Details

analyze41.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.5s (15%)

Results

1.0s	6533×	body	256	valid
324.0ms	1016×	body	1024	valid
121.0ms	606×	body	512	valid
41.0ms	101×	body	2048	valid

Bogosity

preprocess95.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1084×	`fma-neg`
902×	`associate-+l-`
768×	`div-sub`
742×	`associate--l-`
622×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	41	74
2	64	74
3	110	74
4	200	74
5	438	66
6	956	66
7	2718	66
8	5961	66
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

982×	`associate-/l*`
722×	`fma-def`
710×	`distribute-lft-in`
708×	`associate-+l-`
618×	`associate--l-`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	25	37
2	41	37
3	69	37
4	117	37
5	255	33
6	463	33
7	845	33
8	1720	33
9	3940	33

Stop Event

1×	node limit

Counts

1 → 5

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

eval1.0ms (0%)

Compiler: Compiled 65 to 39 computations (40% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

15.8b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.8b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	2.1b	(+.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	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	alpha	@	0	(+.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	@	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
1.0ms	beta	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`associate-/l*`
1468×	`associate-/r/`
762×	`associate-/l/`
280×	`+-commutative`
274×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	259	56
2	3844	56

Stop Event

1×	node limit

Counts

2 → 134

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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 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Outputs

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simplify136.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

924×	`distribute-lft-in`
812×	`distribute-rgt-in`
734×	`*-commutative`
724×	`+-commutative`
570×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	608	12724
1	2161	12284

Stop Event

1×	node limit

Counts

182 → 354

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))))
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(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha 2))))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (+.f64 beta (-.f64 alpha 2))))
(.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (.f64 (+.f64 beta alpha) 2)))))
(.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 (-.f64 2 beta) alpha))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (.f64 beta beta) (-.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (.f64 (+.f64 beta alpha) 2))))
(.f64 (/.f64 (.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(.f64 (/.f64 (.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) (/.f64 1 (+.f64 beta alpha)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (-.f64 beta alpha))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 1 (-.f64 beta alpha)))) (-.f64 beta alpha))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (-.f64 beta alpha)))) (sqrt.f64 (-.f64 beta alpha)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (-.f64 beta alpha)))) (cbrt.f64 (-.f64 beta alpha)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)))) (neg.f64 (-.f64 beta alpha)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (.f64 alpha alpha) (.f64 beta beta))) (-.f64 alpha beta))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (.f64 (.f64 alpha (+.f64 beta alpha)) (.f64 alpha (+.f64 beta alpha))))) (-.f64 (.f64 beta beta) (.f64 alpha (+.f64 beta alpha))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha (+.f64 beta alpha)) 3))) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (-.f64 (.f64 (.f64 alpha (+.f64 beta alpha)) (.f64 alpha (+.f64 beta alpha))) (.f64 (.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 beta (-.f64 alpha 2))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 beta (-.f64 alpha 2))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 beta (-.f64 alpha 2))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (-.f64 alpha 2)))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (.f64 (+.f64 beta alpha) 2)))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 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 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.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 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (.f64 beta beta))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.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 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
2
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) 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 (fma.f64 -1 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) 2) beta) 2) (+.f64 (.f64 (/.f64 (+.f64 alpha 2) (.f64 beta beta)) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -1 (/.f64 (.f64 (+.f64 alpha 1) 2) beta) 2) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) alpha))) (.f64 (/.f64 (+.f64 alpha 2) (.f64 beta beta)) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))
2
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (fma.f64 -1 (.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (.f64 beta beta)) (+.f64 alpha 2)) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 (neg.f64 (+.f64 (.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (+.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))
(+.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))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))))
(/.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 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta))))
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(.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (-.f64 (.f64 beta (+.f64 (+.f64 alpha 2) beta)) (.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 (.f64 beta (+.f64 (+.f64 alpha 2) beta)) (.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(/.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta))))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (-.f64 alpha 2)))
(.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (-.f64 (.f64 beta (+.f64 (+.f64 alpha 2) beta)) (.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 (.f64 beta (+.f64 (+.f64 alpha 2) beta)) (.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(/.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta))))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (.f64 (+.f64 beta alpha) 2)))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 (+.f64 alpha 2) beta)) (.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (.f64 2 (+.f64 alpha beta))))))
(.f64 (+.f64 alpha (+.f64 -2 beta)) (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 (+.f64 alpha 2) beta)) (.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (.f64 2 (+.f64 alpha beta))))))
(.f64 (+.f64 alpha (+.f64 -2 beta)) (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

eval243.0ms (2.4%)

Compiler: Compiled 12222 to 7914 computations (35.2% saved)

prune102.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	343	11	354
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	344	11	355

Error

0.0b

Counts

355 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.9b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	48.0b	(/.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta)))) 2)
	33.7b	(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2)
	32.4b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	16.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	15.9b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	44.0b	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	61.7b	(/.f64 (+.f64 -1 1) 2)
	33.7b	(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))))) 2)
▶	48.0b	(/.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))) (*.f64 alpha alpha)))) 2)
▶	39.4b	(/.f64 2 2)

Compiler

Compiled 482 to 354 computations (26.6% saved)

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 63 to 39 computations (38.1% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite123.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`distribute-lft-in`
1120×	`associate-/r*`
802×	`associate-/r/`
774×	`associate-/l*`
364×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	282	75
2	4024	75

Stop Event

1×	node limit

Counts

3 → 267

Calls

Call 1

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

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

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

simplify331.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-/l*`
1068×	`associate-r`
998×	`associate-/r*`
952×	`*-commutative`
888×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	988	22689
1	3165	22191

Stop Event

1×	node limit

Counts

339 → 626

Calls

Call 1

Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
1
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
-1
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1)
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
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(/.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) 1) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) -1) (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) 1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) -1) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (+.f64 alpha 2)) 1 (+.f64 alpha 2))))
(+.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2))))
(+.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 alpha 2))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (neg.f64 alpha) -2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 beta beta)) (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 beta beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 -1 (/.f64 -1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 -1 (+.f64 beta (+.f64 alpha 2))) -1)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (neg.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(.f64 (/.f64 1 (-.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4)) (-.f64 (+.f64 beta alpha) 2))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (sqrt.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (cbrt.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))
(.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 3))) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)) (.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(.f64 (/.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 (.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(.f64 (/.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3))) (+.f64 (.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 (.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 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 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.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 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (.f64 beta beta)))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.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 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (-.f64 (fma.f64 (.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))) (/.f64 alpha (+.f64 alpha 2))))
2
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) 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 (fma.f64 -1 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 2) (-.f64 (/.f64 alpha (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) alpha)) (neg.f64 (/.f64 (.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 2) (-.f64 (+.f64 (/.f64 alpha (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (/.f64 (.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
2
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (-.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 -2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 -2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))
(+.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))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))))
(/.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)))
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1
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1
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(+.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (/.f64 (.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2))) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))
(+.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 alpha 2))))
(.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (+.f64 (-.f64 beta alpha) -2) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (neg.f64 alpha) -2)))
(.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (+.f64 (-.f64 beta alpha) -2) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))))
(.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 beta (*.f64 (sqrt.f64 (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 alpha 2))))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))))
(.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 beta (*.f64 (cbrt.f64 (+.f64 alpha 2)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 beta beta)) (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 beta beta)))
(.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)))
(*.f64 -1 (/.f64 -1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (*.f64 1 (/.f64 -1 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2))
(/.f64 (/.f64 -1 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))
(.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (+.f64 (-.f64 beta alpha) -2) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(*.f64 (/.f64 -1 (+.f64 beta (+.f64 alpha 2))) -1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2)) -2)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (+.f64 (-.f64 beta alpha) -2) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (neg.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(.f64 (+.f64 alpha (-.f64 2 beta)) (/.f64 1 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (+.f64 alpha (-.f64 2 beta))))
(.f64 (/.f64 1 (-.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4)) (-.f64 (+.f64 beta alpha) 2))
(*.f64 (/.f64 1 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4)) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 1 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4)) (+.f64 alpha (+.f64 beta -2)))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 4 (.f64 2 (+.f64 alpha beta)))))
(.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (sqrt.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -1/2) (sqrt.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) (sqrt.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (+.f64 (-.f64 beta alpha) -2)))
(.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (+.f64 (-.f64 beta alpha) -2) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2)) (cbrt.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))) (cbrt.f64 (+.f64 (-.f64 beta alpha) -2)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (cbrt.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (cbrt.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))
(.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))) (+.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(.f64 (/.f64 (+.f64 (-.f64 beta alpha) -2) (-.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))) (+.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 3))) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)) (.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 beta 6) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 3))) (+.f64 (pow.f64 beta 4) (+.f64 (pow.f64 (+.f64 alpha 2) 4) (.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(.f64 (/.f64 (+.f64 (-.f64 beta alpha) -2) (-.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6))) (+.f64 (.f64 beta (*.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))))
(.f64 (/.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 (.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(/.f64 (.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (-.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6)))
(.f64 (/.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(.f64 (/.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3))) (+.f64 (.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 (.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(.f64 (/.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3))) (+.f64 (pow.f64 beta 6) (-.f64 (pow.f64 (+.f64 alpha 2) 6) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(/.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3)) (-.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6)) (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) 3)
(/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha)) 3))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))

localize3.0ms (0%)

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

localize12.0ms (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)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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)

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1986×	`add-sqr-sqrt`
1962×	`*-un-lft-identity`
1846×	`add-cube-cbrt`
1832×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	180	32
2	2431	32

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

992×	`fma-def`
832×	`times-frac`
784×	`associate-/l*`
770×	`unswap-sqr`
644×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	2706
1	481	2460
2	1722	2280

Stop Event

1×	node limit

Counts

94 → 133

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 (/.f64 beta (+.f64 beta 2)) 1) 1)
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(.f64 beta (.f64 (/.f64 1 (+.f64 beta 2)) 1))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(.f64 (sqrt.f64 beta) (.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(.f64 (pow.f64 (cbrt.f64 beta) 2) (.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))
(.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 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 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)

Outputs
(*.f64 1/2 beta)
(+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2)))
(fma.f64 1/2 beta (.f64 -1/4 (.f64 beta beta)))
(fma.f64 -1/4 (.f64 beta beta) (.f64 1/2 beta))
(.f64 beta (+.f64 1/2 (.f64 beta -1/4)))
(+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (fma.f64 -1/4 (.f64 beta beta) (.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (.f64 (.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8))))
(+.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)))))
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (.f64 beta beta) (.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 1/2 beta (fma.f64 -1/16 (pow.f64 beta 4) (.f64 (.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta)))
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3)))
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta)))
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3)))
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 (*.f64 1/2 beta) 1)
(fma.f64 1/2 beta 1)
(+.f64 1 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2))))
(+.f64 (fma.f64 1/2 beta (.f64 -1/4 (.f64 beta beta))) 1)
(+.f64 (.f64 beta (.f64 beta -1/4)) (fma.f64 1/2 beta 1))
(fma.f64 1/2 beta (fma.f64 beta (*.f64 beta -1/4) 1))
(+.f64 1 (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(+.f64 (fma.f64 1/2 beta (fma.f64 -1/4 (.f64 beta beta) (.f64 1/8 (pow.f64 beta 3)))) 1)
(+.f64 (fma.f64 -1/4 (.f64 beta beta) (.f64 1/8 (pow.f64 beta 3))) (fma.f64 1/2 beta 1))
(+.f64 (.f64 beta (+.f64 1/2 (.f64 beta -1/4))) (fma.f64 1/8 (pow.f64 beta 3) 1))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta)))
(+.f64 2 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 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 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (+.f64 2 (/.f64 (/.f64 4 beta) beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta)))
(+.f64 2 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 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 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (+.f64 2 (/.f64 (/.f64 4 beta) beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(.f64 beta (.f64 (/.f64 1 (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(.f64 (sqrt.f64 beta) (.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(.f64 (pow.f64 (cbrt.f64 beta) 2) (.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(/.f64 (neg.f64 beta) (-.f64 -2 beta))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(/.f64 beta (*.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))
(.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))
(.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))
(.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (+.f64 4 (.f64 beta -2))))
(/.f64 beta (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (fma.f64 beta -2 4))))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(/.f64 beta (*.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
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(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
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(/.f64 beta (+.f64 beta 2))
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
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(/.f64 beta (+.f64 beta 2))
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(/.f64 (neg.f64 beta) (-.f64 -2 beta))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
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(/.f64 beta (+.f64 beta 2))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1)
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(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.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 beta (+.f64 beta 2)) 1) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
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(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
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(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))))
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(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))
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(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1))
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1958×	`add-sqr-sqrt`
1936×	`*-un-lft-identity`
1814×	`add-cube-cbrt`
1796×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	176	15
2	2351	15

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1000×	`associate-+r+`
782×	`associate-+l+`
750×	`*-commutative`
578×	`associate-*r/`
400×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	972
1	214	960
2	838	732
3	3745	732

Stop Event

1×	node limit

Counts

44 → 44

Calls

Call 1

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

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

localize55.0ms (0.5%)

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)
✓	2.4b	(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)))
✓	4.0b	(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha))

Compiler

Compiled 142 to 87 computations (38.7% saved)

series12.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	-inf	(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha))
1.0ms	alpha	@	0	(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha))
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))) (.f64 alpha alpha)))
1.0ms	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))) (.f64 alpha alpha)))
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))) (.f64 alpha alpha)))

rewrite174.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`associate-+l+`
452×	`+-commutative`
420×	`add-sqr-sqrt`
410×	`*-un-lft-identity`
408×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	154
1	391	126
2	6629	126

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

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

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

simplify152.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

872×	`times-frac`
806×	`associate-r`
786×	`associate-l`
734×	`associate-/r*`
540×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	553	14606
1	1534	13802

Stop Event

1×	node limit

Counts

292 → 358

Calls

Call 1

Inputs
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(/.f64 -2 alpha)
(-.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 -2 (/.f64 beta alpha))
(-.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 -2 (/.f64 beta alpha))
(-.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
-2
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))) 1)
(.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))
(.f64 (.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 1)
(.f64 1 (.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha))
(.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) (.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) (pow.f64 alpha -2)))
(.f64 (cbrt.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))) (cbrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))))
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(fma.f64 1 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))) (cbrt.f64 (.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(+.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 (neg.f64 (/.f64 (+.f64 2 beta) alpha)) (/.f64 beta alpha))
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 1)
(-.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 beta alpha))
(-.f64 (/.f64 0 alpha) (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 2 beta) alpha))))
(*.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 1)
(*.f64 1 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))
(.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 beta (+.f64 beta -2)))
(*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta (+.f64 beta -2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 beta -2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 3)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) -1)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 3) 1/3)
(neg.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))
(+.f64 beta (+.f64 beta -2))
(+.f64 beta (*.f64 (+.f64 beta -2) 1))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 (+.f64 beta -2) beta)
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 0 (+.f64 beta (+.f64 beta -2)))
(+.f64 (+.f64 beta beta) -2)
(+.f64 (*.f64 (+.f64 beta -2) 1) beta)
(+.f64 -2 (+.f64 beta beta))
(+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))
(+.f64 (+.f64 (+.f64 beta -2) 0) beta)
(*.f64 (+.f64 beta (+.f64 beta -2)) 1)
(*.f64 1 (+.f64 beta (+.f64 beta -2)))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 (+.f64 beta (+.f64 beta -2))))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta -2))))
(.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 (+.f64 beta beta))))
(.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 beta beta (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 beta))))
(/.f64 1 (/.f64 (+.f64 2 (+.f64 beta beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 2 (+.f64 beta beta)))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 beta (+.f64 beta -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(/.f64 (-.f64 (.f64 beta beta) (.f64 (+.f64 beta -2) (+.f64 beta -2))) (-.f64 beta (+.f64 beta -2)))
(/.f64 (-.f64 (.f64 (+.f64 beta -2) (+.f64 beta -2)) (.f64 beta beta)) (+.f64 beta (+.f64 beta -2)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (-.f64 (+.f64 (.f64 beta beta) (.f64 (+.f64 beta -2) (+.f64 beta -2))) (*.f64 beta (+.f64 beta -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (+.f64 (.f64 (+.f64 beta -2) (+.f64 beta -2)) (+.f64 (.f64 beta beta) (*.f64 (+.f64 beta -2) beta))))
(pow.f64 (+.f64 beta (+.f64 beta -2)) 1)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 2)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3) 1/3)
(neg.f64 (+.f64 2 (+.f64 beta beta)))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta -2)))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta -2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta -2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta -2))) 1))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta -2))))
(fma.f64 1 beta (+.f64 beta -2))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))
(fma.f64 -1 beta (+.f64 beta -2))

Outputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 6 (/.f64 beta (*.f64 alpha alpha))))
(+.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 (.f64 6 beta) (*.f64 alpha alpha)))
(+.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)))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 4 (*.f64 alpha alpha))))
(+.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)))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 4 (*.f64 alpha alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(/.f64 (.f64 2 (.f64 beta beta)) (*.f64 alpha alpha))
(/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 2 (.f64 beta beta)) (.f64 alpha alpha)))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (*.f64 alpha alpha)))
(+.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)))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 4 (*.f64 alpha alpha))))
(+.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)))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 4 (*.f64 alpha alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(/.f64 (.f64 2 (.f64 beta beta)) (*.f64 alpha alpha))
(/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 2 (.f64 beta beta)) (.f64 alpha alpha)))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (*.f64 alpha alpha)))
(+.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)))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 4 (*.f64 alpha alpha))))
(+.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)))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 4 (*.f64 alpha alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (+.f64 2 (+.f64 beta beta)) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (+.f64 2 (+.f64 beta beta)) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (+.f64 2 (+.f64 beta beta)) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (+.f64 2 (+.f64 beta beta)) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (+.f64 2 (+.f64 beta beta)) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (+.f64 2 (+.f64 beta beta)) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (+.f64 2 (+.f64 beta beta)) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (+.f64 2 (+.f64 beta beta)) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (+.f64 2 (+.f64 beta beta)) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
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(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 beta (+.f64 beta -2)))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 -2 (+.f64 beta beta)))
(/.f64 (+.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 2 beta) 2)) (+.f64 beta (+.f64 beta -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(.f64 1 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(/.f64 (-.f64 (.f64 beta beta) (.f64 (+.f64 beta -2) (+.f64 beta -2))) (-.f64 beta (+.f64 beta -2)))
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(/.f64 (-.f64 (.f64 (+.f64 beta -2) (+.f64 beta -2)) (.f64 beta beta)) (+.f64 beta (+.f64 beta -2)))
(/.f64 (-.f64 (.f64 (+.f64 beta -2) (+.f64 beta -2)) (.f64 beta beta)) (+.f64 -2 (+.f64 beta beta)))
(/.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (+.f64 beta (+.f64 beta -2)) -2))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (-.f64 (+.f64 (.f64 beta beta) (.f64 (+.f64 beta -2) (+.f64 beta -2))) (*.f64 beta (+.f64 beta -2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta -2) (+.f64 beta -2))) (.f64 beta (+.f64 beta -2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (+.f64 (.f64 beta beta) (+.f64 4 (.f64 beta -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (+.f64 (.f64 (+.f64 beta -2) (+.f64 beta -2)) (+.f64 (.f64 beta beta) (*.f64 (+.f64 beta -2) beta))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (fma.f64 (+.f64 beta -2) (+.f64 beta -2) (*.f64 beta (+.f64 -2 (+.f64 beta beta)))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (fma.f64 (+.f64 beta -2) (+.f64 beta -2) (*.f64 beta (+.f64 beta (+.f64 beta -2)))))
(pow.f64 (+.f64 beta (+.f64 beta -2)) 1)
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 2)
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 3)
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3) 1/3)
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(neg.f64 (+.f64 2 (+.f64 beta beta)))
(fma.f64 -2 beta -2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 2))
(sqrt.f64 (pow.f64 (+.f64 -2 (+.f64 beta beta)) 2))
(fabs.f64 (+.f64 beta (+.f64 beta -2)))
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta -2))))
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta -2)))))
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3))
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta -2))))
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta -2))))
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta -2))) 1))
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta -2))))
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(fma.f64 1 beta (+.f64 beta -2))
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(fma.f64 -1 beta (+.f64 beta -2))
-2

eval795.0ms (7.9%)

Compiler: Compiled 35633 to 23292 computations (34.6% saved)

prune635.0ms (6.3%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1150	11	1161
Fresh	3	3	6
Picked	1	0	1
Done	1	3	4
Total	1155	17	1172

Error

Counts

1172 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	45.9b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	49.5b	(/.f64 (/.f64 2 alpha) 2)
	33.7b	(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))) 2)
▶	43.7b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	32.4b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	16.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	16.9b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
	42.2b	(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
	45.9b	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
	35.0b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	44.0b	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	33.7b	(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))))) 2)
	58.3b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
▶	59.5b	(/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (.f64 (neg.f64 alpha) (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 2)
▶	50.7b	(/.f64 (.f64 -1 (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))) 2)
	47.0b	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 -2 beta -2) (neg.f64 alpha))))) 2)
✓	39.4b	(/.f64 2 2)

Compiler

Compiled 587 to 431 computations (26.6% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 31 computations (22.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1258×	`associate-*r/`
894×	`associate-*l/`
838×	`*-commutative`
652×	`associate-/r*`
436×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	203	45
2	2634	45

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

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

Outputs

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

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

simplify146.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1300×	`associate-+l+`
1120×	`associate-+r+`
844×	`+-commutative`
714×	`associate-/l*`
528×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	606	10093
1	1694	9061
2	6425	9061

Stop Event

1×	node limit

Counts

251 → 377

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))))
1/2
(+.f64 (*.f64 -1/4 beta) 1/2)
(+.f64 (.f64 -1/4 beta) (+.f64 1/2 (.f64 1/8 (pow.f64 beta 2))))
(+.f64 (.f64 -1/4 beta) (+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(+.f64 (.f64 (/.f64 beta (fma.f64 beta beta -4)) beta) (.f64 (/.f64 beta (fma.f64 beta beta -4)) -2))
(+.f64 (.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)) (.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta -2))))
(+.f64 (.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta -2))) (.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)))
(+.f64 (.f64 beta (/.f64 beta (fma.f64 beta beta -4))) (.f64 -2 (/.f64 beta (fma.f64 beta beta -4))))
(+.f64 (.f64 (.f64 beta beta) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))) (.f64 (+.f64 4 (.f64 beta -2)) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))))
(+.f64 (.f64 (+.f64 4 (.f64 beta -2)) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))) (.f64 (.f64 beta beta) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2))))) 2)
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) 1))
(/.f64 1 (/.f64 (+.f64 beta 2) beta))
(/.f64 beta (+.f64 beta 2))
(/.f64 (/.f64 beta (+.f64 beta 2)) 1)
(/.f64 (sqrt.f64 beta) (/.f64 (+.f64 beta 2) (sqrt.f64 beta)))
(/.f64 (cbrt.f64 beta) (/.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 beta) 2)))
(/.f64 (cbrt.f64 beta) (/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 beta)) (cbrt.f64 (sqrt.f64 beta))))
(/.f64 (cbrt.f64 beta) (/.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 beta)) (cbrt.f64 beta)))
(/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (+.f64 beta 2) (cbrt.f64 beta)))
(/.f64 -1 (/.f64 (-.f64 -2 beta) beta))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 beta)) (sqrt.f64 (cbrt.f64 beta))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 beta)) (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 beta)) (/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 beta)) (sqrt.f64 (sqrt.f64 beta))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 beta) 2))) (/.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 beta)) (cbrt.f64 (pow.f64 (cbrt.f64 beta) 2))))
(/.f64 (*.f64 beta (cbrt.f64 (pow.f64 (+.f64 beta 2) -2))) (cbrt.f64 (+.f64 beta 2)))
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(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) 1) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (sqrt.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))))) (sqrt.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (cbrt.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) (cbrt.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2)))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)
(fma.f64 (/.f64 1 (+.f64 beta 2)) beta 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 (.f64 (/.f64 1 (fma.f64 beta beta -4)) beta) (.f64 (/.f64 1 (fma.f64 beta beta -4)) -2))
(+.f64 (.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)) (.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta -2))))
(+.f64 (.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta -2))) (.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)))
(+.f64 (.f64 beta (/.f64 1 (fma.f64 beta beta -4))) (.f64 -2 (/.f64 1 (fma.f64 beta beta -4))))
(+.f64 (.f64 (.f64 beta beta) (/.f64 1 (+.f64 8 (pow.f64 beta 3)))) (.f64 (+.f64 4 (.f64 beta -2)) (/.f64 1 (+.f64 8 (pow.f64 beta 3)))))
(+.f64 (.f64 (+.f64 4 (.f64 beta -2)) (/.f64 1 (+.f64 8 (pow.f64 beta 3)))) (.f64 (.f64 beta beta) (/.f64 1 (+.f64 8 (pow.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 2)) 1)
(*.f64 (pow.f64 (+.f64 beta 2) -1/2) (pow.f64 (+.f64 beta 2) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta 2))))
(*.f64 (+.f64 beta -2) (/.f64 1 (fma.f64 beta beta -4)))
(.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (/.f64 1 (+.f64 8 (pow.f64 beta 3))))
(*.f64 -1 (/.f64 -1 (+.f64 beta 2)))
(*.f64 (/.f64 -1 (+.f64 beta 2)) -1)
(*.f64 (/.f64 1 (fma.f64 beta beta -4)) (+.f64 beta -2))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1) (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta 2)) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) -1))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 beta beta -4))) (neg.f64 (+.f64 beta -2)))
(.f64 (/.f64 1 (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 (+.f64 beta -2) (-.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) 16)) (+.f64 4 (*.f64 beta beta)))
(.f64 (/.f64 (+.f64 beta -2) (-.f64 (pow.f64 (.f64 beta beta) 3) 64)) (+.f64 (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) 16) (.f64 4 (*.f64 beta beta))))
(.f64 (/.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) 64)) (-.f64 (pow.f64 beta 3) 8))
(.f64 (/.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (+.f64 512 (pow.f64 (pow.f64 beta 3) 3))) (+.f64 (.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 64 (.f64 8 (pow.f64 beta 3)))))
(.f64 (/.f64 1 (-.f64 4 (.f64 beta beta))) (-.f64 2 beta))
(.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (sqrt.f64 (+.f64 8 (pow.f64 beta 3)))) (sqrt.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (sqrt.f64 (fma.f64 beta beta -4))) (sqrt.f64 (+.f64 beta -2)))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 beta beta -4))) (+.f64 beta -2))
(.f64 (/.f64 -1 (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (cbrt.f64 (+.f64 8 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (cbrt.f64 (fma.f64 beta beta -4))) (cbrt.f64 (+.f64 beta -2)))
(pow.f64 (+.f64 beta 2) -1)
(pow.f64 (/.f64 1 (+.f64 beta 2)) 1)
(pow.f64 (pow.f64 (+.f64 beta 2) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta 2)))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta 2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta 2))))

Outputs
(*.f64 1/2 beta)
(+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2)))
(fma.f64 1/2 beta (.f64 -1/4 (.f64 beta beta)))
(fma.f64 1/2 beta (.f64 beta (.f64 beta -1/4)))
(+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (fma.f64 -1/4 (.f64 beta beta) (.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (fma.f64 1/8 (pow.f64 beta 3) (.f64 beta (.f64 beta -1/4))))
(+.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)))))
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (.f64 beta beta) (.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 1/8 (pow.f64 beta 3) (.f64 beta (.f64 beta -1/4)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (/.f64 2 beta))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta)))
(+.f64 (+.f64 1 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3)))
(-.f64 (+.f64 (+.f64 1 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3)))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (/.f64 2 beta))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta)))
(+.f64 (+.f64 1 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3)))
(-.f64 (+.f64 (+.f64 1 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3)))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 (*.f64 1/2 beta) 1)
(fma.f64 1/2 beta 1)
(+.f64 1 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2))))
(+.f64 (fma.f64 1/2 beta (.f64 -1/4 (.f64 beta beta))) 1)
(+.f64 (.f64 beta (.f64 beta -1/4)) (fma.f64 1/2 beta 1))
(+.f64 1 (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(+.f64 (fma.f64 1/2 beta (fma.f64 -1/4 (.f64 beta beta) (.f64 1/8 (pow.f64 beta 3)))) 1)
(+.f64 (fma.f64 1/8 (pow.f64 beta 3) (.f64 beta (.f64 beta -1/4))) (fma.f64 1/2 beta 1))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 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 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 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 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
1/2
(+.f64 (*.f64 -1/4 beta) 1/2)
(fma.f64 -1/4 beta 1/2)
(fma.f64 beta -1/4 1/2)
(+.f64 (.f64 -1/4 beta) (+.f64 1/2 (.f64 1/8 (pow.f64 beta 2))))
(+.f64 (fma.f64 -1/4 beta 1/2) (.f64 1/8 (.f64 beta beta)))
(fma.f64 beta -1/4 (fma.f64 1/8 (*.f64 beta beta) 1/2))
(+.f64 (.f64 -1/4 beta) (+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3)))))
(+.f64 (fma.f64 -1/4 beta 1/2) (fma.f64 1/8 (.f64 beta beta) (.f64 (pow.f64 beta 3) -1/16)))
(+.f64 (fma.f64 beta -1/4 1/2) (fma.f64 (pow.f64 beta 3) -1/16 (.f64 1/8 (.f64 beta beta))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 2 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 2 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 -2 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 2 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 2 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 -2 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4)))))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(+.f64 (.f64 (/.f64 beta (fma.f64 beta beta -4)) beta) (.f64 (/.f64 beta (fma.f64 beta beta -4)) -2))
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 beta (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(+.f64 (.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)) (.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta -2))))
(.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (+.f64 (.f64 beta beta) (+.f64 4 (*.f64 beta -2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta (+.f64 beta -2) 4))
(+.f64 (.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta -2))) (.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)))
(.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (+.f64 (.f64 beta beta) (+.f64 4 (*.f64 beta -2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta (+.f64 beta -2) 4))
(+.f64 (.f64 beta (/.f64 beta (fma.f64 beta beta -4))) (.f64 -2 (/.f64 beta (fma.f64 beta beta -4))))
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 beta (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(+.f64 (.f64 (.f64 beta beta) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))) (.f64 (+.f64 4 (.f64 beta -2)) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))))
(.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (+.f64 (.f64 beta beta) (+.f64 4 (*.f64 beta -2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta (+.f64 beta -2) 4))
(+.f64 (.f64 (+.f64 4 (.f64 beta -2)) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))) (.f64 (.f64 beta beta) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))))
(.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (+.f64 (.f64 beta beta) (+.f64 4 (*.f64 beta -2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta (+.f64 beta -2) 4))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2))))) 2)
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) 1))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (+.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (+.f64 -1 (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))))
(+.f64 -1 (+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))))
(/.f64 1 (/.f64 (+.f64 beta 2) beta))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(/.f64 beta (+.f64 beta 2))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(/.f64 (sqrt.f64 beta) (/.f64 (+.f64 beta 2) (sqrt.f64 beta)))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(/.f64 (cbrt.f64 beta) (/.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 beta) 2)))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(/.f64 (cbrt.f64 beta) (/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 beta)) (cbrt.f64 (sqrt.f64 beta))))
(*.f64 (/.f64 (cbrt.f64 beta) (/.f64 (+.f64 beta 2) (sqrt.f64 beta))) (cbrt.f64 (sqrt.f64 beta)))
(.f64 (cbrt.f64 (sqrt.f64 beta)) (.f64 (/.f64 (cbrt.f64 beta) (+.f64 beta 2)) (sqrt.f64 beta)))
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(*.f64 (+.f64 beta -2) (/.f64 1 (fma.f64 beta beta -4)))
(/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))
(.f64 (/.f64 1 (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) 8)) (+.f64 (.f64 beta beta) (+.f64 4 (*.f64 beta -2))))
(/.f64 (fma.f64 beta (+.f64 beta -2) 4) (+.f64 (pow.f64 beta 3) 8))
(.f64 (/.f64 (+.f64 beta -2) (-.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) 16)) (+.f64 4 (*.f64 beta beta)))
(.f64 (/.f64 (+.f64 beta -2) (+.f64 (pow.f64 beta 4) -16)) (+.f64 4 (.f64 beta beta)))
(*.f64 (/.f64 (+.f64 beta -2) (+.f64 (pow.f64 beta 4) -16)) (fma.f64 beta beta 4))
(.f64 (/.f64 (+.f64 beta -2) (-.f64 (pow.f64 (.f64 beta beta) 3) 64)) (+.f64 (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) 16) (.f64 4 (*.f64 beta beta))))
(.f64 (/.f64 (+.f64 beta -2) (+.f64 (pow.f64 beta 6) -64)) (+.f64 (pow.f64 beta 4) (+.f64 16 (.f64 4 (*.f64 beta beta)))))
(.f64 (/.f64 (+.f64 beta -2) (+.f64 (pow.f64 beta 6) -64)) (fma.f64 4 (.f64 beta beta) (+.f64 (pow.f64 beta 4) 16)))
(.f64 (/.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) 64)) (-.f64 (pow.f64 beta 3) 8))
(.f64 (+.f64 (pow.f64 beta 3) -8) (/.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (+.f64 (pow.f64 beta 6) -64)))
(*.f64 (+.f64 (pow.f64 beta 3) -8) (/.f64 (fma.f64 beta (+.f64 beta -2) 4) (+.f64 (pow.f64 beta 6) -64)))
(.f64 (/.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (+.f64 512 (pow.f64 (pow.f64 beta 3) 3))) (+.f64 (.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 64 (.f64 8 (pow.f64 beta 3)))))
(.f64 (/.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (+.f64 512 (pow.f64 (pow.f64 beta 3) 3))) (+.f64 (pow.f64 beta 6) (+.f64 64 (*.f64 -8 (pow.f64 beta 3)))))
(/.f64 (fma.f64 beta (+.f64 beta -2) 4) (/.f64 (+.f64 512 (pow.f64 (pow.f64 beta 3) 3)) (+.f64 64 (+.f64 (*.f64 (pow.f64 beta 3) -8) (pow.f64 beta 6)))))
(/.f64 (fma.f64 beta (+.f64 beta -2) 4) (/.f64 (+.f64 512 (pow.f64 (pow.f64 beta 3) 3)) (+.f64 64 (+.f64 (pow.f64 beta 6) (*.f64 (pow.f64 beta 3) -8)))))
(.f64 (/.f64 1 (-.f64 4 (.f64 beta beta))) (-.f64 2 beta))
(*.f64 (+.f64 beta -2) (/.f64 1 (fma.f64 beta beta -4)))
(/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))
(.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (sqrt.f64 (+.f64 8 (pow.f64 beta 3)))) (sqrt.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) 8))) (sqrt.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) 8))) (sqrt.f64 (fma.f64 beta (+.f64 beta -2) 4)))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (sqrt.f64 (fma.f64 beta beta -4))) (sqrt.f64 (+.f64 beta -2)))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 beta beta -4))) (+.f64 beta -2))
(*.f64 (+.f64 beta -2) (/.f64 1 (fma.f64 beta beta -4)))
(/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))
(.f64 (/.f64 -1 (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) 8)) (+.f64 (.f64 beta beta) (+.f64 4 (*.f64 beta -2))))
(/.f64 (fma.f64 beta (+.f64 beta -2) 4) (+.f64 (pow.f64 beta 3) 8))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (cbrt.f64 (+.f64 8 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) 8))) (cbrt.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) 8))) (cbrt.f64 (fma.f64 beta (+.f64 beta -2) 4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (cbrt.f64 (fma.f64 beta beta -4))) (cbrt.f64 (+.f64 beta -2)))
(pow.f64 (+.f64 beta 2) -1)
(/.f64 1 (+.f64 beta 2))
(pow.f64 (/.f64 1 (+.f64 beta 2)) 1)
(/.f64 1 (+.f64 beta 2))
(pow.f64 (pow.f64 (+.f64 beta 2) -1/2) 2)
(/.f64 1 (+.f64 beta 2))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) 3)
(/.f64 1 (+.f64 beta 2))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))
(sqrt.f64 (pow.f64 (+.f64 beta 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta 2))))
(/.f64 1 (+.f64 beta 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta 2)))))
(/.f64 1 (+.f64 beta 2))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta 2))))
(/.f64 1 (+.f64 beta 2))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta 2))))
(/.f64 1 (+.f64 beta 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta 2))))
(/.f64 1 (+.f64 beta 2))

localize6.0ms (0.1%)

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

localize7.0ms (0.1%)

Compiler: Compiled 19 to 15 computations (21.1% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
✓	0.2b	(/.f64 4 (*.f64 alpha alpha))

Compiler

Compiled 50 to 31 computations (38% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	inf	(/.f64 4 (*.f64 alpha alpha))
2.0ms	alpha	@	0	(/.f64 4 (*.f64 alpha alpha))
0.0ms	alpha	@	0	(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
0.0ms	alpha	@	-inf	(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
0.0ms	alpha	@	inf	(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`associate-/r*`
928×	`*-commutative`
550×	`associate-/l*`
430×	`distribute-lft-in`
424×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	210	32
2	3008	32

Stop Event

1×	node limit

Counts

2 → 239

Calls

Call 1

Inputs
(/.f64 4 (*.f64 alpha alpha))
(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4 alpha) alpha) (+.f64 (/.f64 -2 alpha) (fma.f64 (/.f64 -1 alpha) 2 (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4 alpha) alpha) (+.f64 (/.f64 -2 alpha) (fma.f64 (/.f64 -2 alpha) 1 (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4 alpha) alpha) (+.f64 (/.f64 -2 alpha) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4 alpha) alpha) (+.f64 (/.f64 -2 alpha) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 alpha))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) (fma.f64 (/.f64 -1 alpha) 2 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 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simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1208×	`fma-def`
868×	`associate-r`
744×	`associate-/r*`
724×	`associate-/l*`
666×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	611	11197
1	1763	10119

Stop Event

1×	node limit

Counts

263 → 326

Calls

Call 1

Inputs
(/.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 4 (pow.f64 alpha 2))
(/.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 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 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 -2 alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 -2 alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha))) 1)
(*.f64 4 (pow.f64 alpha -2))
(.f64 4 (.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(*.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(.f64 2 (.f64 (/.f64 2 alpha) (/.f64 1 alpha)))
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha))
(*.f64 1 (/.f64 (/.f64 4 alpha) alpha))
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(/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))) (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))) (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (pow.f64 alpha 3))
(/.f64 (sqrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (.f64 (pow.f64 alpha -2) -4))) (/.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)) (sqrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (.f64 (pow.f64 alpha -2) -4)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3)))) (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (sqrt.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2)))) (/.f64 (pow.f64 alpha 3) (sqrt.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (.f64 (pow.f64 alpha -2) -4))) (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (.f64 (pow.f64 alpha -2) -4)))) (/.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)) (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (.f64 (pow.f64 alpha -2) -4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))))) (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (.f64 (cbrt.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2)))) (cbrt.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))))) (/.f64 (pow.f64 alpha 3) (cbrt.f64 (.f64 alpha (-.f64 4 (*.f64 alpha 2))))))
(/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (*.f64 alpha alpha)) alpha)
(/.f64 (.f64 (/.f64 16 (pow.f64 alpha 4)) (-.f64 (/.f64 16 (pow.f64 alpha 4)) 1)) (.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 (-.f64 (.f64 (.f64 4 alpha) (.f64 4 alpha)) (.f64 (.f64 alpha (.f64 alpha 2)) (.f64 alpha (.f64 alpha 2)))) (.f64 (pow.f64 alpha 3) (.f64 alpha (+.f64 4 (*.f64 alpha 2)))))
(/.f64 (.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) 1)) (.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))) (+.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (pow.f64 (/.f64 -2 alpha) 3)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (-.f64 (neg.f64 (*.f64 (pow.f64 alpha -2) -4)) (/.f64 -8 (pow.f64 alpha 3)))))
(/.f64 (+.f64 (pow.f64 (/.f64 16 (pow.f64 alpha 4)) 3) (.f64 -64 (pow.f64 (pow.f64 alpha -2) 3))) (.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)) (+.f64 (*.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)))))
(/.f64 (-.f64 (pow.f64 (.f64 4 alpha) 3) (pow.f64 (.f64 alpha (.f64 alpha 2)) 3)) (.f64 (pow.f64 alpha 3) (+.f64 (.f64 (.f64 4 alpha) (.f64 4 alpha)) (.f64 (.f64 alpha (.f64 alpha 2)) (.f64 alpha (+.f64 4 (.f64 alpha 2)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) 3) (pow.f64 (/.f64 8 (pow.f64 alpha 3)) 3)) (.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))) (+.f64 (.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (*.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3)))))))
(/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)
(/.f64 (-.f64 (.f64 4 (.f64 alpha 1/2)) (.f64 alpha alpha)) (.f64 (.f64 alpha alpha) (.f64 alpha 1/2)))
(/.f64 (-.f64 alpha (.f64 2 (.f64 (/.f64 alpha 4) alpha))) (.f64 alpha (.f64 (/.f64 alpha 4) alpha)))
(/.f64 (-.f64 (.f64 alpha 1/2) (.f64 (/.f64 alpha 4) alpha)) (.f64 (.f64 (/.f64 alpha 4) alpha) (*.f64 alpha 1/2)))
(/.f64 (+.f64 (neg.f64 alpha) (.f64 (.f64 (.f64 alpha alpha) -1/4) -2)) (.f64 (*.f64 (/.f64 alpha 4) alpha) (neg.f64 alpha)))
(/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) (*.f64 alpha alpha))
(/.f64 (-.f64 (.f64 (/.f64 4 alpha) (.f64 alpha 1/2)) alpha) (.f64 alpha (.f64 alpha 1/2)))
(/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (+.f64 (.f64 alpha -4) (.f64 alpha (*.f64 alpha 2))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (+.f64 (.f64 (.f64 alpha 1/2) -4) (.f64 alpha alpha)) (.f64 (.f64 alpha 1/2) (.f64 alpha (neg.f64 alpha))))
(/.f64 (+.f64 (.f64 -4 (neg.f64 alpha)) (.f64 (*.f64 alpha alpha) -2)) (neg.f64 (neg.f64 (pow.f64 alpha 3))))
(/.f64 (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (pow.f64 alpha -2) -4))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (neg.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2)))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) alpha) (*.f64 alpha alpha))
(/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) 1) (pow.f64 alpha 3))
(/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (cbrt.f64 (pow.f64 alpha 4))) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (.f64 alpha (sqrt.f64 alpha))) (.f64 alpha (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (pow.f64 alpha -2) -4)) 1) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (pow.f64 alpha -2) -4)) (sqrt.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))) (sqrt.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (.f64 (pow.f64 alpha -2) -4)) (.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))) (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))) 1) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))) (sqrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))))) (sqrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3))))))) (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (sqrt.f64 (pow.f64 alpha 3))) (sqrt.f64 (pow.f64 alpha 3)))
(/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (.f64 (.f64 alpha alpha) (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (.f64 (.f64 alpha alpha) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (*.f64 alpha alpha)) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (*.f64 alpha alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (*.f64 alpha alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (*.f64 alpha alpha)) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) 1) alpha)
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (.f64 4 (.f64 alpha 1/2)) (.f64 alpha alpha)) (.f64 alpha alpha)) (*.f64 alpha 1/2))
(/.f64 (/.f64 (neg.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2)))) (*.f64 alpha alpha)) (neg.f64 alpha))
(/.f64 (/.f64 (-.f64 alpha (.f64 2 (.f64 (/.f64 alpha 4) alpha))) (*.f64 (/.f64 alpha 4) alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 alpha 1/2) (.f64 (/.f64 alpha 4) alpha)) (.f64 (/.f64 alpha 4) alpha)) (.f64 alpha 1/2))
(/.f64 (/.f64 (+.f64 (neg.f64 alpha) (.f64 (.f64 (.f64 alpha alpha) -1/4) -2)) (.f64 (/.f64 alpha 4) alpha)) (neg.f64 alpha))
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) alpha) alpha)
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) (sqrt.f64 alpha)) (*.f64 alpha (sqrt.f64 alpha)))
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 alpha (cbrt.f64 alpha)))
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (.f64 alpha 1/2)) alpha) alpha) (*.f64 alpha 1/2))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) alpha) (neg.f64 alpha))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) 1) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) (cbrt.f64 (pow.f64 alpha 4))) (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) (neg.f64 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) (sqrt.f64 (.f64 alpha (neg.f64 alpha)))) (sqrt.f64 (.f64 alpha (neg.f64 alpha))))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) (.f64 (cbrt.f64 (.f64 alpha (neg.f64 alpha))) (cbrt.f64 (.f64 alpha (neg.f64 alpha))))) (cbrt.f64 (.f64 alpha (neg.f64 alpha))))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) -1) (*.f64 alpha alpha))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) (neg.f64 (cbrt.f64 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (+.f64 (.f64 alpha -4) (.f64 alpha (.f64 alpha 2))) (.f64 alpha (neg.f64 alpha))) alpha)
(/.f64 (/.f64 (+.f64 (.f64 (.f64 alpha 1/2) -4) (.f64 alpha alpha)) (.f64 alpha (neg.f64 alpha))) (*.f64 alpha 1/2))
(/.f64 (/.f64 (+.f64 (.f64 -4 (neg.f64 alpha)) (.f64 (.f64 alpha alpha) -2)) (.f64 alpha (neg.f64 alpha))) (neg.f64 alpha))
(pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (pow.f64 alpha -2) -4)) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))))))
(neg.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (neg.f64 (pow.f64 alpha 3))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(fma.f64 4 (pow.f64 alpha -2) (/.f64 -2 alpha))
(fma.f64 (/.f64 2 alpha) (/.f64 2 alpha) (/.f64 -2 alpha))
(fma.f64 1 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -2 alpha))
(fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (/.f64 -2 alpha))

Outputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 -2 alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 -2 alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha))) 1)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(.f64 4 (.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(.f64 2 (.f64 (/.f64 2 alpha) (/.f64 1 alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 1 (/.f64 (/.f64 4 alpha) alpha))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(.f64 (sqrt.f64 (/.f64 2 alpha)) (.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(.f64 (cbrt.f64 (/.f64 2 alpha)) (.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))))
(.f64 (/.f64 2 alpha) (.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha))))
(.f64 (/.f64 2 alpha) (.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2))))
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(fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (/.f64 -2 alpha))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 -2 alpha))

localize46.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.9b	(.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha))
✓	4.4b	(.f64 (neg.f64 alpha) (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
✓	4.8b	(+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (.f64 (neg.f64 alpha) (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
✓	17.3b	(/.f64 (+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (.f64 (neg.f64 alpha) (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (.f64 (neg.f64 alpha) (.f64 alpha alpha)))

Compiler

Compiled 173 to 75 computations (56.6% saved)

series10.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite108.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`associate-+l+`
574×	`associate-+r+`
422×	`add-sqr-sqrt`
412×	`pow1`
412×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	204
1	401	138
2	6616	130

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) (/.f64 1 (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (.f64 (sqrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (/.f64 1 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) alpha)) alpha) (/.f64 (sqrt.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) 2) (.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (/.f64 1 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) alpha) (pow.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) alpha) 2) (/.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) alpha) (/.f64 1 (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 alpha 3)) (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (/.f64 1 (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 alpha) (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 alpha (sqrt.f64 alpha))) (/.f64 (.f64 (fma.f64 2 beta 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (.f64 alpha (+.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) 2) (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 0) (.f64 alpha (+.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (exp.f64 (log1p.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 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(pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) 2) (/.f64 1 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (pow.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) 2) (.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (.f64 alpha (+.f64 beta (+.f64 beta 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 alpha) alpha) (fma.f64 2 beta 2)) (pow.f64 (exp.f64 (+.f64 beta (+.f64 beta 4))) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 2 beta 2) (.f64 alpha alpha) (.f64 alpha (+.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (+.f64 beta (+.f64 beta 4)) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 alpha alpha) (fma.f64 2 beta 2) (.f64 alpha (+.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta (+.f64 beta 4)) alpha (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (.f64 alpha (+.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 alpha (+.f64 beta (+.f64 beta 4))) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (.f64 alpha (+.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4)))) (sqrt.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4)))) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))) 2) (cbrt.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))) (.f64 alpha (+.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4)))) 2) (cbrt.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4)))) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 2 beta 2) alpha) alpha (.f64 alpha (+.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 alpha (+.f64 2 beta)) (fma.f64 2 beta 2) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) (.f64 alpha (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) (.f64 (+.f64 beta beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 alpha (+.f64 2 beta)) 2) (.f64 (.f64 alpha (+.f64 2 beta)) (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 alpha (+.f64 2 beta)) (+.f64 beta beta)) (.f64 (.f64 alpha (+.f64 2 beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 alpha (+.f64 2 beta)) (+.f64 2 beta)) (.f64 (.f64 alpha (+.f64 2 beta)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 alpha (+.f64 2 beta)) beta) (.f64 (.f64 alpha (+.f64 2 beta)) (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 alpha (+.f64 beta beta)) (.f64 alpha (+.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 beta beta) (.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 beta beta) (.f64 alpha (+.f64 2 beta))) (.f64 2 (.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 2 beta) (.f64 alpha (+.f64 2 beta))) (.f64 beta (.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 beta (.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 2 beta) (.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 beta beta) alpha) (.f64 alpha (+.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 alpha (+.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 alpha (+.f64 2 beta)) (-.f64 4 (+.f64 beta beta))) (+.f64 2 (.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 alpha (+.f64 2 beta)) (+.f64 beta (+.f64 beta 8))) (+.f64 (+.f64 beta beta) (-.f64 4 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 beta 4))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 alpha alpha) 2) (.f64 (.f64 alpha alpha) (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 alpha alpha) (+.f64 beta beta)) (.f64 (.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 alpha alpha) (+.f64 2 beta)) (.f64 (.f64 alpha alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 alpha alpha) beta) (.f64 (.f64 alpha alpha) (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 alpha alpha)) (.f64 (+.f64 beta beta) (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 beta beta) (.f64 alpha alpha)) (.f64 2 (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 2 beta) (.f64 alpha alpha)) (.f64 beta (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 beta (.f64 alpha alpha)) (.f64 (+.f64 2 beta) (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 alpha alpha) (-.f64 4 (+.f64 beta beta))) (+.f64 2 (.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 beta 8))) (+.f64 (+.f64 beta beta) (-.f64 4 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (+.f64 beta beta)) (.f64 alpha alpha)) (+.f64 2 (.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 beta (+.f64 beta 8)) (.f64 alpha alpha)) (+.f64 (+.f64 beta beta) (-.f64 4 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 alpha) alpha) (fma.f64 2 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))))))))

simplify132.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

940×	`+-commutative`
938×	`associate--r+`
734×	`associate-r`
642×	`fma-def`
552×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	381	10050
1	1156	9198
2	6199	9198

Stop Event

1×	node limit

Counts

236 → 292

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)) (pow.f64 alpha 3))) (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 alpha) (.f64 2 alpha)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 alpha) (.f64 2 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 alpha) (.f64 2 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 alpha) (.f64 2 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 alpha) (.f64 2 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 alpha) (.f64 2 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 alpha) (.f64 -4 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) beta) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 alpha) (.f64 -4 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) beta) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 alpha) (.f64 -4 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) beta) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 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 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 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 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 -4 alpha) (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 4 alpha) (.f64 2 alpha))) (*.f64 2 (pow.f64 alpha 2))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 -4 alpha) (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 4 alpha) (.f64 2 alpha))) (*.f64 2 (pow.f64 alpha 2)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 -4 alpha) (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 4 alpha) (.f64 2 alpha))) (*.f64 2 (pow.f64 alpha 2)))))))
(.f64 -2 (.f64 (pow.f64 beta 2) alpha))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 4 alpha) (.f64 2 alpha))) (*.f64 2 (pow.f64 alpha 2)))))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 -4 alpha) (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 4 alpha) (.f64 2 alpha))) (*.f64 2 (pow.f64 alpha 2)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 -4 alpha) (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 4 alpha) (.f64 2 alpha))) (*.f64 2 (pow.f64 alpha 2)))))))
(.f64 -2 (.f64 (pow.f64 beta 2) alpha))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 -2 alpha) (.f64 -4 alpha))) (.f64 -2 (pow.f64 alpha 2))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 -4 alpha) (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 -2 alpha) (.f64 -4 alpha))) (.f64 -2 (pow.f64 alpha 2))))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 -4 alpha) (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 -2 alpha) (.f64 -4 alpha))) (.f64 -2 (pow.f64 alpha 2))))))))
(.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha)))
(+.f64 (.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2)) (.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha))))
(+.f64 (.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2)) (.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha))))
(+.f64 (.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2)) (.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha))))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(+.f64 (.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha))) (.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha))) (.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha))) (.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2)))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(+.f64 (.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha))) (.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha))) (.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha))) (.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2)))
(.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha)))
(.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha)))
(.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha)))
(.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha)))
(.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha)))
(.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha)))
(.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha)))
(.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha)))
(.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha)))
(.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha)))
(.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha)))
(.f64 -1 (.f64 (+.f64 2 (.f64 2 beta)) (.f64 (+.f64 beta 2) alpha)))
(*.f64 -4 alpha)
(+.f64 (.f64 -4 alpha) (.f64 -1 (.f64 beta (+.f64 (.f64 4 alpha) (*.f64 2 alpha)))))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 -4 alpha) (.f64 -1 (.f64 beta (+.f64 (.f64 4 alpha) (*.f64 2 alpha))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 -4 alpha) (.f64 -1 (.f64 beta (+.f64 (.f64 4 alpha) (*.f64 2 alpha))))))
(.f64 -2 (.f64 (pow.f64 beta 2) alpha))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (.f64 -1 (.f64 beta (+.f64 (.f64 4 alpha) (.f64 2 alpha)))))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 -4 alpha) (.f64 -1 (.f64 beta (+.f64 (.f64 4 alpha) (*.f64 2 alpha))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 -4 alpha) (.f64 -1 (.f64 beta (+.f64 (.f64 4 alpha) (*.f64 2 alpha))))))
(.f64 -2 (.f64 (pow.f64 beta 2) alpha))
(+.f64 (.f64 (+.f64 (.f64 -2 alpha) (.f64 -4 alpha)) beta) (.f64 -2 (*.f64 (pow.f64 beta 2) alpha)))
(+.f64 (.f64 (+.f64 (.f64 -2 alpha) (.f64 -4 alpha)) beta) (+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (.f64 -4 alpha)))
(+.f64 (.f64 (+.f64 (.f64 -2 alpha) (.f64 -4 alpha)) beta) (+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (.f64 -4 alpha)))
(*.f64 2 (pow.f64 alpha 2))
(+.f64 (.f64 2 (.f64 beta (pow.f64 alpha 2))) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (.f64 2 (.f64 beta (pow.f64 alpha 2))) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (.f64 2 (.f64 beta (pow.f64 alpha 2))) (*.f64 2 (pow.f64 alpha 2)))
(.f64 2 (.f64 beta (pow.f64 alpha 2)))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 2 (*.f64 beta (pow.f64 alpha 2))))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 2 (*.f64 beta (pow.f64 alpha 2))))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 2 (*.f64 beta (pow.f64 alpha 2))))
(.f64 2 (.f64 beta (pow.f64 alpha 2)))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 2 (*.f64 beta (pow.f64 alpha 2))))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 2 (*.f64 beta (pow.f64 alpha 2))))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 2 (*.f64 beta (pow.f64 alpha 2))))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)))) 1)
(.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) (/.f64 1 (pow.f64 alpha 3)))
(.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)) 1)
(.f64 1 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)))
(.f64 (sqrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (.f64 (sqrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (/.f64 1 (pow.f64 alpha 3))))
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(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) 2) (.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (/.f64 1 (pow.f64 alpha 3))))
(.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) alpha) (pow.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) alpha) 2))
(.f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) alpha) 2) (/.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) alpha))
(.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) alpha) (/.f64 1 (*.f64 alpha alpha)))
(.f64 (/.f64 1 (pow.f64 alpha 3)) (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))))
(.f64 (neg.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (/.f64 1 (pow.f64 alpha 3)))
(.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) alpha))
(.f64 (/.f64 1 alpha) (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) (*.f64 alpha alpha)))
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(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) alpha) (/.f64 (sqrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (.f64 alpha alpha)))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) 2) (.f64 alpha alpha)) (/.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) alpha))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) 2) alpha) (/.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (.f64 alpha alpha)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) 2) 1) (/.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) (pow.f64 alpha 3)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) 2) (.f64 alpha (sqrt.f64 alpha))) (/.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (*.f64 alpha (sqrt.f64 alpha))))
(pow.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)) 1)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) alpha)) alpha) 2)
(pow.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) alpha) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 alpha 3) (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) -1)
(neg.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)))
(sqrt.f64 (pow.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)) 2))
(log.f64 (exp.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 3) (pow.f64 (pow.f64 alpha 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3))))
(exp.f64 (log.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3))))
(-.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) 2) (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))))
(-.f64 (+.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 0) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(-.f64 (+.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (exp.f64 (log1p.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))))) 1)
(-.f64 (+.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) (exp.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))))) 1)
(.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))
(.f64 (fma.f64 2 beta 2) (-.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))
(.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) 1)
(.f64 1 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) 2) (/.f64 1 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
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(.f64 (+.f64 (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (sqrt.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))))) (-.f64 (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (sqrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))))))
(/.f64 1 (/.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) 2) (.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (.f64 alpha (+.f64 beta (+.f64 beta 4))))) (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (pow.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) 3))))
(/.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) 2) (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (pow.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) 3)) (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) 2) (.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (.f64 alpha (+.f64 beta (+.f64 beta 4))))))
(/.f64 (neg.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) 2)) (neg.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (pow.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) 2) (.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (.f64 alpha (+.f64 beta (+.f64 beta 4)))))))
(/.f64 (-.f64 (pow.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) 2) (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) (.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (pow.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) 3)) (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 2 beta)))) 2) (.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (.f64 alpha (+.f64 beta (+.f64 beta 4))))))
(pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 1)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 2))
(log.f64 (exp.f64 (.f64 (fma.f64 2 beta 2) (+.f64 (.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 alpha) alpha) (fma.f64 2 beta 2)) (pow.f64 (exp.f64 (+.f64 beta (+.f64 beta 4))) alpha)))
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(pow.f64 (sqrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) 2)
(pow.f64 (cbrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) 3)
(pow.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 3) 1/3)
(neg.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(sqrt.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 beta 4))) alpha))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))))))
(cbrt.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 3))
(expm1.f64 (log1p.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))))
(exp.f64 (log.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))))
(exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4)))) 1))
(log1p.f64 (expm1.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))))
(+.f64 (.f64 (.f64 alpha alpha) 2) (.f64 (.f64 alpha alpha) (+.f64 beta beta)))
(+.f64 (.f64 (.f64 alpha alpha) (+.f64 beta beta)) (.f64 (.f64 alpha alpha) 2))
(+.f64 (.f64 (.f64 alpha alpha) (+.f64 2 beta)) (.f64 (.f64 alpha alpha) beta))
(+.f64 (.f64 (.f64 alpha alpha) beta) (.f64 (.f64 alpha alpha) (+.f64 2 beta)))
(+.f64 (.f64 2 (.f64 alpha alpha)) (.f64 (+.f64 beta beta) (.f64 alpha alpha)))
(+.f64 (.f64 (+.f64 beta beta) (.f64 alpha alpha)) (.f64 2 (.f64 alpha alpha)))
(+.f64 (.f64 (+.f64 2 beta) (.f64 alpha alpha)) (.f64 beta (.f64 alpha alpha)))
(+.f64 (.f64 beta (.f64 alpha alpha)) (.f64 (+.f64 2 beta) (.f64 alpha alpha)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))) 1)
(/.f64 (.f64 (.f64 alpha alpha) (-.f64 4 (+.f64 beta beta))) (+.f64 2 (*.f64 -2 beta)))
(/.f64 (.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 beta 8))) (+.f64 (+.f64 beta beta) (-.f64 4 (+.f64 beta beta))))
(/.f64 (.f64 (-.f64 4 (+.f64 beta beta)) (.f64 alpha alpha)) (+.f64 2 (*.f64 -2 beta)))
(/.f64 (.f64 (+.f64 beta (+.f64 beta 8)) (.f64 alpha alpha)) (+.f64 (+.f64 beta beta) (-.f64 4 (+.f64 beta beta))))
(pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 1)
(pow.f64 (*.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 alpha) alpha) (fma.f64 2 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))))
(exp.f64 (log.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))) 1))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))))

Outputs
(.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3)))
(neg.f64 (/.f64 (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)) (pow.f64 alpha 3)))
(/.f64 (neg.f64 (.f64 alpha (+.f64 (.f64 2 alpha) -4))) (pow.f64 alpha 3))
(/.f64 (neg.f64 (.f64 alpha (+.f64 -4 (.f64 2 alpha)))) (pow.f64 alpha 3))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)) (pow.f64 alpha 3))) (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 alpha) (.f64 2 alpha)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))))
(.f64 -1 (+.f64 (/.f64 (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)) (pow.f64 alpha 3)) (.f64 beta (fma.f64 -1 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 2 alpha)))))
(-.f64 (.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha))) (/.f64 (.f64 alpha (+.f64 (.f64 2 alpha) -4)) (pow.f64 alpha 3)))
(-.f64 (.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha))) (/.f64 (.f64 alpha (+.f64 -4 (.f64 2 alpha))) (pow.f64 alpha 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 alpha) (.f64 2 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 -1 (/.f64 (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)) (pow.f64 alpha 3)) (fma.f64 -1 (.f64 beta (fma.f64 -1 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 2 alpha))) (.f64 2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha)))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))) (/.f64 (.f64 alpha (+.f64 (*.f64 2 alpha) -4)) (pow.f64 alpha 3)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))) (/.f64 (.f64 alpha (+.f64 -4 (*.f64 2 alpha))) (pow.f64 alpha 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 alpha) (.f64 2 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 -1 (/.f64 (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)) (pow.f64 alpha 3)) (fma.f64 -1 (.f64 beta (fma.f64 -1 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 2 alpha))) (.f64 2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha)))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))) (/.f64 (.f64 alpha (+.f64 (*.f64 2 alpha) -4)) (pow.f64 alpha 3)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))) (/.f64 (.f64 alpha (+.f64 -4 (*.f64 2 alpha))) (pow.f64 alpha 3)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(.f64 2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))
(+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 alpha) (.f64 2 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 -1 (.f64 beta (fma.f64 -1 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 2 alpha))) (.f64 2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha))))
(fma.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (*.f64 alpha alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 alpha) (.f64 2 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (.f64 alpha alpha))) (fma.f64 -1 (.f64 beta (fma.f64 -1 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 2 alpha))) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 -4 (.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))) (-.f64 (/.f64 -2 alpha) (/.f64 -4 (.f64 alpha alpha))))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 alpha) (.f64 2 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (.f64 alpha alpha))) (fma.f64 -1 (.f64 beta (fma.f64 -1 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 2 alpha))) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 -4 (.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))) (-.f64 (/.f64 -2 alpha) (/.f64 -4 (.f64 alpha alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(.f64 2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))
(+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 alpha) (.f64 -4 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) beta) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 -1 (.f64 beta (fma.f64 -1 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 2 alpha))) (.f64 2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha))))
(fma.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (*.f64 alpha alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 alpha) (.f64 -4 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) beta) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (.f64 alpha alpha))) (fma.f64 -1 (.f64 beta (fma.f64 -1 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 2 alpha))) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 -4 (.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))) (-.f64 (/.f64 -2 alpha) (/.f64 -4 (.f64 alpha alpha))))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 alpha) (.f64 -4 alpha)) (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) beta) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (.f64 alpha alpha))) (fma.f64 -1 (.f64 beta (fma.f64 -1 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 2 alpha))) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 -4 (.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 (.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))) (-.f64 (/.f64 -2 alpha) (/.f64 -4 (.f64 alpha alpha))))
(/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (fma.f64 2 beta 2) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))
(.f64 (/.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (+.f64 2 beta))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (fma.f64 2 beta 2) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(-.f64 (.f64 (/.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (fma.f64 2 beta 2) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(-.f64 (.f64 (/.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (fma.f64 2 beta 2) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(-.f64 (.f64 (/.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (fma.f64 2 beta 2) alpha))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))
(/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (fma.f64 2 beta 2) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(-.f64 (.f64 (/.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (fma.f64 2 beta 2) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(-.f64 (.f64 (/.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (fma.f64 2 beta 2) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(-.f64 (.f64 (/.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (fma.f64 2 beta 2) alpha))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))
(/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (fma.f64 2 beta 2) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(-.f64 (.f64 (/.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (fma.f64 2 beta 2) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(-.f64 (.f64 (/.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (fma.f64 2 beta 2) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(-.f64 (.f64 (/.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha))
(fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4))
(.f64 alpha (+.f64 (.f64 2 alpha) -4))
(.f64 alpha (+.f64 -4 (.f64 2 alpha)))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 -4 alpha) (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 4 alpha) (.f64 2 alpha))) (*.f64 2 (pow.f64 alpha 2))))))
(fma.f64 2 (.f64 alpha alpha) (fma.f64 -4 alpha (.f64 beta (fma.f64 -1 (.f64 alpha 6) (.f64 2 (*.f64 alpha alpha))))))
(fma.f64 2 (.f64 alpha alpha) (fma.f64 beta (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -6)) (.f64 alpha -4)))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 -4 alpha) (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 4 alpha) (.f64 2 alpha))) (*.f64 2 (pow.f64 alpha 2)))))))
(fma.f64 -2 (.f64 alpha (.f64 beta beta)) (fma.f64 2 (.f64 alpha alpha) (fma.f64 -4 alpha (.f64 beta (fma.f64 -1 (.f64 alpha 6) (.f64 2 (*.f64 alpha alpha)))))))
(fma.f64 -2 (.f64 alpha (.f64 beta beta)) (fma.f64 2 (.f64 alpha alpha) (fma.f64 beta (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -6)) (.f64 alpha -4))))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 -4 alpha) (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 4 alpha) (.f64 2 alpha))) (*.f64 2 (pow.f64 alpha 2)))))))
(fma.f64 -2 (.f64 alpha (.f64 beta beta)) (fma.f64 2 (.f64 alpha alpha) (fma.f64 -4 alpha (.f64 beta (fma.f64 -1 (.f64 alpha 6) (.f64 2 (*.f64 alpha alpha)))))))
(fma.f64 -2 (.f64 alpha (.f64 beta beta)) (fma.f64 2 (.f64 alpha alpha) (fma.f64 beta (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -6)) (.f64 alpha -4))))
(.f64 -2 (.f64 (pow.f64 beta 2) alpha))
(.f64 -2 (.f64 alpha (*.f64 beta beta)))
(.f64 alpha (.f64 (*.f64 beta beta) -2))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 4 alpha) (.f64 2 alpha))) (*.f64 2 (pow.f64 alpha 2)))))
(fma.f64 -2 (.f64 alpha (.f64 beta beta)) (.f64 beta (fma.f64 -1 (.f64 alpha 6) (.f64 2 (.f64 alpha alpha)))))
(fma.f64 beta (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -6)) (.f64 alpha (.f64 (*.f64 beta beta) -2)))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 -4 alpha) (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 4 alpha) (.f64 2 alpha))) (*.f64 2 (pow.f64 alpha 2)))))))
(fma.f64 -2 (.f64 alpha (.f64 beta beta)) (fma.f64 2 (.f64 alpha alpha) (fma.f64 -4 alpha (.f64 beta (fma.f64 -1 (.f64 alpha 6) (.f64 2 (*.f64 alpha alpha)))))))
(fma.f64 -2 (.f64 alpha (.f64 beta beta)) (fma.f64 2 (.f64 alpha alpha) (fma.f64 beta (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -6)) (.f64 alpha -4))))
(+.f64 (.f64 -2 (.f64 (pow.f64 beta 2) alpha)) (+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 -4 alpha) (.f64 beta (+.f64 (.f64 -1 (+.f64 (.f64 4 alpha) (.f64 2 alpha))) (*.f64 2 (pow.f64 alpha 2)))))))
(fma.f64 -2 (.f64 alpha (.f64 beta beta)) (fma.f64 2 (.f64 alpha alpha) (fma.f64 -4 alpha (.f64 beta (fma.f64 -1 (.f64 alpha 6) (.f64 2 (*.f64 alpha alpha)))))))
(fma.f64 -2 (.f64 alpha (.f64 beta beta)) (fma.f64 2 (.f64 alpha alpha) (fma.f64 beta (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -6)) (.f64 alpha -4))))
(.f64 -2 (.f64 (pow.f64 beta 2) alpha))
(.f64 -2 (.f64 alpha (*.f64 beta beta)))
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(.f64 alpha (.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 2 beta 2)))
(.f64 alpha (.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 2 beta 2)))
(+.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) (.f64 alpha (+.f64 beta beta)))
(*.f64 alpha (+.f64 (+.f64 beta (+.f64 beta 4)) (+.f64 beta beta)))
(*.f64 alpha (fma.f64 2 beta (fma.f64 2 beta 4)))
(+.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4))) (.f64 (+.f64 beta beta) alpha))
(*.f64 alpha (+.f64 (+.f64 beta (+.f64 beta 4)) (+.f64 beta beta)))
(*.f64 alpha (fma.f64 2 beta (fma.f64 2 beta 4)))
(+.f64 (.f64 (.f64 alpha (+.f64 2 beta)) 2) (.f64 (.f64 alpha (+.f64 2 beta)) (+.f64 beta beta)))
(.f64 (fma.f64 2 beta 2) (.f64 alpha (+.f64 2 beta)))
(.f64 (+.f64 2 beta) (.f64 alpha (fma.f64 2 beta 2)))
(+.f64 (.f64 (.f64 alpha (+.f64 2 beta)) (+.f64 beta beta)) (.f64 (.f64 alpha (+.f64 2 beta)) 2))
(.f64 (fma.f64 2 beta 2) (.f64 alpha (+.f64 2 beta)))
(.f64 (+.f64 2 beta) (.f64 alpha (fma.f64 2 beta 2)))
(+.f64 (.f64 (.f64 alpha (+.f64 2 beta)) (+.f64 2 beta)) (.f64 (.f64 alpha (+.f64 2 beta)) beta))
(.f64 (fma.f64 2 beta 2) (.f64 alpha (+.f64 2 beta)))
(.f64 (+.f64 2 beta) (.f64 alpha (fma.f64 2 beta 2)))
(+.f64 (.f64 (.f64 alpha (+.f64 2 beta)) beta) (.f64 (.f64 alpha (+.f64 2 beta)) (+.f64 2 beta)))
(.f64 (fma.f64 2 beta 2) (.f64 alpha (+.f64 2 beta)))
(.f64 (+.f64 2 beta) (.f64 alpha (fma.f64 2 beta 2)))
(+.f64 (.f64 alpha (+.f64 beta beta)) (.f64 alpha (+.f64 beta (+.f64 beta 4))))
(*.f64 alpha (+.f64 (+.f64 beta (+.f64 beta 4)) (+.f64 beta beta)))
(*.f64 alpha (fma.f64 2 beta (fma.f64 2 beta 4)))
(+.f64 (.f64 2 (.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 beta beta) (.f64 alpha (+.f64 2 beta))))
(.f64 (fma.f64 2 beta 2) (.f64 alpha (+.f64 2 beta)))
(.f64 (+.f64 2 beta) (.f64 alpha (fma.f64 2 beta 2)))
(+.f64 (.f64 (+.f64 beta beta) (.f64 alpha (+.f64 2 beta))) (.f64 2 (.f64 alpha (+.f64 2 beta))))
(.f64 (fma.f64 2 beta 2) (.f64 alpha (+.f64 2 beta)))
(.f64 (+.f64 2 beta) (.f64 alpha (fma.f64 2 beta 2)))
(+.f64 (.f64 (+.f64 2 beta) (.f64 alpha (+.f64 2 beta))) (.f64 beta (.f64 alpha (+.f64 2 beta))))
(.f64 (fma.f64 2 beta 2) (.f64 alpha (+.f64 2 beta)))
(.f64 (+.f64 2 beta) (.f64 alpha (fma.f64 2 beta 2)))
(+.f64 (.f64 beta (.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 2 beta) (.f64 alpha (+.f64 2 beta))))
(.f64 (fma.f64 2 beta 2) (.f64 alpha (+.f64 2 beta)))
(.f64 (+.f64 2 beta) (.f64 alpha (fma.f64 2 beta 2)))
(+.f64 (.f64 (+.f64 beta beta) alpha) (.f64 alpha (+.f64 beta (+.f64 beta 4))))
(*.f64 alpha (+.f64 (+.f64 beta (+.f64 beta 4)) (+.f64 beta beta)))
(*.f64 alpha (fma.f64 2 beta (fma.f64 2 beta 4)))
(-.f64 0 (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(*.f64 alpha (neg.f64 (+.f64 beta (+.f64 beta 4))))
(.f64 alpha (+.f64 (.f64 beta -2) -4))
(.f64 alpha (+.f64 -4 (.f64 beta -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))))) 1)
(*.f64 alpha (+.f64 beta (+.f64 beta 4)))
(*.f64 alpha (fma.f64 2 beta 4))
(/.f64 (.f64 (.f64 alpha (+.f64 2 beta)) (-.f64 4 (+.f64 beta beta))) (+.f64 2 (*.f64 -2 beta)))
(/.f64 (.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 2 (.f64 beta -2)) (-.f64 4 (+.f64 beta beta))))
(/.f64 alpha (/.f64 (/.f64 (fma.f64 beta -2 2) (+.f64 4 (*.f64 beta -2))) (+.f64 2 beta)))
(/.f64 (.f64 (.f64 alpha (+.f64 2 beta)) (+.f64 beta (+.f64 beta 8))) (+.f64 (+.f64 beta beta) (-.f64 4 (+.f64 beta beta))))
(/.f64 (*.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 (+.f64 beta beta) (-.f64 4 (+.f64 beta beta))) (+.f64 beta (+.f64 beta 8))))
(.f64 (/.f64 (.f64 alpha (+.f64 2 beta)) (+.f64 (fma.f64 2 beta 4) (*.f64 beta -2))) (fma.f64 2 beta 8))
(pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 1)
(*.f64 alpha (+.f64 beta (+.f64 beta 4)))
(*.f64 alpha (fma.f64 2 beta 4))
(pow.f64 (sqrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) 2)
(*.f64 alpha (+.f64 beta (+.f64 beta 4)))
(*.f64 alpha (fma.f64 2 beta 4))
(pow.f64 (cbrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) 3)
(*.f64 alpha (+.f64 beta (+.f64 beta 4)))
(*.f64 alpha (fma.f64 2 beta 4))
(pow.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 3) 1/3)
(*.f64 alpha (+.f64 beta (+.f64 beta 4)))
(*.f64 alpha (fma.f64 2 beta 4))
(neg.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(*.f64 alpha (neg.f64 (+.f64 beta (+.f64 beta 4))))
(.f64 alpha (+.f64 (.f64 beta -2) -4))
(.f64 alpha (+.f64 -4 (.f64 beta -2)))
(sqrt.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 2))
(fabs.f64 (*.f64 alpha (fma.f64 2 beta 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 beta 4))) alpha))
(*.f64 alpha (+.f64 beta (+.f64 beta 4)))
(*.f64 alpha (fma.f64 2 beta 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))))))
(*.f64 alpha (+.f64 beta (+.f64 beta 4)))
(*.f64 alpha (fma.f64 2 beta 4))
(cbrt.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 3))
(*.f64 alpha (+.f64 beta (+.f64 beta 4)))
(*.f64 alpha (fma.f64 2 beta 4))
(expm1.f64 (log1p.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))))
(*.f64 alpha (+.f64 beta (+.f64 beta 4)))
(*.f64 alpha (fma.f64 2 beta 4))
(exp.f64 (log.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))))
(*.f64 alpha (+.f64 beta (+.f64 beta 4)))
(*.f64 alpha (fma.f64 2 beta 4))
(exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 beta (+.f64 beta 4)))) 1))
(*.f64 alpha (+.f64 beta (+.f64 beta 4)))
(*.f64 alpha (fma.f64 2 beta 4))
(log1p.f64 (expm1.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))))
(*.f64 alpha (+.f64 beta (+.f64 beta 4)))
(*.f64 alpha (fma.f64 2 beta 4))
(+.f64 (.f64 (.f64 alpha alpha) 2) (.f64 (.f64 alpha alpha) (+.f64 beta beta)))
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(+.f64 (.f64 (.f64 alpha alpha) (+.f64 beta beta)) (.f64 (.f64 alpha alpha) 2))
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(+.f64 (.f64 (.f64 alpha alpha) (+.f64 2 beta)) (.f64 (.f64 alpha alpha) beta))
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(+.f64 (.f64 (.f64 alpha alpha) beta) (.f64 (.f64 alpha alpha) (+.f64 2 beta)))
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(+.f64 (.f64 2 (.f64 alpha alpha)) (.f64 (+.f64 beta beta) (.f64 alpha alpha)))
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(+.f64 (.f64 (+.f64 beta beta) (.f64 alpha alpha)) (.f64 2 (.f64 alpha alpha)))
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(+.f64 (.f64 (+.f64 2 beta) (.f64 alpha alpha)) (.f64 beta (.f64 alpha alpha)))
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(+.f64 (.f64 beta (.f64 alpha alpha)) (.f64 (+.f64 2 beta) (.f64 alpha alpha)))
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))) 1)
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(/.f64 (.f64 (.f64 alpha alpha) (-.f64 4 (+.f64 beta beta))) (+.f64 2 (*.f64 -2 beta)))
(/.f64 (.f64 alpha alpha) (/.f64 (+.f64 2 (.f64 beta -2)) (-.f64 4 (+.f64 beta beta))))
(/.f64 (.f64 alpha alpha) (/.f64 (fma.f64 beta -2 2) (+.f64 4 (.f64 beta -2))))
(/.f64 (.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 beta 8))) (+.f64 (+.f64 beta beta) (-.f64 4 (+.f64 beta beta))))
(/.f64 (*.f64 alpha alpha) (/.f64 (+.f64 (+.f64 beta beta) (-.f64 4 (+.f64 beta beta))) (+.f64 beta (+.f64 beta 8))))
(.f64 (/.f64 (.f64 alpha alpha) (+.f64 (fma.f64 2 beta 4) (*.f64 beta -2))) (fma.f64 2 beta 8))
(/.f64 (.f64 (-.f64 4 (+.f64 beta beta)) (.f64 alpha alpha)) (+.f64 2 (*.f64 -2 beta)))
(/.f64 (.f64 alpha alpha) (/.f64 (+.f64 2 (.f64 beta -2)) (-.f64 4 (+.f64 beta beta))))
(/.f64 (.f64 alpha alpha) (/.f64 (fma.f64 beta -2 2) (+.f64 4 (.f64 beta -2))))
(/.f64 (.f64 (+.f64 beta (+.f64 beta 8)) (.f64 alpha alpha)) (+.f64 (+.f64 beta beta) (-.f64 4 (+.f64 beta beta))))
(/.f64 (*.f64 alpha alpha) (/.f64 (+.f64 (+.f64 beta beta) (-.f64 4 (+.f64 beta beta))) (+.f64 beta (+.f64 beta 8))))
(.f64 (/.f64 (.f64 alpha alpha) (+.f64 (fma.f64 2 beta 4) (*.f64 beta -2))) (fma.f64 2 beta 8))
(pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 1)
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(pow.f64 (*.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))) 3)
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(pow.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) 1/3)
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 alpha) alpha) (fma.f64 2 beta 2)))
(*.f64 (fma.f64 2 beta 2) (log.f64 (pow.f64 (exp.f64 alpha) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))))
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3))
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))))
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(exp.f64 (log.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))))
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))) 1))
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))))
(.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))

eval538.0ms (5.3%)

Compiler: Compiled 26584 to 18933 computations (28.8% saved)

prune352.0ms (3.5%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	993	2	995
Fresh	0	9	9
Picked	1	0	1
Done	1	6	7
Total	995	17	1012

Error

Counts

1012 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	45.9b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	49.5b	(/.f64 (/.f64 2 alpha) 2)
	33.7b	(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))) 2)
✓	43.7b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	32.4b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	16.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	16.9b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
	42.2b	(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
	45.9b	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
	35.0b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
▶	44.0b	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	33.7b	(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))))) 2)
▶	58.3b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
▶	50.7b	(/.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 2)
▶	59.3b	(/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (.f64 alpha -4)) (.f64 (neg.f64 alpha) (.f64 alpha alpha)))) 2)
	47.0b	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 -2 beta -2) (neg.f64 alpha))))) 2)
✓	39.4b	(/.f64 2 2)

Compiler

Compiled 536 to 396 computations (26.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1378×	`associate-*r/`
948×	`associate-*l/`
902×	`associate-/r*`
796×	`*-commutative`
678×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	180	32
2	2431	32

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

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

simplify190.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1420×	`associate-/r/`
826×	`associate-+l+`
686×	`associate-+r+`
600×	`+-commutative`
492×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	7727
1	1123	6943
2	4260	6921

Stop Event

1×	node limit

Counts

163 → 257

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 1/2 alpha)
(+.f64 (.f64 1/2 alpha) (.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (.f64 -1/4 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1)
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (+.f64 1 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1))))
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (.f64 1 (-.f64 1 (.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 1 (.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) 1) (+.f64 1 (.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 1) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) 1) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) 1) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha)))))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(+.f64 (.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) alpha) (.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) -2))
(+.f64 (.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (.f64 alpha alpha)) (.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (.f64 -2 alpha))))
(+.f64 (.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (.f64 -2 alpha))) (.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (.f64 alpha alpha)))
(+.f64 (.f64 alpha (/.f64 alpha (fma.f64 alpha alpha -4))) (.f64 -2 (/.f64 alpha (fma.f64 alpha alpha -4))))
(+.f64 (.f64 (.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (.f64 (+.f64 4 (.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))))
(+.f64 (.f64 (+.f64 4 (.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (.f64 (.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))))
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (+.f64 alpha -2) (/.f64 alpha (fma.f64 alpha alpha -4)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)
(.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2))) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))))
(*.f64 (neg.f64 alpha) (/.f64 -1 (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (sqrt.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (sqrt.f64 alpha) 1))
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha 1) (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (.f64 alpha (+.f64 alpha -2)))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (.f64 alpha (+.f64 alpha -2))))
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))
(.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2))
(.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (.f64 alpha (+.f64 alpha -2))))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(.f64 (/.f64 alpha (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))
(.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2)))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(neg.f64 (/.f64 alpha (-.f64 -2 alpha)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))

Outputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(fma.f64 -1/2 alpha 1)
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 -1/2 alpha (.f64 1/4 (.f64 alpha alpha))))
(+.f64 1 (fma.f64 -1/2 alpha (.f64 alpha (.f64 alpha 1/4))))
(+.f64 1 (.f64 alpha (+.f64 -1/2 (.f64 alpha 1/4))))
(+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (.f64 1/4 (.f64 alpha alpha)))))
(+.f64 (fma.f64 -1/2 alpha (.f64 alpha (.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1))
(+.f64 (.f64 alpha (+.f64 -1/2 (.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.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 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.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 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(*.f64 1/2 alpha)
(*.f64 alpha 1/2)
(+.f64 (.f64 1/2 alpha) (.f64 -1/4 (pow.f64 alpha 2)))
(fma.f64 1/2 alpha (.f64 -1/4 (.f64 alpha alpha)))
(fma.f64 alpha 1/2 (.f64 alpha (.f64 alpha -1/4)))
(.f64 alpha (+.f64 1/2 (.f64 alpha -1/4)))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(fma.f64 1/2 alpha (fma.f64 1/8 (pow.f64 alpha 3) (.f64 -1/4 (.f64 alpha alpha))))
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 3) 1/8 (.f64 alpha (.f64 alpha -1/4))))
(fma.f64 alpha 1/2 (.f64 (.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8))))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (.f64 -1/4 (pow.f64 alpha 2)))))
(fma.f64 1/2 alpha (fma.f64 -1/16 (pow.f64 alpha 4) (fma.f64 1/8 (pow.f64 alpha 3) (.f64 -1/4 (.f64 alpha alpha)))))
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (fma.f64 (pow.f64 alpha 3) 1/8 (.f64 alpha (.f64 alpha -1/4)))))
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (.f64 (.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(+.f64 1 (/.f64 -2 alpha))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 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 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(+.f64 1 (/.f64 -2 alpha))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 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 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1)
(+.f64 1 (-.f64 0 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (-.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha 2))))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (+.f64 1 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (+.f64 1 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 1)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) 1))
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(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (.f64 alpha (+.f64 alpha -2)))))
(/.f64 (.f64 alpha (+.f64 -4 (.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3)))
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (.f64 alpha (+.f64 alpha -2))))
(.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (.f64 alpha (+.f64 alpha -2)))))
(/.f64 (.f64 alpha (+.f64 -4 (.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3)))
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (/.f64 alpha (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (.f64 alpha (+.f64 alpha -2)))))
(/.f64 (.f64 alpha (+.f64 -4 (.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3)))
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4)))
(.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 alpha (.f64 (sqrt.f64 (fma.f64 alpha alpha -4)) (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 alpha (.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 alpha (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)))) (cbrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 alpha (.f64 (cbrt.f64 (fma.f64 alpha alpha -4)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 (/.f64 alpha (cbrt.f64 (fma.f64 alpha alpha -4))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha -2)))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(neg.f64 (/.f64 alpha (-.f64 -2 alpha)))
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(fabs.f64 (/.f64 alpha (+.f64 alpha 2)))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`add-sqr-sqrt`
1674×	`*-un-lft-identity`
1574×	`add-cube-cbrt`
1558×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	177	20
2	2323	20

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-/r*`
1294×	`associate-/l*`
864×	`unswap-sqr`
712×	`*-commutative`
666×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	143	790
1	347	778
2	1783	778

Stop Event

1×	node limit

Counts

86 → 70

Calls

Call 1

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

Outputs
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1)
(/.f64 beta alpha)
(.f64 2 (.f64 (/.f64 beta alpha) 1/2))
(/.f64 beta alpha)
(.f64 2 (/.f64 1 (.f64 2 (/.f64 alpha beta))))
(/.f64 beta alpha)
(*.f64 beta (/.f64 1 alpha))
(/.f64 beta alpha)
(*.f64 (/.f64 beta alpha) 1)
(/.f64 beta alpha)
(.f64 (.f64 2 (/.f64 beta alpha)) 1/2)
(/.f64 beta alpha)
(*.f64 1 (/.f64 beta alpha))
(/.f64 beta alpha)
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)))
(/.f64 beta alpha)
(.f64 (sqrt.f64 (.f64 2 (/.f64 beta alpha))) (.f64 (sqrt.f64 (.f64 2 (/.f64 beta alpha))) 1/2))
(/.f64 beta alpha)
(.f64 (sqrt.f64 beta) (.f64 (sqrt.f64 beta) (/.f64 1 alpha)))
(/.f64 beta alpha)
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))
(/.f64 beta alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)))
(/.f64 beta alpha)
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 beta alpha))) 2) (.f64 (cbrt.f64 (.f64 2 (/.f64 beta alpha))) 1/2))
(/.f64 beta alpha)
(.f64 (pow.f64 (cbrt.f64 beta) 2) (.f64 (cbrt.f64 beta) (/.f64 1 alpha)))
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 beta alpha)
(.f64 1/2 (.f64 2 (/.f64 beta alpha)))
(/.f64 beta alpha)
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 alpha)))
(/.f64 beta alpha)
(.f64 (.f64 (/.f64 beta alpha) -2) -1/2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha)))
(/.f64 beta alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))
(/.f64 beta alpha)
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha))
(/.f64 beta alpha)
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)))
(/.f64 beta alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha))
(/.f64 beta alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)))
(/.f64 beta alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 beta alpha)))
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (cbrt.f64 (/.f64 beta alpha)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 beta) 2)))
(pow.f64 (/.f64 beta alpha) 1)
(/.f64 beta alpha)
(pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2)
(/.f64 beta alpha)
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3)
(/.f64 beta alpha)
(pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3)
(/.f64 beta alpha)
(pow.f64 (/.f64 alpha beta) -1)
(/.f64 beta alpha)
(neg.f64 (/.f64 beta (neg.f64 alpha)))
(/.f64 beta alpha)
(neg.f64 (/.f64 (*.f64 2 (/.f64 beta alpha)) -2))
(/.f64 beta alpha)
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2))
(fabs.f64 (/.f64 beta alpha))
(log.f64 (exp.f64 (/.f64 beta alpha)))
(/.f64 beta alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha))))
(/.f64 beta alpha)
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3))
(/.f64 beta alpha)
(expm1.f64 (log1p.f64 (/.f64 beta alpha)))
(/.f64 beta alpha)
(exp.f64 (log.f64 (/.f64 beta alpha)))
(/.f64 beta alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1))
(/.f64 beta alpha)
(log1p.f64 (expm1.f64 (/.f64 beta alpha)))
(/.f64 beta alpha)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) 1)
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(/.f64 2 (/.f64 alpha beta))
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(/.f64 1 (/.f64 alpha (*.f64 2 beta)))
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (*.f64 2 beta) alpha)
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (*.f64 2 (neg.f64 beta)) (neg.f64 alpha))
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (*.f64 (neg.f64 beta) 2) (neg.f64 alpha))
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (/.f64 (*.f64 2 beta) 1) alpha)
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(/.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha))
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3)
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3)
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 alpha) beta) 2))
(fabs.f64 (*.f64 beta (/.f64 2 alpha)))
(log.f64 (pow.f64 (exp.f64 (/.f64 beta alpha)) 2))
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))))
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3))
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))))
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 beta alpha))) 1))
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))
(*.f64 (/.f64 2 alpha) beta)
(*.f64 beta (/.f64 2 alpha))

localize60.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)

Compiler

Compiled 41 to 32 computations (22% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`associate-*l/`
1274×	`associate-/r*`
978×	`associate-/l*`
822×	`*-commutative`
416×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	186	19
2	2492	19

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

Inputs
(/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (/.f64 1 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (/.f64 -2 alpha) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 alpha) -2) (/.f64 4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (/.f64 -4 alpha)) (/.f64 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)) (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 (/.f64 4 alpha) -2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (/.f64 4 alpha) -2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 alpha) (+.f64 2 (/.f64 -4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) alpha) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2))) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) -4) (/.f64 1 alpha)) (+.f64 (/.f64 16 (*.f64 alpha alpha)) -4)) (+.f64 (/.f64 4 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) -4) (/.f64 1 alpha)) (+.f64 8 (/.f64 64 (pow.f64 alpha 3)))) (+.f64 (/.f64 16 (*.f64 alpha alpha)) (-.f64 4 (/.f64 8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8)) (-.f64 (/.f64 (/.f64 64 (pow.f64 alpha 3)) (*.f64 alpha 1/4)) (*.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 4 (/.f64 8 alpha))))) (-.f64 (/.f64 16 (*.f64 alpha alpha)) (+.f64 4 (/.f64 8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8)) (+.f64 (pow.f64 (/.f64 16 (*.f64 alpha alpha)) 3) (pow.f64 (+.f64 4 (/.f64 8 alpha)) 3))) (+.f64 (/.f64 (/.f64 64 (pow.f64 alpha 3)) (*.f64 alpha 1/4)) (*.f64 (+.f64 4 (/.f64 8 alpha)) (-.f64 (+.f64 4 (/.f64 8 alpha)) (/.f64 16 (*.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 (/.f64 4 alpha) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 -1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))))))

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1256×	`associate-*r/`
888×	`associate-*l/`
764×	`associate-/l*`
742×	`distribute-lft-in`
702×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	2203
1	455	2157
2	1659	1781
3	7605	1781

Stop Event

1×	node limit

Counts

71 → 78

Calls

Call 1

Inputs
(/.f64 4 (pow.f64 alpha 2))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 -2 alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 -2 alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))
(+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (/.f64 1 alpha) -2))
(+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (/.f64 -2 alpha) 1))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (.f64 (/.f64 1 alpha) -2) (/.f64 4 (.f64 alpha alpha)))
(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))) 1)
(*.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 1)
(*.f64 1 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 alpha) -2))
(*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) 1))
(*.f64 (+.f64 2 (/.f64 -4 alpha)) (/.f64 -1 alpha))
(.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)) (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2))
(*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 (/.f64 4 alpha) -2) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (/.f64 4 alpha) -2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 -1 alpha) (+.f64 2 (/.f64 -4 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) 1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) alpha) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2))) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(.f64 (/.f64 (.f64 (+.f64 (/.f64 16 (.f64 alpha alpha)) -4) (/.f64 1 alpha)) (+.f64 (/.f64 16 (.f64 alpha alpha)) -4)) (+.f64 (/.f64 4 alpha) -2))
(.f64 (/.f64 (.f64 (+.f64 (/.f64 16 (.f64 alpha alpha)) -4) (/.f64 1 alpha)) (+.f64 8 (/.f64 64 (pow.f64 alpha 3)))) (+.f64 (/.f64 16 (.f64 alpha alpha)) (-.f64 4 (/.f64 8 alpha))))
(.f64 (/.f64 (.f64 (/.f64 1 alpha) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8)) (-.f64 (/.f64 (/.f64 64 (pow.f64 alpha 3)) (.f64 alpha 1/4)) (.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 4 (/.f64 8 alpha))))) (-.f64 (/.f64 16 (*.f64 alpha alpha)) (+.f64 4 (/.f64 8 alpha))))
(.f64 (/.f64 (.f64 (/.f64 1 alpha) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8)) (+.f64 (pow.f64 (/.f64 16 (.f64 alpha alpha)) 3) (pow.f64 (+.f64 4 (/.f64 8 alpha)) 3))) (+.f64 (/.f64 (/.f64 64 (pow.f64 alpha 3)) (.f64 alpha 1/4)) (.f64 (+.f64 4 (/.f64 8 alpha)) (-.f64 (+.f64 4 (/.f64 8 alpha)) (/.f64 16 (.f64 alpha alpha))))))
(pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (+.f64 (/.f64 4 alpha) -2)) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha)))
(neg.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))
(neg.f64 (*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha)) 1))
(neg.f64 (*.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 -1 alpha)))
(neg.f64 (*.f64 1 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))

Outputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 -2 alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 -2 alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (/.f64 1 alpha) -2))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (/.f64 -2 alpha) 1))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(+.f64 (.f64 (/.f64 1 alpha) -2) (/.f64 4 (.f64 alpha alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))) 1)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 1 alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 1)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 1 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (cbrt.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 4 alpha))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 alpha) -2))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) 1))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (+.f64 2 (/.f64 -4 alpha)) (/.f64 -1 alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)) (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 (/.f64 4 alpha) -2) (sqrt.f64 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (/.f64 4 alpha) -2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 alpha) (+.f64 2 (/.f64 -4 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) 1))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) 1))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (sqrt.f64 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (sqrt.f64 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (cbrt.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 4 alpha))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) alpha) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2))) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(.f64 (/.f64 (.f64 (+.f64 (/.f64 16 (.f64 alpha alpha)) -4) (/.f64 1 alpha)) (+.f64 (/.f64 16 (.f64 alpha alpha)) -4)) (+.f64 (/.f64 4 alpha) -2))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(.f64 (/.f64 (.f64 (+.f64 (/.f64 16 (.f64 alpha alpha)) -4) (/.f64 1 alpha)) (+.f64 8 (/.f64 64 (pow.f64 alpha 3)))) (+.f64 (/.f64 16 (.f64 alpha alpha)) (-.f64 4 (/.f64 8 alpha))))
(.f64 (/.f64 (+.f64 -4 (/.f64 16 (.f64 alpha alpha))) (/.f64 (+.f64 8 (/.f64 64 (pow.f64 alpha 3))) (/.f64 1 alpha))) (+.f64 (/.f64 16 (*.f64 alpha alpha)) (-.f64 4 (/.f64 8 alpha))))
(/.f64 (*.f64 (/.f64 (+.f64 -4 (/.f64 (/.f64 16 alpha) alpha)) alpha) (+.f64 4 (+.f64 (/.f64 -8 alpha) (/.f64 (/.f64 16 alpha) alpha)))) (+.f64 8 (/.f64 64 (pow.f64 alpha 3))))
(/.f64 (+.f64 -4 (/.f64 (/.f64 16 alpha) alpha)) (*.f64 (/.f64 (+.f64 8 (/.f64 64 (pow.f64 alpha 3))) (+.f64 4 (+.f64 (/.f64 (/.f64 16 alpha) alpha) (/.f64 -8 alpha)))) alpha))
(.f64 (/.f64 (.f64 (/.f64 1 alpha) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8)) (-.f64 (/.f64 (/.f64 64 (pow.f64 alpha 3)) (.f64 alpha 1/4)) (.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 4 (/.f64 8 alpha))))) (-.f64 (/.f64 16 (*.f64 alpha alpha)) (+.f64 4 (/.f64 8 alpha))))
(.f64 (/.f64 (.f64 (/.f64 1 alpha) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8)) (-.f64 (/.f64 64 (.f64 (.f64 alpha 1/4) (pow.f64 alpha 3))) (.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 4 (/.f64 8 alpha))))) (-.f64 (/.f64 16 (.f64 alpha alpha)) (+.f64 4 (/.f64 8 alpha))))
(.f64 (/.f64 (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8) (.f64 (+.f64 (/.f64 64 (.f64 (pow.f64 alpha 3) (.f64 alpha 1/4))) (*.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 -4 (/.f64 -8 alpha)))) alpha)) (+.f64 (/.f64 (/.f64 16 alpha) alpha) (+.f64 -4 (/.f64 -8 alpha))))
(.f64 (/.f64 (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8) (.f64 alpha (fma.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 -4 (/.f64 -8 alpha)) (/.f64 256 (*.f64 alpha (pow.f64 alpha 3)))))) (+.f64 -4 (+.f64 (/.f64 (/.f64 16 alpha) alpha) (/.f64 -8 alpha))))
(.f64 (/.f64 (.f64 (/.f64 1 alpha) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8)) (+.f64 (pow.f64 (/.f64 16 (.f64 alpha alpha)) 3) (pow.f64 (+.f64 4 (/.f64 8 alpha)) 3))) (+.f64 (/.f64 (/.f64 64 (pow.f64 alpha 3)) (.f64 alpha 1/4)) (.f64 (+.f64 4 (/.f64 8 alpha)) (-.f64 (+.f64 4 (/.f64 8 alpha)) (/.f64 16 (.f64 alpha alpha))))))
(.f64 (/.f64 (/.f64 1 alpha) (/.f64 (+.f64 (/.f64 4096 (pow.f64 (.f64 alpha alpha) 3)) (pow.f64 (+.f64 4 (/.f64 8 alpha)) 3)) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8))) (+.f64 (/.f64 64 (.f64 (.f64 alpha 1/4) (pow.f64 alpha 3))) (.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 4 (-.f64 (/.f64 8 alpha) (/.f64 16 (.f64 alpha alpha)))))))
(.f64 (/.f64 (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8) (.f64 (+.f64 (pow.f64 (/.f64 (/.f64 16 alpha) alpha) 3) (pow.f64 (+.f64 4 (/.f64 8 alpha)) 3)) alpha)) (fma.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 4 (-.f64 (/.f64 8 alpha) (/.f64 (/.f64 16 alpha) alpha))) (/.f64 64 (.f64 (pow.f64 alpha 3) (.f64 alpha 1/4)))))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8) alpha) (+.f64 (/.f64 4096 (pow.f64 alpha 6)) (pow.f64 (+.f64 4 (/.f64 8 alpha)) 3))) (fma.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 (/.f64 8 alpha) (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))) (/.f64 256 (.f64 alpha (pow.f64 alpha 3)))))
(pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 1)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 3)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 3) 1/3)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(pow.f64 (/.f64 alpha (+.f64 (/.f64 4 alpha) -2)) -1)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(neg.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(neg.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(neg.f64 (*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha)) 1))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(neg.f64 (*.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 -1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(neg.f64 (*.f64 1 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha))))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 2))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 3))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 54 to 42 computations (22.2% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite97.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1958×	`add-sqr-sqrt`
1936×	`*-un-lft-identity`
1814×	`add-cube-cbrt`
1796×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	176	15
2	2351	15

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

990×	`associate-+r+`
780×	`associate-+l+`
766×	`*-commutative`
580×	`associate-*r/`
396×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	972
1	217	960
2	841	732
3	3780	732

Stop Event

1×	node limit

Counts

44 → 45

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

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

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (*.f64 alpha -4))
✓	0.1b	(.f64 (neg.f64 alpha) (.f64 alpha alpha))
	3.9b	(.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha))
✓	18.0b	(/.f64 (+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (.f64 alpha -4)) (.f64 (neg.f64 alpha) (*.f64 alpha alpha)))

Compiler

Compiled 117 to 49 computations (58.1% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	-inf	(.f64 (neg.f64 alpha) (.f64 alpha alpha))
1.0ms	beta	@	0	(/.f64 (+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (.f64 alpha -4)) (.f64 (neg.f64 alpha) (*.f64 alpha alpha)))
0.0ms	beta	@	-inf	(/.f64 (+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (.f64 alpha -4)) (.f64 (neg.f64 alpha) (*.f64 alpha alpha)))
0.0ms	beta	@	inf	(/.f64 (+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (.f64 alpha -4)) (.f64 (neg.f64 alpha) (*.f64 alpha alpha)))
0.0ms	alpha	@	inf	(/.f64 (+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (.f64 alpha -4)) (.f64 (neg.f64 alpha) (*.f64 alpha alpha)))

rewrite185.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`associate-/l*`
396×	`associate-+l+`
380×	`add-sqr-sqrt`
366×	`pow1`
366×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	105
1	366	73
2	5573	73

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

Inputs

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

(*.f64 (neg.f64 alpha) (*.f64 alpha alpha))

(+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 alpha -4))

Outputs

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

simplify126.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

746×	`times-frac`
742×	`distribute-lft-neg-in`
612×	`associate-/l*`
574×	`associate-/r*`
486×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	9204
1	1037	7208
2	5637	7124

Stop Event

1×	node limit

Counts

206 → 247

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3)))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)) (pow.f64 alpha 3))))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)) (pow.f64 alpha 3))))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)) (pow.f64 alpha 3))))
(*.f64 -2 (/.f64 beta alpha))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 beta alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 beta alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 beta alpha)))
(*.f64 -2 (/.f64 beta alpha))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 beta alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 beta alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 beta 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))
(+.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))
(+.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 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha))
(+.f64 (.f64 2 (.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)))
(+.f64 (.f64 2 (.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)))
(+.f64 (.f64 2 (.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)))
(.f64 2 (.f64 beta (pow.f64 alpha 2)))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 2 (.f64 beta (pow.f64 alpha 2))) (.f64 -4 alpha)))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 2 (.f64 beta (pow.f64 alpha 2))) (.f64 -4 alpha)))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 2 (.f64 beta (pow.f64 alpha 2))) (.f64 -4 alpha)))
(.f64 2 (.f64 beta (pow.f64 alpha 2)))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 2 (.f64 beta (pow.f64 alpha 2))) (.f64 -4 alpha)))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 2 (.f64 beta (pow.f64 alpha 2))) (.f64 -4 alpha)))
(+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 2 (.f64 beta (pow.f64 alpha 2))) (.f64 -4 alpha)))
(*.f64 -4 alpha)
(+.f64 (.f64 -4 alpha) (.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(+.f64 (.f64 -4 alpha) (.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(+.f64 (.f64 -4 alpha) (.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(+.f64 (.f64 -4 alpha) (.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(+.f64 (.f64 -4 alpha) (.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(+.f64 (.f64 -4 alpha) (.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(.f64 (+.f64 2 (.f64 2 beta)) (pow.f64 alpha 2))
(+.f64 (.f64 -4 alpha) (.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(+.f64 (.f64 -4 alpha) (.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(+.f64 (.f64 -4 alpha) (.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))))) 1)
(.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (/.f64 1 (pow.f64 alpha 3)))
(.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) 1)
(.f64 1 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))))
(.f64 (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (.f64 (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (/.f64 1 (pow.f64 alpha 3))))
(.f64 (/.f64 (sqrt.f64 (/.f64 alpha (/.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))))) alpha) (/.f64 (sqrt.f64 (/.f64 alpha (/.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))))) alpha))
(.f64 (cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2)) (.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (/.f64 1 (pow.f64 alpha 3))))
(.f64 (/.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) alpha) (pow.f64 (/.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) alpha) 2))
(.f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) alpha) 2) (/.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) alpha))
(.f64 (/.f64 alpha (/.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (/.f64 1 (*.f64 alpha alpha)))
(.f64 (/.f64 1 (pow.f64 alpha 3)) (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))))
(.f64 (neg.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) (/.f64 1 (pow.f64 alpha 3)))
(.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 alpha (/.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))))
(.f64 (/.f64 1 alpha) (/.f64 alpha (/.f64 (.f64 alpha alpha) (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))))
(.f64 (/.f64 1 (.f64 alpha (sqrt.f64 alpha))) (/.f64 alpha (/.f64 (.f64 alpha (sqrt.f64 alpha)) (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))))
(.f64 (/.f64 (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (.f64 alpha alpha)) (/.f64 (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) alpha))
(.f64 (/.f64 (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) alpha) (/.f64 (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (.f64 alpha alpha)))
(.f64 (/.f64 (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) 1) (/.f64 (sqrt.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) (pow.f64 alpha 3)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2)) (.f64 alpha alpha)) (/.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) alpha))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2)) alpha) (/.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (.f64 alpha alpha)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2)) 1) (/.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) (pow.f64 alpha 3)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2)) (.f64 alpha (sqrt.f64 alpha))) (/.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (*.f64 alpha (sqrt.f64 alpha))))
(pow.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) 1)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 alpha (/.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))))) alpha) 2)
(pow.f64 (/.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) alpha) 3)
(pow.f64 (pow.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 alpha 3) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) -1)
(neg.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))))
(sqrt.f64 (pow.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) 2))
(log.f64 (exp.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))))))
(cbrt.f64 (pow.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 3) (pow.f64 (pow.f64 alpha 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))))))
(exp.f64 (log.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))))))
(exp.f64 (.f64 (log.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))))) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))))))
(+.f64 0 (pow.f64 alpha 3))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 alpha 3)))) 1)
(-.f64 0 (pow.f64 alpha 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 alpha 3))) 1)
(pow.f64 alpha 3)
(pow.f64 (pow.f64 alpha 3) 1)
(pow.f64 (*.f64 alpha (sqrt.f64 alpha)) 2)
(pow.f64 (pow.f64 (pow.f64 alpha 3) 3) 1/3)
(neg.f64 (pow.f64 alpha 3))
(sqrt.f64 (pow.f64 (*.f64 alpha alpha) 3))
(log.f64 (exp.f64 (pow.f64 alpha 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 alpha 3))))
(cbrt.f64 (pow.f64 (pow.f64 alpha 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 alpha 3)))
(exp.f64 (log.f64 (pow.f64 alpha 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 alpha 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 alpha 3)))
(-.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (*.f64 alpha -4))
(-.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (-.f64 (.f64 alpha -4) (fma.f64 4 alpha (.f64 alpha -4))))
(-.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (-.f64 (.f64 alpha -4) (fma.f64 alpha -4 (.f64 alpha -4))))
(-.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (-.f64 (.f64 alpha -4) (fma.f64 (neg.f64 (.f64 alpha -4)) 1 (*.f64 alpha -4))))
(-.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (-.f64 (.f64 alpha -4) (fma.f64 (neg.f64 (sqrt.f64 (.f64 alpha -4))) (sqrt.f64 (.f64 alpha -4)) (.f64 alpha -4))))
(-.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (-.f64 (.f64 alpha -4) (fma.f64 (neg.f64 (cbrt.f64 (.f64 alpha -4))) (pow.f64 (cbrt.f64 (.f64 alpha -4)) 2) (.f64 alpha -4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))))) (-.f64 1 (fma.f64 4 alpha (*.f64 alpha -4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))))) (-.f64 1 (fma.f64 alpha -4 (*.f64 alpha -4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))))) (-.f64 1 (fma.f64 (neg.f64 (.f64 alpha -4)) 1 (.f64 alpha -4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 alpha -4))) (sqrt.f64 (.f64 alpha -4)) (*.f64 alpha -4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 alpha -4))) (pow.f64 (cbrt.f64 (.f64 alpha -4)) 2) (*.f64 alpha -4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))) (+.f64 (*.f64 alpha -4) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))) (-.f64 1 (*.f64 alpha -4)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))) (-.f64 1 (neg.f64 (*.f64 alpha -4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))) (-.f64 1 (*.f64 4 alpha)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))) (-.f64 1 (.f64 -1 (.f64 alpha -4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))) (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 alpha -4))) (sqrt.f64 (*.f64 alpha -4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))) (-.f64 1 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 alpha -4)) 2)) (cbrt.f64 (*.f64 alpha -4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 alpha -4))) (-.f64 1 (.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (/.f64 (.f64 (.f64 alpha alpha) 16) (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (-.f64 (/.f64 (.f64 (.f64 alpha alpha) 16) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (fma.f64 4 alpha (.f64 alpha -4))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (-.f64 (/.f64 (.f64 (.f64 alpha alpha) 16) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (fma.f64 alpha -4 (.f64 alpha -4))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (-.f64 (/.f64 (.f64 (.f64 alpha alpha) 16) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (fma.f64 (neg.f64 (.f64 alpha -4)) 1 (*.f64 alpha -4))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (-.f64 (/.f64 (.f64 (.f64 alpha alpha) 16) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 alpha -4))) (sqrt.f64 (.f64 alpha -4)) (.f64 alpha -4))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (-.f64 (/.f64 (.f64 (.f64 alpha alpha) 16) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 alpha -4))) (pow.f64 (cbrt.f64 (.f64 alpha -4)) 2) (.f64 alpha -4))))
(-.f64 (+.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (exp.f64 (log1p.f64 (*.f64 alpha -4)))) 1)
(-.f64 (+.f64 (.f64 alpha -4) (exp.f64 (log1p.f64 (.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))))) 1)
(.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))
(.f64 alpha (-.f64 (.f64 (fma.f64 2 beta 2) alpha) -4))
(.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) 1)
(.f64 1 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))))
(.f64 (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (sqrt.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))))
(.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2)) (cbrt.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))))
(.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2) (/.f64 1 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (.f64 (pow.f64 alpha 3) -64)) (/.f64 1 (+.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 (.f64 alpha -4) (-.f64 (.f64 alpha -4) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))))))
(.f64 (+.f64 (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (sqrt.f64 (.f64 alpha -4))) (-.f64 (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (sqrt.f64 (*.f64 alpha -4))))
(/.f64 alpha (/.f64 1 (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))))
(/.f64 alpha (/.f64 1 (-.f64 (*.f64 (fma.f64 2 beta 2) alpha) -4)))
(/.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 1)
(/.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) (/.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))))
(/.f64 1 (/.f64 1 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))))
(/.f64 (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (/.f64 1 (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))))))
(/.f64 (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (/.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) (.f64 (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))))))
(/.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2)) (/.f64 1 (cbrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2)) (/.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) (.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))))))
(/.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (.f64 (pow.f64 alpha 3) -64)) (+.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 (.f64 alpha -4) (-.f64 (.f64 alpha -4) (.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (.f64 (pow.f64 alpha 3) -64)) (/.f64 1 (/.f64 1 (+.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 (.f64 alpha -4) (-.f64 (.f64 alpha -4) (.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))))))))
(/.f64 (+.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 (.f64 alpha -4) (-.f64 (.f64 alpha -4) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))))) (/.f64 (+.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 (.f64 alpha -4) (-.f64 (.f64 alpha -4) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))))) (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (.f64 (pow.f64 alpha 3) -64))) (/.f64 (+.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 (.f64 alpha -4) (-.f64 (.f64 alpha -4) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (.f64 (pow.f64 alpha 3) -64)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (.f64 (pow.f64 alpha 3) -64))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (.f64 (pow.f64 alpha 3) -64)))) (/.f64 (+.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 (.f64 alpha -4) (-.f64 (.f64 alpha -4) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (.f64 (pow.f64 alpha 3) -64)))))
(/.f64 (.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))))) (sqrt.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2)) (cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2))) (/.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) (cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) 2))))
(/.f64 (.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) (cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2))) (/.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) (cbrt.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))))))
(/.f64 (neg.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2)) (neg.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (.f64 (pow.f64 alpha 3) -64))) (neg.f64 (+.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 (.f64 alpha -4) (-.f64 (.f64 alpha -4) (.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))))))
(/.f64 (+.f64 (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (sqrt.f64 (.f64 alpha -4))) (/.f64 1 (-.f64 (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (sqrt.f64 (.f64 alpha -4)))))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) 16) (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4))) (-.f64 (.f64 alpha -4) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (.f64 (pow.f64 alpha 3) -64)) (+.f64 (+.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 (.f64 alpha alpha) 16)) (.f64 (fma.f64 2 beta 2) (.f64 (.f64 alpha alpha) (.f64 alpha -4)))))
(pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 1)
(pow.f64 (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) 2)
(pow.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) 3)
(pow.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2))
(log.f64 (exp.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 alpha) alpha) (fma.f64 2 beta 2)) (pow.f64 (exp.f64 -4) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))))))
(cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 3))
(expm1.f64 (log1p.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))))
(exp.f64 (log.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))))
(exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) 1))
(log1p.f64 (expm1.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))))
(fma.f64 (fma.f64 2 beta 2) (.f64 alpha alpha) (.f64 alpha -4))
(fma.f64 (fma.f64 2 beta 2) (.f64 alpha alpha) (neg.f64 (.f64 alpha -4)))
(fma.f64 alpha -4 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))
(fma.f64 (.f64 alpha alpha) (fma.f64 2 beta 2) (.f64 alpha -4))
(fma.f64 (.f64 alpha alpha) (fma.f64 2 beta 2) (neg.f64 (.f64 alpha -4)))
(fma.f64 -4 alpha (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))
(fma.f64 1 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (*.f64 alpha -4))
(fma.f64 1 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (neg.f64 (*.f64 alpha -4)))
(fma.f64 1 (.f64 alpha -4) (.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))
(fma.f64 (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (*.f64 alpha -4))
(fma.f64 (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (neg.f64 (*.f64 alpha -4)))
(fma.f64 (sqrt.f64 (.f64 alpha -4)) (sqrt.f64 (.f64 alpha -4)) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4))) (cbrt.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))) (.f64 alpha -4))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4))) (cbrt.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))) (neg.f64 (.f64 alpha -4)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 alpha -4)) 2) (cbrt.f64 (.f64 alpha -4)) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))
(fma.f64 (.f64 (fma.f64 2 beta 2) alpha) alpha (.f64 alpha -4))
(fma.f64 (.f64 (fma.f64 2 beta 2) alpha) alpha (neg.f64 (.f64 alpha -4)))

Outputs
(.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3)))
(neg.f64 (/.f64 (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)) (pow.f64 alpha 3)))
(/.f64 (neg.f64 (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4))) (pow.f64 alpha 3))
(/.f64 (neg.f64 (*.f64 alpha (+.f64 -4 (+.f64 alpha alpha)))) (pow.f64 alpha 3))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)) (pow.f64 alpha 3))))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)) (pow.f64 alpha 3))))
(fma.f64 -2 (/.f64 beta alpha) (/.f64 (neg.f64 (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4))) (pow.f64 alpha 3)))
(fma.f64 -2 (/.f64 beta alpha) (/.f64 (neg.f64 (*.f64 alpha (+.f64 -4 (+.f64 alpha alpha)))) (pow.f64 alpha 3)))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)) (pow.f64 alpha 3))))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)) (pow.f64 alpha 3))))
(fma.f64 -2 (/.f64 beta alpha) (/.f64 (neg.f64 (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4))) (pow.f64 alpha 3)))
(fma.f64 -2 (/.f64 beta alpha) (/.f64 (neg.f64 (*.f64 alpha (+.f64 -4 (+.f64 alpha alpha)))) (pow.f64 alpha 3)))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -4 alpha)) (pow.f64 alpha 3))))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)) (pow.f64 alpha 3))))
(fma.f64 -2 (/.f64 beta alpha) (/.f64 (neg.f64 (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4))) (pow.f64 alpha 3)))
(fma.f64 -2 (/.f64 beta alpha) (/.f64 (neg.f64 (*.f64 alpha (+.f64 -4 (+.f64 alpha alpha)))) (pow.f64 alpha 3)))
(*.f64 -2 (/.f64 beta alpha))
(/.f64 (*.f64 -2 beta) alpha)
(/.f64 -2 (/.f64 alpha beta))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 beta alpha)))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (.f64 alpha alpha))) (/.f64 (.f64 -2 beta) alpha))
(-.f64 (/.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 -2 (/.f64 alpha beta)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 beta alpha)))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (.f64 alpha alpha))) (/.f64 (.f64 -2 beta) alpha))
(-.f64 (/.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 -2 (/.f64 alpha beta)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 beta alpha)))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (.f64 alpha alpha))) (/.f64 (.f64 -2 beta) alpha))
(-.f64 (/.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 -2 (/.f64 alpha beta)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha)))
(*.f64 -2 (/.f64 beta alpha))
(/.f64 (*.f64 -2 beta) alpha)
(/.f64 -2 (/.f64 alpha beta))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 beta alpha)))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (.f64 alpha alpha))) (/.f64 (.f64 -2 beta) alpha))
(-.f64 (/.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 -2 (/.f64 alpha beta)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -2 (/.f64 beta alpha)))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (.f64 alpha alpha))) (/.f64 (.f64 -2 beta) alpha))
(-.f64 (/.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
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(/.f64 (-.f64 (.f64 alpha (.f64 alpha 16)) (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4))) (.f64 alpha (-.f64 -4 (*.f64 alpha (fma.f64 2 beta 2)))))
(/.f64 (-.f64 (.f64 alpha (.f64 alpha 16)) (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4))) (.f64 (neg.f64 alpha) (fma.f64 alpha (fma.f64 2 beta 2) 4)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (.f64 (pow.f64 alpha 3) -64)) (+.f64 (+.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (.f64 (.f64 alpha alpha) 16)) (.f64 (fma.f64 2 beta 2) (.f64 (.f64 alpha alpha) (.f64 alpha -4)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) 3) (.f64 (pow.f64 alpha 3) -64)) (+.f64 (fma.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4) (.f64 (.f64 alpha alpha) 16)) (.f64 (fma.f64 2 beta 2) (*.f64 (pow.f64 alpha 3) -4))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 6) (.f64 (pow.f64 alpha 3) 64)) (fma.f64 (fma.f64 2 beta 2) (.f64 -4 (pow.f64 alpha 3)) (fma.f64 alpha (.f64 alpha 16) (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)))))
(/.f64 (.f64 (pow.f64 alpha 3) (+.f64 (pow.f64 (.f64 alpha (fma.f64 2 beta 2)) 3) 64)) (fma.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4) (.f64 (.f64 alpha alpha) (+.f64 16 (.f64 (fma.f64 2 beta 2) (.f64 alpha -4))))))
(pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 1)
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(pow.f64 (sqrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) 2)
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(pow.f64 (cbrt.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))) 3)
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(pow.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 3) 1/3)
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(sqrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 2))
(sqrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 alpha (fma.f64 2 beta 2)))) 2))
(fabs.f64 (*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4)))
(log.f64 (exp.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 alpha) alpha) (fma.f64 2 beta 2)) (pow.f64 (exp.f64 -4) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))))))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(cbrt.f64 (pow.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha))) 3))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(expm1.f64 (log1p.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(exp.f64 (log.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) 1))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(log1p.f64 (expm1.f64 (.f64 alpha (+.f64 -4 (.f64 (fma.f64 2 beta 2) alpha)))))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(fma.f64 (fma.f64 2 beta 2) (.f64 alpha alpha) (.f64 alpha -4))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(fma.f64 (fma.f64 2 beta 2) (.f64 alpha alpha) (neg.f64 (.f64 alpha -4)))
(fma.f64 (fma.f64 2 beta 2) (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) 4))
(fma.f64 alpha -4 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(fma.f64 (.f64 alpha alpha) (fma.f64 2 beta 2) (.f64 alpha -4))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(fma.f64 (.f64 alpha alpha) (fma.f64 2 beta 2) (neg.f64 (.f64 alpha -4)))
(fma.f64 (fma.f64 2 beta 2) (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) 4))
(fma.f64 -4 alpha (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(fma.f64 1 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (*.f64 alpha -4))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(fma.f64 1 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)) (neg.f64 (*.f64 alpha -4)))
(fma.f64 (fma.f64 2 beta 2) (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) 4))
(fma.f64 1 (.f64 alpha -4) (.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(fma.f64 (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (*.f64 alpha -4))
(.f64 alpha (+.f64 -4 (.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))))))
(fma.f64 (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (neg.f64 (*.f64 alpha -4)))
(fma.f64 (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (*.f64 alpha 4))
(.f64 alpha (+.f64 4 (.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))))))
(fma.f64 (sqrt.f64 (.f64 alpha -4)) (sqrt.f64 (.f64 alpha -4)) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4))) (cbrt.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))) (.f64 alpha -4))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4))) (cbrt.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))) (neg.f64 (.f64 alpha -4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4))) (cbrt.f64 (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha))) (.f64 alpha 4))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 alpha -4)) 2) (cbrt.f64 (.f64 alpha -4)) (.f64 (fma.f64 2 beta 2) (.f64 alpha alpha)))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(fma.f64 (.f64 (fma.f64 2 beta 2) alpha) alpha (.f64 alpha -4))
(fma.f64 2 (.f64 beta (.f64 alpha alpha)) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha -4)))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) -4))
(fma.f64 (.f64 (fma.f64 2 beta 2) alpha) alpha (neg.f64 (.f64 alpha -4)))
(fma.f64 (fma.f64 2 beta 2) (.f64 alpha alpha) (.f64 alpha 4))
(*.f64 alpha (fma.f64 alpha (fma.f64 2 beta 2) 4))

eval529.0ms (5.2%)

Compiler: Compiled 17800 to 12730 computations (28.5% saved)

prune197.0ms (1.9%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	729	5	734
Fresh	2	4	6
Picked	0	1	1
Done	2	8	10
Total	733	18	751

Error

Counts

751 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	45.9b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	32.4b	(/.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) 2)
✓	49.5b	(/.f64 (/.f64 2 alpha) 2)
	33.7b	(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))) 2)
✓	43.7b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	32.4b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	33.5b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	16.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	16.9b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
	45.9b	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
	35.0b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	42.1b	(/.f64 (+.f64 (*.f64 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2)
✓	50.7b	(/.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 2)
✓	59.3b	(/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (.f64 alpha -4)) (.f64 (neg.f64 alpha) (.f64 alpha alpha)))) 2)
	47.0b	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 -2 beta -2) (neg.f64 alpha))))) 2)
	58.3b	(/.f64 beta alpha)
✓	39.4b	(/.f64 2 2)
	32.7b	(/.f64 1 2)

Compiler

Compiled 275 to 214 computations (22.2% saved)

regimes239.0ms (2.4%)

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

83.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
71.0ms	alpha
46.0ms	beta
17.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
3.6b	2	`alpha`
14.7b	3	`beta`
0.0b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.0b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.0b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 565 to 382 computations (32.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999998732	-0.9172092612423932

Compiler

Compiled 20 to 15 computations (25% saved)

regimes105.0ms (1%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

5 calls:

35.0ms	alpha
33.0ms	beta
18.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms	(+.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`
14.7b	3	`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 302 to 211 computations (30.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999998732	-0.9172092612423932

Compiler

Compiled 20 to 15 computations (25% saved)

regimes75.0ms (0.7%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	beta
31.0ms	alpha

Results

Error	Segments	Branch
4.5b	2	`alpha`
15.4b	3	`beta`

Compiler

Compiled 165 to 129 computations (21.8% saved)

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	1.0222048358699661e-6	22.157291383225417

Results

23.0ms

144×

body

256

valid

Compiler

Compiled 272 to 222 computations (18.4% saved)

regimes62.0ms (0.6%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	alpha
26.0ms	beta

Results

Error	Segments	Branch
4.5b	2	`alpha`
15.4b	3	`beta`

Compiler

Compiled 152 to 120 computations (21.1% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	1.0222048358699661e-6	22.157291383225417

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 236 to 195 computations (17.4% saved)

regimes45.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	beta
19.0ms	alpha

Results

Error	Segments	Branch
7.2b	3	`alpha`
15.4b	3	`beta`

Compiler

Compiled 73 to 58 computations (20.5% saved)

bsearch60.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	2.847633005698241e+268	5.097650234359003e+272
18.0ms	1.0222048358699661e-6	22.157291383225417

Results

38.0ms	105×	body	1024	valid
18.0ms	164×	body	256	valid
0.0ms	3×	body	512	valid

Compiler

Compiled 312 to 256 computations (17.9% saved)

regimes49.0ms (0.5%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	alpha
21.0ms	beta

Results

Error	Segments	Branch
16.9b	5	`alpha`
16.0b	4	`beta`

Compiler

Compiled 55 to 44 computations (20% saved)

bsearch58.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
24.0ms	0.007558443199880446	869.4619876141688
21.0ms	5.996392377863736e-104	6.636331272149382e-101
13.0ms	1.2037400461131637e-158	3.0353315056708278e-158

Results

26.0ms	254×	body	256	valid
18.0ms	71×	body	1024	valid
6.0ms	22×	body	512	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 434 to 385 computations (11.3% saved)

regimes46.0ms (0.5%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	alpha
19.0ms	beta

Results

Error	Segments	Branch
16.9b	5	`alpha`
16.3b	4	`beta`

Compiler

Compiled 48 to 38 computations (20.8% saved)

bsearch59.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
25.0ms	0.007558443199880446	869.4619876141688
22.0ms	5.996392377863736e-104	6.636331272149382e-101
12.0ms	1.2037400461131637e-158	3.0353315056708278e-158

Results

30.0ms	241×	body	256	valid
20.0ms	84×	body	1024	valid
4.0ms	26×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 398 to 358 computations (10.1% saved)

regimes41.0ms (0.4%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	alpha
18.0ms	beta

Results

Error	Segments	Branch
17.4b	5	`alpha`
16.7b	4	`beta`

Compiler

Compiled 34 to 26 computations (23.5% saved)

bsearch54.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
21.0ms	0.007558443199880446	869.4619876141688
20.0ms	5.996392377863736e-104	6.636331272149382e-101
12.0ms	1.2037400461131637e-158	3.0353315056708278e-158

Results

28.0ms	268×	body	256	valid
16.0ms	63×	body	1024	valid
4.0ms	19×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 310 to 292 computations (5.8% saved)

regimes26.0ms (0.3%)

Accuracy

Total -44.7b remaining (-250.5%)

Threshold costs -44.7b (-250.5%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	alpha
8.0ms	beta

Results

Error	Segments	Branch
24.5b	5	`alpha`
17.8b	2	`beta`

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	0.007558443199880446	869.4619876141688

Results

14.0ms	113×	body	256	valid
6.0ms	24×	body	1024	valid
1.0ms	7×	body	512	valid

Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

124×	`distribute-lft-neg-in`
96×	`*-commutative`
80×	`+-commutative`
68×	`neg-sub0`
66×	`distribute-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	676
1	113	676
2	137	672
3	167	668
4	201	668
5	251	668
6	283	668
7	326	668
8	378	668
9	434	668
10	470	668
11	476	668

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4278419646001971/4503599627370496) (/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 -2 beta -2) (neg.f64 alpha))))) 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)) -4278419646001971/4503599627370496) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 22) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2))
(if (<=.f64 alpha 22) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 22) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 499999999999999972701170848296337442289488270977721329566305179912859347121457059657421081410337639824519603649785654416923454595569342486253994641168347891303833520112959137525342032630583758489088677395132802532733033184688425175646530461769523219334840203452357476876288) (/.f64 (/.f64 2 alpha) 2) (/.f64 beta alpha)))
(if (<=.f64 beta 463744502762071/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 2420859260706477/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 463744502762071/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 3631288891059715/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta 5935929635354509/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 1 2) (if (<=.f64 beta 2420859260706477/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4278419646001971/4503599627370496) (/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 -2 beta -2) (neg.f64 alpha))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta -2) (neg.f64 alpha))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta -2) (neg.f64 alpha)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (*.f64 (/.f64 (fma.f64 -2 beta -2) (neg.f64 alpha)) (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (+.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) (*.f64 (/.f64 (fma.f64 -2 beta -2) (neg.f64 alpha)) (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (+.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) (*.f64 (/.f64 (fma.f64 -2 beta -2) (neg.f64 alpha)) (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4278419646001971/4503599627370496) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2))
(if (<=.f64 alpha 22) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2))
(if (<=.f64 alpha 22) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2))
(if (<=.f64 alpha 22) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 22) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 22) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 499999999999999972701170848296337442289488270977721329566305179912859347121457059657421081410337639824519603649785654416923454595569342486253994641168347891303833520112959137525342032630583758489088677395132802532733033184688425175646530461769523219334840203452357476876288) (/.f64 (/.f64 2 alpha) 2) (/.f64 beta alpha)))
(if (<=.f64 alpha 22) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (<=.f64 alpha 499999999999999972701170848296337442289488270977721329566305179912859347121457059657421081410337639824519603649785654416923454595569342486253994641168347891303833520112959137525342032630583758489088677395132802532733033184688425175646530461769523219334840203452357476876288) (/.f64 (/.f64 2 alpha) 2) (/.f64 beta alpha)))
(if (<=.f64 beta 463744502762071/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 2420859260706477/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 463744502762071/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta 2420859260706477/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 463744502762071/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta 2420859260706477/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))
(if (<=.f64 beta 463744502762071/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 3631288891059715/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta 463744502762071/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta 3631288891059715/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) 1)))
(if (<=.f64 beta 5935929635354509/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 1 2) (if (<=.f64 beta 2420859260706477/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 5935929635354509/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) 1/2 (if (<=.f64 beta 2420859260706477/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) 1/2 1)))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 276 to 212 computations (23.2% saved)

soundness392.0ms (3.9%)

Algorithm

3×	egg-herbie

Rules

982×	`associate-/l*`
924×	`distribute-lft-in`
872×	`times-frac`
812×	`distribute-rgt-in`
806×	`associate-r`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	25	37
2	41	37
3	69	37
4	117	37
5	255	33
6	463	33
7	845	33
8	1720	33
9	3940	33
0	608	12724
1	2161	12284
0	553	14606
1	1534	13802

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 599 to 405 computations (32.4% saved)

end164.0ms (1.6%)

Compiler: Compiled 258 to 189 computations (26.7% saved)

Iter	Nodes	Cost
0	86	676
1	113	676
2	137	672
3	167	668
4	201	668
5	251	668
6	283	668
7	326	668
8	378	668
9	434	668
10	470	668
11	476	668

Iter	Nodes	Cost
0	86	676
1	113	676
2	137	672
3	167	668
4	201	668
5	251	668
6	283	668
7	326	668
8	378	668
9	434	668
10	470	668
11	476	668

Iter	Nodes	Cost
0	86	676
1	113	676
2	137	672
3	167	668
4	201	668
5	251	668
6	283	668
7	326	668
8	378	668
9	434	668
10	470	668
11	476	668