Details

analyze64.0ms (0.8%)

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)

sample2.1s (25.8%)

Results

1.2s	6505×	body	256	valid
505.0ms	597×	body	512	valid
320.0ms	1064×	body	1024	valid
32.0ms	90×	body	2048	valid

Bogosity

preprocess4.0ms (0%)

Algorithm

2×	egg-herbie

Rules

16×	`rational_best_45_simplify-73`
4×	`rational_best_45_simplify-19`
4×	`rational_best_45_simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	25	74
2	29	74
3	33	74
0	2	2

Stop Event

1×	saturated
1×	saturated

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`rational_best_45_simplify-73`
4×	`rational_best_45_simplify-80`
2×	`rational_best_45_simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	17	37
2	21	37
3	25	37

Stop Event

1×

saturated

Counts

1 → 4

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

eval1.0ms (0%)

Compiler: Compiled 54 to 35 computations (35.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

14.1b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.1b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize51.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	1.6b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 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 beta alpha) 2)) 1)
1.0ms	beta	@	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
1.0ms	alpha	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

rewrite126.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`rational_best_45_simplify-71`
1104×	`rational_best_45_simplify-67`
1074×	`rational_best-4`
1074×	`rational_best-2`
1074×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	61	56
2	129	56
3	418	56
4	1891	56

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs
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Outputs

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simplify176.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1130×	`rational_best_45_simplify-100`
944×	`rational_best_45_simplify-71`
938×	`rational_best_45_simplify-37`
872×	`rational_best_45_simplify-91`
580×	`rational_best_45_simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	408	7416
1	1458	7214
2	6768	7214

Stop Event

1×	node limit

Counts

144 → 220

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

eval365.0ms (4.5%)

Compiler: Compiled 9985 to 6225 computations (37.7% saved)

prune86.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	210	10	220
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	211	10	221

Error

0.0b

Counts

221 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	47.6b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	33.0b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	49.5b	(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (.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)
▶	14.5b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	49.1b	(/.f64 (+.f64 (.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))) 2)
	41.6b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
	61.6b	(/.f64 (+.f64 -1 1) 2)
▶	49.1b	(/.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)
▶	47.6b	(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
▶	37.0b	(/.f64 2 2)

Compiler

Compiled 376 to 300 computations (20.2% 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
0.0ms	beta	@	inf	(/.f64 beta (+.f64 beta 2))
0.0ms	beta	@	0	(/.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)
0.0ms	beta	@	inf	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)

rewrite135.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`rational_best_45_simplify-73`
860×	`rational_best_45_simplify-71`
664×	`rational_best-4`
664×	`rational_best-2`
664×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	45	32
2	89	32
3	266	32
4	1206	32
5	6265	32

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

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

simplify141.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1586×	`rational_best_45_simplify-71`
904×	`rational_best_45_simplify-100`
722×	`rational_best_45_simplify-91`
720×	`rational_best_45_simplify-37`
660×	`rational_best_45_simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	2488
1	924	2488
2	6764	2488

Stop Event

1×	node limit

Counts

130 → 137

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

localize38.0ms (0.5%)

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 alpha (+.f64 alpha 2))
✓	2.0b	(-.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	@	0	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
0.0ms	alpha	@	-inf	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
0.0ms	alpha	@	inf	(/.f64 alpha (+.f64 alpha 2))
0.0ms	alpha	@	0	(/.f64 alpha (+.f64 alpha 2))

rewrite115.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`rational_best_45_simplify-73`
832×	`rational_best_45_simplify-71`
658×	`rational_best_45_simplify-67`
652×	`rational_best-4`
652×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	42	32
2	84	32
3	268	32
4	1211	32
5	6188	32

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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simplify216.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1590×	`rational_best_45_simplify-71`
880×	`rational_best_45_simplify-100`
812×	`rational_best_45_simplify-70`
702×	`rational_best_45_simplify-37`
702×	`rational_best_45_simplify-91`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	241	2813
1	923	2765
2	6409	2765

Stop Event

1×	node limit

Counts

133 → 142

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

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 25 computations (43.2% saved)

series7.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite131.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1286×	`rational_best-4`
1286×	`rational_best-2`
1286×	`rational_best-3`
1286×	`rational_best-1`
830×	`rational_best_45_simplify-98`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	73
1	70	73
2	160	73
3	524	61
4	2402	61
5	7943	61

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

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simplify142.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1338×	`rational_best_45_simplify-71`
1148×	`rational_best_45_simplify-100`
942×	`rational_best_45_simplify-37`
908×	`rational_best_45_simplify-91`
816×	`rational_best_45_simplify-73`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	4455
1	1182	4033
2	6168	4027

Stop Event

1×	node limit

Counts

197 → 167

Calls

Call 1

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

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

localize64.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 2 beta) 2)
✓	0.0b	(*.f64 beta (+.f64 2 beta))
✓	3.0b	(+.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)))
✓	3.3b	(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))

Compiler

Compiled 142 to 96 computations (32.4% saved)

series10.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

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

rewrite162.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`rational_best_45_simplify-84`
752×	`rational_best_45_simplify-73`
710×	`rational_best_45_simplify-96`
506×	`rational_best_45_simplify-71`
458×	`rational_best_45_simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	140
1	97	140
2	266	140
3	981	136
4	4355	136

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

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

simplify150.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1176×	`rational_best_45_simplify-98`
990×	`rational_best_45_simplify-100`
764×	`rational_best_45_simplify-37`
744×	`rational_best_45_simplify-91`
628×	`rational_best_45_simplify-73`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	8337
1	1101	8309
2	4336	8195

Stop Event

1×	node limit

Counts

211 → 191

Calls

Call 1

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

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

eval773.0ms (9.5%)

Compiler: Compiled 23124 to 17104 computations (26% saved)

prune277.0ms (3.4%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	625	12	637
Fresh	4	1	5
Picked	1	0	1
Done	1	3	4
Total	631	16	647

Error

0.0b

Counts

647 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	50.7b	(/.f64 (-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
	50.9b	(/.f64 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
✓	33.0b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	34.0b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	14.5b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	35.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
▶	41.6b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
	49.1b	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (+.f64 4 (.f64 4 beta)) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))) 2)
▶	48.2b	(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 4 (pow.f64 alpha 2)))) 2)
	47.6b	(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
	47.6b	(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 1 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))))) 2)
	59.2b	(/.f64 beta alpha)
✓	37.0b	(/.f64 2 2)
▶	49.8b	(/.f64 1 alpha)
▶	32.7b	(/.f64 1 2)
	47.6b	(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))

Compiler

Compiled 407 to 327 computations (19.7% saved)

localize6.0ms (0.1%)

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

localize3.0ms (0%)

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

localize8.0ms (0.1%)

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

localize23.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 50 to 38 computations (24% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`rational_best-4`
1496×	`rational_best-2`
1496×	`rational_best-3`
1496×	`rational_best-1`
640×	`rational_best_45_simplify-84`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	68	44
2	175	44
3	621	44
4	2895	44

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

simplify112.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1376×	`rational_best_45_simplify-84`
874×	`rational_best_45_simplify-71`
728×	`rational_best_45_simplify-100`
608×	`rational_best_45_simplify-37`
568×	`rational_best_45_simplify-91`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	182	2941
1	712	2867
2	3981	2867

Stop Event

1×	node limit

Counts

127 → 101

Calls

Call 1

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

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

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (neg.f64 beta) (+.f64 2 beta))
	0.0b	(/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)
✓	0.2b	(/.f64 4 (pow.f64 alpha 2))
✓	2.7b	(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 4 (pow.f64 alpha 2)))

Compiler

Compiled 82 to 54 computations (34.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite87.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1374×	`rational_best-4`
1374×	`rational_best-2`
1374×	`rational_best-3`
1374×	`rational_best-1`
866×	`rational_best_45_simplify-98`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	78	54
2	170	54
3	545	50
4	2501	50

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

simplify156.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational_best_45_simplify-98`
1080×	`rational_best_45_simplify-84`
870×	`rational_best_45_simplify-71`
844×	`rational_best_45_simplify-80`
598×	`rational_best_45_simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	145	2625
1	534	2603
2	3110	2603
3	7843	2603

Stop Event

1×	node limit

Counts

87 → 74

Calls

Call 1

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

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

eval193.0ms (2.4%)

Compiler: Compiled 10624 to 7846 computations (26.1% saved)

prune69.0ms (0.8%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	297	5	302
Fresh	1	7	8
Picked	1	0	1
Done	1	6	7
Total	300	18	318

Error

0.0b

Counts

318 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	50.7b	(/.f64 (-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
	41.6b	(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 2 alpha)) beta)) 2)
✓	33.0b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	34.0b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	14.5b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	35.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
▶	41.4b	(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)
▶	39.8b	(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
	48.2b	(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 4 (pow.f64 alpha 2)))) 2)
	49.1b	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (+.f64 4 (.f64 4 beta)) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))) 2)
	50.9b	(/.f64 (*.f64 -1 (+.f64 (/.f64 -2 alpha) (/.f64 4 (pow.f64 alpha 2)))) 2)
	47.6b	(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
▶	47.6b	(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 1 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))))) 2)
▶	59.2b	(/.f64 beta alpha)
✓	37.0b	(/.f64 2 2)
✓	49.8b	(/.f64 1 alpha)
✓	32.7b	(/.f64 1 2)
	47.6b	(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))

Compiler

Compiled 424 to 338 computations (20.3% saved)

localize11.0ms (0.1%)

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

localize3.0ms (0%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize12.0ms (0.1%)

Compiler: Compiled 25 to 20 computations (20% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite93.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`rational_best_45_simplify-71`
708×	`rational_best_45_simplify-100`
680×	`rational_best-4`
680×	`rational_best-2`
680×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	39	13
2	92	13
3	300	13
4	1423	13
5	6644	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational_best_45_simplify-84`
1008×	`rational_best_45_simplify-25`
938×	`rational_best_45_simplify-98`
668×	`rational_best_45_simplify-100`
668×	`rational_best_45_simplify-67`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	418
1	174	418
2	709	286
3	3244	286

Stop Event

1×	node limit

Counts

22 → 23

Calls

Call 1

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

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

localize47.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 -2 beta) beta)
✓	0.2b	(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 1 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))))) 2)
✓	0.6b	(/.f64 1 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
✓	7.7b	(*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 1 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)))

Compiler

Compiled 127 to 83 computations (34.6% saved)

series4.0ms (0%)

Counts

4 → 84

Calls

21 calls:

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

rewrite132.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`rational_best_45_simplify-35`
946×	`rational_best_45_simplify-71`
672×	`rational_best_45_simplify-100`
586×	`rational_best-4`
586×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	170
1	98	116
2	286	116
3	1234	116
4	5857	116

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 1 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 1 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) (.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 1 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) (.f64 (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (/.f64 1 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 1 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) (.f64 (.f64 (/.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) (.f64 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simplify187.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1030×	`rational_best_45_simplify-98`
950×	`rational_best_45_simplify-100`
770×	`rational_best_45_simplify-37`
734×	`rational_best_45_simplify-91`
542×	`rational_best_45_simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	8728
1	1128	8308
2	4141	8056

Stop Event

1×	node limit

Counts

226 → 195

Calls

Call 1

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

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

eval327.0ms (4%)

Compiler: Compiled 13001 to 8767 computations (32.6% saved)

prune105.0ms (1.3%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	293	1	294
Fresh	0	7	7
Picked	1	0	1
Done	0	10	10
Total	294	18	312

Error

0.0b

Counts

312 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	50.7b	(/.f64 (-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
	41.6b	(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 2 alpha)) beta)) 2)
✓	33.0b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	34.0b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	14.5b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	35.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	41.4b	(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)
✓	39.8b	(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
	48.2b	(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 4 (pow.f64 alpha 2)))) 2)
	49.1b	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (+.f64 4 (.f64 4 beta)) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))) 2)
	50.9b	(/.f64 (*.f64 -1 (+.f64 (/.f64 -2 alpha) (/.f64 4 (pow.f64 alpha 2)))) 2)
	47.6b	(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
	50.5b	(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 1 (/.f64 -2 alpha))))) 2)
✓	59.2b	(/.f64 beta alpha)
✓	37.0b	(/.f64 2 2)
✓	49.8b	(/.f64 1 alpha)
✓	32.7b	(/.f64 1 2)
	47.6b	(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))

Compiler

Compiled 231 to 187 computations (19% saved)

regimes142.0ms (1.7%)

Counts

30 → 2

Calls

Call 1

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

Calls

5 calls:

72.0ms	alpha
18.0ms	beta
18.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
11.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
11.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
3.6b	2	`alpha`
14.1b	1	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 476 to 354 computations (25.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999791921058	-3.755663832361637e-14

Compiler

Compiled 20 to 15 computations (25% saved)

regimes78.0ms (1%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

5 calls:

32.0ms	alpha
14.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
12.0ms	beta
7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
3.6b	2	`alpha`
14.1b	1	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 280 to 208 computations (25.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999866	-0.9999999791921058

Compiler

Compiled 20 to 15 computations (25% saved)

regimes42.0ms (0.5%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
3.8b	2	`alpha`
14.5b	1	`beta`

Compiler

Compiled 135 to 104 computations (23% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
10.0ms	11570704287244190.0	28722211039906588.0

Results

9.0ms

80×

body

256

valid

Compiler

Compiled 130 to 100 computations (23.1% saved)

regimes48.0ms (0.6%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
16.3b	5	`alpha`
15.1b	2	`beta`

Compiler

Compiled 54 to 42 computations (22.2% saved)

bsearch51.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
51.0ms	0.07964009348862348	379733.63185036776

Results

31.0ms	5×	body	2048	valid
11.0ms	109×	body	256	valid
6.0ms	23×	body	1024	valid
1.0ms	7×	body	512	valid

Compiler

Compiled 209 to 186 computations (11% saved)

regimes43.0ms (0.5%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
16.3b	5	`alpha`
15.4b	2	`beta`

Compiler

Compiled 46 to 35 computations (23.9% saved)

bsearch87.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
87.0ms	0.07964009348862348	379733.63185036776

Results

74.0ms	105×	body	256	valid
6.0ms	21×	body	1024	valid
3.0ms	15×	body	512	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 164 to 150 computations (8.5% saved)

regimes35.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	alpha
9.0ms	beta

Results

Error	Segments	Branch
16.3b	5	`alpha`
15.6b	2	`beta`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.07964009348862348	379733.63185036776

Results

11.0ms	113×	body	256	valid
3.0ms	16×	body	512	valid
3.0ms	12×	body	1024	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 128 to 123 computations (3.9% saved)

regimes10.0ms (0.1%)

Accuracy

Total -40.0b remaining (-185.8%)

Threshold costs -40.0b (-185.8%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	alpha
3.0ms	beta

Results

Error	Segments	Branch
21.5b	2	`alpha`
32.7b	1	`beta`

Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	0.0009429708239411341	1.0178238837336715

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 116 to 103 computations (11.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	370

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 4 (pow.f64 alpha 2)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 12000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (+.f64 2 (neg.f64 (/.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))
(if (<=.f64 alpha 8106479329266893/9007199254740992) (/.f64 1 2) (/.f64 1 alpha))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 4 (pow.f64 alpha 2)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 12000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (+.f64 2 (neg.f64 (/.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)
(if (<=.f64 alpha 8106479329266893/9007199254740992) (/.f64 1 2) (/.f64 1 alpha))
(if (<=.f64 alpha 8106479329266893/9007199254740992) 1/2 (/.f64 1 alpha))
(/.f64 1 2)
1/2

Compiler

Compiled 156 to 115 computations (26.3% saved)

soundness322.0ms (4%)

Algorithm

3×	egg-herbie

Rules

1338×	`rational_best_45_simplify-71`
1148×	`rational_best_45_simplify-100`
1130×	`rational_best_45_simplify-100`
944×	`rational_best_45_simplify-71`
942×	`rational_best_45_simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	17	37
2	21	37
3	25	37
0	408	7416
1	1458	7214
2	6768	7214
0	297	4455
1	1182	4033
2	6168	4027

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 300 to 224 computations (25.3% saved)

end73.0ms (0.9%)

Compiler: Compiled 142 to 98 computations (31% saved)

Details

analyze64.0ms (0.8%)

sample2.1s (25.8%)

preprocess4.0ms (0%)

simplify8.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize51.0ms (0.6%)

series7.0ms (0.1%)

rewrite126.0ms (1.6%)

simplify176.0ms (2.2%)

eval365.0ms (4.5%)

prune86.0ms (1.1%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite135.0ms (1.7%)

simplify141.0ms (1.7%)

localize38.0ms (0.5%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite115.0ms (1.4%)

simplify216.0ms (2.7%)

localize19.0ms (0.2%)

series7.0ms (0.1%)

rewrite131.0ms (1.6%)

simplify142.0ms (1.7%)

localize64.0ms (0.8%)

series10.0ms (0.1%)

rewrite162.0ms (2%)

simplify150.0ms (1.8%)

eval773.0ms (9.5%)

prune277.0ms (3.4%)

localize6.0ms (0.1%)

localize3.0ms (0%)

localize8.0ms (0.1%)

localize23.0ms (0.3%)

series4.0ms (0%)

rewrite76.0ms (0.9%)

simplify112.0ms (1.4%)

localize35.0ms (0.4%)

series2.0ms (0%)

rewrite87.0ms (1.1%)

simplify156.0ms (1.9%)

eval193.0ms (2.4%)

prune69.0ms (0.8%)

localize11.0ms (0.1%)

localize3.0ms (0%)

localize12.0ms (0.1%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite93.0ms (1.1%)

simplify60.0ms (0.7%)

localize47.0ms (0.6%)

series4.0ms (0%)

rewrite132.0ms (1.6%)

simplify187.0ms (2.3%)

eval327.0ms (4%)

prune105.0ms (1.3%)

regimes142.0ms (1.7%)

bsearch0.0ms (0%)

regimes78.0ms (1%)

bsearch0.0ms (0%)

regimes42.0ms (0.5%)

bsearch10.0ms (0.1%)

regimes48.0ms (0.6%)

bsearch51.0ms (0.6%)

regimes43.0ms (0.5%)

bsearch87.0ms (1.1%)

regimes35.0ms (0.4%)

bsearch20.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch14.0ms (0.2%)

simplify6.0ms (0.1%)

soundness322.0ms (4%)

end73.0ms (0.9%)

Profiling