Details

analyze38.0ms (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)

sample1.6s (17.8%)

Results

949.0ms	6441×	body	256	valid
399.0ms	1044×	body	1024	valid
206.0ms	654×	body	512	valid
73.0ms	117×	body	2048	valid

Bogosity

preprocess76.0ms (0.8%)

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)

simplify57.0ms (0.6%)

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)

eval1.0ms (0%)

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

prune2.0ms (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

15.5b

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize16.0ms (0.2%)

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)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
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 (-.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)

rewrite391.0ms (4.2%)

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

simplify159.0ms (1.7%)

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)))

eval166.0ms (1.8%)

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

prune62.0ms (0.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	318	9	327
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	318	10	328

Error

0.0b

Counts

328 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.0b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	15.5b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)
	31.3b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	15.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
▶	17.0b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	15.5b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 1) 2)
	45.1b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
	61.6b	(/.f64 (+.f64 -1 1) 2)
	48.1b	(/.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)
▶	40.1b	(/.f64 2 2)

Compiler

Compiled 269 to 215 computations (20.1% saved)

localize26.0ms (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 beta (+.f64 alpha (+.f64 beta 2))))
✓	0.0b	(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
✓	1.9b	(-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 73 to 47 computations (35.6% saved)

series7.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	-inf	(-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
0.0ms	beta	@	inf	(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
0.0ms	alpha	@	0	(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
0.0ms	beta	@	0	(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
0.0ms	beta	@	0	(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))

rewrite140.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`rational_best-simplify-73`
568×	`rational_best-simplify-47`
500×	`rational_best-simplify-62`
458×	`rational_best-simplify-1`
394×	`rational_best-simplify-65`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	112
1	83	112
2	198	112
3	735	94
4	4784	94

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

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

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

simplify286.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

884×	`rational_best-simplify-63`
834×	`rational_best-simplify-108`
750×	`rational_best-simplify-57`
610×	`rational_best-simplify-1`
578×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	621	13846
1	1706	13476
2	4926	13242

Stop Event

1×	node limit

Counts

298 → 530

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

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

localize3.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite144.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`rational_best-simplify-51`
908×	`rational_best-4`
908×	`rational_best-2`
908×	`rational_best-3`
908×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	56	32
2	126	32
3	391	32
4	2083	32

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

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

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

simplify158.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1336×	`rational_best-simplify-55`
1058×	`rational_best-simplify-67`
1006×	`rational_best-simplify-65`
986×	`rational_best-simplify-1`
556×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	3532
1	694	3412
2	2320	3208

Stop Event

1×	node limit

Counts

138 → 196

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

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

localize11.0ms (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
3.0ms	alpha	@	-inf	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
0.0ms	alpha	@	0	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
0.0ms	beta	@	0	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
0.0ms	beta	@	inf	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
0.0ms	alpha	@	inf	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)

rewrite98.0ms (1.1%)

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)))))))

simplify74.0ms (0.8%)

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)))
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(.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))

localize76.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))
✓	5.0b	(+.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 1)

Compiler

Compiled 63 to 39 computations (38.1% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite94.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`rational_best-2`
1402×	`rational_best-3`
1402×	`rational_best-1`
1400×	`rational_best-4`
1400×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	87
1	84	75
2	183	75
3	592	75
4	3233	75

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

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

Outputs

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

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

simplify255.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

954×	`rational_best-simplify-1`
920×	`rational_best-simplify-108`
610×	`rational_best-simplify-63`
600×	`rational_best-simplify-69`
562×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	477	9041
1	1452	8777
2	4665	8483

Stop Event

1×	node limit

Counts

181 → 318

Calls

Call 1

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

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

eval739.0ms (8%)

Compiler: Compiled 31998 to 23311 computations (27.1% saved)

prune297.0ms (3.2%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	1174	8	1182
Fresh	3	1	4
Picked	0	1	1
Done	0	5	5
Total	1177	15	1192

Error

Counts

1192 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.0b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	48.5b	(/.f64 (/.f64 2 alpha) 2)
▶	17.2b	(/.f64 (-.f64 (/.f64 beta (*.f64 4 (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 (/.f64 beta -2) (/.f64 beta 4)) (+.f64 beta 2)) 1)) 2)
✓	15.5b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)
	45.0b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	31.3b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	15.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	17.0b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	15.5b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 1) 2)
	43.1b	(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
▶	34.1b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
▶	45.1b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta))) 2)
	59.0b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
	48.1b	(/.f64 (.f64 -1 (+.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))) 2)
✓	40.1b	(/.f64 2 2)

Compiler

Compiled 332 to 266 computations (19.9% saved)

localize135.0ms (1.5%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.1b

(/.f64 (-.f64 (/.f64 beta -2) (/.f64 beta 4)) (+.f64 beta 2))

✓

0.2b

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

Compiler

Compiled 103 to 78 computations (24.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`rational_best-simplify-47`
782×	`rational_best-simplify-65`
780×	`rational_best-simplify-51`
770×	`rational_best-simplify-57`
770×	`rational_best-simplify-89`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	111
1	118	99
2	310	93
3	1351	63

Stop Event

1×	node limit

Counts

3 → 227

Calls

Call 1

Inputs

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

(/.f64 (-.f64 (/.f64 beta -2) (/.f64 beta 4)) (+.f64 beta 2))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 beta 1/4) (+.f64 beta 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 beta 1/4) (+.f64 beta 2)) (/.f64 0 (/.f64 (-.f64 -2 beta) (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 beta 1/4) (+.f64 beta 2)) (/.f64 0 (/.f64 (*.f64 4 (+.f64 beta 2)) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 beta 1/4) (+.f64 beta 2)) (/.f64 0 (/.f64 (*.f64 (+.f64 beta 2) 8) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 beta 1/4) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (*.f64 (+.f64 beta 2) 8)) (/.f64 beta (*.f64 (+.f64 beta 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (*.f64 (+.f64 beta 2) 16)) (/.f64 (*.f64 beta 3) (*.f64 (+.f64 beta 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (*.f64 (+.f64 beta 2) 16)) (/.f64 (*.f64 3 (/.f64 beta (*.f64 (+.f64 beta 2) 8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 beta 8) (+.f64 beta (+.f64 beta 4))) (/.f64 (/.f64 (*.f64 beta 3) 8) (+.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 (-.f64 -2 beta) (-.f64 -2 beta))) (/.f64 (*.f64 beta 1/4) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 beta (*.f64 (+.f64 beta 2) 8)) (/.f64 (-.f64 -2 beta) (-.f64 -2 beta))) (/.f64 (/.f64 beta (*.f64 (+.f64 beta 2) 8)) (/.f64 (-.f64 -2 beta) (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 (*.f64 4 (+.f64 beta 2)) (+.f64 beta 2))) (/.f64 (*.f64 beta 1/4) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 (*.f64 (+.f64 beta 2) 8) (+.f64 beta 2))) (/.f64 (*.f64 beta 1/4) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 (+.f64 beta (+.f64 beta 4)) (+.f64 beta 2))) (/.f64 (*.f64 beta 1/4) (+.f64 beta 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simplify206.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1244×	`rational_best-simplify-108`
718×	`rational_best-simplify-49`
698×	`rational_best-simplify-53`
590×	`rational_best-simplify-55`
586×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	561	10871
1	1717	10261
2	6473	9955

Stop Event

1×	node limit

Counts

263 → 478

Calls

Call 1

Inputs
(*.f64 1/8 beta)
(+.f64 (.f64 1/8 beta) (.f64 -1/16 (pow.f64 beta 2)))
(+.f64 (.f64 1/8 beta) (+.f64 (.f64 1/32 (pow.f64 beta 3)) (*.f64 -1/16 (pow.f64 beta 2))))
(+.f64 (.f64 1/8 beta) (+.f64 (.f64 -1/64 (pow.f64 beta 4)) (+.f64 (.f64 1/32 (pow.f64 beta 3)) (.f64 -1/16 (pow.f64 beta 2)))))
1/4
(-.f64 1/4 (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) 1/4) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) 1/4) (+.f64 (.f64 1/2 (/.f64 1 beta)) (.f64 2 (/.f64 1 (pow.f64 beta 3)))))
1/4
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(*.f64 -3/8 beta)
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-3/4
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(-.f64 (.f64 3/2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) 3/4))
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-3/4
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1
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2
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2
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(*.f64 (+.f64 beta beta) (/.f64 1/8 (+.f64 beta 2)))
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(*.f64 (/.f64 beta (+.f64 beta 2)) 1/4)
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(.f64 1/2 (.f64 beta (/.f64 1/2 (+.f64 beta 2))))
(*.f64 (/.f64 1/4 (+.f64 beta 2)) beta)
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(*.f64 1/4 (/.f64 beta (+.f64 beta 2)))
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(.f64 (/.f64 1/2 (+.f64 beta 2)) (.f64 beta 1/2))
(.f64 (/.f64 1 (.f64 (+.f64 beta 2) 16)) (*.f64 beta 4))
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(.f64 (/.f64 (.f64 beta 4) (+.f64 beta 2)) 1/16)
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(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (-.f64 -2 beta)) 8) (/.f64 beta (-.f64 -2 beta))) (/.f64 (+.f64 beta (+.f64 beta 4)) (+.f64 beta 2))) (/.f64 (.f64 3 (/.f64 beta (.f64 (+.f64 beta 2) 8))) (/.f64 (+.f64 beta (+.f64 beta 4)) (+.f64 beta 2))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 beta 3) -4) 3) (.f64 4 (+.f64 beta 2))) (/.f64 (+.f64 beta (neg.f64 (.f64 beta 1/4))) (*.f64 4 (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (.f64 beta 3) -4) (neg.f64 beta)) (+.f64 beta (+.f64 beta 4))) 2) (/.f64 (/.f64 (-.f64 (.f64 beta 1/4) (neg.f64 beta)) (+.f64 beta (+.f64 beta 4))) 2))
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (.f64 beta 3) -4) (neg.f64 beta)) (+.f64 beta (+.f64 beta 4))) (/.f64 (+.f64 beta (+.f64 beta 4)) (+.f64 beta 2))) (/.f64 (/.f64 (-.f64 (.f64 beta 1/4) (neg.f64 beta)) (+.f64 beta (+.f64 beta 4))) (/.f64 (+.f64 beta (+.f64 beta 4)) (+.f64 beta 2))))
(.f64 (+.f64 beta 2) (/.f64 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)) (+.f64 beta 2)))
(.f64 (/.f64 (.f64 beta 3) -4) (/.f64 1 (+.f64 beta 2)))
(.f64 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)) 1)
(.f64 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)) (/.f64 1 (/.f64 (-.f64 -2 beta) (-.f64 -2 beta))))
(.f64 1 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)))
(.f64 (-.f64 (.f64 beta -1/2) beta) (/.f64 1/2 (+.f64 beta 2)))
(.f64 (/.f64 (+.f64 beta (neg.f64 (.f64 beta 1/4))) (+.f64 beta 2)) -1)
(.f64 (/.f64 (-.f64 (.f64 beta -1/2) beta) (+.f64 beta 2)) 1/2)
(.f64 (/.f64 (-.f64 (.f64 beta -1/2) beta) (+.f64 beta 2)) (/.f64 1 (/.f64 (+.f64 beta (+.f64 beta 4)) (+.f64 beta 2))))
(.f64 (-.f64 (.f64 -2 beta) beta) (/.f64 1/4 (+.f64 beta 2)))
(.f64 1/2 (/.f64 (-.f64 (.f64 beta -1/2) beta) (+.f64 beta 2)))
(.f64 (/.f64 1/4 (+.f64 beta 2)) (-.f64 (.f64 -2 beta) beta))
(.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (.f64 beta 3) -4))
(.f64 (/.f64 1/2 (+.f64 beta 2)) (-.f64 (.f64 beta -1/2) beta))
(.f64 (/.f64 (-.f64 (.f64 -2 beta) beta) (+.f64 beta 2)) 1/4)
(.f64 (/.f64 (-.f64 (.f64 -2 beta) beta) (+.f64 beta 2)) (/.f64 1 (/.f64 (*.f64 4 (+.f64 beta 2)) (+.f64 beta 2))))
(.f64 (.f64 2 (-.f64 (*.f64 -2 beta) beta)) (/.f64 1/8 (+.f64 beta 2)))
(.f64 (/.f64 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)) (+.f64 beta 2)) (/.f64 1 (/.f64 1 (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 beta -1/2) beta) (+.f64 beta 2)) (+.f64 beta 2)) (/.f64 1 (/.f64 2 (+.f64 beta 2))))
(.f64 (.f64 (+.f64 beta 2) (/.f64 (*.f64 beta 3) -4)) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 2)))
(.f64 (.f64 (+.f64 beta 2) (-.f64 (*.f64 beta -1/2) beta)) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta 2)))
(.f64 (.f64 (+.f64 beta 2) (/.f64 (/.f64 (*.f64 beta 3) -4) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2)))
(.f64 (.f64 (+.f64 beta 2) (/.f64 (-.f64 (*.f64 beta -1/2) beta) (+.f64 beta 2))) (/.f64 1/2 (+.f64 beta 2)))
(.f64 (.f64 (+.f64 beta 2) (-.f64 (*.f64 -2 beta) beta)) (/.f64 (/.f64 1/4 (+.f64 beta 2)) (+.f64 beta 2)))
(pow.f64 (/.f64 (/.f64 (*.f64 beta 3) -4) (+.f64 beta 2)) 1)
(neg.f64 (/.f64 (+.f64 beta (neg.f64 (*.f64 beta 1/4))) (+.f64 beta 2)))
(+.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)) (-.f64 1 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) 0)
(+.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) (-.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)) (/.f64 (.f64 beta 1/4) (+.f64 beta 2))))
(+.f64 0 (-.f64 1 (/.f64 beta (-.f64 -2 beta))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 (/.f64 (+.f64 beta (neg.f64 (.f64 beta 1/4))) (+.f64 beta 2)) (+.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)) 1))
(+.f64 (+.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)) 1) (/.f64 (+.f64 beta (neg.f64 (.f64 beta 1/4))) (+.f64 beta 2)))
(+.f64 (.f64 beta (/.f64 1/2 (+.f64 beta 2))) (+.f64 (.f64 beta (/.f64 1/2 (+.f64 beta 2))) 1))
(+.f64 (.f64 beta (/.f64 1/2 (+.f64 beta 2))) (neg.f64 (+.f64 -1 (/.f64 beta (.f64 (+.f64 beta 2) -2)))))
(+.f64 (.f64 beta (/.f64 1/2 (+.f64 beta 2))) (-.f64 (/.f64 beta (.f64 (+.f64 beta 2) 8)) (+.f64 -1 (/.f64 (/.f64 (*.f64 beta 3) -4) (+.f64 beta (+.f64 beta 4))))))
(+.f64 (-.f64 1 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2))) (/.f64 (.f64 beta 1/4) (+.f64 beta 2)))
(+.f64 (/.f64 beta (.f64 (+.f64 beta 2) 8)) (-.f64 1 (/.f64 (+.f64 (/.f64 (.f64 beta 3) -4) (neg.f64 beta)) (+.f64 beta (+.f64 beta 4)))))
(+.f64 (+.f64 1 (.f64 beta (/.f64 1/2 (+.f64 beta 2)))) (.f64 beta (/.f64 1/2 (+.f64 beta 2))))
(+.f64 1/2 (/.f64 (+.f64 1 (/.f64 (*.f64 -2 beta) (-.f64 -2 beta))) 2))
(+.f64 (.f64 3 (/.f64 beta (.f64 (+.f64 beta 2) 8))) (+.f64 (/.f64 (-.f64 (*.f64 beta 1/4) (neg.f64 beta)) (+.f64 beta (+.f64 beta 4))) 1))
(+.f64 (.f64 3 (/.f64 beta (.f64 (+.f64 beta 2) 8))) (-.f64 (/.f64 beta (.f64 (+.f64 beta 2) 8)) (+.f64 -1 (/.f64 beta (.f64 (+.f64 beta 2) -2)))))
(+.f64 (+.f64 (.f64 beta (/.f64 1/2 (+.f64 beta 2))) 1/2) (+.f64 (.f64 beta (/.f64 1/2 (+.f64 beta 2))) 1/2))
(+.f64 (/.f64 (-.f64 (.f64 beta 1/4) (neg.f64 beta)) (+.f64 beta (+.f64 beta 4))) (neg.f64 (+.f64 -1 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta (+.f64 beta 4))))))
(+.f64 (/.f64 (-.f64 (.f64 beta 1/4) (-.f64 (.f64 beta -1/2) beta)) (+.f64 beta (+.f64 beta 4))) (+.f64 1 (/.f64 beta (*.f64 (+.f64 beta 2) 8))))
(+.f64 (/.f64 (-.f64 (.f64 beta 1/4) (-.f64 (.f64 beta -1/2) beta)) (+.f64 beta (+.f64 beta 4))) (+.f64 (+.f64 1 (/.f64 beta (*.f64 (+.f64 beta 2) 8))) 0))
(+.f64 (+.f64 1 (/.f64 beta (.f64 (+.f64 beta 2) 8))) (/.f64 (-.f64 (.f64 beta 1/4) (-.f64 (*.f64 beta -1/2) beta)) (+.f64 beta (+.f64 beta 4))))
(+.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 (.f64 beta 3) -4) (neg.f64 beta)) (+.f64 beta (+.f64 beta 4)))) (/.f64 beta (.f64 (+.f64 beta 2) 8)))
(+.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 (*.f64 beta 3) -4) (neg.f64 beta)) (+.f64 beta (+.f64 beta 4)))) (neg.f64 (/.f64 (/.f64 beta (-.f64 -2 beta)) 8)))
(+.f64 (-.f64 (/.f64 beta (.f64 (+.f64 beta 2) 8)) (+.f64 -1 (/.f64 beta (.f64 (+.f64 beta 2) -2)))) (.f64 3 (/.f64 beta (.f64 (+.f64 beta 2) 8))))
(+.f64 (-.f64 (/.f64 beta (.f64 (+.f64 beta 2) 8)) (+.f64 (+.f64 -1 (/.f64 beta (.f64 (+.f64 beta 2) -2))) (/.f64 (/.f64 beta (-.f64 -2 beta)) 8))) (/.f64 (*.f64 beta 1/4) (+.f64 beta 2)))
(+.f64 (-.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)) (-.f64 -1/2 (.f64 3 (/.f64 beta (.f64 (+.f64 beta 2) 8))))) (neg.f64 (-.f64 -1/2 (.f64 3 (/.f64 beta (*.f64 (+.f64 beta 2) 8))))))
(+.f64 (-.f64 1 (+.f64 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)) -1)) (neg.f64 (-.f64 1 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)))))
(+.f64 (-.f64 1 (neg.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)))) (/.f64 (+.f64 beta (neg.f64 (.f64 beta 1/4))) (+.f64 beta 2)))
(+.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 beta 3) -4) (+.f64 beta (+.f64 beta 4)))) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 beta -4) beta) (+.f64 beta 2)) 2)))
(+.f64 (-.f64 1 (-.f64 -1 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)))) (neg.f64 (+.f64 1 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)))))
(+.f64 (-.f64 (+.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)) 1) (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta (+.f64 beta 4)))) (.f64 3 (/.f64 beta (.f64 (+.f64 beta 2) 8))))
(+.f64 (-.f64 (.f64 beta (/.f64 1/2 (+.f64 beta 2))) (+.f64 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)) -1)) (neg.f64 (/.f64 (*.f64 beta 1/4) (+.f64 beta 2))))
(+.f64 (-.f64 1 (/.f64 beta (.f64 (+.f64 beta 2) -2))) (.f64 beta (/.f64 1/2 (+.f64 beta 2))))
(+.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 (/.f64 beta -4) beta) (+.f64 beta 2)) 2)) (.f64 3 (/.f64 beta (.f64 (+.f64 beta 2) 8))))
(+.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2))) 2) (/.f64 (+.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)) (-.f64 1 (/.f64 beta (-.f64 -2 beta)))) 2))
(+.f64 (/.f64 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2))) 4) (/.f64 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2))) 4))
(*.f64 1 (-.f64 1 (/.f64 beta (-.f64 -2 beta))))
(*.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) 1)
(*.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))) -1)
(.f64 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2))) 1/2)
(.f64 1/2 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2))))
(.f64 (.f64 2 (-.f64 2 (/.f64 (*.f64 -2 beta) (+.f64 beta 2)))) 1/4)
(/.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) 1)
(/.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))) -1)
(/.f64 (-.f64 2 (/.f64 (*.f64 -2 beta) (+.f64 beta 2))) 2)
(/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2)))) 4)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (.f64 2 (-.f64 (/.f64 (-.f64 (.f64 beta -1/2) beta) (+.f64 beta 2)) 2))) 4)
(/.f64 (/.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) (+.f64 beta 2)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) (*.f64 4 (+.f64 beta 2))) (/.f64 1/4 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) (*.f64 (+.f64 beta 2) 8)) (/.f64 1/8 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) (+.f64 beta (+.f64 beta 4))) (/.f64 1/2 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 2 (/.f64 (*.f64 -2 beta) (+.f64 beta 2))) (+.f64 beta 2)) (/.f64 2 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2))) (.f64 4 (+.f64 beta 2))) (/.f64 1/2 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2))) (.f64 (+.f64 beta 2) 8)) (/.f64 2 (*.f64 (+.f64 beta 2) 8)))
(/.f64 (/.f64 (-.f64 2 (/.f64 (*.f64 -2 beta) (+.f64 beta 2))) (+.f64 beta (+.f64 beta 4))) (/.f64 2 (+.f64 beta (+.f64 beta 4))))
(/.f64 (/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2)))) (+.f64 beta 2)) (/.f64 4 (+.f64 beta 2)))
(/.f64 (/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2)))) (*.f64 4 (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2)))
(/.f64 (/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2)))) (.f64 (+.f64 beta 2) 8)) (/.f64 4 (.f64 (+.f64 beta 2) 8)))
(/.f64 (/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2)))) (+.f64 beta (+.f64 beta 4))) (/.f64 4 (+.f64 beta (+.f64 beta 4))))
(pow.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) 1)
(neg.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))

Outputs
(*.f64 1/8 beta)
(+.f64 (.f64 1/8 beta) (.f64 -1/16 (pow.f64 beta 2)))
(+.f64 (.f64 1/8 beta) (+.f64 (.f64 1/32 (pow.f64 beta 3)) (*.f64 -1/16 (pow.f64 beta 2))))
(+.f64 (.f64 1/8 beta) (+.f64 (.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/32 (pow.f64 beta 3))))
(+.f64 (.f64 -1/16 (pow.f64 beta 2)) (+.f64 (.f64 1/8 beta) (*.f64 1/32 (pow.f64 beta 3))))
(+.f64 (.f64 1/8 beta) (+.f64 (.f64 -1/64 (pow.f64 beta 4)) (+.f64 (.f64 1/32 (pow.f64 beta 3)) (.f64 -1/16 (pow.f64 beta 2)))))
(+.f64 (+.f64 (.f64 -1/16 (pow.f64 beta 2)) (.f64 1/32 (pow.f64 beta 3))) (+.f64 (.f64 -1/64 (pow.f64 beta 4)) (.f64 1/8 beta)))
(+.f64 (+.f64 (.f64 -1/16 (pow.f64 beta 2)) (.f64 1/32 (pow.f64 beta 3))) (+.f64 (.f64 1/8 beta) (.f64 -1/64 (pow.f64 beta 4))))
1/4
(-.f64 1/4 (*.f64 1/2 (/.f64 1 beta)))
(-.f64 1/4 (/.f64 1/2 beta))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) 1/4) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 1/4 (/.f64 1 (pow.f64 beta 2))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 1/4 (/.f64 1 (pow.f64 beta 2))) (/.f64 1/2 beta))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) 1/4) (+.f64 (.f64 1/2 (/.f64 1 beta)) (.f64 2 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1/4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 1/2 (/.f64 1 beta)) (.f64 2 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1/4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (/.f64 1/2 beta) (/.f64 2 (pow.f64 beta 3))))
1/4
(-.f64 1/4 (*.f64 1/2 (/.f64 1 beta)))
(-.f64 1/4 (/.f64 1/2 beta))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) 1/4) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 1/4 (/.f64 1 (pow.f64 beta 2))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 1/4 (/.f64 1 (pow.f64 beta 2))) (/.f64 1/2 beta))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) 1/4) (+.f64 (.f64 1/2 (/.f64 1 beta)) (.f64 2 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1/4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 1/2 (/.f64 1 beta)) (.f64 2 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1/4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (/.f64 1/2 beta) (/.f64 2 (pow.f64 beta 3))))
(*.f64 -3/8 beta)
(*.f64 beta -3/8)
(+.f64 (.f64 3/16 (pow.f64 beta 2)) (.f64 -3/8 beta))
(+.f64 (.f64 beta -3/8) (.f64 (pow.f64 beta 2) 3/16))
(+.f64 (.f64 3/16 (pow.f64 beta 2)) (+.f64 (.f64 -3/32 (pow.f64 beta 3)) (*.f64 -3/8 beta)))
(+.f64 (.f64 beta -3/8) (+.f64 (.f64 (pow.f64 beta 3) -3/32) (*.f64 (pow.f64 beta 2) 3/16)))
(+.f64 (.f64 beta -3/8) (+.f64 (.f64 (pow.f64 beta 2) 3/16) (*.f64 (pow.f64 beta 3) -3/32)))
(+.f64 (.f64 3/16 (pow.f64 beta 2)) (+.f64 (.f64 -3/32 (pow.f64 beta 3)) (+.f64 (.f64 -3/8 beta) (.f64 3/64 (pow.f64 beta 4)))))
(+.f64 (.f64 (pow.f64 beta 2) 3/16) (+.f64 (.f64 (pow.f64 beta 3) -3/32) (+.f64 (.f64 beta -3/8) (.f64 (pow.f64 beta 4) 3/64))))
(+.f64 (.f64 (pow.f64 beta 2) 3/16) (+.f64 (+.f64 (.f64 beta -3/8) (.f64 (pow.f64 beta 3) -3/32)) (.f64 (pow.f64 beta 4) 3/64)))
-3/4
(-.f64 (*.f64 3/2 (/.f64 1 beta)) 3/4)
(-.f64 (*.f64 1 (/.f64 3/2 beta)) 3/4)
(-.f64 (/.f64 3/2 beta) 3/4)
(-.f64 (.f64 3/2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) 3/4))
(+.f64 (-.f64 (.f64 1 (/.f64 3/2 beta)) (.f64 3 (/.f64 1 (pow.f64 beta 2)))) -3/4)
(+.f64 (-.f64 (/.f64 3/2 beta) (/.f64 3 (pow.f64 beta 2))) -3/4)
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 beta 3))) (.f64 3/2 (/.f64 1 beta))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) 3/4))
(-.f64 (+.f64 (.f64 1 (/.f64 3/2 beta)) (.f64 1 (/.f64 6 (pow.f64 beta 3)))) (+.f64 3/4 (*.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(-.f64 (/.f64 3/2 beta) (-.f64 (/.f64 3 (pow.f64 beta 2)) (+.f64 -3/4 (/.f64 6 (pow.f64 beta 3)))))
-3/4
(-.f64 (*.f64 3/2 (/.f64 1 beta)) 3/4)
(-.f64 (*.f64 1 (/.f64 3/2 beta)) 3/4)
(-.f64 (/.f64 3/2 beta) 3/4)
(-.f64 (.f64 3/2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) 3/4))
(+.f64 (-.f64 (.f64 1 (/.f64 3/2 beta)) (.f64 3 (/.f64 1 (pow.f64 beta 2)))) -3/4)
(+.f64 (-.f64 (/.f64 3/2 beta) (/.f64 3 (pow.f64 beta 2))) -3/4)
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 beta 3))) (.f64 3/2 (/.f64 1 beta))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) 3/4))
(-.f64 (+.f64 (.f64 1 (/.f64 3/2 beta)) (.f64 1 (/.f64 6 (pow.f64 beta 3)))) (+.f64 3/4 (*.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(-.f64 (/.f64 3/2 beta) (-.f64 (/.f64 3 (pow.f64 beta 2)) (+.f64 -3/4 (/.f64 6 (pow.f64 beta 3)))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (*.f64 beta 1/2))
(+.f64 1 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2))))
(+.f64 (.f64 (pow.f64 beta 2) -1/4) (+.f64 1 (.f64 beta 1/2)))
(+.f64 1 (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(+.f64 1 (+.f64 (.f64 1/8 (pow.f64 beta 3)) (+.f64 (.f64 (pow.f64 beta 2) -1/4) (*.f64 beta 1/2))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (-.f64 (.f64 1 (/.f64 4 (pow.f64 beta 2))) (.f64 2 (/.f64 1 beta))) -2)
(+.f64 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)) 2)
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 1 (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (.f64 1 (/.f64 4 (pow.f64 beta 2))) (+.f64 (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 1 (/.f64 8 (pow.f64 beta 3)))) -2))
(-.f64 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 8 (pow.f64 beta 3))) (+.f64 -2 (/.f64 2 beta)))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (-.f64 (.f64 1 (/.f64 4 (pow.f64 beta 2))) (.f64 2 (/.f64 1 beta))) -2)
(+.f64 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)) 2)
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 1 (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (.f64 1 (/.f64 4 (pow.f64 beta 2))) (+.f64 (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 1 (/.f64 8 (pow.f64 beta 3)))) -2))
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(+.f64 (/.f64 (-.f64 beta (-.f64 (.f64 beta -1/2) (.f64 beta 1/4))) (+.f64 beta (+.f64 beta 4))) (+.f64 1 (/.f64 beta (*.f64 8 (+.f64 beta 2)))))
(+.f64 (/.f64 (-.f64 beta (.f64 beta -3/4)) (+.f64 beta (+.f64 beta 4))) (+.f64 1 (/.f64 beta (.f64 8 (+.f64 beta 2)))))
(+.f64 (/.f64 (-.f64 (.f64 beta 1/4) (-.f64 (.f64 beta -1/2) beta)) (+.f64 beta (+.f64 beta 4))) (+.f64 (+.f64 1 (/.f64 beta (*.f64 (+.f64 beta 2) 8))) 0))
(+.f64 (/.f64 (-.f64 beta (-.f64 (.f64 beta -1/2) (.f64 beta 1/4))) (+.f64 beta (+.f64 beta 4))) (+.f64 1 (/.f64 beta (*.f64 8 (+.f64 beta 2)))))
(+.f64 (/.f64 (-.f64 beta (.f64 beta -3/4)) (+.f64 beta (+.f64 beta 4))) (+.f64 1 (/.f64 beta (.f64 8 (+.f64 beta 2)))))
(+.f64 (+.f64 1 (/.f64 beta (.f64 (+.f64 beta 2) 8))) (/.f64 (-.f64 (.f64 beta 1/4) (-.f64 (*.f64 beta -1/2) beta)) (+.f64 beta (+.f64 beta 4))))
(+.f64 (/.f64 (-.f64 beta (-.f64 (.f64 beta -1/2) (.f64 beta 1/4))) (+.f64 beta (+.f64 beta 4))) (+.f64 1 (/.f64 beta (*.f64 8 (+.f64 beta 2)))))
(+.f64 (/.f64 (-.f64 beta (.f64 beta -3/4)) (+.f64 beta (+.f64 beta 4))) (+.f64 1 (/.f64 beta (.f64 8 (+.f64 beta 2)))))
(+.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 (.f64 beta 3) -4) (neg.f64 beta)) (+.f64 beta (+.f64 beta 4)))) (/.f64 beta (.f64 (+.f64 beta 2) 8)))
(+.f64 (/.f64 beta (.f64 8 (+.f64 beta 2))) (-.f64 1 (/.f64 (+.f64 (neg.f64 beta) (/.f64 (.f64 beta 3) -4)) (+.f64 beta (+.f64 beta 4)))))
(+.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 (*.f64 beta 3) -4) (neg.f64 beta)) (+.f64 beta (+.f64 beta 4)))) (neg.f64 (/.f64 (/.f64 beta (-.f64 -2 beta)) 8)))
(-.f64 1 (+.f64 (/.f64 (+.f64 (neg.f64 beta) (/.f64 (*.f64 beta 3) -4)) (+.f64 beta (+.f64 beta 4))) (/.f64 (/.f64 beta 8) (-.f64 -2 beta))))
(+.f64 (-.f64 1 (/.f64 (+.f64 (neg.f64 beta) (/.f64 (*.f64 beta 3) -4)) (+.f64 beta (+.f64 beta 4)))) (/.f64 (/.f64 beta -8) (-.f64 -2 beta)))
(+.f64 (-.f64 (/.f64 beta (.f64 (+.f64 beta 2) 8)) (+.f64 -1 (/.f64 beta (.f64 (+.f64 beta 2) -2)))) (.f64 3 (/.f64 beta (.f64 (+.f64 beta 2) 8))))
(+.f64 (.f64 beta (/.f64 3 (.f64 8 (+.f64 beta 2)))) (-.f64 (/.f64 beta (.f64 8 (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (.f64 (+.f64 beta 2) -2)))))
(+.f64 (.f64 (/.f64 beta (+.f64 beta 2)) 3/8) (+.f64 (-.f64 (/.f64 beta (.f64 8 (+.f64 beta 2))) (/.f64 (/.f64 beta (+.f64 beta 2)) -2)) 1))
(+.f64 (.f64 (/.f64 beta (+.f64 beta 2)) 3/8) (+.f64 (.f64 beta (/.f64 1/2 (+.f64 beta 2))) (+.f64 1 (/.f64 beta (*.f64 8 (+.f64 beta 2))))))
(+.f64 (-.f64 (/.f64 beta (.f64 (+.f64 beta 2) 8)) (+.f64 (+.f64 -1 (/.f64 beta (.f64 (+.f64 beta 2) -2))) (/.f64 (/.f64 beta (-.f64 -2 beta)) 8))) (/.f64 (*.f64 beta 1/4) (+.f64 beta 2)))
(+.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)) (-.f64 (/.f64 beta (.f64 8 (+.f64 beta 2))) (+.f64 (/.f64 (/.f64 beta 8) (-.f64 -2 beta)) (+.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 2) -2))))))
(+.f64 (*.f64 beta (/.f64 1/4 (+.f64 beta 2))) (+.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (-.f64 -2 beta))) 8) (+.f64 1 (neg.f64 (/.f64 (/.f64 beta (+.f64 beta 2)) -2)))))
(+.f64 (.f64 beta (/.f64 1/4 (+.f64 beta 2))) (+.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (-.f64 -2 beta))) 8) (+.f64 1 (.f64 beta (/.f64 1/2 (+.f64 beta 2))))))
(+.f64 (-.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)) (-.f64 -1/2 (.f64 3 (/.f64 beta (.f64 (+.f64 beta 2) 8))))) (neg.f64 (-.f64 -1/2 (.f64 3 (/.f64 beta (*.f64 (+.f64 beta 2) 8))))))
(-.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)) (+.f64 (-.f64 -1/2 (.f64 beta (/.f64 3 (.f64 8 (+.f64 beta 2))))) (-.f64 -1/2 (.f64 beta (/.f64 3 (*.f64 8 (+.f64 beta 2)))))))
(+.f64 (-.f64 (.f64 beta (/.f64 1/4 (+.f64 beta 2))) (-.f64 -1/2 (.f64 (/.f64 beta (+.f64 beta 2)) 3/8))) (-.f64 (*.f64 (/.f64 beta (+.f64 beta 2)) 3/8) -1/2))
(+.f64 (+.f64 (-.f64 (.f64 (/.f64 beta (+.f64 beta 2)) 3/8) -1/2) (.f64 beta (/.f64 1/4 (+.f64 beta 2)))) (-.f64 (*.f64 (/.f64 beta (+.f64 beta 2)) 3/8) -1/2))
(+.f64 (-.f64 1 (+.f64 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)) -1)) (neg.f64 (-.f64 1 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)))))
(-.f64 1 (+.f64 (+.f64 -1 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2))) (-.f64 1 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)))))
(+.f64 (+.f64 2 (neg.f64 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))))) (-.f64 (*.f64 beta (/.f64 1/4 (+.f64 beta 2))) 1))
(+.f64 (-.f64 2 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))) (+.f64 (*.f64 beta (/.f64 1/4 (+.f64 beta 2))) -1))
(+.f64 (-.f64 1 (neg.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)))) (/.f64 (+.f64 beta (neg.f64 (.f64 beta 1/4))) (+.f64 beta 2)))
(+.f64 (/.f64 (+.f64 beta (neg.f64 (.f64 beta 1/4))) (+.f64 beta 2)) (+.f64 1 (/.f64 (.f64 beta 1/4) (+.f64 beta 2))))
(+.f64 1 (/.f64 (+.f64 (.f64 beta 1/4) (+.f64 beta (neg.f64 (.f64 beta 1/4)))) (+.f64 beta 2)))
(+.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 beta 3) -4) (+.f64 beta (+.f64 beta 4)))) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 beta -4) beta) (+.f64 beta 2)) 2)))
(-.f64 1 (+.f64 (/.f64 (.f64 beta 3) (.f64 -4 (+.f64 beta (+.f64 beta 4)))) (/.f64 (-.f64 (/.f64 beta -4) beta) (*.f64 (+.f64 beta 2) 2))))
(+.f64 (-.f64 1 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta (+.f64 beta 4)))) (/.f64 (/.f64 (.f64 beta -5/4) (+.f64 beta 2)) -2))
(+.f64 (-.f64 1 (-.f64 -1 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)))) (neg.f64 (+.f64 1 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)))))
(+.f64 (-.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)) -2) (neg.f64 (+.f64 1 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)))))
(-.f64 (.f64 beta (/.f64 1/4 (+.f64 beta 2))) (+.f64 -2 (+.f64 1 (.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))))))
(+.f64 (+.f64 2 (.f64 beta (/.f64 1/4 (+.f64 beta 2)))) (-.f64 -1 (.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))))
(+.f64 (-.f64 (+.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)) 1) (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta (+.f64 beta 4)))) (.f64 3 (/.f64 beta (.f64 (+.f64 beta 2) 8))))
(+.f64 (.f64 beta (/.f64 3 (.f64 8 (+.f64 beta 2)))) (-.f64 (+.f64 1 (/.f64 (.f64 beta 1/4) (+.f64 beta 2))) (/.f64 (.f64 beta 3) (*.f64 -4 (+.f64 beta (+.f64 beta 4))))))
(+.f64 (.f64 (/.f64 beta (+.f64 beta 2)) 3/8) (-.f64 (.f64 beta (/.f64 1/4 (+.f64 beta 2))) (+.f64 -1 (/.f64 (/.f64 (*.f64 beta 3) -4) (+.f64 beta (+.f64 beta 4))))))
(+.f64 (.f64 (/.f64 beta (+.f64 beta 2)) 3/8) (-.f64 1 (-.f64 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta (+.f64 beta 4))) (*.f64 beta (/.f64 1/4 (+.f64 beta 2))))))
(+.f64 (-.f64 (.f64 beta (/.f64 1/2 (+.f64 beta 2))) (+.f64 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)) -1)) (neg.f64 (/.f64 (*.f64 beta 1/4) (+.f64 beta 2))))
(-.f64 (.f64 beta (/.f64 1/2 (+.f64 beta 2))) (+.f64 (+.f64 -1 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2))) (/.f64 (*.f64 beta 1/4) (+.f64 beta 2))))
(-.f64 (.f64 beta (/.f64 1/2 (+.f64 beta 2))) (+.f64 (.f64 beta (/.f64 1/4 (+.f64 beta 2))) (+.f64 -1 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))))))
(-.f64 (.f64 beta (/.f64 1/2 (+.f64 beta 2))) (-.f64 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))) (-.f64 1 (.f64 beta (/.f64 1/4 (+.f64 beta 2))))))
(+.f64 (-.f64 1 (/.f64 beta (.f64 (+.f64 beta 2) -2))) (.f64 beta (/.f64 1/2 (+.f64 beta 2))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 (/.f64 beta -4) beta) (+.f64 beta 2)) 2)) (.f64 3 (/.f64 beta (.f64 (+.f64 beta 2) 8))))
(+.f64 (.f64 beta (/.f64 3 (.f64 8 (+.f64 beta 2)))) (-.f64 1 (/.f64 (-.f64 (/.f64 beta -4) beta) (*.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 (/.f64 beta (+.f64 beta 2)) 3/8) (-.f64 1 (/.f64 (.f64 beta -5/4) (*.f64 2 (+.f64 beta 2)))))
(+.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2))) 2) (/.f64 (+.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)) (-.f64 1 (/.f64 beta (-.f64 -2 beta)))) 2))
(/.f64 (+.f64 (-.f64 1 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2))) (+.f64 (/.f64 (.f64 beta 1/4) (+.f64 beta 2)) (-.f64 1 (/.f64 beta (-.f64 -2 beta))))) 2)
(/.f64 (+.f64 (.f64 beta (/.f64 1/4 (+.f64 beta 2))) (+.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) (-.f64 1 (.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))))) 2)
(+.f64 (-.f64 1/2 (/.f64 (/.f64 (.f64 beta 3) (+.f64 beta 2)) -8)) (/.f64 (-.f64 (+.f64 1 (.f64 beta (/.f64 1/4 (+.f64 beta 2)))) (/.f64 beta (-.f64 -2 beta))) 2))
(+.f64 (/.f64 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2))) 4) (/.f64 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2))) 4))
(/.f64 (-.f64 2 (/.f64 (*.f64 beta -2) (+.f64 beta 2))) 2)
(-.f64 1 (/.f64 (.f64 beta -2) (.f64 2 (+.f64 beta 2))))
(*.f64 1 (-.f64 1 (/.f64 beta (-.f64 -2 beta))))
(-.f64 1 (/.f64 beta (-.f64 -2 beta)))
(*.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) 1)
(-.f64 1 (/.f64 beta (-.f64 -2 beta)))
(*.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))) -1)
(-.f64 1 (/.f64 beta (-.f64 -2 beta)))
(.f64 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2))) 1/2)
(.f64 1/2 (-.f64 2 (/.f64 (.f64 beta -2) (+.f64 beta 2))))
(.f64 1/2 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2))))
(.f64 1/2 (-.f64 2 (/.f64 (.f64 beta -2) (+.f64 beta 2))))
(.f64 (.f64 2 (-.f64 2 (/.f64 (*.f64 -2 beta) (+.f64 beta 2)))) 1/4)
(.f64 1/2 (-.f64 2 (/.f64 (.f64 beta -2) (+.f64 beta 2))))
(/.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) 1)
(-.f64 1 (/.f64 beta (-.f64 -2 beta)))
(/.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))) -1)
(-.f64 1 (/.f64 beta (-.f64 -2 beta)))
(/.f64 (-.f64 2 (/.f64 (*.f64 -2 beta) (+.f64 beta 2))) 2)
(/.f64 (-.f64 2 (/.f64 (*.f64 beta -2) (+.f64 beta 2))) 2)
(-.f64 1 (/.f64 (.f64 beta -2) (.f64 2 (+.f64 beta 2))))
(/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2)))) 4)
(/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 beta -2) (+.f64 beta 2)))) 4)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (.f64 2 (-.f64 (/.f64 (-.f64 (.f64 beta -1/2) beta) (+.f64 beta 2)) 2))) 4)
(/.f64 (/.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) (+.f64 beta 2)) (/.f64 1 (+.f64 beta 2)))
(-.f64 1 (/.f64 beta (-.f64 -2 beta)))
(/.f64 (/.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) (*.f64 4 (+.f64 beta 2))) (/.f64 1/4 (+.f64 beta 2)))
(-.f64 1 (/.f64 beta (-.f64 -2 beta)))
(/.f64 (/.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) (*.f64 (+.f64 beta 2) 8)) (/.f64 1/8 (+.f64 beta 2)))
(-.f64 1 (/.f64 beta (-.f64 -2 beta)))
(/.f64 (/.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) (+.f64 beta (+.f64 beta 4))) (/.f64 1/2 (+.f64 beta 2)))
(/.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) (*.f64 (+.f64 beta (+.f64 beta 4)) (/.f64 1/2 (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 2 (/.f64 (*.f64 -2 beta) (+.f64 beta 2))) (+.f64 beta 2)) (/.f64 2 (+.f64 beta 2)))
(/.f64 (-.f64 2 (/.f64 (*.f64 beta -2) (+.f64 beta 2))) 2)
(-.f64 1 (/.f64 (.f64 beta -2) (.f64 2 (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2))) (.f64 4 (+.f64 beta 2))) (/.f64 1/2 (+.f64 beta 2)))
(/.f64 (-.f64 2 (/.f64 (*.f64 beta -2) (+.f64 beta 2))) 2)
(-.f64 1 (/.f64 (.f64 beta -2) (.f64 2 (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2))) (.f64 (+.f64 beta 2) 8)) (/.f64 2 (*.f64 (+.f64 beta 2) 8)))
(/.f64 (-.f64 2 (/.f64 (*.f64 beta -2) (+.f64 beta 2))) 2)
(-.f64 1 (/.f64 (.f64 beta -2) (.f64 2 (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 2 (/.f64 (*.f64 -2 beta) (+.f64 beta 2))) (+.f64 beta (+.f64 beta 4))) (/.f64 2 (+.f64 beta (+.f64 beta 4))))
(-.f64 (/.f64 (-.f64 2 (/.f64 (*.f64 beta -2) (+.f64 beta 2))) 2) (/.f64 0 (+.f64 beta (+.f64 beta 4))))
(-.f64 1 (+.f64 (/.f64 0 (+.f64 beta (+.f64 beta 4))) (/.f64 (.f64 beta -2) (.f64 2 (+.f64 beta 2)))))
(/.f64 (/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2)))) (+.f64 beta 2)) (/.f64 4 (+.f64 beta 2)))
(/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 beta -2) (+.f64 beta 2)))) 4)
(/.f64 (/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2)))) (*.f64 4 (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2)))
(/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 beta -2) (+.f64 beta 2)))) 4)
(/.f64 (/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2)))) (.f64 (+.f64 beta 2) 8)) (/.f64 4 (.f64 (+.f64 beta 2) 8)))
(/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 beta -2) (+.f64 beta 2)))) 4)
(/.f64 (/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 -2 beta) (+.f64 beta 2)))) (+.f64 beta (+.f64 beta 4))) (/.f64 4 (+.f64 beta (+.f64 beta 4))))
(-.f64 (/.f64 (.f64 2 (-.f64 2 (/.f64 (.f64 beta -2) (+.f64 beta 2)))) 4) (/.f64 0 (+.f64 beta (+.f64 beta 4))))
(pow.f64 (-.f64 1 (/.f64 beta (-.f64 -2 beta))) 1)
(-.f64 1 (/.f64 beta (-.f64 -2 beta)))
(neg.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))
(-.f64 1 (/.f64 beta (-.f64 -2 beta)))

localize5.0ms (0.1%)

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

localize50.0ms (0.5%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 alpha (+.f64 alpha 2))
✓	2.4b	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite86.0ms (0.9%)

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)))))))

simplify102.0ms (1.1%)

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

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 51 to 34 computations (33.3% saved)

series5.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	0	(+.f64 2 (neg.f64 (/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta)))
0.0ms	beta	@	0	(/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta)
0.0ms	alpha	@	inf	(+.f64 2 (neg.f64 (/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta)))
0.0ms	beta	@	inf	(/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta)
0.0ms	beta	@	-inf	(/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta)

rewrite118.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1832×	`rational_best-1`
1830×	`rational_best-4`
1830×	`rational_best-2`
1830×	`rational_best-3`
442×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	85	61
2	210	57
3	794	57
4	5492	57

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

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

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

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

simplify121.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1460×	`rational_best-simplify-47`
1314×	`rational_best-simplify-55`
866×	`rational_best-simplify-50`
802×	`rational_best-simplify-52`
800×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	5649
1	890	4491
2	2706	4201

Stop Event

1×	node limit

Counts

205 → 211

Calls

Call 1

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

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

eval769.0ms (8.3%)

Compiler: Compiled 19949 to 15565 computations (22% saved)

prune269.0ms (2.9%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	842	4	846
Fresh	2	2	4
Picked	1	0	1
Done	1	9	10
Total	846	15	861

Error

Counts

861 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.0b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	18.5b	(/.f64 (/.f64 2 (+.f64 alpha 2)) 2)
✓	48.5b	(/.f64 (/.f64 2 alpha) 2)
▶	17.2b	(/.f64 (-.f64 (/.f64 beta (.f64 4 (+.f64 beta 2))) (-.f64 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)) 1)) 2)
✓	15.5b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)
▶	45.0b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	31.3b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	15.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	17.0b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	15.5b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 1) 2)
✓	34.1b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	43.0b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 alpha alpha) beta))) 2)
▶	59.0b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	40.1b	(/.f64 2 2)
▶	31.7b	(/.f64 1 2)

Compiler

Compiled 241 to 197 computations (18.3% saved)

localize34.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 beta (.f64 4 (+.f64 beta 2))) (-.f64 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)) 1))
✓	0.1b	(/.f64 (/.f64 (*.f64 beta 3) -4) (+.f64 beta 2))
	0.2b	(/.f64 beta (*.f64 4 (+.f64 beta 2)))

Compiler

Compiled 91 to 72 computations (20.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	0	(-.f64 (/.f64 beta (.f64 4 (+.f64 beta 2))) (-.f64 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)) 1))
0.0ms	beta	@	0	(/.f64 (/.f64 (*.f64 beta 3) -4) (+.f64 beta 2))
0.0ms	beta	@	inf	(/.f64 (/.f64 (*.f64 beta 3) -4) (+.f64 beta 2))
0.0ms	beta	@	-inf	(/.f64 (/.f64 (*.f64 beta 3) -4) (+.f64 beta 2))
0.0ms	beta	@	inf	(-.f64 (/.f64 beta (.f64 4 (+.f64 beta 2))) (-.f64 (/.f64 (/.f64 (.f64 beta 3) -4) (+.f64 beta 2)) 1))

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`rational_best-simplify-89`
714×	`rational_best-simplify-65`
660×	`rational_best-simplify-67`
524×	`rational_best-simplify-52`
494×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	80
1	120	68
2	316	68
3	1263	68

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 beta 6) -16) (+.f64 beta 2)) (/.f64 (/.f64 (*.f64 beta 6) -16) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 beta 6) -1/4) (*.f64 (+.f64 beta 2) 8)) (+.f64 (/.f64 (*.f64 (*.f64 beta 6) -1/4) (*.f64 (+.f64 beta 2) 8)) (/.f64 (/.f64 (*.f64 beta 6) -16) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 beta 6) -1/4) (*.f64 (+.f64 beta 2) 8)) (/.f64 (/.f64 (*.f64 beta 9) -8) (+.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 beta 6) -1/4) (*.f64 (+.f64 beta 2) 8)) (/.f64 (/.f64 (/.f64 (*.f64 beta 9) -8) (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 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(-.f64 1 (/.f64 (-.f64 (*.f64 (*.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) (*.f64 -4 (+.f64 beta 2))) (/.f64 -1/4 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (*.f64 (*.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) (*.f64 (+.f64 beta 2) 8)) (/.f64 1/8 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (*.f64 (*.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) (+.f64 beta (+.f64 beta 4))) (/.f64 1/2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (*.f64 (*.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) (*.f64 (+.f64 beta 2) -8)) (/.f64 -1/8 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (+.f64 beta 2)) (/.f64 2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (*.f64 (+.f64 beta 2) 4)) (/.f64 1/2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (*.f64 -4 (+.f64 beta 2))) (/.f64 -1/2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (*.f64 (+.f64 beta 2) 8)) (/.f64 1/4 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (+.f64 beta (+.f64 beta 4))) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (*.f64 (+.f64 beta 2) -8)) (/.f64 -1/4 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (+.f64 beta 2)) (/.f64 4 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (*.f64 (+.f64 beta 2) 4)) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (*.f64 -4 (+.f64 beta 2))) (/.f64 4 (*.f64 -4 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (*.f64 (+.f64 beta 2) 8)) (/.f64 1/2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (+.f64 beta (+.f64 beta 4))) (/.f64 2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (*.f64 (+.f64 beta 2) -8)) (/.f64 -1/2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (-.f64 (*.f64 (*.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (/.f64 (-.f64 (*.f64 (*.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))))))))

simplify169.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

964×	`rational_best-simplify-108`
824×	`rational_best-simplify-47`
824×	`rational_best-simplify-63`
722×	`rational_best-simplify-69`
566×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	7074
1	1296	6484
2	4778	5170

Stop Event

1×	node limit

Counts

158 → 230

Calls

Call 1

Inputs
(*.f64 -3/8 beta)
(+.f64 (.f64 3/16 (pow.f64 beta 2)) (.f64 -3/8 beta))
(+.f64 (.f64 3/16 (pow.f64 beta 2)) (+.f64 (.f64 -3/32 (pow.f64 beta 3)) (*.f64 -3/8 beta)))
(+.f64 (.f64 3/16 (pow.f64 beta 2)) (+.f64 (.f64 -3/32 (pow.f64 beta 3)) (+.f64 (.f64 -3/8 beta) (.f64 3/64 (pow.f64 beta 4)))))
-3/4
(-.f64 (*.f64 3/2 (/.f64 1 beta)) 3/4)
(-.f64 (.f64 3/2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) 3/4))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 beta 3))) (.f64 3/2 (/.f64 1 beta))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) 3/4))
-3/4
(-.f64 (*.f64 3/2 (/.f64 1 beta)) 3/4)
(-.f64 (.f64 3/2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) 3/4))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 beta 3))) (.f64 3/2 (/.f64 1 beta))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) 3/4))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2))))
(+.f64 1 (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))) 0)
(+.f64 0 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))))
(+.f64 (/.f64 (/.f64 (.f64 beta 6) -16) (+.f64 beta 2)) (/.f64 (/.f64 (.f64 beta 6) -16) (+.f64 beta 2)))
(+.f64 (/.f64 (.f64 (.f64 beta 6) -1/4) (.f64 (+.f64 beta 2) 8)) (+.f64 (/.f64 (.f64 (.f64 beta 6) -1/4) (.f64 (+.f64 beta 2) 8)) (/.f64 (/.f64 (*.f64 beta 6) -16) (+.f64 beta 2))))
(+.f64 (/.f64 (.f64 (.f64 beta 6) -1/4) (.f64 (+.f64 beta 2) 8)) (/.f64 (/.f64 (.f64 beta 9) -8) (+.f64 beta (+.f64 beta 4))))
(+.f64 (/.f64 (.f64 (.f64 beta 6) -1/4) (.f64 (+.f64 beta 2) 8)) (/.f64 (/.f64 (/.f64 (.f64 beta 9) -8) (+.f64 beta 2)) 2))
(+.f64 (/.f64 (.f64 (.f64 beta 6) -1/4) (.f64 (+.f64 beta 2) 8)) (/.f64 (.f64 -1/4 (.f64 beta 9)) (.f64 (+.f64 beta 2) 4)))
(+.f64 (/.f64 (.f64 beta 3) (.f64 (+.f64 beta 2) -16)) (/.f64 (.f64 beta 9) (.f64 (+.f64 beta 2) -16)))
(-.f64 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))) 0)
(-.f64 0 (neg.f64 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))))
(-.f64 (/.f64 (/.f64 (.f64 beta 6) -16) (+.f64 beta 2)) (/.f64 (neg.f64 (.f64 beta 6)) (*.f64 (+.f64 beta 2) -16)))
(-.f64 (/.f64 (/.f64 (.f64 beta 6) -16) (+.f64 beta 2)) (/.f64 (neg.f64 (.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))) 2))
(-.f64 (/.f64 (/.f64 (.f64 beta 6) -16) (+.f64 beta 2)) (/.f64 (/.f64 (neg.f64 (.f64 beta 6)) 4) (*.f64 -4 (+.f64 beta 2))))
(-.f64 (/.f64 (.f64 (.f64 beta 6) -1/4) (+.f64 beta 2)) (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 beta 6) -1/4) (.f64 (+.f64 beta 2) 8)) (/.f64 (/.f64 (.f64 beta 6) -16) (+.f64 beta 2))) (-.f64 0 (/.f64 (.f64 (.f64 beta 6) -1/4) (*.f64 (+.f64 beta 2) 8))))
(-.f64 (/.f64 (/.f64 (.f64 beta 9) -8) (+.f64 beta (+.f64 beta 4))) (/.f64 (/.f64 (neg.f64 (.f64 beta 3)) -8) (+.f64 beta (+.f64 beta 4))))
(-.f64 (/.f64 (.f64 beta 9) (.f64 (+.f64 beta 2) -16)) (/.f64 (neg.f64 (.f64 beta 3)) (.f64 (+.f64 beta 2) -16)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 beta 9) -8) (+.f64 beta 2)) 2) (/.f64 (/.f64 (neg.f64 (.f64 beta 6)) (*.f64 (+.f64 beta 2) -16)) 2))
(-.f64 (/.f64 (.f64 -1/4 (.f64 beta 9)) (.f64 (+.f64 beta 2) 4)) (/.f64 (/.f64 (neg.f64 (.f64 beta 6)) -8) (*.f64 (+.f64 beta 2) 4)))
(.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))
(.f64 (.f64 (*.f64 beta 6) -1/8) (/.f64 1 (+.f64 beta 2)))
(.f64 (+.f64 beta 2) (/.f64 (.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))) (+.f64 beta 2)))
(.f64 (.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))) 1)
(.f64 1 (.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))))
(.f64 (/.f64 (.f64 beta 3) (+.f64 beta 2)) -1/4)
(.f64 (.f64 -4 (+.f64 beta 2)) (/.f64 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))) (*.f64 -4 (+.f64 beta 2))))
(.f64 (.f64 (*.f64 beta 6) -1/4) (/.f64 1/2 (+.f64 beta 2)))
(.f64 (.f64 beta 6) (/.f64 -1/8 (+.f64 beta 2)))
(.f64 (.f64 beta 12) (/.f64 1 (*.f64 (+.f64 beta 2) -16)))
(.f64 (/.f64 (.f64 (*.f64 beta 6) -1/4) (+.f64 beta 2)) 1/2)
(.f64 (/.f64 (.f64 beta 6) (+.f64 beta 2)) -1/8)
(.f64 (.f64 (*.f64 beta 6) -1/2) (/.f64 1/4 (+.f64 beta 2)))
(.f64 1/2 (/.f64 (.f64 (*.f64 beta 6) -1/4) (+.f64 beta 2)))
(.f64 (/.f64 1/4 (+.f64 beta 2)) (.f64 (*.f64 beta 6) -1/2))
(.f64 (/.f64 1 (+.f64 beta 2)) (.f64 (*.f64 beta 6) -1/8))
(.f64 (/.f64 1/2 (+.f64 beta 2)) (.f64 (*.f64 beta 6) -1/4))
(.f64 -1/8 (/.f64 (.f64 beta 6) (+.f64 beta 2)))
(.f64 (/.f64 -1/4 (+.f64 beta 2)) (.f64 beta 3))
(.f64 (/.f64 -1/8 (+.f64 beta 2)) (.f64 beta 6))
(.f64 (/.f64 (.f64 (*.f64 beta 6) -1/2) (+.f64 beta 2)) 1/4)
(.f64 (/.f64 (.f64 beta 12) (+.f64 beta 2)) -1/16)
(.f64 (.f64 2 (.f64 (.f64 beta 6) -1/2)) (/.f64 1/8 (+.f64 beta 2)))
(.f64 (/.f64 (/.f64 (.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 2)) (/.f64 1 (/.f64 -4 (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 (.f64 beta 6) (+.f64 beta 2)) (+.f64 beta 2)) (/.f64 1 (/.f64 -8 (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 (/.f64 (.f64 beta 6) -16) (+.f64 beta 2)) -2) -4)
(.f64 -1/4 (/.f64 (.f64 beta 3) (+.f64 beta 2)))
(.f64 (/.f64 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))) (.f64 -4 (+.f64 beta 2))) (/.f64 1 (/.f64 -1/4 (+.f64 beta 2))))
(.f64 (/.f64 (.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))) (+.f64 beta 2)) (/.f64 1 (/.f64 1 (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 (.f64 (*.f64 beta 6) -1/4) (+.f64 beta 2)) -4) -2)
(.f64 (/.f64 (/.f64 (.f64 (*.f64 beta 6) -1/4) (+.f64 beta 2)) (+.f64 beta 2)) (/.f64 1 (/.f64 2 (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 (.f64 (.f64 beta 6) -1/4) (+.f64 beta 2)) (.f64 -4 (+.f64 beta 2))) (/.f64 1 (/.f64 -1/2 (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 (.f64 (*.f64 beta 6) -1/4) (+.f64 beta 2)) -2) -1)
(.f64 (.f64 (+.f64 beta 2) (.f64 (.f64 beta 6) -1/8)) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 2)))
(.f64 (.f64 (.f64 -4 (+.f64 beta 2)) (.f64 beta 3)) (/.f64 (/.f64 -1/4 (+.f64 beta 2)) (*.f64 -4 (+.f64 beta 2))))
(.f64 (.f64 (+.f64 beta 2) (*.f64 beta 3)) (/.f64 (/.f64 -1/4 (+.f64 beta 2)) (+.f64 beta 2)))
(.f64 (.f64 (+.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta 2)))
(.f64 (.f64 (.f64 -4 (+.f64 beta 2)) (.f64 beta 6)) (/.f64 (/.f64 -1/8 (+.f64 beta 2)) (*.f64 -4 (+.f64 beta 2))))
(.f64 (.f64 (+.f64 beta 2) (*.f64 beta 6)) (/.f64 (/.f64 -1/8 (+.f64 beta 2)) (+.f64 beta 2)))
(.f64 (.f64 (+.f64 beta 2) (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))) (/.f64 1 (+.f64 beta 2)))
(.f64 (.f64 (+.f64 beta 2) (/.f64 (*.f64 beta 3) (+.f64 beta 2))) (/.f64 -1/4 (+.f64 beta 2)))
(.f64 (.f64 (+.f64 beta 2) (/.f64 (*.f64 beta 6) (+.f64 beta 2))) (/.f64 -1/8 (+.f64 beta 2)))
(.f64 (.f64 (+.f64 beta 2) (/.f64 (.f64 (.f64 beta 6) -1/4) (+.f64 beta 2))) (/.f64 1/2 (+.f64 beta 2)))
(.f64 (.f64 (+.f64 beta 2) (.f64 (.f64 beta 6) -1/2)) (/.f64 (/.f64 1/4 (+.f64 beta 2)) (+.f64 beta 2)))
(.f64 (.f64 (.f64 -4 (+.f64 beta 2)) (.f64 (.f64 beta 6) -1/8)) (/.f64 (/.f64 1 (+.f64 beta 2)) (.f64 -4 (+.f64 beta 2))))
(.f64 (.f64 (.f64 -4 (+.f64 beta 2)) (.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))) (/.f64 -1/4 (+.f64 beta 2)))
(.f64 (.f64 (.f64 -4 (+.f64 beta 2)) (/.f64 (.f64 beta 3) (+.f64 beta 2))) (/.f64 -1/4 (*.f64 -4 (+.f64 beta 2))))
(.f64 (.f64 (.f64 -4 (+.f64 beta 2)) (.f64 (.f64 beta 6) -1/4)) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (.f64 -4 (+.f64 beta 2))))
(.f64 (.f64 (.f64 -4 (+.f64 beta 2)) (/.f64 (.f64 beta 6) (+.f64 beta 2))) (/.f64 -1/8 (*.f64 -4 (+.f64 beta 2))))
(.f64 (.f64 (.f64 -4 (+.f64 beta 2)) (/.f64 (.f64 (.f64 beta 6) -1/4) (+.f64 beta 2))) (/.f64 1/2 (.f64 -4 (+.f64 beta 2))))
(.f64 (.f64 (.f64 -4 (+.f64 beta 2)) (.f64 (.f64 beta 6) -1/2)) (/.f64 (/.f64 1/4 (+.f64 beta 2)) (.f64 -4 (+.f64 beta 2))))
(pow.f64 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))) 1)
(+.f64 (.f64 beta (/.f64 1/4 (+.f64 beta 2))) (-.f64 1 (.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))))
(+.f64 1 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (*.f64 beta 6) -1/8)) (+.f64 beta 2)))
(+.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) 0)
(+.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (.f64 beta 1/4)) (+.f64 beta 2))) (-.f64 (.f64 beta (/.f64 1/4 (+.f64 beta 2))) (*.f64 beta (/.f64 1/4 (+.f64 beta 2)))))
(+.f64 0 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))))
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2)))))
(+.f64 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (*.f64 beta 6) -1/8)) (+.f64 beta 2)) 1)
(+.f64 (-.f64 1 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))) (*.f64 beta (/.f64 1/4 (+.f64 beta 2))))
(+.f64 (/.f64 (/.f64 beta 8) (+.f64 beta 2)) (+.f64 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (*.f64 beta 6) -1/4)) (+.f64 beta (+.f64 beta 4))) 1))
(+.f64 1/2 (/.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2))) 2))
(+.f64 (neg.f64 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))) (+.f64 (*.f64 beta (/.f64 1/4 (+.f64 beta 2))) 1))
(+.f64 (neg.f64 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))) (+.f64 (+.f64 (*.f64 beta (/.f64 1/4 (+.f64 beta 2))) 1) 0))
(+.f64 (/.f64 (-.f64 (.f64 beta 1/4) (/.f64 (.f64 beta 6) -16)) (+.f64 beta 2)) (neg.f64 (+.f64 -1 (/.f64 (/.f64 (*.f64 beta 6) -16) (+.f64 beta 2)))))
(+.f64 (/.f64 (neg.f64 (.f64 beta 6)) (.f64 (+.f64 beta 2) -16)) (+.f64 (/.f64 (-.f64 (.f64 beta 1/4) (/.f64 (.f64 beta 6) -16)) (+.f64 beta 2)) 1))
(+.f64 (+.f64 (.f64 beta (/.f64 1/4 (+.f64 beta 2))) 1) (neg.f64 (.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) 4) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) 4))
(+.f64 (/.f64 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (.f64 beta 6) -1/8)) (+.f64 beta 2)) 2) (+.f64 (/.f64 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (.f64 beta 6) -1/8)) (+.f64 beta 2)) 2) 1))
(+.f64 (/.f64 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (.f64 beta 6) -1/8)) (+.f64 beta 2)) 2) (-.f64 (/.f64 (/.f64 beta 8) (+.f64 beta 2)) (+.f64 -1 (/.f64 (/.f64 (.f64 beta 6) -16) (+.f64 beta 2)))))
(+.f64 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (*.f64 beta 6) -1/4)) (+.f64 beta (+.f64 beta 4))) (+.f64 (/.f64 (/.f64 beta 8) (+.f64 beta 2)) 1))
(+.f64 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (*.f64 beta 6) -1/4)) (+.f64 beta (+.f64 beta 4))) (+.f64 (+.f64 (/.f64 (/.f64 beta 8) (+.f64 beta 2)) 1) 0))
(+.f64 (+.f64 (/.f64 (/.f64 beta 8) (+.f64 beta 2)) 1) (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (*.f64 beta 6) -1/4)) (+.f64 beta (+.f64 beta 4))))
(+.f64 (+.f64 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (*.f64 beta 6) -1/4)) (+.f64 beta (+.f64 beta 4))) 1) (/.f64 (/.f64 beta 8) (+.f64 beta 2)))
(+.f64 (+.f64 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta (+.f64 beta 4))) 1) (neg.f64 (/.f64 (neg.f64 beta) (.f64 (+.f64 beta 2) 8))))
(+.f64 (-.f64 1 (/.f64 (/.f64 (.f64 beta 6) -16) (+.f64 beta 2))) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 beta 6) -16) (*.f64 beta 1/4)) (+.f64 beta 2))))
(+.f64 (-.f64 (.f64 beta (/.f64 1/4 (+.f64 beta 2))) (+.f64 (/.f64 (/.f64 (.f64 beta 6) -16) (+.f64 beta 2)) -1/2)) (neg.f64 (+.f64 (/.f64 (/.f64 (*.f64 beta 6) -16) (+.f64 beta 2)) -1/2)))
(+.f64 (-.f64 1 (neg.f64 (.f64 beta (/.f64 1/4 (+.f64 beta 2))))) (neg.f64 (.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))))
(+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 (.f64 beta 6) -16) (.f64 beta 1/4)) (+.f64 beta 2))) (/.f64 (neg.f64 (.f64 beta 6)) (.f64 (+.f64 beta 2) -16)))
(+.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (.f64 beta 1/4)) (+.f64 beta (+.f64 beta 4)))) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (.f64 beta 1/4)) (+.f64 beta (+.f64 beta 4)))))
(+.f64 (-.f64 (.f64 (/.f64 beta (+.f64 beta 2)) 1/2) (+.f64 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))) -1)) (neg.f64 (.f64 beta (/.f64 1/4 (+.f64 beta 2)))))
(+.f64 (/.f64 (-.f64 1 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))) 2) (/.f64 (+.f64 (-.f64 1 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))) (*.f64 (/.f64 beta (+.f64 beta 2)) 1/2)) 2))
(+.f64 (-.f64 -1 (+.f64 -1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2)))) 1)
(.f64 1 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (.f64 beta 1/4)) (+.f64 beta 2))))
(.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (.f64 beta 1/4)) (+.f64 beta 2))) 1)
(.f64 (+.f64 -1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (.f64 beta 1/4)) (+.f64 beta 2))) -1)
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) 1/2)
(.f64 1/2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2))
(.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) 1/4)
(/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) 1)
(/.f64 (+.f64 -1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) -1)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) 2)
(/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2))) 8)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (.f64 2 (-.f64 (/.f64 (.f64 (*.f64 beta 6) -1/4) (+.f64 beta 2)) 2))) 4)
(/.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) (+.f64 beta 2)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (.f64 beta 1/4)) (+.f64 beta 2))) (.f64 (+.f64 beta 2) 4)) (/.f64 1/4 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (.f64 beta 1/4)) (+.f64 beta 2))) (.f64 -4 (+.f64 beta 2))) (/.f64 -1/4 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (.f64 beta 1/4)) (+.f64 beta 2))) (.f64 (+.f64 beta 2) 8)) (/.f64 1/8 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) (+.f64 beta (+.f64 beta 4))) (/.f64 1/2 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (.f64 beta 1/4)) (+.f64 beta 2))) (.f64 (+.f64 beta 2) -8)) (/.f64 -1/8 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (+.f64 beta 2)) (/.f64 2 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (*.f64 (+.f64 beta 2) 4)) (/.f64 1/2 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (*.f64 -4 (+.f64 beta 2))) (/.f64 -1/2 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (*.f64 (+.f64 beta 2) 8)) (/.f64 1/4 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (+.f64 beta (+.f64 beta 4))) (/.f64 1 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (*.f64 (+.f64 beta 2) -8)) (/.f64 -1/4 (+.f64 beta 2)))
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (+.f64 beta 2)) (/.f64 4 (+.f64 beta 2)))
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (.f64 (+.f64 beta 2) 4)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (.f64 -4 (+.f64 beta 2))) (/.f64 4 (*.f64 -4 (+.f64 beta 2))))
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (.f64 (+.f64 beta 2) 8)) (/.f64 1/2 (+.f64 beta 2)))
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (+.f64 beta (+.f64 beta 4))) (/.f64 2 (+.f64 beta 2)))
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (.f64 (+.f64 beta 2) -8)) (/.f64 -1/2 (+.f64 beta 2)))
(pow.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) 1)
(neg.f64 (+.f64 -1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))))

Outputs
(*.f64 -3/8 beta)
(+.f64 (.f64 3/16 (pow.f64 beta 2)) (.f64 -3/8 beta))
(+.f64 (.f64 -3/8 beta) (.f64 3/16 (pow.f64 beta 2)))
(+.f64 (.f64 3/16 (pow.f64 beta 2)) (+.f64 (.f64 -3/32 (pow.f64 beta 3)) (*.f64 -3/8 beta)))
(+.f64 (.f64 -3/8 beta) (+.f64 (.f64 -3/32 (pow.f64 beta 3)) (*.f64 3/16 (pow.f64 beta 2))))
(+.f64 (.f64 -3/8 beta) (+.f64 (.f64 3/16 (pow.f64 beta 2)) (*.f64 -3/32 (pow.f64 beta 3))))
(+.f64 (.f64 3/16 (pow.f64 beta 2)) (+.f64 (.f64 -3/32 (pow.f64 beta 3)) (+.f64 (.f64 -3/8 beta) (.f64 3/64 (pow.f64 beta 4)))))
(+.f64 (+.f64 (.f64 -3/8 beta) (.f64 3/64 (pow.f64 beta 4))) (+.f64 (.f64 -3/32 (pow.f64 beta 3)) (.f64 3/16 (pow.f64 beta 2))))
(+.f64 (.f64 3/16 (pow.f64 beta 2)) (+.f64 (.f64 -3/8 beta) (+.f64 (.f64 3/64 (pow.f64 beta 4)) (.f64 -3/32 (pow.f64 beta 3)))))
(+.f64 (.f64 -3/8 beta) (+.f64 (.f64 3/64 (pow.f64 beta 4)) (+.f64 (.f64 3/16 (pow.f64 beta 2)) (.f64 -3/32 (pow.f64 beta 3)))))
-3/4
(-.f64 (*.f64 3/2 (/.f64 1 beta)) 3/4)
(-.f64 (*.f64 1 (/.f64 3/2 beta)) 3/4)
(-.f64 (/.f64 3/2 beta) 3/4)
(-.f64 (.f64 3/2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) 3/4))
(+.f64 (-.f64 (.f64 1 (/.f64 3/2 beta)) (.f64 1 (/.f64 3 (pow.f64 beta 2)))) -3/4)
(+.f64 -3/4 (-.f64 (.f64 3/2 (/.f64 1 beta)) (.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 -3/4 (-.f64 (/.f64 3/2 beta) (/.f64 3 (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 beta 3))) (.f64 3/2 (/.f64 1 beta))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) 3/4))
(+.f64 (-.f64 (+.f64 (.f64 1 (/.f64 3/2 beta)) (.f64 1 (/.f64 6 (pow.f64 beta 3)))) (*.f64 1 (/.f64 3 (pow.f64 beta 2)))) -3/4)
(-.f64 (+.f64 (.f64 3/2 (/.f64 1 beta)) (.f64 1 (/.f64 6 (pow.f64 beta 3)))) (+.f64 3/4 (*.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (-.f64 (+.f64 (/.f64 3/2 beta) (/.f64 6 (pow.f64 beta 3))) (/.f64 3 (pow.f64 beta 2))) -3/4)
-3/4
(-.f64 (*.f64 3/2 (/.f64 1 beta)) 3/4)
(-.f64 (*.f64 1 (/.f64 3/2 beta)) 3/4)
(-.f64 (/.f64 3/2 beta) 3/4)
(-.f64 (.f64 3/2 (/.f64 1 beta)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) 3/4))
(+.f64 (-.f64 (.f64 1 (/.f64 3/2 beta)) (.f64 1 (/.f64 3 (pow.f64 beta 2)))) -3/4)
(+.f64 -3/4 (-.f64 (.f64 3/2 (/.f64 1 beta)) (.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 -3/4 (-.f64 (/.f64 3/2 beta) (/.f64 3 (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 beta 3))) (.f64 3/2 (/.f64 1 beta))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) 3/4))
(+.f64 (-.f64 (+.f64 (.f64 1 (/.f64 3/2 beta)) (.f64 1 (/.f64 6 (pow.f64 beta 3)))) (*.f64 1 (/.f64 3 (pow.f64 beta 2)))) -3/4)
(-.f64 (+.f64 (.f64 3/2 (/.f64 1 beta)) (.f64 1 (/.f64 6 (pow.f64 beta 3)))) (+.f64 3/4 (*.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (-.f64 (+.f64 (/.f64 3/2 beta) (/.f64 6 (pow.f64 beta 3))) (/.f64 3 (pow.f64 beta 2))) -3/4)
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (*.f64 beta 1/2))
(+.f64 1 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2))))
(+.f64 1 (+.f64 (.f64 beta 1/2) (.f64 (pow.f64 beta 2) -1/4)))
(+.f64 (+.f64 1 (.f64 beta 1/2)) (.f64 (pow.f64 beta 2) -1/4))
(+.f64 1 (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 beta 3) 1/8) (+.f64 (.f64 beta 1/2) (*.f64 (pow.f64 beta 2) -1/4))))
(+.f64 1 (+.f64 (.f64 beta 1/2) (+.f64 (.f64 (pow.f64 beta 2) -1/4) (*.f64 (pow.f64 beta 3) 1/8))))
(+.f64 (+.f64 1 (.f64 beta 1/2)) (+.f64 (.f64 (pow.f64 beta 2) -1/4) (*.f64 (pow.f64 beta 3) 1/8)))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 1 (/.f64 4 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 1 beta)) -2))
(-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) -2))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (.f64 1 (/.f64 4 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 1 (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (+.f64 2 (.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 2 beta) -2) (/.f64 8 (pow.f64 beta 3))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 1 (/.f64 4 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 1 beta)) -2))
(-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) -2))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (.f64 1 (/.f64 4 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 1 (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (+.f64 2 (.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 2 beta) -2) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))) 0)
(.f64 3 (.f64 beta (/.f64 -1/4 (+.f64 beta 2))))
(.f64 -1/4 (/.f64 (.f64 beta 3) (+.f64 beta 2)))
(/.f64 (*.f64 beta -3/4) (+.f64 beta 2))
(+.f64 0 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))))
(.f64 3 (.f64 beta (/.f64 -1/4 (+.f64 beta 2))))
(.f64 -1/4 (/.f64 (.f64 beta 3) (+.f64 beta 2)))
(/.f64 (*.f64 beta -3/4) (+.f64 beta 2))
(+.f64 (/.f64 (/.f64 (.f64 beta 6) -16) (+.f64 beta 2)) (/.f64 (/.f64 (.f64 beta 6) -16) (+.f64 beta 2)))
(.f64 3 (.f64 beta (/.f64 -1/4 (+.f64 beta 2))))
(.f64 -1/4 (/.f64 (.f64 beta 3) (+.f64 beta 2)))
(/.f64 (*.f64 beta -3/4) (+.f64 beta 2))
(+.f64 (/.f64 (.f64 (.f64 beta 6) -1/4) (.f64 (+.f64 beta 2) 8)) (+.f64 (/.f64 (.f64 (.f64 beta 6) -1/4) (.f64 (+.f64 beta 2) 8)) (/.f64 (/.f64 (*.f64 beta 6) -16) (+.f64 beta 2))))
(+.f64 (/.f64 (.f64 beta 6) (.f64 (+.f64 beta 2) -16)) (+.f64 (/.f64 (.f64 -1/4 (.f64 beta 6)) (.f64 8 (+.f64 beta 2))) (/.f64 (.f64 -1/4 (.f64 beta 6)) (.f64 8 (+.f64 beta 2)))))
(+.f64 (/.f64 (.f64 beta 6) (.f64 (+.f64 beta 2) -16)) (/.f64 (/.f64 (*.f64 beta -3) (+.f64 beta 2)) 8))
(+.f64 (/.f64 (.f64 (.f64 beta 6) -1/4) (.f64 (+.f64 beta 2) 8)) (/.f64 (/.f64 (.f64 beta 9) -8) (+.f64 beta (+.f64 beta 4))))
(+.f64 (/.f64 (.f64 -1/4 (.f64 beta 6)) (.f64 8 (+.f64 beta 2))) (/.f64 (/.f64 (.f64 beta 9) -8) (+.f64 beta (+.f64 beta 4))))
(+.f64 (/.f64 (/.f64 (.f64 beta -3/2) 8) (+.f64 beta 2)) (/.f64 (/.f64 (.f64 beta 9) (+.f64 beta (+.f64 beta 4))) -8))
(+.f64 (/.f64 (/.f64 (.f64 beta -3/2) (+.f64 beta 2)) 8) (/.f64 (.f64 beta 9) (*.f64 (+.f64 beta 2) -16)))
(+.f64 (/.f64 (.f64 (.f64 beta 6) -1/4) (.f64 (+.f64 beta 2) 8)) (/.f64 (/.f64 (/.f64 (.f64 beta 9) -8) (+.f64 beta 2)) 2))
(+.f64 (/.f64 (.f64 -1/4 (.f64 beta 6)) (.f64 8 (+.f64 beta 2))) (/.f64 (/.f64 (.f64 beta 9) -8) (+.f64 beta (+.f64 beta 4))))
(+.f64 (/.f64 (/.f64 (.f64 beta -3/2) 8) (+.f64 beta 2)) (/.f64 (/.f64 (.f64 beta 9) (+.f64 beta (+.f64 beta 4))) -8))
(+.f64 (/.f64 (/.f64 (.f64 beta -3/2) (+.f64 beta 2)) 8) (/.f64 (.f64 beta 9) (*.f64 (+.f64 beta 2) -16)))
(+.f64 (/.f64 (.f64 (.f64 beta 6) -1/4) (.f64 (+.f64 beta 2) 8)) (/.f64 (.f64 -1/4 (.f64 beta 9)) (.f64 (+.f64 beta 2) 4)))
(+.f64 (/.f64 (.f64 -1/4 (.f64 beta 6)) (.f64 8 (+.f64 beta 2))) (/.f64 (.f64 -1/4 (.f64 beta 9)) (.f64 4 (+.f64 beta 2))))
(+.f64 (/.f64 (/.f64 (.f64 beta -3/2) 8) (+.f64 beta 2)) (/.f64 (.f64 beta -9/4) (*.f64 4 (+.f64 beta 2))))
(+.f64 (/.f64 (/.f64 (.f64 beta -3/2) (+.f64 beta 2)) 8) (/.f64 (/.f64 (.f64 beta -9/4) (+.f64 beta 2)) 4))
(+.f64 (/.f64 (.f64 beta 3) (.f64 (+.f64 beta 2) -16)) (/.f64 (.f64 beta 9) (.f64 (+.f64 beta 2) -16)))
(.f64 3 (.f64 beta (/.f64 -1/4 (+.f64 beta 2))))
(.f64 -1/4 (/.f64 (.f64 beta 3) (+.f64 beta 2)))
(/.f64 (*.f64 beta -3/4) (+.f64 beta 2))
(-.f64 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2))) 0)
(.f64 3 (.f64 beta (/.f64 -1/4 (+.f64 beta 2))))
(.f64 -1/4 (/.f64 (.f64 beta 3) (+.f64 beta 2)))
(/.f64 (*.f64 beta -3/4) (+.f64 beta 2))
(-.f64 0 (neg.f64 (.f64 (.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))))
(.f64 3 (.f64 beta (/.f64 -1/4 (+.f64 beta 2))))
(.f64 -1/4 (/.f64 (.f64 beta 3) (+.f64 beta 2)))
(/.f64 (*.f64 beta -3/4) (+.f64 beta 2))
(-.f64 (/.f64 (/.f64 (.f64 beta 6) -16) (+.f64 beta 2)) (/.f64 (neg.f64 (.f64 beta 6)) (*.f64 (+.f64 beta 2) -16)))
(.f64 3 (.f64 beta (/.f64 -1/4 (+.f64 beta 2))))
(.f64 -1/4 (/.f64 (.f64 beta 3) (+.f64 beta 2)))
(/.f64 (*.f64 beta -3/4) (+.f64 beta 2))
(-.f64 (/.f64 (/.f64 (.f64 beta 6) -16) (+.f64 beta 2)) (/.f64 (neg.f64 (.f64 (*.f64 beta 3) (/.f64 -1/4 (+.f64 beta 2)))) 2))
(.f64 3 (.f64 beta (/.f64 -1/4 (+.f64 beta 2))))
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(.f64 1/2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (*.f64 beta 6))) (+.f64 beta 2)) -2))
(.f64 1/2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 beta -3/2)) (+.f64 beta 2)) -2))
(.f64 1/2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2))
(.f64 1/2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (*.f64 beta 6))) (+.f64 beta 2)) -2))
(.f64 1/2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 beta -3/2)) (+.f64 beta 2)) -2))
(.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) 1/4)
(.f64 1/2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (*.f64 beta 6))) (+.f64 beta 2)) -2))
(.f64 1/2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 beta -3/2)) (+.f64 beta 2)) -2))
(/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (*.f64 beta 6) -1/8)) (+.f64 beta 2)))
(+.f64 1 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 beta -3/4)) (+.f64 beta 2)))
(+.f64 1 (/.f64 (*.f64 beta 1) (+.f64 beta 2)))
(/.f64 (+.f64 -1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) -1)
(+.f64 1 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (*.f64 beta 6) -1/8)) (+.f64 beta 2)))
(+.f64 1 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 beta -3/4)) (+.f64 beta 2)))
(+.f64 1 (/.f64 (*.f64 beta 1) (+.f64 beta 2)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) 2)
(+.f64 1/2 (+.f64 1/2 (/.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (.f64 beta 6))) (+.f64 beta 2)) 2)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) (+.f64 beta 2)) -2) 2)
(+.f64 1 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) (+.f64 beta (+.f64 beta 4))))
(/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) 4)
(/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (*.f64 beta 6))) (+.f64 beta 2)) -2)) 4)
(/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 beta -3/2)) (+.f64 beta 2)) -2)) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2))) 8)
(/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (*.f64 beta 6))) (+.f64 beta 2)) -2)) 4)
(/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 beta -3/2)) (+.f64 beta 2)) -2)) 4)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (.f64 2 (-.f64 (/.f64 (.f64 (*.f64 beta 6) -1/4) (+.f64 beta 2)) 2))) 4)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (.f64 2 (-.f64 (/.f64 (.f64 -1/4 (*.f64 beta 6)) (+.f64 beta 2)) 2))) 4)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (.f64 2 (-.f64 (/.f64 (.f64 beta -3/2) (+.f64 beta 2)) 2))) 4)
(/.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) (+.f64 beta 2)) (/.f64 1 (+.f64 beta 2)))
(-.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) (/.f64 0 (+.f64 beta 2)))
(-.f64 1 (+.f64 (/.f64 0 (+.f64 beta 2)) (/.f64 (-.f64 (.f64 beta -3/4) (.f64 beta 1/4)) (+.f64 beta 2))))
(+.f64 (-.f64 1 (/.f64 0 (+.f64 beta 2))) (/.f64 (*.f64 beta 1) (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (.f64 beta 1/4)) (+.f64 beta 2))) (.f64 (+.f64 beta 2) 4)) (/.f64 1/4 (+.f64 beta 2)))
(-.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) (/.f64 0 (+.f64 beta 2)))
(-.f64 1 (+.f64 (/.f64 0 (+.f64 beta 2)) (/.f64 (-.f64 (.f64 beta -3/4) (.f64 beta 1/4)) (+.f64 beta 2))))
(+.f64 (-.f64 1 (/.f64 0 (+.f64 beta 2))) (/.f64 (*.f64 beta 1) (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (.f64 beta 1/4)) (+.f64 beta 2))) (.f64 -4 (+.f64 beta 2))) (/.f64 -1/4 (+.f64 beta 2)))
(-.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) (/.f64 0 (+.f64 beta 2)))
(-.f64 1 (+.f64 (/.f64 0 (+.f64 beta 2)) (/.f64 (-.f64 (.f64 beta -3/4) (.f64 beta 1/4)) (+.f64 beta 2))))
(+.f64 (-.f64 1 (/.f64 0 (+.f64 beta 2))) (/.f64 (*.f64 beta 1) (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (.f64 beta 1/4)) (+.f64 beta 2))) (.f64 (+.f64 beta 2) 8)) (/.f64 1/8 (+.f64 beta 2)))
(-.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) (/.f64 0 (+.f64 beta 2)))
(-.f64 1 (+.f64 (/.f64 0 (+.f64 beta 2)) (/.f64 (-.f64 (.f64 beta -3/4) (.f64 beta 1/4)) (+.f64 beta 2))))
(+.f64 (-.f64 1 (/.f64 0 (+.f64 beta 2))) (/.f64 (*.f64 beta 1) (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) (+.f64 beta (+.f64 beta 4))) (/.f64 1/2 (+.f64 beta 2)))
(-.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) (/.f64 0 (+.f64 beta 2)))
(-.f64 1 (+.f64 (/.f64 0 (+.f64 beta 2)) (/.f64 (-.f64 (.f64 beta -3/4) (.f64 beta 1/4)) (+.f64 beta 2))))
(+.f64 (-.f64 1 (/.f64 0 (+.f64 beta 2))) (/.f64 (*.f64 beta 1) (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (.f64 beta 1/4)) (+.f64 beta 2))) (.f64 (+.f64 beta 2) -8)) (/.f64 -1/8 (+.f64 beta 2)))
(-.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) (/.f64 0 (+.f64 beta 2)))
(-.f64 1 (+.f64 (/.f64 0 (+.f64 beta 2)) (/.f64 (-.f64 (.f64 beta -3/4) (.f64 beta 1/4)) (+.f64 beta 2))))
(+.f64 (-.f64 1 (/.f64 0 (+.f64 beta 2))) (/.f64 (*.f64 beta 1) (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (+.f64 beta 2)) (/.f64 2 (+.f64 beta 2)))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (.f64 beta 6))) (+.f64 beta 2)) 2) -1) (/.f64 0 (+.f64 beta 2)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) (+.f64 beta 2)) -2) 2) (/.f64 0 (+.f64 beta 2)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) 2) 0) (+.f64 beta 2)) 1)
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (*.f64 (+.f64 beta 2) 4)) (/.f64 1/2 (+.f64 beta 2)))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (.f64 beta 6))) (+.f64 beta 2)) 2) -1) (/.f64 0 (+.f64 beta 2)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) (+.f64 beta 2)) -2) 2) (/.f64 0 (+.f64 beta 2)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) 2) 0) (+.f64 beta 2)) 1)
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (*.f64 -4 (+.f64 beta 2))) (/.f64 -1/2 (+.f64 beta 2)))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (.f64 beta 6))) (+.f64 beta 2)) 2) -1) (/.f64 0 (+.f64 beta 2)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) (+.f64 beta 2)) -2) 2) (/.f64 0 (+.f64 beta 2)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) 2) 0) (+.f64 beta 2)) 1)
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (*.f64 (+.f64 beta 2) 8)) (/.f64 1/4 (+.f64 beta 2)))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (.f64 beta 6))) (+.f64 beta 2)) 2) -1) (/.f64 0 (+.f64 beta 2)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) (+.f64 beta 2)) -2) 2) (/.f64 0 (+.f64 beta 2)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) 2) 0) (+.f64 beta 2)) 1)
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (+.f64 beta (+.f64 beta 4))) (/.f64 1 (+.f64 beta 2)))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (.f64 beta 6))) (+.f64 beta 2)) 2) -1) (/.f64 0 (+.f64 beta 2)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) (+.f64 beta 2)) -2) 2) (/.f64 0 (+.f64 beta 2)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) 2) 0) (+.f64 beta 2)) 1)
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2) (*.f64 (+.f64 beta 2) -8)) (/.f64 -1/4 (+.f64 beta 2)))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (.f64 beta 6))) (+.f64 beta 2)) 2) -1) (/.f64 0 (+.f64 beta 2)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) (+.f64 beta 2)) -2) 2) (/.f64 0 (+.f64 beta 2)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) 2) 0) (+.f64 beta 2)) 1)
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (+.f64 beta 2)) (/.f64 4 (+.f64 beta 2)))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (.f64 beta 6))) (+.f64 beta 2)) 2) -1) (/.f64 0 (+.f64 beta 2)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) (+.f64 beta 2)) -2) 2) (/.f64 0 (+.f64 beta 2)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) 2) 0) (+.f64 beta 2)) 1)
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (.f64 (+.f64 beta 2) 4)) (/.f64 1 (+.f64 beta 2)))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (.f64 beta 6))) (+.f64 beta 2)) 2) -1) (/.f64 0 (+.f64 beta 2)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) (+.f64 beta 2)) -2) 2) (/.f64 0 (+.f64 beta 2)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) 2) 0) (+.f64 beta 2)) 1)
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (.f64 -4 (+.f64 beta 2))) (/.f64 4 (*.f64 -4 (+.f64 beta 2))))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (.f64 beta 6))) (+.f64 beta 2)) 2) -1) (/.f64 0 (+.f64 beta 2)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) (+.f64 beta 2)) -2) 2) (/.f64 0 (+.f64 beta 2)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) 2) 0) (+.f64 beta 2)) 1)
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (.f64 (+.f64 beta 2) 8)) (/.f64 1/2 (+.f64 beta 2)))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (.f64 beta 6))) (+.f64 beta 2)) 2) -1) (/.f64 0 (+.f64 beta 2)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) (+.f64 beta 2)) -2) 2) (/.f64 0 (+.f64 beta 2)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) 2) 0) (+.f64 beta 2)) 1)
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (*.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (+.f64 beta (+.f64 beta 4))) (/.f64 2 (+.f64 beta 2)))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (.f64 beta 6))) (+.f64 beta 2)) 2) -1) (/.f64 0 (+.f64 beta 2)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) (+.f64 beta 2)) -2) 2) (/.f64 0 (+.f64 beta 2)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) 2) 0) (+.f64 beta 2)) 1)
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 (.f64 beta 6) -1/4)) (+.f64 beta 2)) -2)) (.f64 (+.f64 beta 2) -8)) (/.f64 -1/2 (+.f64 beta 2)))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 beta 2) (.f64 -1/4 (.f64 beta 6))) (+.f64 beta 2)) 2) -1) (/.f64 0 (+.f64 beta 2)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) (+.f64 beta 2)) -2) 2) (/.f64 0 (+.f64 beta 2)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 beta 2) (*.f64 beta -3/2)) 2) 0) (+.f64 beta 2)) 1)
(pow.f64 (-.f64 1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (*.f64 beta 6) -1/8)) (+.f64 beta 2)))
(+.f64 1 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 beta -3/4)) (+.f64 beta 2)))
(+.f64 1 (/.f64 (*.f64 beta 1) (+.f64 beta 2)))
(neg.f64 (+.f64 -1 (/.f64 (-.f64 (.f64 (.f64 beta 6) -1/8) (*.f64 beta 1/4)) (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 (*.f64 beta 6) -1/8)) (+.f64 beta 2)))
(+.f64 1 (/.f64 (-.f64 (.f64 beta 1/4) (.f64 beta -3/4)) (+.f64 beta 2)))
(+.f64 1 (/.f64 (*.f64 beta 1) (+.f64 beta 2)))

localize4.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize7.0ms (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
0.0ms	beta	@	inf	(*.f64 2 (/.f64 beta alpha))
0.0ms	beta	@	0	(*.f64 2 (/.f64 beta alpha))
0.0ms	alpha	@	0	(*.f64 2 (/.f64 beta alpha))
0.0ms	alpha	@	inf	(*.f64 2 (/.f64 beta alpha))
0.0ms	beta	@	-inf	(*.f64 2 (/.f64 beta alpha))

rewrite74.0ms (0.8%)

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)))))

simplify68.0ms (0.7%)

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))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`rational_best-simplify-49`
580×	`rational_best-simplify-65`
568×	`rational_best-simplify-53`
558×	`rational_best-simplify-67`
518×	`rational_best-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	45	13
2	115	13
3	309	13
4	1204	13

Stop Event

1×	node limit

Counts

1 → 142

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (/.f64 -2 beta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 2 (/.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 1 (/.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 1 (/.f64 -2 beta)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (+.f64 beta -2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (+.f64 2 (/.f64 -4 beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -1 beta) (+.f64 1 (/.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 1 (+.f64 2 (+.f64 (/.f64 2 beta) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 (/.f64 2 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 -1/2 beta)) (+.f64 (+.f64 1/2 (/.f64 -1/2 beta)) (+.f64 1 (/.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 -1/2 beta)) (/.f64 (*.f64 (+.f64 2 (/.f64 -2 beta)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 -1/2 beta)) (/.f64 (/.f64 (*.f64 (+.f64 2 (/.f64 -2 beta)) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 4 (/.f64 -4 beta)) (+.f64 (/.f64 2 beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 1 (/.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 2 (/.f64 -2 beta)) 3) 2) (+.f64 -1 (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 2 (/.f64 -2 beta)) 3) 2) (-.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 2 (/.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (/.f64 -1 beta)) (/.f64 -1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 beta) (+.f64 2 (/.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 beta) (+.f64 (/.f64 -1 beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 beta) (/.f64 (+.f64 beta (+.f64 beta -1)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1 beta) 2) (/.f64 -1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 2 (/.f64 -2 beta))) (/.f64 (*.f64 (+.f64 2 (/.f64 -2 beta)) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 2 (/.f64 -2 beta)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 2 (/.f64 -2 beta)) (/.f64 -2 beta)) (neg.f64 (+.f64 2 (+.f64 (/.f64 2 beta) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 4 (/.f64 -2 beta)) 4) (/.f64 (+.f64 (/.f64 -2 beta) (+.f64 4 (/.f64 -4 beta))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1 (/.f64 -1 beta)) (/.f64 -2 beta)) (-.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 2 (+.f64 (/.f64 2 beta) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1 (/.f64 -1 beta)) 2) (-.f64 (+.f64 1 (/.f64 -1 beta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (/.f64 2 beta) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 2 beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 -1 (/.f64 1 beta))) (-.f64 1 (+.f64 -1 (/.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 2 (+.f64 (/.f64 2 beta) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 1 (/.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 beta) (+.f64 beta -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 beta) (/.f64 (+.f64 (/.f64 beta 2) -1/2) 1/2))))) (#(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) (*.f64 2 (+.f64 (/.f64 beta 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 beta) (*.f64 -1 (-.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (/.f64 -2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (/.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 2 beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta -1) (/.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (+.f64 1/2 (/.f64 -1/2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 1/2 beta) (+.f64 beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 1 beta) (+.f64 (/.f64 beta 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 beta) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 -1/2 beta)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 beta) (-.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 beta) (*.f64 -2 (+.f64 (/.f64 beta 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (/.f64 -4 beta)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 beta) (+.f64 (/.f64 beta 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 beta) (*.f64 1/2 (+.f64 beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 beta) (*.f64 (+.f64 beta -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 beta) (/.f64 (-.f64 1 beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (-.f64 1/4 (/.f64 1/4 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 1/4 beta) (+.f64 beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (+.f64 1/2 (/.f64 -1/2 beta)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 1/2 beta) (+.f64 (/.f64 beta 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 4 (/.f64 -4 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta 2) -1/2) (/.f64 4 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (/.f64 1/4 beta)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 beta) (*.f64 (+.f64 beta -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 beta) (/.f64 (+.f64 beta (+.f64 beta -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 beta) (*.f64 8 (+.f64 (/.f64 beta 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 beta) (*.f64 (+.f64 beta -1) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 beta) (*.f64 16 (+.f64 (/.f64 beta 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (/.f64 -2 beta)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 beta) (+.f64 (/.f64 beta 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 beta) (*.f64 (+.f64 (/.f64 beta 2) -1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 beta) (*.f64 1/2 (+.f64 (/.f64 beta 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 beta) (/.f64 (-.f64 1 beta) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 (+.f64 beta -1) (*.f64 beta 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (*.f64 (-.f64 1/4 (/.f64 1/4 beta)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (*.f64 (/.f64 1/4 beta) (+.f64 (/.f64 beta 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 (-.f64 1 beta) (neg.f64 (*.f64 beta 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 (+.f64 beta -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (*.f64 4 (+.f64 (/.f64 beta 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 (-.f64 1 beta) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1 beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 beta) (/.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 1 beta)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 -1 (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (+.f64 (/.f64 1/2 beta) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 beta) (+.f64 1/2 (/.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (+.f64 (/.f64 1/4 beta) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8 beta) (+.f64 1/4 (/.f64 beta -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -16 (/.f64 (-.f64 1 beta) (*.f64 beta 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta -1) 8) (/.f64 1/4 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta 4) -1/4) (/.f64 8 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta -1) (*.f64 beta 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 beta) -1/2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 beta 8)) (*.f64 16 (+.f64 beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 beta) (/.f64 (-.f64 1 beta) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (/.f64 -2 beta)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 16 beta) (/.f64 (+.f64 beta -1) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 16 beta) (/.f64 (+.f64 (/.f64 beta 2) -1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 16 beta) (*.f64 1/4 (+.f64 (/.f64 beta 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 32 (/.f64 (+.f64 beta -1) (*.f64 2 (*.f64 beta 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 32 (/.f64 (+.f64 (/.f64 beta 2) -1/2) (*.f64 beta 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 32 (*.f64 (/.f64 1 (*.f64 beta 8)) (+.f64 (/.f64 beta 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 2 (/.f64 -2 beta)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta -1) 4) (/.f64 1/2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta -1) 4) (*.f64 1/2 (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta -1) (*.f64 beta beta)) (/.f64 2 (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 beta)) beta) (/.f64 4 (/.f64 1/2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 1 beta) (-.f64 1 beta)) (/.f64 -1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (/.f64 -2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta -1) (/.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 2 beta) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (/.f64 -1/2 beta)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4 (/.f64 -4 beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (+.f64 beta -2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (/.f64 -2 beta)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -1 beta)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 1 beta)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/2 beta) -1/2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (/.f64 -2 beta)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta -1) 4) (+.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 4 (/.f64 -4 beta))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 1 beta) (-.f64 1 beta)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1/2 beta) -1/2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) 1/2) (+.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 beta -1) 4) 1/2) (*.f64 beta 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 beta -1) 4) beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 beta (+.f64 beta -2))) (*.f64 beta 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 beta -1) 4) -2) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 2 (/.f64 -2 beta)) 8) (*.f64 (+.f64 2 (/.f64 -2 beta)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 beta -1) 4) (*.f64 (+.f64 beta -1) 4)) (*.f64 beta 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 1 beta) (-.f64 1 beta)) (+.f64 (-.f64 1 beta) (-.f64 1 beta))) (*.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (+.f64 beta -1) (*.f64 beta beta)) (/.f64 (+.f64 beta -1) (*.f64 beta beta))) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 beta -1) 4)) (*.f64 beta 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (+.f64 beta -1) 4)) (*.f64 beta 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 16 beta) (+.f64 beta (+.f64 beta -2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 8 beta) (*.f64 (+.f64 beta -1) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 beta -1) 4) (/.f64 8 beta)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 16 beta)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 -2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 2 beta) -2))))))

simplify190.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1378×	`rational_best-simplify-1`
1036×	`rational_best-simplify-108`
632×	`rational_best-simplify-64`
600×	`rational_best-simplify-3`
532×	`rational_best-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	303	3214
1	851	3186
2	2356	2362
3	6877	2352

Stop Event

1×	node limit

Counts

154 → 177

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite136.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`rational_best-simplify-83`
652×	`rational_best-simplify-41`
638×	`rational_best-simplify-48`
620×	`rational_best-simplify-57`
590×	`rational_best-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	43	13
2	100	13
3	265	13
4	1006	13
5	6415	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 2 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 2 alpha)) (/.f64 (/.f64 3 (+.f64 2 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 2 alpha)) (/.f64 (/.f64 6 (+.f64 2 alpha)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 2 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 2 alpha)) (neg.f64 (/.f64 1 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/2 (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (neg.f64 (/.f64 1/2 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3 (+.f64 2 alpha)) 2) (/.f64 (neg.f64 (/.f64 1 (+.f64 2 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 6 (+.f64 2 alpha)) 4) (/.f64 (/.f64 2 (-.f64 -2 alpha)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 2 (+.f64 2 alpha)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/2 (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 2 alpha)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1/4 (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 1/2 (/.f64 1/2 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 4 (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 2 alpha)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 2 alpha)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (+.f64 2 alpha)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 1/2 (*.f64 (+.f64 2 alpha) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (*.f64 1/2 (/.f64 1/4 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 8 (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 16 (+.f64 2 alpha)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 32 (/.f64 1 (*.f64 4 (*.f64 (+.f64 2 alpha) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 32 (/.f64 1/2 (*.f64 2 (*.f64 (+.f64 2 alpha) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (+.f64 2 alpha)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 (+.f64 2 alpha))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/4 (+.f64 2 alpha))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 16 (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 4 (*.f64 (+.f64 2 alpha) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 2 (*.f64 (+.f64 2 alpha) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 2 alpha)) 1)))))

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1302×	`rational_best-simplify-1`
964×	`rational_best-simplify-62`
832×	`rational_best-simplify-50`
772×	`rational_best-simplify-56`
750×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	999
1	246	999
2	530	891
3	1447	891
4	5182	891

Stop Event

1×	node limit

Counts

51 → 62

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

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

eval356.0ms (3.9%)

Compiler: Compiled 15092 to 12144 computations (19.5% saved)

prune191.0ms (2.1%)

Pruning

16 alts after pruning (3 fresh and 13 done)

	Pruned	Kept	Total
New	716	2	718
Fresh	0	1	1
Picked	0	1	1
Done	1	12	13
Total	717	16	733

Error

Counts

733 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.0b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	18.5b	(/.f64 (/.f64 2 (+.f64 alpha 2)) 2)
✓	48.5b	(/.f64 (/.f64 2 alpha) 2)
	17.2b	(/.f64 (-.f64 (/.f64 beta (.f64 4 (+.f64 beta 2))) (-.f64 (/.f64 (.f64 beta -3/4) (+.f64 beta 2)) 1)) 2)
✓	15.5b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)
✓	45.0b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	31.3b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	15.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	17.0b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	15.5b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 1) 2)
✓	34.1b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	43.0b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 alpha alpha) beta))) 2)
	45.0b	(/.f64 (*.f64 (/.f64 2 beta) (+.f64 beta -1)) 2)
✓	59.0b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	40.1b	(/.f64 2 2)
✓	31.7b	(/.f64 1 2)

Compiler

Compiled 183 to 148 computations (19.1% saved)

regimes96.0ms (1%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	beta
24.0ms	alpha
16.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
3.6b	2	`alpha`
2.9b	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 337 to 256 computations (24% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999027195	-0.9999999960084239

Compiler

Compiled 20 to 15 computations (25% saved)

regimes65.0ms (0.7%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	beta
18.0ms	alpha
12.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
3.6b	2	`alpha`
2.9b	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 200 to 151 computations (24.5% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
2.0ms	-0.9999999999027195	-0.9999999960084239

Compiler

Compiled 20 to 15 computations (25% saved)

regimes82.0ms (0.9%)

Counts

17 → 2

Calls

Call 1

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

31.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
21.0ms	beta
17.0ms	alpha
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
3.6b	2	`alpha`
2.9b	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 185 to 141 computations (23.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999027195	-0.9999999960084239

Compiler

Compiled 20 to 15 computations (25% saved)

regimes37.0ms (0.4%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	beta
16.0ms	alpha

Results

Error	Segments	Branch
4.3b	2	`alpha`
3.3b	2	`beta`

Compiler

Compiled 133 to 106 computations (20.3% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	3.756768082388027e-10	6.275042027579577e-8

Results

11.0ms	85×	body	256	valid
3.0ms	15×	body	1024	valid
2.0ms	10×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 174 to 148 computations (14.9% saved)

regimes30.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	alpha
12.0ms	beta

Results

Error	Segments	Branch
17.4b	3	`alpha`
3.7b	2	`beta`

Compiler

Compiled 61 to 51 computations (16.4% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.5557967657325196	109.42896939646481

Results

8.0ms	83×	body	256	valid
3.0ms	15×	body	1024	valid
2.0ms	10×	body	512	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 160 to 141 computations (11.9% saved)

regimes69.0ms (0.8%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

57.0ms	alpha
10.0ms	beta

Results

Error	Segments	Branch
18.3b	4	`alpha`
17.4b	2	`beta`

Compiler

Compiled 45 to 38 computations (15.6% saved)

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	0.5557967657325196	109.42896939646481

Results

11.0ms	22×	body	1024	valid
7.0ms	74×	body	256	valid
2.0ms	11×	body	512	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 160 to 141 computations (11.9% saved)

regimes37.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	alpha
8.0ms	beta

Results

Error	Segments	Branch
18.3b	4	`alpha`
17.4b	2	`beta`

Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	0.5557967657325196	109.42896939646481

Results

10.0ms	77×	body	256	valid
6.0ms	24×	body	1024	valid
1.0ms	4×	body	2048	valid
1.0ms	7×	body	512	valid

Compiler

Compiled 132 to 120 computations (9.1% saved)

regimes25.0ms (0.3%)

Accuracy

Total -45.0b remaining (-256.3%)

Threshold costs -45.0b (-256.3%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	alpha
8.0ms	beta

Results

Error	Segments	Branch
18.3b	4	`alpha`
17.6b	2	`beta`

Compiler

Compiled 31 to 26 computations (16.1% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	0.5557967657325196	109.42896939646481

Results

8.0ms	87×	body	256	valid
4.0ms	16×	body	1024	valid
3.0ms	4×	body	2048	valid
1.0ms	5×	body	512	valid

Compiler

Compiled 104 to 99 computations (4.8% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	497

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199236726593/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199236726593/9007199254740992) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199236726593/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 beta 3264099712959499/1208925819614629174706176) (/.f64 (/.f64 2 (+.f64 alpha 2)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(if (<=.f64 beta 8) (/.f64 (/.f64 2 (+.f64 alpha 2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199236726593/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199236726593/9007199254740992) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199236726593/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 beta 3264099712959499/1208925819614629174706176) (/.f64 (/.f64 2 (+.f64 alpha 2)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(if (<=.f64 beta 8) (/.f64 (/.f64 2 (+.f64 alpha 2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) 1)
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 203 to 155 computations (23.6% saved)

soundness0.0ms (0%)

end132.0ms (1.4%)

Compiler: Compiled 187 to 135 computations (27.8% saved)