))
(/.f64 (+.f64 -2 (*.f64 beta -2)) (neg.f64 alpha))
(/.f64 (-.f64 2 (*.f64 beta -2)) alpha)
(+.f64 (/.f64 2 alpha) (*.f64 beta (/.f64 2 alpha)))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(+.f64 (/.f64 beta alpha) (/.f64 (-.f64 beta -2) alpha))
(/.f64 (+.f64 (-.f64 beta -2) beta) alpha)
(/.f64 (+.f64 beta (-.f64 beta -2)) alpha)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))
(neg.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))
(/.f64 (+.f64 -2 (*.f64 beta -2)) (neg.f64 alpha))
(/.f64 (-.f64 2 (*.f64 beta -2)) alpha)
(+.f64 (/.f64 (-.f64 (.f64 beta 4) -2) alpha) (neg.f64 (.f64 beta (/.f64 2 alpha))))
(+.f64 (/.f64 (-.f64 (.f64 beta 4) -2) alpha) (neg.f64 (.f64 2 (/.f64 beta alpha))))
(+.f64 (/.f64 (-.f64 (.f64 beta 4) -2) alpha) (neg.f64 (.f64 (/.f64 2 alpha) beta)))
(+.f64 (/.f64 (-.f64 (.f64 beta 4) -2) alpha) (.f64 (/.f64 beta alpha) -2))
(+.f64 (/.f64 1 alpha) (/.f64 (+.f64 1 (+.f64 beta beta)) alpha))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(+.f64 (neg.f64 (.f64 beta (/.f64 2 alpha))) (/.f64 (-.f64 (.f64 beta 4) -2) alpha))
(+.f64 (/.f64 (-.f64 (.f64 beta 4) -2) alpha) (neg.f64 (.f64 2 (/.f64 beta alpha))))
(+.f64 (/.f64 (-.f64 (.f64 beta 4) -2) alpha) (neg.f64 (.f64 (/.f64 2 alpha) beta)))
(+.f64 (/.f64 (-.f64 (.f64 beta 4) -2) alpha) (.f64 (/.f64 beta alpha) -2))
(+.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(+.f64 (/.f64 (-.f64 beta -2) alpha) (/.f64 beta alpha))
(/.f64 (+.f64 (-.f64 beta -2) beta) alpha)
(/.f64 (+.f64 beta (-.f64 beta -2)) alpha)
(+.f64 (neg.f64 (/.f64 -1 alpha)) (/.f64 (+.f64 1 (+.f64 beta beta)) alpha))
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(/.f64 (-.f64 (+.f64 (/.f64 -8 alpha) (/.f64 (/.f64 beta alpha) 1/8)) (*.f64 2 (/.f64 -8 alpha))) 4)
(/.f64 (-.f64 (+.f64 (/.f64 beta (.f64 alpha 1/8)) (/.f64 -8 alpha)) (.f64 -8 (/.f64 2 alpha))) 4)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 beta 1/8) -8) alpha) (*.f64 (/.f64 2 alpha) -8)) 4)
(-.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) (/.f64 (*.f64 2 (/.f64 -8 alpha)) 4))
(pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(neg.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))
(/.f64 (+.f64 -2 (*.f64 beta -2)) (neg.f64 alpha))
(/.f64 (-.f64 2 (*.f64 beta -2)) alpha)

localize74.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 70 to 50 computations (28.6% saved)

series6.0ms (0%)

Counts

3 → 60

Calls

18 calls:

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

rewrite542.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`rational_best-4`
1734×	`rational_best-2`
1734×	`rational_best-3`
1734×	`rational_best-1`
1734×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	85	69
2	215	51
3	724	51
4	4306	51

Stop Event

1×	node limit

Counts

3 → 205

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 2) (/.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 2) (/.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 1) (/.f64 6 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 1) (/.f64 12 alpha)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 beta 1) (/.f64 12 alpha)) (*.f64 (+.f64 beta 1) (/.f64 12 alpha))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 beta 1) 4) (/.f64 12 alpha)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) (/.f64 (-.f64 -1 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 2) (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta 1) alpha) (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 0 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta 1) alpha) (-.f64 (/.f64 0 alpha) (*.f64 (+.f64 beta 1) (/.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 0 alpha)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 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#<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 4) 2) alpha) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 4) 2) (+.f64 alpha alpha)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 4) 2)) alpha) (/.f64 4 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 4) 2)) (+.f64 alpha alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) -4))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 1) alpha) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 0 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 0 (/.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (/.f64 0 alpha) (/.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta alpha) (/.f64 (/.f64 1 alpha) (/.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 alpha) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha alpha)) (/.f64 (+.f64 beta 1) (+.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 alpha) (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha 4)) (/.f64 (/.f64 (*.f64 (+.f64 beta 1) 3) (+.f64 alpha alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha 4)) (/.f64 (*.f64 (+.f64 beta 1) 3) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 alpha) (/.f64 (+.f64 1/2 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 (+.f64 beta 2) (+.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 beta alpha) 2) (-.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 -1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 2) (+.f64 alpha alpha)) (/.f64 (/.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1/2 beta) alpha) (/.f64 1/2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1/2 beta) alpha) (+.f64 (/.f64 1/2 alpha) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1/2 beta) alpha) (+.f64 (/.f64 1/2 alpha) (/.f64 0 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 -1 alpha)) (/.f64 (/.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 alpha alpha)) (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 0 alpha) (/.f64 alpha alpha)) (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 alpha alpha)) (/.f64 (/.f64 (+.f64 beta 2) (+.f64 alpha alpha)) (/.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 alpha) (/.f64 alpha alpha)) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1/2 alpha) (/.f64 alpha alpha)) (/.f64 (/.f64 (+.f64 1/2 beta) alpha) (/.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (+.f64 2 (/.f64 0 alpha))) (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 beta alpha) (+.f64 2 (/.f64 0 alpha))) (/.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 2 (/.f64 0 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 alpha) (+.f64 2 (/.f64 0 alpha))) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 1)) alpha) (+.f64 2 (/.f64 0 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha alpha)) (+.f64 2 (/.f64 0 alpha))) (/.f64 (/.f64 (*.f64 (+.f64 beta 1) 3) (+.f64 alpha alpha)) (+.f64 2 (/.f64 0 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta (+.f64 beta 1)) (*.f64 alpha 4)) (/.f64 (+.f64 beta (+.f64 (+.f64 beta 2) 1)) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 2) (*.f64 alpha 4)) (/.f64 (+.f64 beta (+.f64 beta (+.f64 beta 2))) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta 1) alpha) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 0 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 0 (/.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (/.f64 0 alpha) (/.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 0 (+.f64 2 (/.f64 0 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 -1 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (/.f64 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (/.f64 (/.f64 -1 alpha) (/.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 alpha) (/.f64 beta (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha alpha)) (/.f64 (/.f64 (-.f64 -1 beta) 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha alpha)) (/.f64 (/.f64 (-.f64 -1 beta) alpha) (+.f64 2 (/.f64 0 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 alpha) (/.f64 (-.f64 -1 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 2) (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (/.f64 alpha 2)) (+.f64 (/.f64 -1 alpha) (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 beta alpha) 2) (+.f64 (/.f64 (/.f64 (-.f64 -1 beta) 2) alpha) (/.f64 -1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 beta alpha) 2) (-.f64 (/.f64 -1 alpha) (/.f64 (/.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 (+.f64 -1 (-.f64 -1 beta)) (+.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta 2) (+.f64 alpha alpha)) (-.f64 0 (/.f64 (/.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1/2 beta) alpha) (/.f64 -1/2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 (/.f64 (-.f64 -1 beta) 2) alpha)) (/.f64 -1/2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 -1 alpha)) (-.f64 0 (/.f64 (/.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 -1 alpha)) (-.f64 (/.f64 0 alpha) (/.f64 (/.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 alpha) (/.f64 alpha alpha)) (/.f64 beta (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta 1) 3) (+.f64 alpha alpha)) 2) (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta 1) 3) (+.f64 alpha alpha)) (+.f64 2 (/.f64 0 alpha))) (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) 2) alpha) (+.f64 2 (/.f64 0 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 beta 1) 3) (*.f64 alpha 4)) (/.f64 (-.f64 -1 beta) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 (+.f64 1/2 beta) alpha)) 2) (/.f64 (/.f64 (+.f64 -3 (neg.f64 beta)) (+.f64 alpha alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 (+.f64 1/2 beta) alpha)) (+.f64 2 (/.f64 0 alpha))) (/.f64 (/.f64 (+.f64 -3 (neg.f64 beta)) (+.f64 alpha alpha)) (+.f64 2 (/.f64 0 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta (+.f64 beta (+.f64 beta 1))) (*.f64 alpha 4)) (/.f64 (+.f64 -3 (neg.f64 beta)) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 4) (/.f64 1 (/.f64 (*.f64 alpha 4) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 -1 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 beta) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (*.f64 alpha (/.f64 (+.f64 beta 1) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 beta 1) (+.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 alpha) (+.f64 1/2 (/.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 2) (/.f64 1 (+.f64 2 (/.f64 0 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) 4) (/.f64 1 (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (+.f64 beta 1) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 beta 2)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 alpha) (+.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 alpha) (*.f64 alpha (*.f64 (/.f64 (+.f64 beta 1) alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 alpha 4)) (*.f64 (+.f64 beta 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 beta 1) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 beta 1) 4)) (/.f64 1 (*.f64 2 (*.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (/.f64 1 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 1 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (+.f64 1/2 (/.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (+.f64 beta 1) alpha) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 alpha 4))) (*.f64 2 (*.f64 (+.f64 beta 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha alpha)) (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (/.f64 0 alpha))) (*.f64 (/.f64 (+.f64 beta 1) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 alpha)) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 alpha 4) alpha)) (*.f64 (/.f64 (+.f64 beta 1) alpha) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 alpha) alpha) (*.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 alpha) alpha) (*.f64 alpha (+.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) alpha) (/.f64 (/.f64 1 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 2))) (/.f64 (/.f64 1/2 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha (/.f64 (+.f64 beta 1) alpha)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha (*.f64 (/.f64 (+.f64 beta 1) alpha) 2)) (/.f64 1/2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha (*.f64 (+.f64 beta 1) 4)) (/.f64 (/.f64 1 (*.f64 alpha 4)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 alpha) (+.f64 1/2 (/.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 alpha 4)) alpha) (*.f64 alpha (*.f64 (+.f64 beta 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 1) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -1 beta) alpha))))))

simplify522.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1332×	`rational_best-simplify-57`
1040×	`rational_best-simplify-63`
942×	`rational_best-simplify-1`
914×	`rational_best-simplify-51`
902×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	6367
1	1219	4895
2	4409	4697

Stop Event

1×	node limit

Counts

265 → 253

Calls

Call 1

Inputs
(/.f64 3 alpha)
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 beta alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 beta alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(/.f64 4 alpha)
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(*.f64 4 (/.f64 beta alpha))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(*.f64 4 (/.f64 beta alpha))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(.f64 -1 (/.f64 (+.f64 (.f64 -3 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta 1))) alpha))
(.f64 -1 (/.f64 (+.f64 (.f64 -3 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta 1))) alpha))
(.f64 -1 (/.f64 (+.f64 (.f64 -3 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta 1))) alpha))
(.f64 -1 (/.f64 (+.f64 (.f64 -3 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta 1))) alpha))
(/.f64 1 alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 0)
(+.f64 0 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)))
(+.f64 (/.f64 (.f64 (+.f64 beta 1) (/.f64 3 alpha)) 2) (/.f64 (.f64 (+.f64 beta 1) (/.f64 3 alpha)) 2))
(-.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 0)
(-.f64 (/.f64 (.f64 (+.f64 beta 1) (/.f64 3 alpha)) 2) (/.f64 (neg.f64 (.f64 (+.f64 beta 1) (/.f64 3 alpha))) 2))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 1)
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 6 alpha)) 2)
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 12 alpha)) 4)
(/.f64 (+.f64 (.f64 (+.f64 beta 1) (/.f64 12 alpha)) (.f64 (+.f64 beta 1) (/.f64 12 alpha))) 8)
(/.f64 (.f64 (.f64 (+.f64 beta 1) 4) (/.f64 12 alpha)) 16)
(pow.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 1)
(-.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) (/.f64 (-.f64 -1 beta) alpha))
(-.f64 (.f64 (+.f64 beta 1) (/.f64 3 alpha)) (+.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) 2) (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)))))
(-.f64 (/.f64 (+.f64 beta 1) alpha) (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))))
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(.f64 (.f64 alpha (.f64 (+.f64 beta 1) 4)) (/.f64 (/.f64 1 (.f64 alpha 4)) alpha))
(.f64 (.f64 (/.f64 1 alpha) (+.f64 1/2 (/.f64 beta 2))) 2)
(.f64 (/.f64 (/.f64 1 (.f64 alpha 4)) alpha) (.f64 alpha (.f64 (+.f64 beta 1) 4)))
(pow.f64 (/.f64 (+.f64 beta 1) alpha) 1)
(neg.f64 (/.f64 (-.f64 -1 beta) alpha))

Outputs
(/.f64 3 alpha)
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(*.f64 3 (/.f64 beta alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(*.f64 3 (/.f64 beta alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(/.f64 4 alpha)
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(*.f64 4 (/.f64 beta alpha))
(*.f64 beta (/.f64 4 alpha))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(*.f64 4 (/.f64 beta alpha))
(*.f64 beta (/.f64 4 alpha))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 1 alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 (*.f64 3 (+.f64 beta 1)) (+.f64 beta 1)) alpha)
(/.f64 (*.f64 (+.f64 beta 1) 4) alpha)
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 (*.f64 3 (+.f64 beta 1)) (+.f64 beta 1)) alpha)
(/.f64 (*.f64 (+.f64 beta 1) 4) alpha)
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 (*.f64 3 (+.f64 beta 1)) (+.f64 beta 1)) alpha)
(/.f64 (*.f64 (+.f64 beta 1) 4) alpha)
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 (*.f64 3 (+.f64 beta 1)) (+.f64 beta 1)) alpha)
(/.f64 (*.f64 (+.f64 beta 1) 4) alpha)
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 (*.f64 3 (+.f64 beta 1)) (+.f64 beta 1)) alpha)
(/.f64 (*.f64 (+.f64 beta 1) 4) alpha)
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 (*.f64 3 (+.f64 beta 1)) (+.f64 beta 1)) alpha)
(/.f64 (*.f64 (+.f64 beta 1) 4) alpha)
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 (*.f64 3 (+.f64 beta 1)) (+.f64 beta 1)) alpha)
(/.f64 (*.f64 (+.f64 beta 1) 4) alpha)
(/.f64 (+.f64 beta (+.f64 1 (*.f64 3 (+.f64 beta 1)))) alpha)
(/.f64 (+.f64 (*.f64 3 (+.f64 beta 1)) (+.f64 beta 1)) alpha)
(/.f64 (*.f64 (+.f64 beta 1) 4) alpha)
(.f64 -1 (/.f64 (+.f64 (.f64 -3 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta 1))) alpha))
(.f64 (.f64 (+.f64 beta 1) -4) (/.f64 -1 alpha))
(neg.f64 (/.f64 (*.f64 (+.f64 beta 1) -4) alpha))
(.f64 -1 (/.f64 (+.f64 (.f64 -3 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta 1))) alpha))
(.f64 (.f64 (+.f64 beta 1) -4) (/.f64 -1 alpha))
(neg.f64 (/.f64 (*.f64 (+.f64 beta 1) -4) alpha))
(.f64 -1 (/.f64 (+.f64 (.f64 -3 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta 1))) alpha))
(.f64 (.f64 (+.f64 beta 1) -4) (/.f64 -1 alpha))
(neg.f64 (/.f64 (*.f64 (+.f64 beta 1) -4) alpha))
(.f64 -1 (/.f64 (+.f64 (.f64 -3 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta 1))) alpha))
(.f64 (.f64 (+.f64 beta 1) -4) (/.f64 -1 alpha))
(neg.f64 (/.f64 (*.f64 (+.f64 beta 1) -4) alpha))
(/.f64 1 alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 beta 1) alpha)
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 beta 1) alpha)
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 0)
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 0 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (/.f64 (.f64 (+.f64 beta 1) (/.f64 3 alpha)) 2) (/.f64 (.f64 (+.f64 beta 1) (/.f64 3 alpha)) 2))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(-.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 0)
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(-.f64 (/.f64 (.f64 (+.f64 beta 1) (/.f64 3 alpha)) 2) (/.f64 (neg.f64 (.f64 (+.f64 beta 1) (/.f64 3 alpha))) 2))
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 1)
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 6 alpha)) 2)
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 12 alpha)) 4)
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 (.f64 (+.f64 beta 1) (/.f64 12 alpha)) (.f64 (+.f64 beta 1) (/.f64 12 alpha))) 8)
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (.f64 (.f64 (+.f64 beta 1) 4) (/.f64 12 alpha)) 16)
(/.f64 (.f64 12 (/.f64 (.f64 (+.f64 beta 1) 4) alpha)) 16)
(/.f64 (.f64 (/.f64 12 alpha) (.f64 (+.f64 beta 1) 4)) 16)
(/.f64 (.f64 (/.f64 6 alpha) (.f64 (+.f64 beta 1) 8)) 16)
(pow.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) 1)
(+.f64 (.f64 3 (/.f64 beta alpha)) (.f64 3 (/.f64 1 alpha)))
(*.f64 3 (/.f64 (+.f64 beta 1) alpha))
(-.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) (/.f64 (-.f64 -1 beta) alpha))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (.f64 (+.f64 beta 1) (/.f64 3 alpha)) (+.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) 2) (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)))))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 (+.f64 beta 1) alpha) (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 0 alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 (+.f64 beta 1) alpha) (-.f64 (/.f64 0 alpha) (*.f64 (+.f64 beta 1) (/.f64 3 alpha))))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 0 alpha)) 0))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 0 alpha)) (/.f64 0 alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (/.f64 0 alpha) (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 0 alpha))))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 4) 0)
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 4) (/.f64 0 alpha))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 0 (*.f64 (/.f64 (+.f64 beta 1) alpha) -4))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 0 (+.f64 (/.f64 0 alpha) (*.f64 (/.f64 (+.f64 beta 1) alpha) -4)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 beta alpha) (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 -1 alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 beta alpha) (-.f64 (/.f64 -1 alpha) (*.f64 (+.f64 beta 1) (/.f64 3 alpha))))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 beta alpha) (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 0 alpha)) (/.f64 -1 alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 0 alpha) (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 -1 alpha))))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 beta alpha) (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 -1 alpha)) 0))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 beta alpha) (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 -1 alpha)) (/.f64 0 alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 1 alpha) (-.f64 (/.f64 beta (neg.f64 alpha)) (*.f64 (+.f64 beta 1) (/.f64 3 alpha))))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 1 alpha) (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 beta (neg.f64 alpha))))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 1 alpha) (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 0 alpha)) (/.f64 beta (neg.f64 alpha))))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 1 alpha) (neg.f64 (+.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) (/.f64 beta alpha))))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (+.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) (/.f64 beta alpha)) (/.f64 -1 alpha))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha alpha)) (-.f64 0 (-.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) (/.f64 (/.f64 (-.f64 -1 beta) 2) alpha))))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha alpha)) (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 (/.f64 (-.f64 -1 beta) 2) alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha alpha)) (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 0 alpha)) (/.f64 (/.f64 (-.f64 -1 beta) 2) alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha alpha)) (-.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 (+.f64 beta 1) (+.f64 alpha alpha))))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 0 alpha) (*.f64 (/.f64 (+.f64 beta 1) alpha) -4))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (.f64 (+.f64 beta 1) (/.f64 6 alpha)) (.f64 (/.f64 (+.f64 beta 1) alpha) 2))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) 2) (.f64 (/.f64 (-.f64 -1 beta) alpha) 2))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) 2) (-.f64 (/.f64 (/.f64 (-.f64 -1 beta) 2) alpha) (/.f64 (.f64 (+.f64 beta 1) (/.f64 3 alpha)) 2)))
(-.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) 2) (-.f64 (/.f64 (-.f64 -1 beta) (.f64 2 alpha)) (/.f64 (*.f64 3 (/.f64 (+.f64 beta 1) alpha)) 2)))
(-.f64 (.f64 (+.f64 beta 1) (/.f64 2 alpha)) (/.f64 (-.f64 (/.f64 (-.f64 -1 beta) alpha) (.f64 3 (/.f64 (+.f64 beta 1) alpha))) 2))
(-.f64 (.f64 (+.f64 beta 1) (/.f64 2 alpha)) (/.f64 (.f64 (+.f64 beta 1) (/.f64 -4 alpha)) 2))
(-.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) 2) (+.f64 (neg.f64 (.f64 (+.f64 beta 1) (/.f64 3 alpha))) (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (-.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) (/.f64 (/.f64 (-.f64 -1 beta) 2) alpha)) (/.f64 (/.f64 (-.f64 -1 beta) 2) alpha))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (+.f64 (*.f64 (+.f64 beta 1) (/.f64 3 alpha)) (/.f64 0 alpha)) (/.f64 (-.f64 -1 beta) alpha))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (/.f64 (.f64 (+.f64 beta 1) (/.f64 3 alpha)) 2) (-.f64 (/.f64 (-.f64 -1 beta) alpha) (/.f64 (.f64 (+.f64 beta 1) (/.f64 3 alpha)) 2)))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
(*.f64 (+.f64 beta 1) (/.f64 4 alpha))
(-.f64 (+.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (/.f64 (+.f64 beta 1) alpha) 2)) (/.f64 (-.f64 -1 beta) alpha))
(+.f64 (.f64 beta (/.f64 4 alpha)) (.f64 1 (/.f64 4 alpha)))
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(-.f64 (/.f64 (/.f64 beta alpha) 2) (-.f64 (/.f64 -1 alpha) (/.f64 (/.f64 beta alpha) 2)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 (+.f64 -1 (-.f64 -1 beta)) (+.f64 alpha alpha)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (/.f64 (+.f64 beta 2) (+.f64 alpha alpha)) (-.f64 0 (/.f64 (/.f64 beta alpha) 2)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (/.f64 (+.f64 1/2 beta) alpha) (/.f64 -1/2 alpha))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (-.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 (/.f64 (-.f64 -1 beta) 2) alpha)) (/.f64 -1/2 alpha))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (-.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 -1 alpha)) (-.f64 0 (/.f64 (/.f64 beta alpha) 2)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (-.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 -1 alpha)) (-.f64 (/.f64 0 alpha) (/.f64 (/.f64 beta alpha) 2)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (/.f64 (/.f64 1 alpha) (/.f64 alpha alpha)) (/.f64 beta (neg.f64 alpha)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta 1) 3) (+.f64 alpha alpha)) 2) (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) 2) alpha) 2))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta 1) 3) (+.f64 alpha alpha)) (+.f64 2 (/.f64 0 alpha))) (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) 2) alpha) (+.f64 2 (/.f64 0 alpha))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (/.f64 (.f64 (+.f64 beta 1) 3) (.f64 alpha 4)) (/.f64 (-.f64 -1 beta) (*.f64 alpha 4)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 (+.f64 1/2 beta) alpha)) 2) (/.f64 (/.f64 (+.f64 -3 (neg.f64 beta)) (+.f64 alpha alpha)) 2))
(/.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 alpha 2)) (/.f64 (+.f64 beta 1/2) alpha)) (/.f64 (+.f64 -3 (neg.f64 beta)) (+.f64 alpha alpha))) 2)
(/.f64 (-.f64 (+.f64 beta (+.f64 beta (+.f64 beta 1))) (+.f64 -3 (neg.f64 beta))) (*.f64 alpha 4))
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 (+.f64 1/2 beta) alpha)) (+.f64 2 (/.f64 0 alpha))) (/.f64 (/.f64 (+.f64 -3 (neg.f64 beta)) (+.f64 alpha alpha)) (+.f64 2 (/.f64 0 alpha))))
(/.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 alpha 2)) (/.f64 (+.f64 beta 1/2) alpha)) (/.f64 (+.f64 -3 (neg.f64 beta)) (+.f64 alpha alpha))) 2)
(/.f64 (-.f64 (+.f64 beta (+.f64 beta (+.f64 beta 1))) (+.f64 -3 (neg.f64 beta))) (*.f64 alpha 4))
(-.f64 (/.f64 (+.f64 beta (+.f64 beta (+.f64 beta 1))) (.f64 alpha 4)) (/.f64 (+.f64 -3 (neg.f64 beta)) (.f64 alpha 4)))
(/.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 alpha 2)) (/.f64 (+.f64 beta 1/2) alpha)) (/.f64 (+.f64 -3 (neg.f64 beta)) (+.f64 alpha alpha))) 2)
(/.f64 (-.f64 (+.f64 beta (+.f64 beta (+.f64 beta 1))) (+.f64 -3 (neg.f64 beta))) (*.f64 alpha 4))
(*.f64 1 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 beta 1) alpha)
(*.f64 (+.f64 beta 1) (/.f64 1 alpha))
(/.f64 (+.f64 beta 1) alpha)
(.f64 alpha (/.f64 (+.f64 beta 1) (.f64 alpha alpha)))
(/.f64 (+.f64 beta 1) alpha)
(*.f64 (/.f64 (+.f64 beta 1) alpha) 1)
(/.f64 (+.f64 beta 1) alpha)
(*.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (/.f64 alpha alpha)))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) 4) 1/4)
(/.f64 (+.f64 beta 1) alpha)
(.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) 4) (/.f64 1 (/.f64 (*.f64 alpha 4) alpha)))
(.f64 1 (/.f64 (.f64 (+.f64 beta 1) (/.f64 4 alpha)) (/.f64 (*.f64 alpha 4) alpha)))
(.f64 1 (/.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) 8) (/.f64 (*.f64 alpha 8) alpha)))
(/.f64 (.f64 (+.f64 beta 1) (/.f64 4 alpha)) (/.f64 (.f64 alpha 4) alpha))
(*.f64 -1 (/.f64 (-.f64 -1 beta) alpha))
(/.f64 (+.f64 beta 1) alpha)
(*.f64 (/.f64 (-.f64 -1 beta) alpha) -1)
(/.f64 (+.f64 beta 1) alpha)
(*.f64 (/.f64 1 alpha) (+.f64 beta 1))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (/.f64 1 alpha) (.f64 alpha (/.f64 (+.f64 beta 1) alpha)))
(/.f64 (+.f64 beta 1) alpha)
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))
(/.f64 (+.f64 beta 1) alpha)
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha alpha)) 2)
(/.f64 (+.f64 beta 1) alpha)
(*.f64 2 (/.f64 (+.f64 beta 1) (+.f64 alpha alpha)))
(/.f64 (+.f64 beta 1) alpha)
(.f64 2 (.f64 (/.f64 1 alpha) (+.f64 1/2 (/.f64 beta 2))))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) 2) 1/2)
(/.f64 (+.f64 beta 1) alpha)
(.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) 2) (/.f64 1 (+.f64 2 (/.f64 0 alpha))))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (.f64 (+.f64 beta 1) 4) (/.f64 1 (*.f64 alpha 4)))
(/.f64 (+.f64 beta 1) alpha)
(.f64 1/2 (.f64 (/.f64 (+.f64 beta 1) alpha) 2))
(/.f64 (+.f64 beta 1) alpha)
(*.f64 (+.f64 1/2 (/.f64 beta 2)) (/.f64 2 alpha))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (/.f64 (+.f64 beta 1) (.f64 alpha 4)) 4)
(/.f64 (+.f64 beta 1) alpha)
(*.f64 (/.f64 1/2 alpha) (+.f64 beta (+.f64 beta 2)))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (/.f64 1/2 alpha) (.f64 alpha (*.f64 (/.f64 (+.f64 beta 1) alpha) 2)))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (/.f64 1 (.f64 alpha 4)) (*.f64 (+.f64 beta 1) 4))
(/.f64 (+.f64 beta 1) alpha)
(.f64 4 (/.f64 (+.f64 beta 1) (.f64 alpha 4)))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (.f64 2 (.f64 (+.f64 beta 1) 4)) (/.f64 1 (.f64 2 (*.f64 alpha 4))))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (/.f64 (+.f64 beta 1) (.f64 alpha alpha)) alpha)
(/.f64 (+.f64 beta 1) alpha)
(.f64 (/.f64 (+.f64 beta 1) (.f64 alpha alpha)) (/.f64 1 (/.f64 1 alpha)))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (.f64 alpha alpha)) (/.f64 1 (/.f64 2 alpha)))
(/.f64 (+.f64 beta 1) alpha)
(*.f64 (/.f64 2 alpha) (+.f64 1/2 (/.f64 beta 2)))
(/.f64 (+.f64 beta 1) alpha)
(.f64 1/4 (.f64 (/.f64 (+.f64 beta 1) alpha) 4))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (/.f64 1 (.f64 2 (.f64 alpha 4))) (.f64 2 (*.f64 (+.f64 beta 1) 4)))
(/.f64 (+.f64 beta 1) alpha)
(*.f64 (/.f64 1 (/.f64 alpha alpha)) (/.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (/.f64 1 (+.f64 2 (/.f64 0 alpha))) (.f64 (/.f64 (+.f64 beta 1) alpha) 2))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (/.f64 1 (/.f64 1 alpha)) (/.f64 (+.f64 beta 1) (.f64 alpha alpha)))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (/.f64 1 (/.f64 2 alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) (.f64 alpha alpha)))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (/.f64 1 (/.f64 (.f64 alpha 4) alpha)) (*.f64 (/.f64 (+.f64 beta 1) alpha) 4))
(.f64 1 (/.f64 (.f64 (+.f64 beta 1) (/.f64 4 alpha)) (/.f64 (*.f64 alpha 4) alpha)))
(.f64 1 (/.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) 8) (/.f64 (*.f64 alpha 8) alpha)))
(/.f64 (.f64 (+.f64 beta 1) (/.f64 4 alpha)) (/.f64 (.f64 alpha 4) alpha))
(.f64 (/.f64 (/.f64 1 alpha) alpha) (.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (/.f64 (/.f64 1/2 alpha) alpha) (.f64 alpha (+.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (.f64 (+.f64 beta 1) alpha) (/.f64 (/.f64 1 alpha) alpha))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (.f64 alpha (+.f64 beta (+.f64 beta 2))) (/.f64 (/.f64 1/2 alpha) alpha))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (.f64 alpha (/.f64 (+.f64 beta 1) alpha)) (/.f64 1 alpha))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (.f64 alpha (*.f64 (/.f64 (+.f64 beta 1) alpha) 2)) (/.f64 1/2 alpha))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (.f64 alpha (.f64 (+.f64 beta 1) 4)) (/.f64 (/.f64 1 (.f64 alpha 4)) alpha))
(/.f64 (+.f64 beta 1) alpha)
(.f64 (.f64 (/.f64 1 alpha) (+.f64 1/2 (/.f64 beta 2))) 2)
(/.f64 (+.f64 beta 1) alpha)
(.f64 (/.f64 (/.f64 1 (.f64 alpha 4)) alpha) (.f64 alpha (.f64 (+.f64 beta 1) 4)))
(/.f64 (+.f64 beta 1) alpha)
(pow.f64 (/.f64 (+.f64 beta 1) alpha) 1)
(/.f64 (+.f64 beta 1) alpha)
(neg.f64 (/.f64 (-.f64 -1 beta) alpha))
(/.f64 (+.f64 beta 1) alpha)

eval2.0s (4.9%)

Compiler: Compiled 21182 to 15601 computations (26.3% saved)

prune1.3s (3%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	814	2	816
Fresh	0	6	6
Picked	1	0	1
Done	0	9	9
Total	815	17	832

Error

0.1b

Counts

832 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	47.6b	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 3 alpha)) 2) 2)
✓	44.2b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	47.7b	(/.f64 (/.f64 2 alpha) 2)
▶	17.2b	(/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 -1 (/.f64 (-.f64 beta alpha) (.f64 2 (+.f64 alpha (+.f64 beta 2)))))) 2)
✓	44.2b	(/.f64 (-.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha)) 2)
▶	47.6b	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (neg.f64 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))))) 2)
✓	16.6b	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
▶	44.2b	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
✓	16.6b	(/.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
▶	31.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	17.1b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	18.7b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	34.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	58.2b	(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
▶	58.2b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
	48.8b	(/.f64 (*.f64 -1 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha))) 2)
✓	41.5b	(/.f64 2 2)

Compiler

Compiled 425 to 328 computations (22.8% saved)

localize141.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.0b

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

✓

1.9b

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

Compiler

Compiled 100 to 61 computations (39% saved)

series28.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite388.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`rational_best-simplify-52`
510×	`rational_best-simplify-1`
488×	`rational_best-simplify-47`
486×	`rational_best-simplify-53`
482×	`rational_best-simplify-65`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	141
1	93	141
2	250	103
3	972	99
4	7002	99

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (+.f64 -1 (/.f64 (+.f64 alpha (-.f64 alpha beta)) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (*.f64 alpha (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))) (/.f64 alpha (*.f64 -2 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1) (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1) (neg.f64 (-.f64 -1 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)) 3) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)) 3) (+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)) 1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (*.f64 -2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (*.f64 alpha (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (-.f64 (/.f64 beta (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (+.f64 -1 (/.f64 (+.f64 alpha (-.f64 alpha beta)) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) -1/2) (-.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 alpha 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 -1 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 -1 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 -1 (*.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2)))) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2))) (*.f64 2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2))))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2))))) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2))))) (*.f64 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(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2))) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 4 (*.f64 2 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1))))))

simplify630.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

908×	`rational_best-simplify-108`
778×	`rational_best-simplify-63`
712×	`rational_best-simplify-52`
668×	`rational_best-simplify-48`
592×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	578	15859
1	1736	13699
2	5513	13079

Stop Event

1×	node limit

Counts

243 → 422

Calls

Call 1

Inputs
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 1 (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 1 (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))
2
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
2
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 2)) (+.f64 1 (+.f64 (.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 2)) (+.f64 1 (+.f64 (.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(-.f64 (+.f64 (/.f64 beta alpha) (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 3))) (/.f64 (.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 3))) (/.f64 (.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))))
(*.f64 -1/2 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (.f64 1/2 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (.f64 -1/2 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (.f64 1/2 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 -1/2 (/.f64 alpha (+.f64 2 alpha))) (.f64 1/2 (.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (.f64 1/2 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (.f64 -1/2 (/.f64 alpha (+.f64 2 alpha))) (.f64 1/2 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))))
1/2
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1/2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) 1/2))
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(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1/2)
(.f64 (.f64 (-.f64 beta alpha) 4) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) 8)))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))
(.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))))
(.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 2))) (.f64 (-.f64 beta alpha) 2))
(.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 2))) (.f64 (*.f64 2 (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
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(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(.f64 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))
(.f64 (.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/4)
(.f64 1/4 (.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
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(.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (*.f64 (-.f64 beta alpha) 1/2)))
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(.f64 (+.f64 (/.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) 1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(.f64 (+.f64 (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) -1) (.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1)
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(+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2)))) -2) 1)
(+.f64 (-.f64 -1 (.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))) (.f64 alpha (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
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(.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (.f64 -2 (+.f64 alpha (+.f64 beta 2))))))
(.f64 (+.f64 (.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1) -1)
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2)) 1/2)
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Outputs
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))
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(+.f64 1 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))))
(-.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 -1 (/.f64 alpha (+.f64 alpha 2))))
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(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (.f64 alpha (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 (.f64 -1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (*.f64 alpha (/.f64 -1 (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) 1)))
(+.f64 1 (+.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) (.f64 (pow.f64 beta 2) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))))
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2
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2
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(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
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(/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha)
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(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha))
(.f64 (-.f64 (.f64 -1 beta) (+.f64 2 beta)) (/.f64 -1 alpha))
(neg.f64 (/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) alpha))
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(*.f64 -1/2 (/.f64 alpha (+.f64 2 alpha)))
(*.f64 alpha (/.f64 -1/2 (+.f64 alpha 2)))
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1/2
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(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(.f64 (/.f64 1 (.f64 2 (.f64 (+.f64 alpha (+.f64 beta 2)) 8))) (.f64 2 (*.f64 (-.f64 beta alpha) 4)))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(.f64 (.f64 (-.f64 beta alpha) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(.f64 (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (.f64 (-.f64 beta alpha) 1/2)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(.f64 (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (.f64 (-.f64 beta alpha) 2)) (/.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 2))) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(.f64 (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(.f64 (.f64 (*.f64 2 (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1/4 (+.f64 alpha (+.f64 beta 2))))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(.f64 (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (.f64 (-.f64 beta alpha) 4)) (/.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) 8)) (.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (.f64 (-.f64 beta alpha) (.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (*.f64 (-.f64 beta alpha) 1/2)))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(.f64 (/.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 2))) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (*.f64 (-.f64 beta alpha) 2)))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(.f64 (/.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) 8)) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (.f64 (-.f64 beta alpha) 4)))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 (/.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) 1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 1 (/.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (+.f64 alpha (+.f64 2 beta)))))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 1 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (.f64 2 (+.f64 alpha (+.f64 2 beta))))))
(.f64 (+.f64 (.f64 (.f64 2 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) -1) (.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(neg.f64 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(+.f64 -1 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2)))))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(+.f64 -1 (-.f64 -1 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) -1)))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(+.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2))))) 0)
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(+.f64 0 (+.f64 -1 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2))))))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(+.f64 (.f64 alpha (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 -1 (.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2)))) -1)
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2)))) -2) 1)
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(+.f64 (-.f64 -1 (.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))) (.f64 alpha (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(+.f64 (+.f64 -1 (/.f64 (-.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (/.f64 (-.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 4)))
(+.f64 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))) 4) (+.f64 -1 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))) 4)))
(+.f64 -1 (/.f64 (-.f64 alpha beta) (*.f64 2 (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 (-.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (+.f64 -1 (/.f64 (-.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 4))))
(+.f64 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))) 4) (+.f64 -1 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))) 4)))
(+.f64 -1 (/.f64 (-.f64 alpha beta) (*.f64 2 (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 (-.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 -2 (+.f64 alpha (+.f64 beta 2)))) -2) 2))
(+.f64 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))) 4) (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))) 2) -1))
(+.f64 -1 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 alpha beta) (*.f64 4 (+.f64 alpha (+.f64 2 beta))))))
(+.f64 (+.f64 (/.f64 (-.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) -1/2) (+.f64 (/.f64 (-.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) -1/2))
(+.f64 (+.f64 -1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))) 4)) (+.f64 -1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))) 4)))
(+.f64 -1/2 (+.f64 -1/2 (/.f64 (-.f64 alpha beta) (*.f64 2 (+.f64 alpha (+.f64 2 beta))))))
(+.f64 (/.f64 alpha (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (-.f64 (/.f64 alpha (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (+.f64 1 (*.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 (/.f64 alpha (.f64 4 (+.f64 alpha (+.f64 2 beta)))) (-.f64 (/.f64 alpha (.f64 4 (+.f64 alpha (+.f64 2 beta)))) (+.f64 1 (*.f64 1/2 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))
(+.f64 (/.f64 alpha (.f64 4 (+.f64 alpha (+.f64 2 beta)))) (+.f64 (-.f64 (/.f64 alpha (.f64 4 (+.f64 alpha (+.f64 2 beta)))) (*.f64 1/2 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) -1))
(+.f64 (-.f64 (/.f64 alpha (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (+.f64 1 (.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))) (/.f64 alpha (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)))
(+.f64 (/.f64 alpha (.f64 4 (+.f64 alpha (+.f64 2 beta)))) (-.f64 (/.f64 alpha (.f64 4 (+.f64 alpha (+.f64 2 beta)))) (+.f64 1 (*.f64 1/2 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))
(+.f64 (/.f64 alpha (.f64 4 (+.f64 alpha (+.f64 2 beta)))) (+.f64 (-.f64 (/.f64 alpha (.f64 4 (+.f64 alpha (+.f64 2 beta)))) (*.f64 1/2 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) -1))
(+.f64 (-.f64 (/.f64 alpha (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (.f64 beta (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)) -1))
(+.f64 (-.f64 (/.f64 alpha (.f64 4 (+.f64 alpha (+.f64 2 beta)))) (.f64 1/2 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (+.f64 -1 (/.f64 alpha (*.f64 4 (+.f64 alpha (+.f64 2 beta))))))
(+.f64 -1 (+.f64 (/.f64 alpha (.f64 4 (+.f64 alpha (+.f64 2 beta)))) (-.f64 (/.f64 alpha (.f64 4 (+.f64 alpha (+.f64 2 beta)))) (*.f64 1/2 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))
(.f64 -1 (+.f64 (.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (.f64 -2 (+.f64 alpha (+.f64 beta 2))))) 1)
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (.f64 -2 (+.f64 alpha (+.f64 beta 2))))))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 (.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1) -1)
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2)) 1/2)
(*.f64 1/2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -2)))
(*.f64 1/2 (-.f64 -2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 1/2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2)))
(*.f64 1/2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -2)))
(*.f64 1/2 (-.f64 -2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(.f64 (.f64 2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2))) 1/4)
(*.f64 1/2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -2)))
(*.f64 1/2 (-.f64 -2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(.f64 1/4 (.f64 2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2))))
(*.f64 1/2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -2)))
(*.f64 1/2 (-.f64 -2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2))))) 1)
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1) -1)
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2)) 2)
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2))) 4)
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 (.f64 2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2))) (.f64 2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2)))) 8)
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2))))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (.f64 -2 (+.f64 alpha (+.f64 beta 2))))) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (.f64 -2 (+.f64 alpha (+.f64 beta 2))))) (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (/.f64 1/4 (+.f64 alpha (+.f64 beta 2))))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2)) (+.f64 alpha (+.f64 beta 2))) (/.f64 2 (+.f64 alpha (+.f64 beta 2))))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2)) (*.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (*.f64 2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2))) (+.f64 alpha (+.f64 beta 2))) (/.f64 4 (+.f64 alpha (+.f64 beta 2))))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (.f64 2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2))) (.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 4 (*.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (.f64 2 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2))) (.f64 (+.f64 alpha (+.f64 beta 2)) 4)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (*.f64 -2 (+.f64 alpha (+.f64 beta 2))))) 1)
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))
(neg.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) 1))
(+.f64 -1 (/.f64 (/.f64 (-.f64 beta alpha) -2) (+.f64 alpha (+.f64 2 beta))))

localize53.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite258.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`rational_best-simplify-82`
748×	`rational_best-simplify-50`
742×	`rational_best-simplify-64`
668×	`rational_best-simplify-51`
650×	`rational_best-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	50	13
2	120	13
3	355	13
4	1584	13

Stop Event

1×	node limit

Counts

1 → 69

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 beta alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 1/2 alpha)) (*.f64 3/2 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/2 (/.f64 beta alpha)) (*.f64 beta (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (*.f64 alpha 4)) (+.f64 (/.f64 beta (*.f64 alpha 4)) (*.f64 3/2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3/2 (/.f64 beta alpha)) 2) (+.f64 (/.f64 beta (*.f64 alpha 4)) (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 3/2 (/.f64 beta alpha)) -1) (neg.f64 (+.f64 1 (/.f64 beta (*.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 3/2 (/.f64 beta alpha)) (+.f64 -1 (/.f64 beta (*.f64 alpha -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta (*.f64 alpha 4)) (neg.f64 (/.f64 beta alpha))) (-.f64 (/.f64 beta (*.f64 alpha 4)) (/.f64 beta (*.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (neg.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 beta alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -2 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 beta (/.f64 1/2 alpha)) (*.f64 -3/2 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3/2 (/.f64 beta alpha)) (/.f64 beta (*.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 beta (*.f64 alpha 4)) (/.f64 beta (*.f64 alpha -2))) (-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 beta (*.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 beta (/.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta alpha) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta beta) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (/.f64 1/2 alpha)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta 4) (+.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (/.f64 4 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta -2) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta beta) 4) (*.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (/.f64 8 alpha)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta -4) (*.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta 4) (*.f64 alpha alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta beta) 8) (*.f64 alpha 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 beta alpha) 16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 beta alpha) 16) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 beta alpha)) (*.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha (*.f64 beta 4)) (*.f64 2 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (*.f64 beta 4)) (*.f64 (+.f64 alpha alpha) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta 4) 1/2) (*.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta 4) 1/2) (/.f64 (+.f64 alpha alpha) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta beta) 1/2) (+.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 beta 4) (*.f64 alpha alpha)) 8) (/.f64 1/2 (+.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 beta alpha) (*.f64 beta alpha)) (*.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 beta alpha)) (*.f64 2 (*.f64 beta alpha))) (*.f64 2 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 alpha (*.f64 beta 4)) (*.f64 alpha (*.f64 beta 4))) (*.f64 alpha (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 beta beta) 8) (*.f64 (+.f64 beta beta) 8)) (*.f64 (+.f64 alpha alpha) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 beta (*.f64 alpha alpha)) alpha) (/.f64 (/.f64 beta (*.f64 alpha alpha)) alpha)) (/.f64 (/.f64 1 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (/.f64 beta alpha) (/.f64 2 alpha)) alpha) (/.f64 (*.f64 (/.f64 beta alpha) (/.f64 2 alpha)) alpha)) (/.f64 (/.f64 2 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 beta 4) (*.f64 alpha alpha)) (/.f64 (*.f64 beta 4) (*.f64 alpha alpha))) (/.f64 4 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 alpha alpha)) (/.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 alpha alpha))) (/.f64 (/.f64 1/2 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (+.f64 beta beta) 4)) (*.f64 (+.f64 alpha alpha) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (*.f64 (+.f64 beta beta) 4)) (*.f64 (*.f64 alpha 4) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha alpha) (*.f64 beta 4)) (*.f64 alpha (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 alpha 4) (*.f64 (+.f64 beta beta) 4)) (*.f64 (*.f64 alpha 4) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 alpha 4) (*.f64 beta (/.f64 8 alpha))) (*.f64 (+.f64 alpha alpha) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 beta (*.f64 alpha alpha))) (*.f64 (/.f64 1/2 alpha) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 beta 4) (*.f64 alpha alpha))) (/.f64 4 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 (*.f64 beta (/.f64 8 alpha)) alpha)) (*.f64 (/.f64 4 alpha) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 beta alpha)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 alpha 2) (+.f64 beta beta)) (*.f64 alpha (/.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha alpha) (*.f64 (+.f64 beta beta) 4)) (*.f64 alpha (*.f64 alpha 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 alpha 4) (*.f64 (+.f64 beta beta) 8)) (*.f64 (*.f64 alpha 8) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 alpha 2) beta) (*.f64 (/.f64 alpha 2) (/.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 alpha) (*.f64 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 (+.f64 beta beta) 4)) (*.f64 alpha -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 beta 4) (/.f64 8 alpha)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 beta beta) 4) (/.f64 4 alpha)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 8 alpha) (*.f64 beta 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 beta beta) 4) (/.f64 1 alpha)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 beta (*.f64 alpha alpha)) alpha) 2) (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)))))

simplify242.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1082×	`rational_best-simplify-54`
880×	`rational_best-simplify-64`
856×	`rational_best-simplify-65`
808×	`rational_best-simplify-1`
752×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	1563
1	665	1387
2	2503	1239

Stop Event

1×	node limit

Counts

69 → 91

Calls

Call 1

Inputs
(+.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0)
(+.f64 0 (*.f64 2 (/.f64 beta alpha)))
(+.f64 (.f64 beta (/.f64 1/2 alpha)) (.f64 3/2 (/.f64 beta alpha)))
(+.f64 (.f64 3/2 (/.f64 beta alpha)) (.f64 beta (/.f64 1/2 alpha)))
(+.f64 (/.f64 beta (.f64 alpha 4)) (+.f64 (/.f64 beta (.f64 alpha 4)) (*.f64 3/2 (/.f64 beta alpha))))
(+.f64 (/.f64 (.f64 3/2 (/.f64 beta alpha)) 2) (+.f64 (/.f64 beta (.f64 alpha 4)) (/.f64 beta alpha)))
(+.f64 (-.f64 (.f64 3/2 (/.f64 beta alpha)) -1) (neg.f64 (+.f64 1 (/.f64 beta (.f64 alpha -2)))))
(+.f64 (-.f64 (.f64 3/2 (/.f64 beta alpha)) (+.f64 -1 (/.f64 beta (.f64 alpha -2)))) -1)
(+.f64 (-.f64 (/.f64 beta (.f64 alpha 4)) (neg.f64 (/.f64 beta alpha))) (-.f64 (/.f64 beta (.f64 alpha 4)) (/.f64 beta (*.f64 alpha -2))))
(-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 beta alpha)))
(-.f64 (*.f64 2 (/.f64 beta alpha)) 0)
(-.f64 0 (*.f64 -2 (/.f64 beta alpha)))
(-.f64 (.f64 beta (/.f64 1/2 alpha)) (.f64 -3/2 (/.f64 beta alpha)))
(-.f64 (.f64 3/2 (/.f64 beta alpha)) (/.f64 beta (.f64 alpha -2)))
(-.f64 (-.f64 (/.f64 beta (.f64 alpha 4)) (/.f64 beta (.f64 alpha -2))) (-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 beta (*.f64 alpha 4))))
(/.f64 beta (/.f64 alpha 2))
(/.f64 (/.f64 beta alpha) 1/2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 1)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (*.f64 beta (/.f64 1/2 alpha)) 1/4)
(/.f64 (*.f64 beta 4) (+.f64 alpha alpha))
(/.f64 (*.f64 beta (/.f64 4 alpha)) 2)
(/.f64 (*.f64 beta -2) (neg.f64 alpha))
(/.f64 (.f64 (+.f64 beta beta) 4) (.f64 alpha 4))
(/.f64 (*.f64 beta (/.f64 8 alpha)) 4)
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(/.f64 (*.f64 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 1 alpha))
(/.f64 (.f64 beta -4) (.f64 alpha -2))
(/.f64 (/.f64 (.f64 beta 4) (.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (.f64 (+.f64 beta beta) 8) (.f64 alpha 8))
(/.f64 (.f64 2 (.f64 (/.f64 beta alpha) 16)) 16)
(/.f64 (*.f64 (/.f64 beta alpha) 16) 8)
(/.f64 (.f64 2 (.f64 beta alpha)) (*.f64 alpha alpha))
(/.f64 (.f64 alpha (.f64 beta 4)) (.f64 2 (.f64 alpha alpha)))
(/.f64 (.f64 8 (.f64 beta 4)) (*.f64 (+.f64 alpha alpha) 8))
(/.f64 (/.f64 (.f64 beta 4) 1/2) (.f64 alpha 4))
(/.f64 (/.f64 (*.f64 beta 4) 1/2) (/.f64 (+.f64 alpha alpha) 1/2))
(/.f64 (/.f64 (+.f64 beta beta) 1/2) (+.f64 alpha alpha))
(/.f64 (/.f64 (/.f64 (.f64 beta 4) (.f64 alpha alpha)) 8) (/.f64 1/2 (+.f64 alpha alpha)))
(/.f64 (+.f64 (.f64 beta alpha) (.f64 beta alpha)) (*.f64 alpha alpha))
(/.f64 (+.f64 (.f64 2 (.f64 beta alpha)) (.f64 2 (.f64 beta alpha))) (.f64 2 (.f64 alpha alpha)))
(/.f64 (+.f64 (.f64 alpha (.f64 beta 4)) (.f64 alpha (.f64 beta 4))) (.f64 alpha (.f64 alpha 4)))
(/.f64 (+.f64 (.f64 (+.f64 beta beta) 8) (.f64 (+.f64 beta beta) 8)) (*.f64 (+.f64 alpha alpha) 8))
(/.f64 (+.f64 (/.f64 (/.f64 beta (.f64 alpha alpha)) alpha) (/.f64 (/.f64 beta (.f64 alpha alpha)) alpha)) (/.f64 (/.f64 1 alpha) alpha))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 beta alpha) (/.f64 2 alpha)) alpha) (/.f64 (.f64 (/.f64 beta alpha) (/.f64 2 alpha)) alpha)) (/.f64 (/.f64 2 alpha) alpha))
(/.f64 (+.f64 (/.f64 (.f64 beta 4) (.f64 alpha alpha)) (/.f64 (.f64 beta 4) (.f64 alpha alpha))) (/.f64 4 alpha))
(/.f64 (+.f64 (/.f64 (/.f64 beta (.f64 alpha alpha)) (+.f64 alpha alpha)) (/.f64 (/.f64 beta (.f64 alpha alpha)) (+.f64 alpha alpha))) (/.f64 (/.f64 1/2 alpha) alpha))
(/.f64 (.f64 4 (.f64 (+.f64 beta beta) 4)) (*.f64 (+.f64 alpha alpha) 8))
(/.f64 (.f64 8 (.f64 (+.f64 beta beta) 4)) (.f64 (.f64 alpha 4) 8))
(/.f64 (.f64 (+.f64 alpha alpha) (.f64 beta 4)) (.f64 alpha (.f64 alpha 4)))
(/.f64 (.f64 (.f64 alpha 4) (.f64 (+.f64 beta beta) 4)) (.f64 (.f64 alpha 4) (.f64 alpha 4)))
(/.f64 (.f64 (.f64 alpha 4) (.f64 beta (/.f64 8 alpha))) (.f64 (+.f64 alpha alpha) 8))
(/.f64 (.f64 1/2 (/.f64 beta (.f64 alpha alpha))) (*.f64 (/.f64 1/2 alpha) 1/2))
(/.f64 (.f64 2 (/.f64 (.f64 beta 4) (*.f64 alpha alpha))) (/.f64 4 alpha))
(/.f64 (.f64 4 (/.f64 (.f64 beta (/.f64 8 alpha)) alpha)) (*.f64 (/.f64 4 alpha) 4))
(/.f64 (*.f64 1/2 (/.f64 beta alpha)) 1/4)
(/.f64 (.f64 (/.f64 alpha 2) (+.f64 beta beta)) (.f64 alpha (/.f64 alpha 2)))
(/.f64 (.f64 (+.f64 alpha alpha) (.f64 (+.f64 beta beta) 4)) (.f64 alpha (.f64 alpha 8)))
(/.f64 (.f64 (.f64 alpha 4) (.f64 (+.f64 beta beta) 8)) (.f64 (.f64 alpha 8) (.f64 alpha 4)))
(/.f64 (.f64 (/.f64 alpha 2) beta) (.f64 (/.f64 alpha 2) (/.f64 alpha 2)))
(/.f64 (.f64 (/.f64 1 alpha) (.f64 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(/.f64 (-.f64 0 (.f64 (+.f64 beta beta) 4)) (.f64 alpha -4))
(/.f64 (.f64 (.f64 beta 4) (/.f64 8 alpha)) 16)
(/.f64 (.f64 (.f64 (+.f64 beta beta) 4) (/.f64 4 alpha)) 16)
(/.f64 (.f64 (/.f64 8 alpha) (.f64 beta 4)) 16)
(/.f64 (.f64 (.f64 (+.f64 beta beta) 4) (/.f64 1 alpha)) 4)
(/.f64 (.f64 (/.f64 (/.f64 beta (.f64 alpha alpha)) alpha) 2) (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)

Outputs
(+.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(+.f64 0 (*.f64 2 (/.f64 beta alpha)))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(+.f64 (.f64 beta (/.f64 1/2 alpha)) (.f64 3/2 (/.f64 beta alpha)))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(+.f64 (.f64 3/2 (/.f64 beta alpha)) (.f64 beta (/.f64 1/2 alpha)))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(+.f64 (/.f64 beta (.f64 alpha 4)) (+.f64 (/.f64 beta (.f64 alpha 4)) (*.f64 3/2 (/.f64 beta alpha))))
(+.f64 (/.f64 beta (.f64 alpha 4)) (+.f64 (.f64 beta (/.f64 3/2 alpha)) (/.f64 beta (*.f64 alpha 4))))
(+.f64 (*.f64 beta (/.f64 3/2 alpha)) (/.f64 (/.f64 (/.f64 beta alpha) 1/2) 4))
(+.f64 (.f64 beta (/.f64 3/2 alpha)) (/.f64 (.f64 beta (/.f64 2 alpha)) 4))
(+.f64 (/.f64 (.f64 3/2 (/.f64 beta alpha)) 2) (+.f64 (/.f64 beta (.f64 alpha 4)) (/.f64 beta alpha)))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (.f64 alpha 4)) (/.f64 (.f64 beta (/.f64 3/2 alpha)) 2)))
(+.f64 (/.f64 beta alpha) (/.f64 (+.f64 (/.f64 beta alpha) (*.f64 (/.f64 beta alpha) 3)) 4))
(+.f64 (/.f64 (*.f64 beta (/.f64 3/2 alpha)) 2) (/.f64 (+.f64 beta (/.f64 beta 4)) alpha))
(+.f64 (-.f64 (.f64 3/2 (/.f64 beta alpha)) -1) (neg.f64 (+.f64 1 (/.f64 beta (.f64 alpha -2)))))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(+.f64 (-.f64 (.f64 3/2 (/.f64 beta alpha)) (+.f64 -1 (/.f64 beta (.f64 alpha -2)))) -1)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(+.f64 (-.f64 (/.f64 beta (.f64 alpha 4)) (neg.f64 (/.f64 beta alpha))) (-.f64 (/.f64 beta (.f64 alpha 4)) (/.f64 beta (*.f64 alpha -2))))
(+.f64 (.f64 5 (/.f64 beta (.f64 alpha 4))) (-.f64 (/.f64 beta (.f64 alpha 4)) (/.f64 beta (.f64 alpha -2))))
(+.f64 (*.f64 (/.f64 (/.f64 beta 4) alpha) 5) (/.f64 (-.f64 (/.f64 beta 4) (/.f64 beta -2)) alpha))
(-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 beta alpha)))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(-.f64 (*.f64 2 (/.f64 beta alpha)) 0)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(-.f64 0 (*.f64 -2 (/.f64 beta alpha)))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(-.f64 (.f64 beta (/.f64 1/2 alpha)) (.f64 -3/2 (/.f64 beta alpha)))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(-.f64 (.f64 3/2 (/.f64 beta alpha)) (/.f64 beta (.f64 alpha -2)))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(-.f64 (-.f64 (/.f64 beta (.f64 alpha 4)) (/.f64 beta (.f64 alpha -2))) (-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 beta (*.f64 alpha 4))))
(-.f64 (/.f64 beta (.f64 alpha 4)) (+.f64 (-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 beta (.f64 alpha 4))) (/.f64 beta (*.f64 alpha -2))))
(-.f64 (-.f64 (/.f64 beta (.f64 alpha 4)) (.f64 -5 (/.f64 beta (.f64 alpha 4)))) (/.f64 beta (.f64 alpha -2)))
(-.f64 (/.f64 (-.f64 (/.f64 beta 4) (/.f64 beta -2)) alpha) (*.f64 (/.f64 (/.f64 beta 4) alpha) -5))
(/.f64 beta (/.f64 alpha 2))
(/.f64 (/.f64 beta alpha) 1/2)
(/.f64 (+.f64 beta beta) alpha)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 1)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (*.f64 beta (/.f64 1/2 alpha)) 1/4)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (*.f64 beta 4) (+.f64 alpha alpha))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (*.f64 beta (/.f64 4 alpha)) 2)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (*.f64 beta -2) (neg.f64 alpha))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (.f64 (+.f64 beta beta) 4) (.f64 alpha 4))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (*.f64 beta (/.f64 8 alpha)) 4)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (*.f64 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 1 alpha))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (.f64 beta -4) (.f64 alpha -2))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (/.f64 (.f64 beta 4) (.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (.f64 (+.f64 beta beta) 8) (.f64 alpha 8))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (.f64 2 (.f64 (/.f64 beta alpha) 16)) 16)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (*.f64 (/.f64 beta alpha) 16) 8)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (.f64 2 (.f64 beta alpha)) (*.f64 alpha alpha))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (.f64 alpha (.f64 beta 4)) (.f64 2 (.f64 alpha alpha)))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (.f64 8 (.f64 beta 4)) (*.f64 (+.f64 alpha alpha) 8))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (/.f64 (.f64 beta 4) 1/2) (.f64 alpha 4))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (/.f64 (*.f64 beta 4) 1/2) (/.f64 (+.f64 alpha alpha) 1/2))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (/.f64 (+.f64 beta beta) 1/2) (+.f64 alpha alpha))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (/.f64 (/.f64 (.f64 beta 4) (.f64 alpha alpha)) 8) (/.f64 1/2 (+.f64 alpha alpha)))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (+.f64 (.f64 beta alpha) (.f64 beta alpha)) (*.f64 alpha alpha))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (+.f64 (.f64 2 (.f64 beta alpha)) (.f64 2 (.f64 beta alpha))) (.f64 2 (.f64 alpha alpha)))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (+.f64 (.f64 alpha (.f64 beta 4)) (.f64 alpha (.f64 beta 4))) (.f64 alpha (.f64 alpha 4)))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (+.f64 (.f64 (+.f64 beta beta) 8) (.f64 (+.f64 beta beta) 8)) (*.f64 (+.f64 alpha alpha) 8))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (+.f64 (/.f64 (/.f64 beta (.f64 alpha alpha)) alpha) (/.f64 (/.f64 beta (.f64 alpha alpha)) alpha)) (/.f64 (/.f64 1 alpha) alpha))
(/.f64 (/.f64 (+.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 beta (.f64 alpha alpha))) alpha) (/.f64 1 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 (*.f64 alpha alpha)))
(-.f64 (.f64 beta (/.f64 2 alpha)) (/.f64 0 (.f64 alpha alpha)))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 beta alpha) (/.f64 2 alpha)) alpha) (/.f64 (.f64 (/.f64 beta alpha) (/.f64 2 alpha)) alpha)) (/.f64 (/.f64 2 alpha) alpha))
(/.f64 (/.f64 (+.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 beta (.f64 alpha alpha))) alpha) (/.f64 1 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 (*.f64 alpha alpha)))
(-.f64 (.f64 beta (/.f64 2 alpha)) (/.f64 0 (.f64 alpha alpha)))
(/.f64 (+.f64 (/.f64 (.f64 beta 4) (.f64 alpha alpha)) (/.f64 (.f64 beta 4) (.f64 alpha alpha))) (/.f64 4 alpha))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (+.f64 (/.f64 (/.f64 beta (.f64 alpha alpha)) (+.f64 alpha alpha)) (/.f64 (/.f64 beta (.f64 alpha alpha)) (+.f64 alpha alpha))) (/.f64 (/.f64 1/2 alpha) alpha))
(/.f64 (/.f64 (+.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 beta (.f64 alpha alpha))) alpha) (/.f64 1 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 (*.f64 alpha alpha)))
(-.f64 (.f64 beta (/.f64 2 alpha)) (/.f64 0 (.f64 alpha alpha)))
(/.f64 (.f64 4 (.f64 (+.f64 beta beta) 4)) (*.f64 (+.f64 alpha alpha) 8))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (.f64 8 (.f64 (+.f64 beta beta) 4)) (.f64 (.f64 alpha 4) 8))
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (.f64 (+.f64 alpha alpha) (.f64 beta 4)) (.f64 alpha (.f64 alpha 4)))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (.f64 (.f64 alpha 4) (.f64 (+.f64 beta beta) 4)) (.f64 (.f64 alpha 4) (.f64 alpha 4)))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (.f64 (.f64 alpha 4) (.f64 beta (/.f64 8 alpha))) (.f64 (+.f64 alpha alpha) 8))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (.f64 1/2 (/.f64 beta (.f64 alpha alpha))) (*.f64 (/.f64 1/2 alpha) 1/2))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (.f64 2 (/.f64 (.f64 beta 4) (*.f64 alpha alpha))) (/.f64 4 alpha))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (.f64 4 (/.f64 (.f64 beta (/.f64 8 alpha)) alpha)) (*.f64 (/.f64 4 alpha) 4))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (*.f64 1/2 (/.f64 beta alpha)) 1/4)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (.f64 (/.f64 alpha 2) (+.f64 beta beta)) (.f64 alpha (/.f64 alpha 2)))
(+.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 (/.f64 alpha 2)))
(/.f64 (+.f64 beta 0) (/.f64 alpha 2))
(/.f64 (.f64 (+.f64 alpha alpha) (.f64 (+.f64 beta beta) 4)) (.f64 alpha (.f64 alpha 8)))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (.f64 (.f64 alpha 4) (.f64 (+.f64 beta beta) 8)) (.f64 (.f64 alpha 8) (.f64 alpha 4)))
(/.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 alpha))
(/.f64 (-.f64 (+.f64 beta beta) 0) alpha)
(/.f64 (.f64 (/.f64 alpha 2) beta) (.f64 (/.f64 alpha 2) (/.f64 alpha 2)))
(/.f64 (.f64 (/.f64 alpha 2) (+.f64 beta beta)) (.f64 alpha (/.f64 alpha 2)))
(+.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 (/.f64 alpha 2)))
(/.f64 (+.f64 beta 0) (/.f64 alpha 2))
(/.f64 (.f64 (/.f64 1 alpha) (.f64 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 beta (.f64 alpha alpha))) alpha) (/.f64 1 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 (*.f64 alpha alpha)))
(-.f64 (.f64 beta (/.f64 2 alpha)) (/.f64 0 (.f64 alpha alpha)))
(/.f64 (-.f64 0 (.f64 (+.f64 beta beta) 4)) (.f64 alpha -4))
(/.f64 (neg.f64 (.f64 4 (+.f64 beta beta))) (.f64 alpha -4))
(/.f64 (neg.f64 (.f64 beta 8)) (.f64 alpha -4))
(/.f64 (/.f64 beta -1/8) (*.f64 alpha -4))
(/.f64 (.f64 (.f64 beta 4) (/.f64 8 alpha)) 16)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (.f64 (.f64 (+.f64 beta beta) 4) (/.f64 4 alpha)) 16)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (.f64 (/.f64 8 alpha) (.f64 beta 4)) 16)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (.f64 (.f64 (+.f64 beta beta) 4) (/.f64 1 alpha)) 4)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (.f64 (/.f64 (/.f64 beta (.f64 alpha alpha)) alpha) 2) (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 beta (.f64 alpha alpha))) alpha) (/.f64 1 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 beta alpha) 1/2) (/.f64 0 (*.f64 alpha alpha)))
(-.f64 (.f64 beta (/.f64 2 alpha)) (/.f64 0 (.f64 alpha alpha)))
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)
(/.f64 (+.f64 beta beta) alpha)
(/.f64 (/.f64 beta alpha) 1/2)
(*.f64 beta (/.f64 2 alpha))

localize59.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 alpha (+.f64 alpha 2))
✓	1.5b	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series11.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	alpha	@	-inf	(/.f64 alpha (+.f64 alpha 2))
0.0ms	alpha	@	inf	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
0.0ms	alpha	@	-inf	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
0.0ms	alpha	@	0	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
0.0ms	alpha	@	inf	(/.f64 alpha (+.f64 alpha 2))

rewrite297.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`rational_best-4`
922×	`rational_best-2`
922×	`rational_best-3`
922×	`rational_best-1`
922×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	53	32
2	119	32
3	402	32
4	2181	32

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))) (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)) (+.f64 1 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)) (/.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))) (+.f64 1/2 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))) 2) (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) -2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) -2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 alpha 2) (/.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2))) (/.f64 2 (+.f64 alpha 2)))) (+.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 alpha (+.f64 alpha 4)) (+.f64 alpha alpha)) (+.f64 alpha (+.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 -2 alpha) (neg.f64 alpha)) (-.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 alpha 2) 4) (*.f64 alpha 4)) (*.f64 (+.f64 alpha 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (/.f64 alpha 2)) (/.f64 alpha 2)) (+.f64 1 (/.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2 (*.f64 2 (/.f64 alpha (+.f64 alpha 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (+.f64 alpha 2) 8)) (*.f64 (+.f64 alpha alpha) 8)) (*.f64 2 (*.f64 (+.f64 alpha 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 alpha 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 alpha (+.f64 alpha 4))) (/.f64 alpha (+.f64 alpha (+.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) 4)) (/.f64 (*.f64 alpha 3) (*.f64 (+.f64 alpha 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 alpha 3) (*.f64 (+.f64 alpha 2) 4)) (/.f64 alpha (*.f64 (+.f64 alpha 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 alpha (+.f64 alpha 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 alpha (-.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 alpha (+.f64 alpha (+.f64 alpha 4))) (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 alpha (+.f64 alpha (+.f64 alpha 4))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 alpha 4))) (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) 4)) (-.f64 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)) (/.f64 alpha (*.f64 (+.f64 alpha 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 alpha 3) (*.f64 (+.f64 alpha 2) 4)) (/.f64 alpha (*.f64 (+.f64 alpha 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 alpha 3) (*.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) -4)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) 4)) (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))) (-.f64 0 (/.f64 alpha (*.f64 (+.f64 alpha 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) 4)) (+.f64 1 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)))) (-.f64 -1 (/.f64 alpha (*.f64 (+.f64 alpha 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) 4)) 1) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 alpha 4)))) (/.f64 alpha (*.f64 (+.f64 alpha 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha 3) (*.f64 (+.f64 alpha 2) 4))) (-.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) 4)) (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (*.f64 2 (/.f64 1/2 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 alpha (+.f64 alpha (+.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 alpha (+.f64 alpha 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 alpha (/.f64 1/2 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 alpha alpha) (/.f64 1 (*.f64 (+.f64 alpha 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 2) (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha alpha) (/.f64 1/2 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha alpha) (*.f64 1/2 (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha alpha) (*.f64 (/.f64 1 (+.f64 alpha 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha alpha) (*.f64 2 (/.f64 1 (*.f64 (+.f64 alpha 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha alpha) (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 1/2 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 alpha) (/.f64 1 (-.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 alpha) (*.f64 -2 (/.f64 1/2 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 alpha (+.f64 alpha 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha 4) (/.f64 1 (*.f64 (+.f64 alpha 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha 4) (*.f64 (/.f64 1/2 (+.f64 alpha 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha 4) (*.f64 1/2 (/.f64 1/2 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha 4) (-.f64 (/.f64 1/2 (+.f64 alpha 2)) (/.f64 1 (*.f64 (+.f64 alpha 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 alpha (-.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 alpha (/.f64 1 (*.f64 (+.f64 alpha 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) 4) (*.f64 2 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 (+.f64 alpha alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 alpha 2)) (-.f64 (*.f64 alpha 4) (+.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) 4)) (*.f64 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) 4)) (*.f64 (*.f64 (+.f64 alpha alpha) 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) 4)) (-.f64 (*.f64 (+.f64 alpha alpha) 4) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha -2) (/.f64 -1 (+.f64 alpha (+.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha -2) (-.f64 0 (/.f64 1/2 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha alpha) 4) (/.f64 1/2 (*.f64 (+.f64 alpha 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha alpha) 4) (*.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha alpha) 4) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) 4)) (/.f64 1/2 (*.f64 (+.f64 alpha 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha 2))) (/.f64 1 (/.f64 2 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha -4) (-.f64 0 (/.f64 1 (*.f64 (+.f64 alpha 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 alpha (+.f64 alpha 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 alpha 4) (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -2 alpha)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (+.f64 alpha 2) 4)) (*.f64 (+.f64 alpha alpha) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (+.f64 alpha 2))) (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha (+.f64 alpha 2)) (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha alpha)) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha 4)) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha (+.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha 2)) (*.f64 (+.f64 alpha 2) (+.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha (+.f64 alpha 4))) (*.f64 (+.f64 alpha 2) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (-.f64 -2 alpha)))))))

simplify296.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

906×	`rational_best-simplify-55`
878×	`rational_best-simplify-108`
846×	`rational_best-simplify-1`
716×	`rational_best-simplify-49`
714×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	2571
1	695	2571
2	2023	2187

Stop Event

1×	node limit

Counts

135 → 157

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 1/2 alpha)
(+.f64 (.f64 1/2 alpha) (.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (.f64 -1/4 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 0)
(+.f64 0 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)
(+.f64 (+.f64 1 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))) (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)))
(+.f64 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)) (+.f64 1 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))))
(+.f64 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)) (/.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))) 2))
(+.f64 (+.f64 1/2 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))) (+.f64 1/2 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))) 2) (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)))
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(.f64 2 (.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1/2))
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1) -1)
(.f64 (-.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) -2) -2) 1/2)
(*.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(.f64 1/2 (-.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) -2) -2))
(.f64 (.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 4))
(/.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(/.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1) -1)
(/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) -2) -2) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 4) 4)
(/.f64 (+.f64 1/2 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))) 1/2)
(/.f64 (.f64 2 (.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 4)) 8)
(/.f64 (-.f64 (+.f64 alpha 2) (/.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2))) (/.f64 2 (+.f64 alpha 2)))) (+.f64 alpha 2))
(/.f64 (-.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2))
(/.f64 (-.f64 (+.f64 alpha (+.f64 alpha 4)) (+.f64 alpha alpha)) (+.f64 alpha (+.f64 alpha 4)))
(/.f64 (-.f64 (-.f64 -2 alpha) (neg.f64 alpha)) (-.f64 -2 alpha))
(/.f64 (-.f64 (.f64 (+.f64 alpha 2) 4) (.f64 alpha 4)) (*.f64 (+.f64 alpha 2) 4))
(/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (/.f64 1 (+.f64 alpha 2)))
(/.f64 (-.f64 (+.f64 1 (/.f64 alpha 2)) (/.f64 alpha 2)) (+.f64 1 (/.f64 alpha 2)))
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 4 (*.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) 4)
(/.f64 (-.f64 (.f64 2 (.f64 (+.f64 alpha 2) 8)) (.f64 (+.f64 alpha alpha) 8)) (.f64 2 (*.f64 (+.f64 alpha 2) 8)))
(/.f64 (.f64 4 (.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 4)) 16)
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(+.f64 0 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 alpha 4))) (/.f64 alpha (+.f64 alpha (+.f64 alpha 4))))
(+.f64 (/.f64 alpha (.f64 (+.f64 alpha 2) 4)) (/.f64 (.f64 alpha 3) (*.f64 (+.f64 alpha 2) 4)))
(+.f64 (/.f64 (.f64 alpha 3) (.f64 (+.f64 alpha 2) 4)) (/.f64 alpha (*.f64 (+.f64 alpha 2) 4)))
(-.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(-.f64 0 (/.f64 alpha (-.f64 -2 alpha)))
(-.f64 (/.f64 alpha (+.f64 alpha (+.f64 alpha 4))) (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)))
(-.f64 (/.f64 alpha (+.f64 alpha (+.f64 alpha 4))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 alpha 4))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (/.f64 alpha (.f64 (+.f64 alpha 2) 4)) (-.f64 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)) (/.f64 alpha (.f64 (+.f64 alpha 2) 4))))
(-.f64 (/.f64 (.f64 alpha 3) (.f64 (+.f64 alpha 2) 4)) (/.f64 alpha (*.f64 (+.f64 alpha 2) -4)))
(-.f64 (/.f64 (.f64 alpha 3) (.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) -4)) 0))
(-.f64 (-.f64 (/.f64 alpha (.f64 (+.f64 alpha 2) 4)) (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))) (-.f64 0 (/.f64 alpha (.f64 (+.f64 alpha 2) 4))))
(-.f64 (-.f64 (/.f64 alpha (.f64 (+.f64 alpha 2) 4)) (+.f64 1 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)))) (-.f64 -1 (/.f64 alpha (.f64 (+.f64 alpha 2) 4))))
(-.f64 (-.f64 (/.f64 alpha (.f64 (+.f64 alpha 2) 4)) 1) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 alpha 4)))) (/.f64 alpha (.f64 (+.f64 alpha 2) 4))))
(-.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (.f64 alpha 3) (.f64 (+.f64 alpha 2) 4))) (-.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) 4)) (/.f64 alpha (+.f64 alpha 2))))
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(.f64 alpha (.f64 2 (/.f64 1/2 (+.f64 alpha 2))))
(*.f64 2 (/.f64 alpha (+.f64 alpha (+.f64 alpha 4))))
(.f64 2 (.f64 (/.f64 alpha (+.f64 alpha 2)) 1/2))
(.f64 2 (.f64 alpha (/.f64 1/2 (+.f64 alpha 2))))
(.f64 2 (.f64 (+.f64 alpha alpha) (/.f64 1 (*.f64 (+.f64 alpha 2) 4))))
(.f64 (+.f64 alpha 2) (/.f64 alpha (.f64 (+.f64 alpha 2) (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(*.f64 (+.f64 alpha alpha) (/.f64 1/2 (+.f64 alpha 2)))
(.f64 (+.f64 alpha alpha) (.f64 1/2 (/.f64 1 (+.f64 alpha 2))))
(.f64 (+.f64 alpha alpha) (.f64 (/.f64 1 (+.f64 alpha 2)) 1/2))
(.f64 (+.f64 alpha alpha) (.f64 2 (/.f64 1 (*.f64 (+.f64 alpha 2) 4))))
(*.f64 (+.f64 alpha alpha) (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 1/2 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)
(*.f64 -2 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)))
(*.f64 (neg.f64 alpha) (/.f64 1 (-.f64 -2 alpha)))
(.f64 (neg.f64 alpha) (.f64 -2 (/.f64 1/2 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 alpha 4))) 2)
(.f64 (.f64 2 (/.f64 alpha (+.f64 alpha 2))) 1/2)
(.f64 (.f64 alpha 4) (/.f64 1 (*.f64 (+.f64 alpha 2) 4)))
(.f64 (.f64 alpha 4) (*.f64 (/.f64 1/2 (+.f64 alpha 2)) 1/2))
(.f64 (.f64 alpha 4) (*.f64 1/2 (/.f64 1/2 (+.f64 alpha 2))))
(.f64 (.f64 alpha 4) (-.f64 (/.f64 1/2 (+.f64 alpha 2)) (/.f64 1 (*.f64 (+.f64 alpha 2) 4))))
(*.f64 -1 (/.f64 alpha (-.f64 -2 alpha)))
(.f64 4 (.f64 alpha (/.f64 1 (*.f64 (+.f64 alpha 2) 4))))
(.f64 1/2 (.f64 2 (/.f64 alpha (+.f64 alpha 2))))
(.f64 1/2 (-.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) 4) (*.f64 2 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)
(*.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 (+.f64 alpha alpha) alpha))
(*.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha alpha))
(.f64 (/.f64 1/2 (+.f64 alpha 2)) (-.f64 (.f64 alpha 4) (+.f64 alpha alpha)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) 4)) (*.f64 alpha 4))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) 4)) (.f64 (.f64 (+.f64 alpha alpha) 4) 1/2))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) 4)) (-.f64 (.f64 (+.f64 alpha alpha) 4) (.f64 alpha 4)))
(.f64 (.f64 alpha -2) (/.f64 -1 (+.f64 alpha (+.f64 alpha 4))))
(.f64 (.f64 alpha -2) (-.f64 0 (/.f64 1/2 (+.f64 alpha 2))))
(.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) 4) 1/4)
(.f64 (.f64 (+.f64 alpha alpha) 4) (/.f64 1/2 (*.f64 (+.f64 alpha 2) 4)))
(.f64 (.f64 (+.f64 alpha alpha) 4) (.f64 (/.f64 1 (.f64 (+.f64 alpha 2) 4)) 1/2))
(.f64 (.f64 (+.f64 alpha alpha) 4) (-.f64 (/.f64 1 (.f64 (+.f64 alpha 2) 4)) (/.f64 1/2 (.f64 (+.f64 alpha 2) 4))))
(.f64 (/.f64 alpha (.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 alpha 2))
(*.f64 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha 2))) (/.f64 1 (/.f64 2 (+.f64 alpha 2))))
(.f64 (.f64 alpha -4) (-.f64 0 (/.f64 1 (*.f64 (+.f64 alpha 2) 4))))
(.f64 1/4 (.f64 (/.f64 alpha (+.f64 alpha 2)) 4))
(.f64 1/4 (.f64 (*.f64 alpha 4) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (-.f64 -2 alpha)) (neg.f64 alpha))
(.f64 (/.f64 1/2 (.f64 (+.f64 alpha 2) 4)) (*.f64 (+.f64 alpha alpha) 4))
(*.f64 (/.f64 1 (/.f64 2 (+.f64 alpha 2))) (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha 2))))
(.f64 (.f64 alpha (+.f64 alpha 2)) (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 2)))
(.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha alpha)) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha 2)))
(.f64 (.f64 (+.f64 alpha 2) (*.f64 alpha 4)) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha (+.f64 alpha 4))))
(.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 2)) (.f64 alpha (+.f64 alpha 2)))
(.f64 (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha 2)) (.f64 (+.f64 alpha 2) (+.f64 alpha alpha)))
(.f64 (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha (+.f64 alpha 4))) (.f64 (+.f64 alpha 2) (*.f64 alpha 4)))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(neg.f64 (/.f64 alpha (-.f64 -2 alpha)))

Outputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/2 alpha) (+.f64 1 (.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(+.f64 (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2))) (+.f64 1 (*.f64 -1/8 (pow.f64 alpha 3))))
(+.f64 (+.f64 (.f64 -1/2 alpha) (+.f64 1 (.f64 1/4 (pow.f64 alpha 2)))) (*.f64 -1/8 (pow.f64 alpha 3)))
(+.f64 (+.f64 1 (.f64 -1/2 alpha)) (+.f64 (.f64 1/4 (pow.f64 alpha 2)) (*.f64 -1/8 (pow.f64 alpha 3))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 1 (/.f64 2 alpha)) (.f64 1 (/.f64 4 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 1 (/.f64 2 alpha)) (.f64 1 (/.f64 8 (pow.f64 alpha 3)))) (*.f64 1 (/.f64 4 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (/.f64 4 (pow.f64 alpha 2)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (.f64 1 (/.f64 2 alpha)) (.f64 1 (/.f64 8 (pow.f64 alpha 3)))) (+.f64 (.f64 1 (/.f64 4 (pow.f64 alpha 2))) (.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (.f64 1 (/.f64 2 alpha)) (.f64 1 (/.f64 8 (pow.f64 alpha 3)))) (+.f64 (.f64 1 (/.f64 4 (pow.f64 alpha 2))) (.f64 1 (/.f64 16 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 1 (/.f64 2 alpha)) (.f64 1 (/.f64 4 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 1 (/.f64 2 alpha)) (.f64 1 (/.f64 8 (pow.f64 alpha 3)))) (*.f64 1 (/.f64 4 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (/.f64 4 (pow.f64 alpha 2)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (.f64 1 (/.f64 2 alpha)) (.f64 1 (/.f64 8 (pow.f64 alpha 3)))) (+.f64 (.f64 1 (/.f64 4 (pow.f64 alpha 2))) (.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (.f64 1 (/.f64 2 alpha)) (.f64 1 (/.f64 8 (pow.f64 alpha 3)))) (+.f64 (.f64 1 (/.f64 4 (pow.f64 alpha 2))) (.f64 1 (/.f64 16 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4))))
(*.f64 1/2 alpha)
(*.f64 alpha 1/2)
(+.f64 (.f64 1/2 alpha) (.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 (.f64 alpha 1/2) (.f64 (pow.f64 alpha 2) -1/4))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 (.f64 alpha 1/2) (+.f64 (.f64 (pow.f64 alpha 2) -1/4) (*.f64 (pow.f64 alpha 3) 1/8)))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (.f64 -1/4 (pow.f64 alpha 2)))))
(+.f64 (.f64 alpha 1/2) (+.f64 (+.f64 (.f64 (pow.f64 alpha 2) -1/4) (.f64 (pow.f64 alpha 3) 1/8)) (.f64 (pow.f64 alpha 4) -1/16)))
(+.f64 (.f64 alpha 1/2) (+.f64 (.f64 (pow.f64 alpha 3) 1/8) (+.f64 (.f64 (pow.f64 alpha 2) -1/4) (.f64 (pow.f64 alpha 4) -1/16))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (*.f64 1 (/.f64 2 alpha)))
(-.f64 1 (/.f64 2 alpha))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 1 (/.f64 4 (pow.f64 alpha 2)))) (.f64 1 (/.f64 2 alpha)))
(-.f64 (.f64 1 (/.f64 4 (pow.f64 alpha 2))) (+.f64 (.f64 1 (/.f64 2 alpha)) -1))
(+.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)) 1)
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (.f64 1 (/.f64 4 (pow.f64 alpha 2)))) (+.f64 (.f64 1 (/.f64 2 alpha)) (*.f64 1 (/.f64 8 (pow.f64 alpha 3)))))
(-.f64 (.f64 1 (/.f64 4 (pow.f64 alpha 2))) (+.f64 (+.f64 (.f64 1 (/.f64 2 alpha)) (*.f64 1 (/.f64 8 (pow.f64 alpha 3)))) -1))
(-.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) -1))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (*.f64 1 (/.f64 2 alpha)))
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(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
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(+.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)) 1)
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(-.f64 (.f64 1 (/.f64 4 (pow.f64 alpha 2))) (+.f64 (+.f64 (.f64 1 (/.f64 2 alpha)) (*.f64 1 (/.f64 8 (pow.f64 alpha 3)))) -1))
(-.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) -1))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
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(+.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 0)
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(+.f64 0 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
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(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)
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(+.f64 (+.f64 1 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))) (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)))
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(+.f64 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2)) (+.f64 1 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))))
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(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
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(.f64 2 (.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1/2))
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(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
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(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1) -1)
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(.f64 (-.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) -2) -2) 1/2)
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(.f64 1/2 (-.f64 (.f64 alpha (/.f64 -2 (+.f64 alpha 2))) -2))
(*.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
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(.f64 1/2 (-.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) -2) -2))
(.f64 1/2 (-.f64 (.f64 -2 (/.f64 alpha (+.f64 alpha 2))) -2))
(.f64 1/2 (-.f64 (.f64 alpha (/.f64 -2 (+.f64 alpha 2))) -2))
(.f64 (.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 4) 1/4)
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(/.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1) -1)
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(/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) -2) -2) 2)
(-.f64 (/.f64 (*.f64 -2 (/.f64 alpha (+.f64 alpha 2))) 2) -1)
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(/.f64 (*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 4) 4)
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(/.f64 (+.f64 1/2 (/.f64 (/.f64 alpha -2) (+.f64 alpha 2))) 1/2)
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(/.f64 (.f64 2 (.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 4)) 8)
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(/.f64 (-.f64 (+.f64 alpha 2) (/.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2))) (/.f64 2 (+.f64 alpha 2)))) (+.f64 alpha 2))
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(/.f64 (-.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2))
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(/.f64 (-.f64 (+.f64 alpha (+.f64 alpha 4)) (+.f64 alpha alpha)) (+.f64 alpha (+.f64 alpha 4)))
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(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) 4)) (*.f64 alpha 4))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) 4)) (.f64 (.f64 (+.f64 alpha alpha) 4) 1/2))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) 4)) (-.f64 (.f64 (+.f64 alpha alpha) 4) (.f64 alpha 4)))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 alpha -2) (/.f64 -1 (+.f64 alpha (+.f64 alpha 4))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 alpha -2) (-.f64 0 (/.f64 1/2 (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) 4) 1/4)
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 (+.f64 alpha alpha) 4) (/.f64 1/2 (*.f64 (+.f64 alpha 2) 4)))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 (+.f64 alpha alpha) 4) (.f64 (/.f64 1 (.f64 (+.f64 alpha 2) 4)) 1/2))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 (+.f64 alpha alpha) 4) (-.f64 (/.f64 1 (.f64 (+.f64 alpha 2) 4)) (/.f64 1/2 (.f64 (+.f64 alpha 2) 4))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (/.f64 alpha (.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 alpha 2))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha 2))) (/.f64 1 (/.f64 2 (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 alpha -4) (-.f64 0 (/.f64 1 (*.f64 (+.f64 alpha 2) 4))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 1/4 (.f64 (/.f64 alpha (+.f64 alpha 2)) 4))
(/.f64 alpha (+.f64 alpha 2))
(.f64 1/4 (.f64 (*.f64 alpha 4) (/.f64 1 (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 1 (-.f64 -2 alpha)) (neg.f64 alpha))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (/.f64 1/2 (.f64 (+.f64 alpha 2) 4)) (*.f64 (+.f64 alpha alpha) 4))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 1 (/.f64 2 (+.f64 alpha 2))) (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 alpha (+.f64 alpha 2)) (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha alpha)) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (.f64 (+.f64 alpha 2) (*.f64 alpha 4)) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha (+.f64 alpha 4))))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 2)) (.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha 2)) (.f64 (+.f64 alpha 2) (+.f64 alpha alpha)))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha (+.f64 alpha 4))) (.f64 (+.f64 alpha 2) (*.f64 alpha 4)))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(/.f64 alpha (+.f64 alpha 2))
(neg.f64 (/.f64 alpha (-.f64 -2 alpha)))
(/.f64 alpha (+.f64 alpha 2))

localize79.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 61 to 39 computations (36.1% saved)

series8.0ms (0%)

Counts

3 → 60

Calls

18 calls:

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

rewrite522.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`rational_best-simplify-52`
692×	`rational_best-simplify-49`
690×	`rational_best-simplify-67`
688×	`rational_best-simplify-53`
636×	`rational_best-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	101
1	104	101
2	327	101
3	1351	93

Stop Event

1×	node limit

Counts

3 → 207

Calls

Call 1

Inputs

(/.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)

(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha)))

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

Outputs

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(/.f64 (-.f64 -2 beta) alpha) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 beta 2) (*.f64 alpha 4)) (*.f64 (-.f64 -2 beta) (/.f64 -1/2 alpha))) (-.f64 (/.f64 0 alpha) (/.f64 (+.f64 beta 2) (*.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 2 alpha)) (/.f64 beta (*.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 beta 2) (*.f64 alpha 4)) (/.f64 (/.f64 beta alpha) 2)) (-.f64 (/.f64 -1 alpha) (/.f64 (+.f64 beta 2) (*.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 -2 beta) (/.f64 -1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 1 (/.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -2 beta) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 -2 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta (+.f64 beta 4)) (/.f64 1/2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (+.f64 beta 2) (/.f64 -1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 (-.f64 -2 beta) alpha)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 (-.f64 -2 beta) alpha)) (/.f64 1 (/.f64 (+.f64 alpha alpha) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 2) 4) (/.f64 1 (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 -2 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 alpha) (+.f64 beta (+.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 alpha 4)) (*.f64 (+.f64 beta 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 beta 2) 4) alpha) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 beta 2) 4) alpha) (/.f64 1 (/.f64 (*.f64 alpha 4) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (+.f64 beta beta)) (/.f64 1/2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 beta 2) 4)) (/.f64 1 (*.f64 2 (*.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (/.f64 1 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta (+.f64 beta 4)) (*.f64 alpha alpha)) (/.f64 1 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha (+.f64 beta 2)) (/.f64 (/.f64 1 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) (/.f64 (/.f64 1/2 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha (/.f64 (+.f64 beta 2) alpha)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha (*.f64 -2 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 1/2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha (*.f64 (+.f64 beta 2) 4)) (/.f64 (/.f64 1 (*.f64 alpha 4)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -2 beta) alpha))))))

simplify547.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1100×	`rational_best-simplify-1`
724×	`rational_best-simplify-57`
714×	`rational_best-simplify-108`
686×	`rational_best-simplify-52`
664×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	556	13043
1	1530	11933
2	4559	11423

Stop Event

1×	node limit

Counts

267 → 451

Calls

Call 1

Inputs
(/.f64 1 alpha)
(+.f64 (.f64 1/2 (.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)))) (/.f64 1 alpha))
(+.f64 (.f64 1/2 (.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 alpha)))
(+.f64 (.f64 1/2 (.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 alpha))))
(*.f64 1/2 (/.f64 beta alpha))
(+.f64 (.f64 1/2 (/.f64 beta alpha)) (.f64 1/2 (+.f64 1 (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (.f64 1/2 (/.f64 beta alpha)) (+.f64 (.f64 1/2 (+.f64 1 (.f64 2 (/.f64 1 alpha)))) (.f64 -1/2 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (.f64 1/2 (/.f64 beta alpha)) (+.f64 (.f64 1/2 (+.f64 1 (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (+.f64 2 alpha) beta)))))
(*.f64 1/2 (/.f64 beta alpha))
(+.f64 (.f64 1/2 (/.f64 beta alpha)) (.f64 1/2 (+.f64 1 (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (.f64 1/2 (/.f64 beta alpha)) (+.f64 (.f64 1/2 (+.f64 1 (.f64 2 (/.f64 1 alpha)))) (.f64 -1/2 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (.f64 1/2 (/.f64 beta alpha)) (+.f64 (.f64 1/2 (+.f64 1 (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (+.f64 2 alpha) beta)))))
(*.f64 1/2 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (.f64 1/2 (/.f64 (+.f64 beta 2) alpha)) (.f64 1/2 (/.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 beta (+.f64 beta 2))) (.f64 -1/2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 beta (+.f64 beta 2))) (.f64 -1/2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))))))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))))
(.f64 -1/2 (/.f64 (+.f64 (.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha))
(+.f64 (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)))
(+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)))))
(/.f64 2 alpha)
(+.f64 (.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha)))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 1 alpha)))))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (.f64 2 (/.f64 1 alpha))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha))))))
(.f64 -1 (/.f64 (+.f64 (.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (+.f64 beta 2))) alpha)) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (+.f64 beta 2))) alpha)) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 2 alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) 1/2) 0)
(+.f64 0 (*.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) 1/2))
(+.f64 (/.f64 (/.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 (-.f64 -2 beta) (/.f64 -1/2 alpha)))
(+.f64 (/.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) 4) (/.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) 4))
(+.f64 (*.f64 (-.f64 -2 beta) (/.f64 -1/2 alpha)) (/.f64 (/.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (/.f64 beta 4) (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (/.f64 beta 4) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 -1/2 alpha))))
(+.f64 (-.f64 (/.f64 (/.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 0 alpha)) (*.f64 (-.f64 -2 beta) (/.f64 -1/2 alpha)))
(+.f64 (-.f64 (/.f64 (/.f64 beta 4) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 -1/2 alpha))) (/.f64 (/.f64 beta 4) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (-.f64 (/.f64 (/.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 beta (*.f64 alpha -2))) (neg.f64 (/.f64 -1 alpha)))
(+.f64 (-.f64 (/.f64 (/.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 -1 alpha)) (neg.f64 (/.f64 beta (*.f64 alpha -2))))
(+.f64 (-.f64 (/.f64 (/.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 -2 beta) alpha) 4)) (neg.f64 (/.f64 (/.f64 (-.f64 -2 beta) alpha) 4)))
(+.f64 (-.f64 (/.f64 (/.f64 beta 4) (+.f64 beta (+.f64 alpha 2))) (/.f64 0 alpha)) (-.f64 (/.f64 (/.f64 beta 4) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 -1/2 alpha))))
(+.f64 (-.f64 (/.f64 (/.f64 beta 4) (+.f64 beta (+.f64 alpha 2))) (/.f64 -1 alpha)) (-.f64 (/.f64 (/.f64 beta 4) (+.f64 beta (+.f64 alpha 2))) (/.f64 beta (*.f64 alpha -2))))
(+.f64 (-.f64 (/.f64 (/.f64 beta 4) (+.f64 beta (+.f64 alpha 2))) (/.f64 beta (*.f64 alpha -2))) (-.f64 (/.f64 (/.f64 beta 4) (+.f64 beta (+.f64 alpha 2))) (/.f64 -1 alpha)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) 2))
(-.f64 (*.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) 1/2) 0)
(-.f64 (*.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) 1/2) (/.f64 0 (+.f64 beta (+.f64 alpha 2))))
(-.f64 (*.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) 1/2) (/.f64 0 alpha))
(-.f64 (*.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) 1/2) (/.f64 (+.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha)))) 4))
(-.f64 0 (/.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) -2))
(-.f64 (/.f64 (/.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 -1/2 alpha)))
(-.f64 (/.f64 (/.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 (+.f64 beta 2) (/.f64 -1/2 alpha)) (/.f64 0 (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (/.f64 (/.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 0 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 -1/2 alpha))))
(-.f64 (/.f64 (/.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 0 (+.f64 beta (+.f64 alpha 2)))) 2))
(-.f64 (/.f64 0 alpha) (/.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) -2))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) 4) (/.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) -4))
(-.f64 (*.f64 (-.f64 -2 beta) (/.f64 -1/2 alpha)) (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -2))
(-.f64 (*.f64 (-.f64 -2 beta) (/.f64 -1/2 alpha)) (+.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -2) (/.f64 0 alpha)))
(-.f64 (*.f64 (-.f64 -2 beta) (/.f64 -1/2 alpha)) (/.f64 (+.f64 (/.f64 beta (-.f64 (-.f64 -2 beta) alpha)) (/.f64 0 alpha)) 2))
(-.f64 (/.f64 (/.f64 beta 4) (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 (+.f64 beta 2) (/.f64 -1/2 alpha)) (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -4)))
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(-.f64 (/.f64 (.f64 (+.f64 beta 2) 3) (.f64 alpha 4)) (/.f64 (/.f64 (-.f64 -2 beta) alpha) 4))
(-.f64 (/.f64 (/.f64 beta (neg.f64 alpha)) -1) (/.f64 -2 alpha))
(-.f64 (-.f64 (/.f64 (+.f64 beta 2) (.f64 alpha 4)) (/.f64 -1 alpha)) (-.f64 (/.f64 beta (.f64 alpha -2)) (/.f64 (+.f64 beta 2) (*.f64 alpha 4))))
(-.f64 (-.f64 (/.f64 (+.f64 beta 2) (.f64 alpha 4)) (/.f64 beta (.f64 alpha -2))) (-.f64 (/.f64 -1 alpha) (/.f64 (+.f64 beta 2) (*.f64 alpha 4))))
(-.f64 (+.f64 (/.f64 (+.f64 beta 2) (.f64 alpha 4)) (.f64 (-.f64 -2 beta) (/.f64 -1/2 alpha))) (/.f64 (/.f64 (-.f64 -2 beta) alpha) 4))
(-.f64 (+.f64 (/.f64 (+.f64 beta 2) (.f64 alpha 4)) (.f64 (-.f64 -2 beta) (/.f64 -1/2 alpha))) (-.f64 (/.f64 0 alpha) (/.f64 (+.f64 beta 2) (*.f64 alpha 4))))
(-.f64 (+.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 2 alpha)) (/.f64 beta (*.f64 alpha -2)))
(-.f64 (+.f64 (/.f64 (+.f64 beta 2) (.f64 alpha 4)) (/.f64 (/.f64 beta alpha) 2)) (-.f64 (/.f64 -1 alpha) (/.f64 (+.f64 beta 2) (.f64 alpha 4))))
(.f64 alpha (/.f64 (+.f64 beta 2) (.f64 alpha alpha)))
(.f64 2 (.f64 (-.f64 -2 beta) (/.f64 -1/2 alpha)))
(*.f64 (+.f64 beta 2) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 1 (/.f64 alpha alpha)))
(*.f64 (/.f64 (-.f64 -2 beta) alpha) -1)
(*.f64 1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (-.f64 -2 beta) alpha))
(*.f64 (+.f64 beta (+.f64 beta 4)) (/.f64 1/2 alpha))
(.f64 -2 (.f64 (+.f64 beta 2) (/.f64 -1/2 alpha)))
(.f64 (.f64 -2 (/.f64 (-.f64 -2 beta) alpha)) 1/2)
(.f64 (.f64 -2 (/.f64 (-.f64 -2 beta) alpha)) (/.f64 1 (/.f64 (+.f64 alpha alpha) alpha)))
(.f64 (.f64 (+.f64 beta 2) 4) (/.f64 1 (*.f64 alpha 4)))
(.f64 1/2 (.f64 -2 (/.f64 (-.f64 -2 beta) alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 beta 2))
(*.f64 (/.f64 1/2 alpha) (+.f64 beta (+.f64 beta 4)))
(.f64 (/.f64 1 (.f64 alpha 4)) (*.f64 (+.f64 beta 2) 4))
(.f64 (/.f64 (.f64 (+.f64 beta 2) 4) alpha) 1/4)
(.f64 (/.f64 (.f64 (+.f64 beta 2) 4) alpha) (/.f64 1 (/.f64 (*.f64 alpha 4) alpha)))
(*.f64 (+.f64 4 (+.f64 beta beta)) (/.f64 1/2 alpha))
(.f64 (.f64 2 (.f64 (+.f64 beta 2) 4)) (/.f64 1 (.f64 2 (*.f64 alpha 4))))
(.f64 (/.f64 (+.f64 beta 2) (.f64 alpha alpha)) (/.f64 1 (/.f64 1 alpha)))
(.f64 (/.f64 (+.f64 beta (+.f64 beta 4)) (.f64 alpha alpha)) (/.f64 1 (/.f64 2 alpha)))
(.f64 (.f64 alpha (+.f64 beta 2)) (/.f64 (/.f64 1 alpha) alpha))
(.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) (/.f64 (/.f64 1/2 alpha) alpha))
(.f64 (.f64 alpha (/.f64 (+.f64 beta 2) alpha)) (/.f64 1 alpha))
(.f64 (.f64 alpha (*.f64 -2 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 1/2 alpha))
(.f64 (.f64 alpha (.f64 (+.f64 beta 2) 4)) (/.f64 (/.f64 1 (.f64 alpha 4)) alpha))
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(neg.f64 (/.f64 (-.f64 -2 beta) alpha))

Outputs
(/.f64 1 alpha)
(+.f64 (.f64 1/2 (.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)))) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (.f64 (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (.f64 beta 1/2)))
(+.f64 (/.f64 1 alpha) (.f64 1/2 (.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))))))
(+.f64 (.f64 1/2 (.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 alpha)))
(+.f64 (/.f64 1 alpha) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (.f64 (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (*.f64 beta 1/2))))
(+.f64 (.f64 1/2 (.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))))) (+.f64 (/.f64 1 alpha) (*.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 1 alpha) (+.f64 (.f64 1/2 (.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))))) (*.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (.f64 1/2 (.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 alpha))))
(+.f64 (.f64 (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (.f64 beta 1/2)) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (.f64 1/2 (.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))))) (+.f64 (/.f64 1 alpha) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 beta (/.f64 1/2 alpha))
(+.f64 (.f64 1/2 (/.f64 beta alpha)) (.f64 1/2 (+.f64 1 (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (.f64 beta (/.f64 1/2 alpha)) (.f64 1/2 (+.f64 1 (*.f64 1 (/.f64 2 alpha)))))
(.f64 1/2 (+.f64 1 (+.f64 (/.f64 beta alpha) (.f64 1 (/.f64 2 alpha)))))
(*.f64 1/2 (+.f64 1 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (.f64 1/2 (/.f64 beta alpha)) (+.f64 (.f64 1/2 (+.f64 1 (.f64 2 (/.f64 1 alpha)))) (.f64 -1/2 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (.f64 beta (/.f64 1/2 alpha)) (+.f64 (.f64 1/2 (+.f64 1 (.f64 1 (/.f64 2 alpha)))) (.f64 (+.f64 alpha 2) (/.f64 -1/2 beta))))
(+.f64 (.f64 1/2 (+.f64 1 (+.f64 (/.f64 beta alpha) (.f64 1 (/.f64 2 alpha))))) (*.f64 (+.f64 alpha 2) (/.f64 -1/2 beta)))
(+.f64 (.f64 1/2 (+.f64 1 (/.f64 (+.f64 beta 2) alpha))) (.f64 (+.f64 alpha 2) (/.f64 -1/2 beta)))
(+.f64 (.f64 1/2 (/.f64 beta alpha)) (+.f64 (.f64 1/2 (+.f64 1 (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (+.f64 2 alpha) beta)))))
(+.f64 (.f64 beta (/.f64 1/2 alpha)) (+.f64 (.f64 1/2 (+.f64 1 (.f64 1 (/.f64 2 alpha)))) (+.f64 (.f64 (+.f64 alpha 2) (/.f64 -1/2 beta)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (+.f64 1 (.f64 1 (/.f64 2 alpha))))) (+.f64 (.f64 (+.f64 alpha 2) (/.f64 -1/2 beta)) (.f64 1/2 (/.f64 beta alpha))))
(+.f64 (.f64 1/2 (+.f64 1 (/.f64 (+.f64 beta 2) alpha))) (+.f64 (.f64 (+.f64 alpha 2) (/.f64 -1/2 beta)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(*.f64 1/2 (/.f64 beta alpha))
(*.f64 beta (/.f64 1/2 alpha))
(+.f64 (.f64 1/2 (/.f64 beta alpha)) (.f64 1/2 (+.f64 1 (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (.f64 beta (/.f64 1/2 alpha)) (.f64 1/2 (+.f64 1 (*.f64 1 (/.f64 2 alpha)))))
(.f64 1/2 (+.f64 1 (+.f64 (/.f64 beta alpha) (.f64 1 (/.f64 2 alpha)))))
(*.f64 1/2 (+.f64 1 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (.f64 1/2 (/.f64 beta alpha)) (+.f64 (.f64 1/2 (+.f64 1 (.f64 2 (/.f64 1 alpha)))) (.f64 -1/2 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (.f64 beta (/.f64 1/2 alpha)) (+.f64 (.f64 1/2 (+.f64 1 (.f64 1 (/.f64 2 alpha)))) (.f64 (+.f64 alpha 2) (/.f64 -1/2 beta))))
(+.f64 (.f64 1/2 (+.f64 1 (+.f64 (/.f64 beta alpha) (.f64 1 (/.f64 2 alpha))))) (*.f64 (+.f64 alpha 2) (/.f64 -1/2 beta)))
(+.f64 (.f64 1/2 (+.f64 1 (/.f64 (+.f64 beta 2) alpha))) (.f64 (+.f64 alpha 2) (/.f64 -1/2 beta)))
(+.f64 (.f64 1/2 (/.f64 beta alpha)) (+.f64 (.f64 1/2 (+.f64 1 (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (+.f64 2 alpha) beta)))))
(+.f64 (.f64 beta (/.f64 1/2 alpha)) (+.f64 (.f64 1/2 (+.f64 1 (.f64 1 (/.f64 2 alpha)))) (+.f64 (.f64 (+.f64 alpha 2) (/.f64 -1/2 beta)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (+.f64 1 (.f64 1 (/.f64 2 alpha))))) (+.f64 (.f64 (+.f64 alpha 2) (/.f64 -1/2 beta)) (.f64 1/2 (/.f64 beta alpha))))
(+.f64 (.f64 1/2 (+.f64 1 (/.f64 (+.f64 beta 2) alpha))) (+.f64 (.f64 (+.f64 alpha 2) (/.f64 -1/2 beta)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(*.f64 1/2 (/.f64 (+.f64 beta 2) alpha))
(*.f64 (+.f64 beta 2) (/.f64 1/2 alpha))
(+.f64 (.f64 1/2 (/.f64 (+.f64 beta 2) alpha)) (.f64 1/2 (/.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 (+.f64 beta 2) (/.f64 1/2 alpha)) (.f64 beta (/.f64 1/2 (+.f64 beta 2))))
(*.f64 1/2 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 beta (+.f64 beta 2))) (.f64 -1/2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 alpha beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (+.f64 beta 2) (/.f64 1/2 alpha)) (.f64 beta (/.f64 1/2 (+.f64 beta 2)))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta 2)))) (.f64 -1/2 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 beta (+.f64 beta 2))) (.f64 -1/2 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (+.f64 (.f64 beta (/.f64 1/2 (+.f64 beta 2))) (.f64 -1/2 (/.f64 (.f64 alpha beta) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 (+.f64 beta 2) (/.f64 1/2 alpha)) (.f64 1/2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 alpha beta) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)))))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 (+.f64 2 (.f64 beta 2)) (/.f64 1/2 alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 beta 2)) alpha))
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (.f64 (+.f64 2 (.f64 beta 2)) (/.f64 1/2 alpha)) (.f64 (.f64 beta (+.f64 beta 2)) (/.f64 -1/2 (pow.f64 alpha 2))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 beta 2)) alpha)) (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))))
(+.f64 (+.f64 (.f64 (+.f64 2 (.f64 beta 2)) (/.f64 1/2 alpha)) (.f64 (.f64 beta (+.f64 beta 2)) (/.f64 -1/2 (pow.f64 alpha 2)))) (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 1/2 (+.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (.f64 (.f64 beta (+.f64 beta 2)) (/.f64 -1/2 (pow.f64 alpha 2))) (.f64 1/2 (+.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))))
(+.f64 (+.f64 (.f64 (+.f64 2 (.f64 beta 2)) (/.f64 1/2 alpha)) (.f64 (.f64 beta (+.f64 beta 2)) (/.f64 -1/2 (pow.f64 alpha 2)))) (+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 -1/2 (pow.f64 alpha 4)))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1/2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (.f64 (.f64 beta (+.f64 beta 2)) (/.f64 -1/2 (pow.f64 alpha 2))) (.f64 -1/2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)))))
(.f64 -1/2 (/.f64 (+.f64 (.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha))
(.f64 (+.f64 (.f64 beta -1) (*.f64 (+.f64 beta 2) -1)) (/.f64 -1/2 alpha))
(.f64 -1/2 (/.f64 (.f64 -1 (+.f64 beta (+.f64 beta 2))) alpha))
(*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 -1/2 alpha))
(+.f64 (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)))
(+.f64 (.f64 (.f64 beta (+.f64 beta 2)) (/.f64 -1/2 (pow.f64 alpha 2))) (.f64 (+.f64 (.f64 beta -1) (*.f64 (+.f64 beta 2) -1)) (/.f64 -1/2 alpha)))
(.f64 -1/2 (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (*.f64 -1 (+.f64 beta (+.f64 beta 2))) alpha)))
(.f64 -1/2 (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)))
(+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha))))
(+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 (.f64 beta (+.f64 beta 2)) (/.f64 -1/2 (pow.f64 alpha 2))) (.f64 (+.f64 (.f64 beta -1) (*.f64 (+.f64 beta 2) -1)) (/.f64 -1/2 alpha))))
(+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (.f64 -1/2 (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (*.f64 -1 (+.f64 beta (+.f64 beta 2))) alpha))))
(+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (.f64 -1/2 (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)))))
(+.f64 (.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 -1/2 (pow.f64 alpha 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 (.f64 beta (+.f64 beta 2)) (/.f64 -1/2 (pow.f64 alpha 2))) (.f64 (+.f64 (.f64 beta -1) (*.f64 (+.f64 beta 2) -1)) (/.f64 -1/2 alpha)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (.f64 -1/2 (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (*.f64 -1 (+.f64 beta (+.f64 beta 2))) alpha)))))
(+.f64 (.f64 -1/2 (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) (+.f64 (.f64 1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (.f64 -1/2 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)))))
(/.f64 2 alpha)
(+.f64 (.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha)))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 1 (/.f64 2 alpha)) (.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2)))))
(+.f64 (/.f64 2 alpha) (*.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2)))))
(+.f64 (.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 1 (/.f64 2 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))))))
(+.f64 (.f64 1 (/.f64 2 alpha)) (+.f64 (.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2)))) (neg.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2)))) (neg.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2)))) (+.f64 (.f64 1 (/.f64 2 alpha)) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (pow.f64 beta 2) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2)))) (+.f64 (neg.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (.f64 1 (/.f64 2 alpha)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 2 alpha)) (*.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))))))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (/.f64 beta alpha) (*.f64 1 (/.f64 2 alpha))))
(+.f64 1 (/.f64 (+.f64 beta 2) alpha))
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(-.f64 (.f64 (-.f64 -2 beta) (/.f64 -1/2 alpha)) (/.f64 (-.f64 -2 beta) (.f64 alpha 2)))
(+.f64 (/.f64 (+.f64 beta 2) (.f64 alpha 2)) (.f64 -1/2 (/.f64 (-.f64 -2 beta) alpha)))
(-.f64 (+.f64 (/.f64 (/.f64 beta alpha) 2) (/.f64 2 alpha)) (/.f64 beta (*.f64 alpha -2)))
(/.f64 (+.f64 beta 2) alpha)
(-.f64 (+.f64 (/.f64 (+.f64 beta 2) (.f64 alpha 4)) (/.f64 (/.f64 beta alpha) 2)) (-.f64 (/.f64 -1 alpha) (/.f64 (+.f64 beta 2) (.f64 alpha 4))))
(-.f64 (/.f64 (+.f64 beta 2) (.f64 alpha 4)) (-.f64 (/.f64 beta (.f64 alpha -2)) (-.f64 (/.f64 (+.f64 beta 2) (*.f64 alpha 4)) (/.f64 -1 alpha))))
(+.f64 (-.f64 (/.f64 (+.f64 beta 2) (.f64 alpha 4)) (-.f64 (/.f64 beta (.f64 alpha -2)) (/.f64 (+.f64 beta 2) (*.f64 alpha 4)))) (/.f64 1 alpha))
(+.f64 (-.f64 (/.f64 (+.f64 beta 2) (.f64 alpha 4)) (-.f64 (/.f64 -1 alpha) (/.f64 (+.f64 beta 2) (.f64 alpha 4)))) (/.f64 (/.f64 beta alpha) 2))
(.f64 alpha (/.f64 (+.f64 beta 2) (.f64 alpha alpha)))
(/.f64 (+.f64 beta 2) alpha)
(.f64 2 (.f64 (-.f64 -2 beta) (/.f64 -1/2 alpha)))
(/.f64 (+.f64 beta 2) alpha)
(*.f64 (+.f64 beta 2) (/.f64 1 alpha))
(/.f64 (+.f64 beta 2) alpha)
(*.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(/.f64 (+.f64 beta 2) alpha)
(*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 1 (/.f64 alpha alpha)))
(/.f64 (+.f64 beta 2) alpha)
(*.f64 (/.f64 (-.f64 -2 beta) alpha) -1)
(/.f64 (+.f64 beta 2) alpha)
(*.f64 1 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 beta 2) alpha)
(*.f64 -1 (/.f64 (-.f64 -2 beta) alpha))
(/.f64 (+.f64 beta 2) alpha)
(*.f64 (+.f64 beta (+.f64 beta 4)) (/.f64 1/2 alpha))
(/.f64 (+.f64 beta 2) alpha)
(.f64 -2 (.f64 (+.f64 beta 2) (/.f64 -1/2 alpha)))
(/.f64 (+.f64 beta 2) alpha)
(.f64 (.f64 -2 (/.f64 (-.f64 -2 beta) alpha)) 1/2)
(/.f64 (+.f64 beta 2) alpha)
(.f64 (.f64 -2 (/.f64 (-.f64 -2 beta) alpha)) (/.f64 1 (/.f64 (+.f64 alpha alpha) alpha)))
(.f64 1 (/.f64 (.f64 (-.f64 -2 beta) (/.f64 -2 alpha)) (/.f64 (+.f64 alpha alpha) alpha)))
(/.f64 (*.f64 -2 (/.f64 (-.f64 -2 beta) alpha)) (/.f64 (+.f64 alpha alpha) alpha))
(.f64 (.f64 (+.f64 beta 2) 4) (/.f64 1 (*.f64 alpha 4)))
(/.f64 (+.f64 beta 2) alpha)
(.f64 1/2 (.f64 -2 (/.f64 (-.f64 -2 beta) alpha)))
(/.f64 (+.f64 beta 2) alpha)
(*.f64 (/.f64 1 alpha) (+.f64 beta 2))
(/.f64 (+.f64 beta 2) alpha)
(*.f64 (/.f64 1/2 alpha) (+.f64 beta (+.f64 beta 4)))
(/.f64 (+.f64 beta 2) alpha)
(.f64 (/.f64 1 (.f64 alpha 4)) (*.f64 (+.f64 beta 2) 4))
(/.f64 (+.f64 beta 2) alpha)
(.f64 (/.f64 (.f64 (+.f64 beta 2) 4) alpha) 1/4)
(/.f64 (+.f64 beta 2) alpha)
(.f64 (/.f64 (.f64 (+.f64 beta 2) 4) alpha) (/.f64 1 (/.f64 (*.f64 alpha 4) alpha)))
(/.f64 (+.f64 beta 2) alpha)
(*.f64 (+.f64 4 (+.f64 beta beta)) (/.f64 1/2 alpha))
(/.f64 (+.f64 beta 2) alpha)
(.f64 (.f64 2 (.f64 (+.f64 beta 2) 4)) (/.f64 1 (.f64 2 (*.f64 alpha 4))))
(/.f64 (+.f64 beta 2) alpha)
(.f64 (/.f64 (+.f64 beta 2) (.f64 alpha alpha)) (/.f64 1 (/.f64 1 alpha)))
(/.f64 (+.f64 beta 2) alpha)
(.f64 (/.f64 (+.f64 beta (+.f64 beta 4)) (.f64 alpha alpha)) (/.f64 1 (/.f64 2 alpha)))
(.f64 (/.f64 (+.f64 4 (+.f64 beta beta)) (.f64 alpha alpha)) (/.f64 1 (/.f64 2 alpha)))
(*.f64 1 (-.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 beta 4)) alpha) 2) 0))
(/.f64 (/.f64 (+.f64 beta (+.f64 beta 4)) alpha) 2)
(.f64 (.f64 alpha (+.f64 beta 2)) (/.f64 (/.f64 1 alpha) alpha))
(/.f64 (+.f64 beta 2) alpha)
(.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) (/.f64 (/.f64 1/2 alpha) alpha))
(/.f64 (+.f64 beta 2) alpha)
(.f64 (.f64 alpha (/.f64 (+.f64 beta 2) alpha)) (/.f64 1 alpha))
(/.f64 (+.f64 beta 2) alpha)
(.f64 (.f64 alpha (*.f64 -2 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 1/2 alpha))
(/.f64 (+.f64 beta 2) alpha)
(.f64 (.f64 alpha (.f64 (+.f64 beta 2) 4)) (/.f64 (/.f64 1 (.f64 alpha 4)) alpha))
(/.f64 (+.f64 beta 2) alpha)
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(/.f64 (+.f64 beta 2) alpha)
(neg.f64 (/.f64 (-.f64 -2 beta) alpha))
(/.f64 (+.f64 beta 2) alpha)

localize413.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.9b	(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
✓	3.7b	(/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))
✓	4.4b	(/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))
✓	12.6b	(+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))

Compiler

Compiled 272 to 206 computations (24.3% saved)

series35.0ms (0.1%)

Counts

4 → 60

Calls

24 calls:

Time	Variable		Point	Expression
16.0ms	alpha	@	inf	(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
7.0ms	alpha	@	0	(+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
3.0ms	beta	@	-inf	(+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
1.0ms	beta	@	0	(+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
1.0ms	alpha	@	0	(/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))

rewrite423.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`rational_best-simplify-83`
592×	`rational_best-4`
592×	`rational_best-2`
592×	`rational_best-3`
592×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	164
1	146	160
2	349	160
3	1298	160

Stop Event

1×	node limit

Counts

4 → 236

Calls

Call 1

Inputs
(+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))
(/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (neg.f64 (pow.f64 alpha 3))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (neg.f64 (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (neg.f64 (pow.f64 alpha 3))) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (.f64 2 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (neg.f64 (pow.f64 alpha 3))) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (neg.f64 (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (/.f64 0 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (neg.f64 (pow.f64 alpha 3))) (neg.f64 (+.f64 (+.f64 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(neg.f64 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) -2) (pow.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (pow.f64 alpha 3)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (pow.f64 alpha 3)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (neg.f64 (pow.f64 alpha 4))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 2 (pow.f64 alpha 4))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 2 (pow.f64 alpha 4))))))))) (#(struct:change #<rule 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simplify1.0s (2.5%)

Algorithm

1×	egg-herbie

Rules

1256×	`rational_best-simplify-54`
1072×	`rational_best-simplify-56`
836×	`rational_best-simplify-108`
526×	`rational_best-simplify-57`
490×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	633	23184
1	1787	22298
2	5865	21230

Stop Event

1×	node limit

Counts

296 → 477

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 12 (/.f64 1 (pow.f64 alpha 3))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 12 (/.f64 1 (pow.f64 alpha 3))))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 24 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 1 (pow.f64 alpha 3)))) (pow.f64 beta 2)) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (.f64 8 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 12 (/.f64 1 (pow.f64 alpha 3))))) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 3)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 24 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 1 (pow.f64 alpha 3)))) (pow.f64 beta 2)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))))) (.f64 8 (/.f64 1 (pow.f64 alpha 3))))
(/.f64 (pow.f64 beta 4) (pow.f64 alpha 4))
(+.f64 (.f64 (pow.f64 beta 3) (-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 3)))) (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)))
(+.f64 (.f64 (pow.f64 beta 3) (-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 3)))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (.f64 (-.f64 (+.f64 (.f64 24 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 1 (pow.f64 alpha 3)))) (pow.f64 beta 2))))
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(/.f64 (pow.f64 beta 4) (pow.f64 alpha 4))
(+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (.f64 -1 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 alpha 3)) (*.f64 8 (/.f64 1 (pow.f64 alpha 4)))))))
(+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 alpha 3)) (.f64 8 (/.f64 1 (pow.f64 alpha 4)))))) (.f64 (-.f64 (+.f64 (.f64 24 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 1 (pow.f64 alpha 3)))) (pow.f64 beta 2))))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 alpha 3)) (.f64 8 (/.f64 1 (pow.f64 alpha 4)))))) (.f64 (-.f64 (+.f64 (.f64 24 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 1 (pow.f64 alpha 3)))) (pow.f64 beta 2)))))
(/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
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(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
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(/.f64 16 (pow.f64 alpha 4))
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(+.f64 (.f64 32 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (.f64 24 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (*.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
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(/.f64 (pow.f64 beta 4) (pow.f64 alpha 4))
(+.f64 (*.f64 8 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)))
(+.f64 (.f64 8 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (.f64 24 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4))))
(+.f64 (.f64 8 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (.f64 32 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 24 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)))))
(/.f64 (pow.f64 beta 4) (pow.f64 alpha 4))
(+.f64 (*.f64 8 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)))
(+.f64 (.f64 8 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (.f64 24 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4))))
(+.f64 (.f64 8 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (.f64 32 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 24 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)))))
(/.f64 8 (pow.f64 alpha 3))
(+.f64 (.f64 12 (/.f64 beta (pow.f64 alpha 3))) (.f64 8 (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (.f64 12 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (.f64 6 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 (.f64 12 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (.f64 6 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3))))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 6 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))))
(+.f64 (.f64 12 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 6 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))
(+.f64 (.f64 12 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 6 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 6 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))))
(+.f64 (.f64 12 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 6 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))
(+.f64 (.f64 12 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 6 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))))))
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 beta (pow.f64 alpha 2)))))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 4 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 beta (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 beta (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 4 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 beta (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 beta (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (neg.f64 (pow.f64 alpha 3))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (neg.f64 (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (neg.f64 (pow.f64 alpha 3))) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 2 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))))
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(+.f64 (/.f64 0 (+.f64 2 (/.f64 0 (pow.f64 alpha 3)))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
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(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) 0)
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 0 (pow.f64 alpha 3)))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 0 (+.f64 1 (/.f64 0 (pow.f64 alpha 3)))))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (/.f64 0 (pow.f64 alpha 3)) (+.f64 1 (/.f64 0 (pow.f64 alpha 3)))))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 0 (+.f64 2 (/.f64 0 (pow.f64 alpha 3)))))
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(-.f64 (.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 1/2 (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 (pow.f64 alpha 3) -2)))
(-.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 3) 3) (.f64 2 (pow.f64 alpha 3))) 2) (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 (pow.f64 alpha 3) -2)) 2))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 3) 3) (.f64 2 (pow.f64 alpha 3))) (+.f64 2 (/.f64 0 (pow.f64 alpha 3)))) (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 (pow.f64 alpha 3) -2)) (+.f64 2 (/.f64 0 (pow.f64 alpha 3)))))
(-.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 3) 3) (.f64 (pow.f64 alpha 3) 4)) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (*.f64 (pow.f64 alpha 3) 4)))
(*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 1 (pow.f64 alpha 3)))
(.f64 (pow.f64 alpha 3) (/.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 (pow.f64 alpha 3) (pow.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) 1)
(*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 1 (/.f64 0 (pow.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (neg.f64 (pow.f64 alpha 3))) -1)
(*.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (neg.f64 (pow.f64 alpha 3))))
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(.f64 (.f64 (pow.f64 (+.f64 beta 2) 3) 4) (/.f64 1 (*.f64 (pow.f64 alpha 3) 4)))
(.f64 1/2 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(*.f64 (/.f64 1 (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 3))
(.f64 (/.f64 1/2 (pow.f64 alpha 3)) (.f64 2 (pow.f64 (+.f64 beta 2) 3)))
(.f64 (/.f64 1 (.f64 (pow.f64 alpha 3) 4)) (*.f64 (pow.f64 (+.f64 beta 2) 3) 4))
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(.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 3) 4) (pow.f64 alpha 3)) (/.f64 1 (/.f64 (*.f64 (pow.f64 alpha 3) 4) (pow.f64 alpha 3))))
(.f64 (.f64 2 (.f64 (pow.f64 (+.f64 beta 2) 3) 4)) (/.f64 1 (.f64 2 (*.f64 (pow.f64 alpha 3) 4))))
(.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 (pow.f64 alpha 3) (pow.f64 alpha 3))) (/.f64 1 (/.f64 1 (pow.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 alpha 3) 2)) (/.f64 1 (/.f64 2 (pow.f64 alpha 3))))
(.f64 (.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (/.f64 1 (pow.f64 alpha 3)) (pow.f64 alpha 3)))
(.f64 (.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 (+.f64 beta 2) 3))) (/.f64 (/.f64 1/2 (pow.f64 alpha 3)) (pow.f64 alpha 3)))
(.f64 (.f64 (pow.f64 alpha 3) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 3)))
(.f64 (.f64 (pow.f64 alpha 3) (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) (/.f64 1/2 (pow.f64 alpha 3)))
(.f64 (.f64 (pow.f64 alpha 3) (.f64 (pow.f64 (+.f64 beta 2) 3) 4)) (/.f64 (/.f64 1 (.f64 (pow.f64 alpha 3) 4)) (pow.f64 alpha 3)))
(pow.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) 1)
(neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (neg.f64 (pow.f64 alpha 3))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) 0)
(+.f64 0 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
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(+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 2 (pow.f64 alpha 2))) 2) (/.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) 3) (*.f64 2 (pow.f64 alpha 2))) 2))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (pow.f64 alpha 2) 4)) (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) 3) (*.f64 (pow.f64 alpha 2) 4)))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) 0)
(-.f64 0 (/.f64 (pow.f64 (+.f64 beta 2) 2) (neg.f64 (pow.f64 alpha 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 2 (pow.f64 alpha 2))) (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) -2) (pow.f64 alpha 2)))
(-.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) 3) (.f64 2 (pow.f64 alpha 2))) 2) (/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) -2) (pow.f64 alpha 2)) 2))
(-.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) 3) (.f64 (pow.f64 alpha 2) 4)) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 alpha 2) 4)))
(*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 alpha 2)))
(.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) 1)
(*.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (/.f64 1/2 (pow.f64 alpha 2)))
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(.f64 1/2 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 2))
(.f64 (/.f64 1/2 (pow.f64 alpha 2)) (.f64 2 (pow.f64 (+.f64 beta 2) 2)))
(.f64 (/.f64 1 (.f64 (pow.f64 alpha 2) 4)) (*.f64 (pow.f64 (+.f64 beta 2) 2) 4))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) 4) (pow.f64 alpha 2)) 1/4)
(.f64 (.f64 2 (.f64 (pow.f64 (+.f64 beta 2) 2) 4)) (/.f64 1 (.f64 2 (*.f64 (pow.f64 alpha 2) 4))))
(.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))) (/.f64 1 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 alpha 2) 2)) (/.f64 1 (/.f64 2 (pow.f64 alpha 2))))
(.f64 (.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 1 (pow.f64 alpha 2)) (pow.f64 alpha 2)))
(.f64 (.f64 (pow.f64 alpha 2) (*.f64 2 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1/2 (pow.f64 alpha 2)) (pow.f64 alpha 2)))
(.f64 (.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 1 (pow.f64 alpha 2)))
(.f64 (.f64 (pow.f64 alpha 2) (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (/.f64 1/2 (pow.f64 alpha 2)))
(.f64 (.f64 (pow.f64 alpha 2) (.f64 (pow.f64 (+.f64 beta 2) 2) 4)) (/.f64 (/.f64 1 (.f64 (pow.f64 alpha 2) 4)) (pow.f64 alpha 2)))
(pow.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) 1)
(neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (neg.f64 (pow.f64 alpha 2))))

Outputs
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 1 (/.f64 4 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 1 (/.f64 16 (pow.f64 alpha 4))) (.f64 2 (/.f64 2 (pow.f64 alpha 2)))) (*.f64 16 (/.f64 1/2 (pow.f64 alpha 3))))
(-.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 4 (pow.f64 alpha 2))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 12 (/.f64 1 (pow.f64 alpha 3))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (.f64 1 (/.f64 4 (pow.f64 alpha 2))) (.f64 beta (-.f64 (+.f64 (.f64 1 (/.f64 4 (pow.f64 alpha 2))) (.f64 1 (/.f64 32 (pow.f64 alpha 4)))) (.f64 (/.f64 1 (pow.f64 alpha 3)) 12))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 2 (pow.f64 alpha 2))) (.f64 2 (/.f64 16 (pow.f64 alpha 4)))) (.f64 2 (/.f64 6 (pow.f64 alpha 3))))) (+.f64 (.f64 1 (/.f64 16 (pow.f64 alpha 4))) (.f64 2 (/.f64 2 (pow.f64 alpha 2))))) (*.f64 16 (/.f64 1/2 (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 32 (pow.f64 alpha 4))) (/.f64 12 (pow.f64 alpha 3)))) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 4 (pow.f64 alpha 2)))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 12 (/.f64 1 (pow.f64 alpha 3))))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 24 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 1 (pow.f64 alpha 3)))) (pow.f64 beta 2)) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (.f64 8 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 1 (/.f64 4 (pow.f64 alpha 2))) (.f64 1 (/.f64 32 (pow.f64 alpha 4)))) (.f64 (/.f64 1 (pow.f64 alpha 3)) 12))) (+.f64 (.f64 1 (/.f64 4 (pow.f64 alpha 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 (/.f64 1 (pow.f64 alpha 4)) 24)) (.f64 1 (/.f64 6 (pow.f64 alpha 3)))) (pow.f64 beta 2))))) (.f64 8 (/.f64 1 (pow.f64 alpha 3))))
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(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(*.f64 (/.f64 1 (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(.f64 (/.f64 1/2 (pow.f64 alpha 2)) (.f64 2 (pow.f64 (+.f64 beta 2) 2)))
(.f64 1/2 (/.f64 (.f64 2 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)))
(.f64 2 (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 1/2 (pow.f64 alpha 2))))
(.f64 (/.f64 1 (.f64 (pow.f64 alpha 2) 4)) (*.f64 (pow.f64 (+.f64 beta 2) 2) 4))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) 4) (pow.f64 alpha 2)) 1/4)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(.f64 (.f64 2 (.f64 (pow.f64 (+.f64 beta 2) 2) 4)) (/.f64 1 (.f64 2 (*.f64 (pow.f64 alpha 2) 4))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))) (/.f64 1 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 alpha 2) 2)) (/.f64 1 (/.f64 2 (pow.f64 alpha 2))))
(.f64 1 (/.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 alpha 2) 2))) (/.f64 2 (pow.f64 alpha 2))))
(*.f64 1 (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 2) 2)) 2) (/.f64 0 (pow.f64 alpha 2))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 2) 2)) 2) 0)
(.f64 (.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 1 (pow.f64 alpha 2)) (pow.f64 alpha 2)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(.f64 (.f64 (pow.f64 alpha 2) (*.f64 2 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1/2 (pow.f64 alpha 2)) (pow.f64 alpha 2)))
(.f64 (.f64 (pow.f64 alpha 2) (.f64 2 (pow.f64 (+.f64 2 beta) 2))) (/.f64 1/2 (pow.f64 (.f64 alpha alpha) 2)))
(.f64 1/2 (/.f64 (.f64 2 (pow.f64 (.f64 alpha (+.f64 2 beta)) 2)) (pow.f64 (.f64 alpha alpha) 2)))
(.f64 (.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 1 (pow.f64 alpha 2)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(.f64 (.f64 (pow.f64 alpha 2) (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (/.f64 1/2 (pow.f64 alpha 2)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(.f64 (.f64 (pow.f64 alpha 2) (.f64 (pow.f64 (+.f64 beta 2) 2) 4)) (/.f64 (/.f64 1 (.f64 (pow.f64 alpha 2) 4)) (pow.f64 alpha 2)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) 1)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (neg.f64 (pow.f64 alpha 2))))
(neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 alpha 2))))
(/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) 0) (pow.f64 alpha 2))

eval5.3s (12.9%)

Compiler: Compiled 70987 to 52547 computations (26% saved)

prune4.0s (9.6%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	1865	8	1873
Fresh	2	1	3
Picked	1	0	1
Done	3	10	13
Total	1871	19	1890

Error

0.1b

Counts

1890 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.2b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	60.8b	(/.f64 (/.f64 beta alpha) 2)
	18.0b	(/.f64 (/.f64 2 (+.f64 alpha 2)) 2)
	44.2b	(/.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))) 2)
✓	44.2b	(/.f64 (-.f64 (/.f64 beta (/.f64 alpha 2)) (/.f64 -2 alpha)) 2)
✓	16.6b	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
✓	16.6b	(/.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
✓	31.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	33.1b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	17.1b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	18.7b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	34.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	58.2b	(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
✓	58.2b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	41.5b	(/.f64 2 2)
	47.7b	(/.f64 1 alpha)
	32.5b	(/.f64 1 2)
	47.5b	(*.f64 (+.f64 beta 2) (/.f64 1/2 alpha))
	60.8b	(*.f64 beta (/.f64 1/2 alpha))

Compiler

Compiled 205 to 161 computations (21.5% saved)

regimes959.0ms (2.3%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

5 calls:

407.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
245.0ms	alpha
136.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
111.0ms	beta
18.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
2.1b	2	`alpha`
4.0b	2	`beta`
0.2b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.2b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.2b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 488 to 359 computations (26.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999513964	-0.9999975149875242

Compiler

Compiled 20 to 15 computations (25% saved)

regimes167.0ms (0.4%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

94.0ms	beta
67.0ms	alpha

Results

Error	Segments	Branch
3.3b	2	`alpha`
4.7b	2	`beta`

Compiler

Compiled 117 to 90 computations (23.1% saved)

bsearch45.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
45.0ms	6272601.247888128	41149215364.94893

Results

42.0ms

128×

body

256

valid

Compiler

Compiled 212 to 175 computations (17.5% saved)

regimes318.0ms (0.8%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

229.0ms	alpha
69.0ms	beta

Results

Error	Segments	Branch
6.6b	2	`alpha`
4.7b	2	`beta`

Compiler

Compiled 97 to 75 computations (22.7% saved)

bsearch73.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
72.0ms	2.2371916309910193e-17	2.846933860918533e-15

Results

33.0ms	7×	body	512	valid
30.0ms	85×	body	256	valid
7.0ms	19×	body	1024	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 174 to 148 computations (14.9% saved)

regimes119.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

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

Outputs
(/.f64 (/.f64 2 (+.f64 alpha 2)) 2)
(/.f64 2 2)

Calls

2 calls:

72.0ms	beta
42.0ms	alpha

Results

Error	Segments	Branch
18.0b	1	`alpha`
4.7b	2	`beta`

Compiler

Compiled 79 to 61 computations (22.8% saved)

bsearch178.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
178.0ms	1850144390272.896	6002466931572675000.0

Results

160.0ms	101×	body	256	valid
11.0ms	30×	body	1024	valid
3.0ms	13×	body	512	valid

Compiler

Compiled 164 to 150 computations (8.5% saved)

regimes239.0ms (0.6%)

Counts

12 → 6

Calls

Call 1

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

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

Calls

2 calls:

177.0ms	beta
57.0ms	alpha

Results

Error	Segments	Branch
18.2b	2	`alpha`
16.4b	6	`beta`

Compiler

Compiled 72 to 55 computations (23.6% saved)

bsearch478.0ms (1.2%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
84.0ms	0.22040551833827682	810411.3525210547
72.0ms	2.2371916309910193e-17	2.846933860918533e-15
19.0ms	5.876196500268013e-30	7.233607973588651e-30
221.0ms	-3.6293295344842027e-270	-3.150206983460717e-271
80.0ms	-4.404214912714017e-243	-2.2777848530725947e-247

Results

273.0ms	111×	body	1024	valid
121.0ms	359×	body	256	valid
46.0ms	46×	body	512	valid
6.0ms	12×	body	2048	valid

Compiler

Compiled 512 to 459 computations (10.4% saved)

regimes287.0ms (0.7%)

Counts

10 → 6

Calls

Call 1

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

Outputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 1 2)
(/.f64 2 2)

Calls

2 calls:

192.0ms	beta
90.0ms	alpha

Results

Error	Segments	Branch
18.7b	2	`alpha`
16.8b	6	`beta`

Compiler

Compiled 58 to 43 computations (25.9% saved)

bsearch290.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
69.0ms	1850144390272.896	6002466931572675000.0
63.0ms	2.2371916309910193e-17	2.846933860918533e-15
36.0ms	5.876196500268013e-30	7.233607973588651e-30
52.0ms	-3.6293295344842027e-270	-3.150206983460717e-271
68.0ms	-4.404214912714017e-243	-2.2777848530725947e-247

Results

135.0ms	387×	body	256	valid
59.0ms	94×	body	1024	valid
40.0ms	38×	body	512	valid
5.0ms	9×	body	2048	valid

Compiler

Compiled 416 to 387 computations (7% saved)

regimes322.0ms (0.8%)

Accuracy

Total -42.3b remaining (-220.7%)

Threshold costs -42.3b (-220.7%)

Counts

2 → 2

Calls

Call 1

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

Outputs
(/.f64 1 2)
(/.f64 1 alpha)

Calls

2 calls:

310.0ms	beta
11.0ms	alpha

Results

Error	Segments	Branch
19.1b	2	`alpha`
29.8b	5	`beta`

Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch55.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
55.0ms	5.739448596075415e-10	3.360290007134405

Results

51.0ms

160×

body

256

valid

Compiler

Compiled 140 to 125 computations (10.7% saved)

simplify44.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	416

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007181240342483/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 320000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 beta 7098843361278085/2535301200456458802993406410752) (/.f64 (/.f64 2 (+.f64 alpha 2)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(if (<=.f64 beta 1860000000000) (/.f64 (/.f64 2 (+.f64 alpha 2)) 2) (/.f64 2 2))
(if (<=.f64 beta -1810606452244565/7872201966280717348342236651726314522606839627565764220475565031568317153405023507392663596386569558004653379220621715171372109048108541030444785631640845193093816697582678260933332408613360539868835105124282664122403089594119217080450011771426148362301864935424) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -6423913044624023/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656) (/.f64 1 alpha) (if (<=.f64 beta 321130730858841/44601490397061246283071436545296723011960832) (/.f64 1 2) (if (<=.f64 beta 4381000474388761/162259276829213363391578010288128) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 2 2))))))
(if (<=.f64 beta -1810606452244565/7872201966280717348342236651726314522606839627565764220475565031568317153405023507392663596386569558004653379220621715171372109048108541030444785631640845193093816697582678260933332408613360539868835105124282664122403089594119217080450011771426148362301864935424) (/.f64 1 2) (if (<=.f64 beta -2022342995529785/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664) (/.f64 1 alpha) (if (<=.f64 beta 321130730858841/44601490397061246283071436545296723011960832) (/.f64 1 2) (if (<=.f64 beta 8437482395119095/324518553658426726783156020576256) (/.f64 1 alpha) (if (<=.f64 beta 1860000000000) (/.f64 1 2) (/.f64 2 2))))))
(if (<=.f64 alpha 7385903388887613/9007199254740992) (/.f64 1 2) (/.f64 1 alpha))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007181240342483/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 320000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 beta 7098843361278085/2535301200456458802993406410752) (/.f64 (/.f64 2 (+.f64 alpha 2)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(if (<=.f64 beta 1860000000000) (/.f64 (/.f64 2 (+.f64 alpha 2)) 2) (/.f64 2 2))
(if (<=.f64 beta 1860000000000) (/.f64 (/.f64 2 (+.f64 alpha 2)) 2) 1)
(if (<=.f64 beta -1810606452244565/7872201966280717348342236651726314522606839627565764220475565031568317153405023507392663596386569558004653379220621715171372109048108541030444785631640845193093816697582678260933332408613360539868835105124282664122403089594119217080450011771426148362301864935424) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -6423913044624023/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656) (/.f64 1 alpha) (if (<=.f64 beta 321130730858841/44601490397061246283071436545296723011960832) (/.f64 1 2) (if (<=.f64 beta 4381000474388761/162259276829213363391578010288128) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 2 2))))))
(if (<=.f64 beta -1810606452244565/7872201966280717348342236651726314522606839627565764220475565031568317153405023507392663596386569558004653379220621715171372109048108541030444785631640845193093816697582678260933332408613360539868835105124282664122403089594119217080450011771426148362301864935424) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -6423913044624023/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656) (/.f64 1 alpha) (if (<=.f64 beta 321130730858841/44601490397061246283071436545296723011960832) 1/2 (if (<=.f64 beta 4381000474388761/162259276829213363391578010288128) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) 1)))))
(if (<=.f64 beta -1810606452244565/7872201966280717348342236651726314522606839627565764220475565031568317153405023507392663596386569558004653379220621715171372109048108541030444785631640845193093816697582678260933332408613360539868835105124282664122403089594119217080450011771426148362301864935424) (/.f64 1 2) (if (<=.f64 beta -2022342995529785/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664) (/.f64 1 alpha) (if (<=.f64 beta 321130730858841/44601490397061246283071436545296723011960832) (/.f64 1 2) (if (<=.f64 beta 8437482395119095/324518553658426726783156020576256) (/.f64 1 alpha) (if (<=.f64 beta 1860000000000) (/.f64 1 2) (/.f64 2 2))))))
(if (<=.f64 beta -1810606452244565/7872201966280717348342236651726314522606839627565764220475565031568317153405023507392663596386569558004653379220621715171372109048108541030444785631640845193093816697582678260933332408613360539868835105124282664122403089594119217080450011771426148362301864935424) 1/2 (if (<=.f64 beta -2022342995529785/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664) (/.f64 1 alpha) (if (<=.f64 beta 321130730858841/44601490397061246283071436545296723011960832) 1/2 (if (<=.f64 beta 8437482395119095/324518553658426726783156020576256) (/.f64 1 alpha) (if (<=.f64 beta 1860000000000) 1/2 1)))))
(if (<=.f64 alpha 7385903388887613/9007199254740992) (/.f64 1 2) (/.f64 1 alpha))
(if (<=.f64 alpha 7385903388887613/9007199254740992) 1/2 (/.f64 1 alpha))
(/.f64 1 2)
1/2

Compiler

Compiled 185 to 144 computations (22.2% saved)

soundness0.0ms (0%)

end1.4s (3.3%)

Compiler: Compiled 171 to 130 computations (24% saved)