Details

analyze36.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.6s (15.1%)

Results

846.0ms	6459×	body	256	valid
395.0ms	1060×	body	1024	valid
180.0ms	637×	body	512	valid
138.0ms	100×	body	2048	valid

Bogosity

preprocess99.0ms (1%)

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)

simplify74.0ms (0.7%)

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

28.16%

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.16%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.04%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	5.27%	(+.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)

rewrite112.0ms (1.1%)

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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simplify155.0ms (1.5%)

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)))

eval314.0ms (3%)

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

prune72.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	343	11	354
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	343	12	355

Error

0.06%

Counts

355 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.42%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
▶	67.87%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	48.75%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	75.98%	(/.f64 (+.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)))))) 2)
	74.8%	(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2)
✓	28.16%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	30.02%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	28.2%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	96.28%	(/.f64 (+.f64 -1 1) 2)
	73.4%	(/.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)
▶	28.16%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	67.89%	(/.f64 2 2)

Compiler

Compiled 513 to 399 computations (22.2% saved)

localize87.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.03%	(exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
✓	0.04%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
✓	5.27%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
✓	5.29%	(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))

Compiler

Compiled 77 to 45 computations (41.6% saved)

series7.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite146.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`associate-/r*`
1528×	`associate-/l*`
324×	`+-commutative`
316×	`add-sqr-sqrt`
308×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	122
1	311	122
2	4351	122

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.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 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.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)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (log.f64 (sqrt.f64 (exp.f64 (+.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) 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 (+.f64 0 (/.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 0 (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 0 (+.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 0 (/.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 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 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(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 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 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 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simplify241.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

904×	`fma-def`
796×	`+-commutative`
566×	`associate-r`
542×	`associate-+r+`
534×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	648	18827
1	1934	18039

Stop Event

1×	node limit

Counts

283 → 359

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

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

localize3.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 beta (+.f64 beta 2))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`add-sqr-sqrt`
1540×	`*-un-lft-identity`
1452×	`add-cube-cbrt`
1438×	`add-cbrt-cube`
1428×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	137	13
2	1864	13

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1540×	`associate-r`
1304×	`associate-l`
866×	`associate-+r+`
854×	`distribute-lft-in`
816×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1249
1	309	1061
2	1107	907
3	5906	907

Stop Event

1×	node limit

Counts

45 → 67

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
✓	0.31%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)

Compiler

Compiled 29 to 21 computations (27.6% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1220×	`associate-/r*`
1132×	`associate-/l*`
1032×	`*-commutative`
470×	`associate-/l/`
446×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	206	36
2	2832	34

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1390×	`unswap-sqr`
1176×	`associate-/r*`
686×	`distribute-lft-neg-out`
598×	`distribute-rgt-neg-out`
532×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	3735
1	758	3259
2	3135	2779

Stop Event

1×	node limit

Counts

155 → 158

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.03%	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	28.49%	(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 50 to 31 computations (38% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`associate-*l/`
1318×	`distribute-lft-in`
606×	`associate-/r*`
420×	`associate-/r/`
346×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	269	50
2	3663	50

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

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

simplify102.0ms (1%)

Algorithm

1×	egg-herbie

Rules

986×	`associate-*r/`
946×	`associate-+l-`
898×	`associate-+r-`
780×	`associate-*l/`
650×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	424	7058
1	1352	6678
2	5139	6670

Stop Event

1×	node limit

Counts

122 → 236

Calls

Call 1

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

eval734.0ms (7.1%)

Compiler: Compiled 23850 to 16946 computations (28.9% saved)

prune185.0ms (1.8%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	810	10	820
Fresh	4	2	6
Picked	0	1	1
Done	2	3	5
Total	816	16	832

Error

0.06%

Counts

832 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.42%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
▶	50.78%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha 2)) 1) 2)
	48.97%	(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	73.4%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha)) 2)
	74.8%	(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (.f64 alpha alpha) beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) (/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 3))) 2)
▶	48.75%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	28.16%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	30.02%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	75.98%	(/.f64 (+.f64 (-.f64 (-.f64 (/.f64 1 (/.f64 (pow.f64 alpha 3) (.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (.f64 alpha alpha) beta)) (.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3)))) 2)
▶	28.2%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	52.32%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
▶	67.87%	(/.f64 (+.f64 1 beta) alpha)
	48.76%	(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
	87.89%	(/.f64 beta alpha)
✓	67.89%	(/.f64 2 2)
▶	75.86%	(/.f64 1 alpha)

Compiler

Compiled 573 to 415 computations (27.6% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.03%	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	0.14%	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
✓	7.91%	(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)

Compiler

Compiled 63 to 39 computations (38.1% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite107.0ms (1%)

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	56
1	282	56
2	4024	56

Stop Event

1×	node limit

Counts

2 → 216

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))

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 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simplify149.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

950×	`associate-/l*`
772×	`associate-/r*`
746×	`associate-r`
738×	`distribute-lft-in`
726×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	811	18892
1	2577	18322

Stop Event

1×	node limit

Counts

264 → 481

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

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

localize3.0ms (0%)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 (+.f64 1 beta) alpha)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`add-sqr-sqrt`
1600×	`*-un-lft-identity`
1496×	`add-cube-cbrt`
1480×	`add-cbrt-cube`
148×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1954	13

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1050×	`associate-+r+`
1032×	`associate-+l+`
714×	`fma-def`
700×	`*-commutative`
574×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	1064
1	216	1056
2	837	756
3	3350	756
4	6143	756

Stop Event

1×	node limit

Counts

56 → 40

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.03%	(/.f64 alpha (+.f64 alpha 2))
✓	2.95%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (0.8%)

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

simplify99.0ms (1%)

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))))
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(.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
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(*.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))
(/.f64 1 (/.f64 1 (+.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 alpha (+.f64 alpha 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)) 3)) (+.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 (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 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (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 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 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 (sqrt.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))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (+.f64 (+.f64 1 (/.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 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (sqrt.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 (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 (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)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.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 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (.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 (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 (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 (+.f64 1 (/.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 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (+.f64 (+.f64 1 (/.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))))))
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(*.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))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 1 (+.f64 alpha 2))
✓	28.52%	(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha 2)) 1)

Compiler

Compiled 39 to 25 computations (35.9% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`associate-*r/`
1036×	`*-commutative`
896×	`associate-*l/`
576×	`distribute-lft-in`
556×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	239	38
2	3076	38

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) alpha) (*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha)) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (-.f64 4 (*.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (-.f64 4 (*.f64 alpha 2))) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (/.f64 1 (fma.f64 alpha alpha -4))) (*.f64 -2 (/.f64 1 (fma.f64 alpha alpha -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (-.f64 4 (*.f64 alpha 2)) (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 4 (*.f64 alpha 2)) (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (*.f64 alpha alpha) (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 alpha 2) -1/2) (pow.f64 (+.f64 alpha 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha -2) (/.f64 1 (fma.f64 alpha alpha -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (/.f64 1 (+.f64 8 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (+.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1) (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha -2) (-.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) 16)) (+.f64 4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha -2) (-.f64 (pow.f64 (*.f64 alpha alpha) 3) 64)) (+.f64 (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) 16) (*.f64 4 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (-.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)) 64)) (-.f64 (pow.f64 alpha 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (+.f64 512 (pow.f64 (pow.f64 alpha 3) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)) 64) (*.f64 8 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 alpha 2) -1/2) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 alpha 2) -1/2) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha 2))))))))

simplify127.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1056×	`associate-+l+`
898×	`distribute-lft-in`
828×	`distribute-rgt-in`
802×	`+-commutative`
798×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	4161
1	835	3643
2	2828	3553

Stop Event

1×	node limit

Counts

107 → 176

Calls

Call 1

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

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

eval742.0ms (7.1%)

Compiler: Compiled 30308 to 20231 computations (33.2% saved)

prune402.0ms (3.9%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	1077	7	1084
Fresh	5	2	7
Picked	0	1	1
Done	0	8	8
Total	1082	18	1100

Error

0.06%

Counts

1100 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.42%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
✓	50.78%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha 2)) 1) 2)
▶	48.76%	(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
	77.56%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	77.57%	(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2)
✓	48.75%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	51.1%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	28.16%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	30.02%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	77.04%	(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
✓	28.2%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
▶	72.87%	(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
▶	52.32%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	67.87%	(/.f64 (+.f64 1 beta) alpha)
	87.89%	(/.f64 beta alpha)
✓	67.89%	(/.f64 2 2)
✓	75.86%	(/.f64 1 alpha)
▶	49.54%	(/.f64 1 2)

Compiler

Compiled 347 to 275 computations (20.7% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.03%	(/.f64 alpha (+.f64 alpha 2))
✓	0.04%	(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
✓	0.05%	(*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))
✓	2.93%	(-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))))

Compiler

Compiled 97 to 68 computations (29.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite146.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1724×	`associate-/l/`
1220×	`distribute-lft-in`
350×	`add-sqr-sqrt`
338×	`pow1`
338×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	93
1	337	93
2	5059	63

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 alpha (-.f64 -2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (/.f64 1 (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)))))

simplify175.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

744×	`+-commutative`
740×	`times-frac`
690×	`associate-/r*`
610×	`associate-/l*`
592×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	465	8011
1	1315	7691
2	6639	7663

Stop Event

1×	node limit

Counts

217 → 296

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 alpha 3)) (.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 alpha 3)) (+.f64 (.f64 -3/16 (pow.f64 alpha 4)) (*.f64 -1/4 (pow.f64 alpha 2)))))
(/.f64 4 alpha)
(-.f64 (.f64 4 (/.f64 1 alpha)) (.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 alpha))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) (.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(/.f64 4 alpha)
(-.f64 (.f64 4 (/.f64 1 alpha)) (.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 alpha))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) (.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(*.f64 1/4 (pow.f64 alpha 2))
(+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (.f64 1/4 (pow.f64 alpha 2)))
(+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (.f64 3/16 (pow.f64 alpha 4)) (.f64 1/4 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
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 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))
(+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) 1)
(+.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 1)
(*.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1)
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))) (*.f64 1 (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))) (.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (*.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4) 3)) (.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4) (.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6) 3)) (.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (+.f64 (+.f64 1 (.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))))
(pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3))
(expm1.f64 (log.f64 (+.f64 2 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1))
(+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) 0)
(+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1) 1)
(+.f64 (.f64 (/.f64 alpha (.f64 (-.f64 4 (.f64 alpha alpha)) (/.f64 (+.f64 alpha 2) alpha))) alpha) (.f64 (/.f64 alpha (.f64 (-.f64 4 (.f64 alpha alpha)) (/.f64 (+.f64 alpha 2) alpha))) -2))
(+.f64 (.f64 (/.f64 alpha (.f64 (-.f64 4 (.f64 alpha alpha)) (/.f64 (+.f64 alpha 2) alpha))) -2) (.f64 (/.f64 alpha (.f64 (-.f64 4 (.f64 alpha alpha)) (/.f64 (+.f64 alpha 2) alpha))) alpha))
(+.f64 (.f64 (/.f64 alpha (.f64 (-.f64 -8 (pow.f64 alpha 3)) (/.f64 (+.f64 alpha 2) alpha))) 4) (.f64 (/.f64 alpha (.f64 (-.f64 -8 (pow.f64 alpha 3)) (/.f64 (+.f64 alpha 2) alpha))) (*.f64 alpha (+.f64 alpha -2))))
(+.f64 (.f64 (/.f64 alpha (.f64 (-.f64 -8 (pow.f64 alpha 3)) (/.f64 (+.f64 alpha 2) alpha))) (.f64 alpha (+.f64 alpha -2))) (.f64 (/.f64 alpha (*.f64 (-.f64 -8 (pow.f64 alpha 3)) (/.f64 (+.f64 alpha 2) alpha))) 4))
(+.f64 (.f64 (/.f64 alpha (.f64 (-.f64 -8 (pow.f64 alpha 3)) (/.f64 (+.f64 alpha 2) alpha))) (+.f64 4 (.f64 alpha alpha))) (.f64 (/.f64 alpha (.f64 (-.f64 -8 (pow.f64 alpha 3)) (/.f64 (+.f64 alpha 2) alpha))) (.f64 alpha -2)))
(-.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1)
(-.f64 0 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha)))
(/.f64 1 (/.f64 (pow.f64 (-.f64 -2 alpha) 2) (*.f64 alpha alpha)))
(/.f64 1 (/.f64 (-.f64 -2 alpha) (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha))))
(/.f64 1 (.f64 1 (.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha))))
(/.f64 1 (.f64 1 (/.f64 (pow.f64 (-.f64 -2 alpha) 2) (.f64 alpha alpha))))
(/.f64 1 (*.f64 1 (/.f64 (-.f64 -2 alpha) (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha)))))
(/.f64 alpha (/.f64 (pow.f64 (-.f64 -2 alpha) 2) alpha))
(/.f64 alpha (/.f64 (-.f64 -2 alpha) (/.f64 alpha (-.f64 -2 alpha))))
(/.f64 alpha (*.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 -2 alpha)))
(/.f64 alpha (*.f64 (/.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2)))
(/.f64 alpha (*.f64 (-.f64 -2 alpha) (/.f64 (+.f64 alpha 2) alpha)))
(/.f64 alpha (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha 2) alpha)))
(/.f64 alpha (*.f64 1 (/.f64 (pow.f64 (-.f64 -2 alpha) 2) alpha)))
(/.f64 alpha (*.f64 1 (/.f64 (-.f64 -2 alpha) (/.f64 alpha (-.f64 -2 alpha)))))
(/.f64 alpha (.f64 1 (.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 -2 alpha))))
(/.f64 alpha (.f64 1 (.f64 (-.f64 -2 alpha) (/.f64 (+.f64 alpha 2) alpha))))
(/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (+.f64 alpha 2) alpha))
(/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) 1)
(/.f64 (sqrt.f64 alpha) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (-.f64 -2 alpha) (sqrt.f64 alpha))))
(/.f64 (sqrt.f64 alpha) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) (sqrt.f64 alpha))))
(/.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (-.f64 -2 alpha) (cbrt.f64 alpha))))
(/.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) (cbrt.f64 alpha))))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))
(/.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 -2 alpha) 2))
(/.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha)) (-.f64 -2 alpha))
(/.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha)) (+.f64 alpha 2))
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 -2 alpha)))
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2)))
(/.f64 (neg.f64 alpha) (.f64 1 (.f64 (/.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2))))
(/.f64 (sqrt.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha))) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (sqrt.f64 (-.f64 -2 alpha))))
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (pow.f64 (+.f64 alpha 2) 2))
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (pow.f64 (-.f64 -2 alpha) 2))
(/.f64 (.f64 alpha (neg.f64 alpha)) (.f64 (-.f64 -2 alpha) (+.f64 alpha 2)))
(/.f64 (.f64 alpha (neg.f64 alpha)) (.f64 (+.f64 alpha 2) (-.f64 -2 alpha)))
(/.f64 (.f64 alpha (neg.f64 alpha)) (.f64 1 (*.f64 (-.f64 -2 alpha) (+.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) (-.f64 -2 alpha))
(/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) (+.f64 alpha 2))
(/.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha (-.f64 -2 alpha))) (-.f64 -2 alpha))
(/.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha (-.f64 -2 alpha))) (+.f64 alpha 2))
(/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (-.f64 -2 alpha) (+.f64 alpha 2)))
(/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (+.f64 alpha 2) (-.f64 -2 alpha)))
(/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 1 (*.f64 (+.f64 alpha 2) (-.f64 -2 alpha))))
(/.f64 (/.f64 alpha 1) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 -2 alpha)))
(/.f64 (/.f64 alpha 1) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2)))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (*.f64 (sqrt.f64 (-.f64 -2 alpha)) (/.f64 (+.f64 alpha 2) alpha))) (sqrt.f64 (-.f64 -2 alpha)))
(/.f64 (/.f64 alpha (*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (/.f64 (+.f64 alpha 2) alpha))) (cbrt.f64 (-.f64 -2 alpha)))
(/.f64 (/.f64 alpha (sqrt.f64 (-.f64 -2 alpha))) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (sqrt.f64 (-.f64 -2 alpha))))
(/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (cbrt.f64 (-.f64 -2 alpha))))
(/.f64 (.f64 (neg.f64 alpha) 1) (.f64 (-.f64 -2 alpha) (/.f64 (+.f64 alpha 2) alpha)))
(/.f64 (.f64 (neg.f64 alpha) 1) (.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha 2) alpha)))
(/.f64 (.f64 (neg.f64 alpha) 1) (.f64 1 (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha 2) alpha))))
(/.f64 -1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha)))
(/.f64 -1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (neg.f64 (/.f64 (+.f64 alpha 2) alpha))))
(/.f64 (neg.f64 (neg.f64 alpha)) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 -2 alpha)))
(/.f64 (neg.f64 (neg.f64 alpha)) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2)))
(/.f64 (neg.f64 (*.f64 alpha alpha)) (pow.f64 (-.f64 -2 alpha) 2))
(/.f64 (neg.f64 (*.f64 alpha alpha)) (neg.f64 (pow.f64 (-.f64 -2 alpha) 2)))
(/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 1 (neg.f64 (pow.f64 (-.f64 -2 alpha) 2))))
(/.f64 (neg.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha))) (-.f64 -2 alpha))
(/.f64 (neg.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha))) (+.f64 alpha 2))
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)
(pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) 3)
(pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6) 1/3)
(neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))
(sqrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(log.f64 (/.f64 1 (exp.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (-.f64 -2 alpha))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)
(+.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (neg.f64 (/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(+.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (*.f64 1 (neg.f64 (/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(+.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 1)
(+.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) 1) (.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(+.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) 1))
(+.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 1) (.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) 1) (.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(+.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) 1))
(-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(-.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 0)
(-.f64 0 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))
(-.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))))) 1)
(-.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))) 1)
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 -1 (+.f64 (/.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 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))))
(*.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 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (/.f64 1 (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(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)
(pow.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) -1)
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(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))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3) (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))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(fma.f64 1 (/.f64 alpha (-.f64 -2 alpha)) 1)
(fma.f64 alpha (/.f64 1 (+.f64 alpha 2)) 1)
(fma.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)

Outputs
1
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 1 (.f64 -1/4 (.f64 alpha alpha)))
(fma.f64 -1/4 (*.f64 alpha alpha) 1)
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 alpha 3)) (.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (.f64 -1/4 (.f64 alpha alpha))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (.f64 (.f64 -1/4 alpha) alpha)))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 alpha 3)) (+.f64 (.f64 -3/16 (pow.f64 alpha 4)) (*.f64 -1/4 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (fma.f64 -3/16 (pow.f64 alpha 4) (.f64 -1/4 (.f64 alpha alpha)))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (fma.f64 -3/16 (pow.f64 alpha 4) (.f64 (.f64 -1/4 alpha) alpha))))
(/.f64 4 alpha)
(-.f64 (.f64 4 (/.f64 1 alpha)) (.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha)))
(-.f64 (/.f64 4 alpha) (/.f64 (/.f64 12 alpha) alpha))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha))))
(+.f64 (/.f64 4 alpha) (-.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 (/.f64 12 alpha) alpha)))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 alpha))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) (.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 80 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 4 alpha) (-.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 (/.f64 12 alpha) alpha))) (/.f64 80 (pow.f64 alpha 4)))
(/.f64 4 alpha)
(-.f64 (.f64 4 (/.f64 1 alpha)) (.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha)))
(-.f64 (/.f64 4 alpha) (/.f64 (/.f64 12 alpha) alpha))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha))))
(+.f64 (/.f64 4 alpha) (-.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 (/.f64 12 alpha) alpha)))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 alpha))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) (.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 80 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 4 alpha) (-.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 (/.f64 12 alpha) alpha))) (/.f64 80 (pow.f64 alpha 4)))
(*.f64 1/4 (pow.f64 alpha 2))
(.f64 1/4 (.f64 alpha alpha))
(.f64 alpha (.f64 alpha 1/4))
(+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (.f64 1/4 (pow.f64 alpha 2)))
(fma.f64 -1/4 (pow.f64 alpha 3) (.f64 1/4 (.f64 alpha alpha)))
(fma.f64 -1/4 (pow.f64 alpha 3) (.f64 alpha (.f64 alpha 1/4)))
(+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 3/16 (pow.f64 alpha 4) (.f64 1/4 (.f64 alpha alpha))))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 1/4 (.f64 alpha alpha) (.f64 (pow.f64 alpha 4) 3/16)))
(+.f64 (.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (.f64 3/16 (pow.f64 alpha 4)) (.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 3/16 (pow.f64 alpha 4) (.f64 1/4 (.f64 alpha alpha)))))
(fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 1/4 (.f64 alpha alpha) (.f64 (pow.f64 alpha 4) 3/16))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
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(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (.f64 4 (/.f64 1 alpha)))
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (/.f64 4 alpha)))
(+.f64 1 (+.f64 (/.f64 (/.f64 12 alpha) alpha) (/.f64 -4 alpha)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (/.f64 12 (*.f64 alpha alpha))) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3))))
(+.f64 (/.f64 (/.f64 12 alpha) alpha) (-.f64 (+.f64 1 (/.f64 -4 alpha)) (/.f64 32 (pow.f64 alpha 3))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
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(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (.f64 4 (/.f64 1 alpha)))
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(+.f64 1 (+.f64 (/.f64 (/.f64 12 alpha) alpha) (/.f64 -4 alpha)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (/.f64 12 (*.f64 alpha alpha))) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3))))
(+.f64 (/.f64 (/.f64 12 alpha) alpha) (-.f64 (+.f64 1 (/.f64 -4 alpha)) (/.f64 32 (pow.f64 alpha 3))))
1
(+.f64 1 (*.f64 -1/2 alpha))
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(fma.f64 alpha -1/2 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 (.f64 alpha (.f64 alpha 1/4)) (fma.f64 alpha -1/2 1))
(+.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)))))
(fma.f64 (pow.f64 alpha 3) -1/8 (+.f64 (.f64 alpha (.f64 alpha 1/4)) (fma.f64 alpha -1/2 1)))
(/.f64 2 alpha)
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(+.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) 1))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 1 (-.f64 0 (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 0)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(-.f64 0 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))
(+.f64 1 (-.f64 0 (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(-.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(-.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))
(/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))
(/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.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 1 (/.f64 alpha (-.f64 -2 alpha)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))
(/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))
(*.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 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))
(/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (/.f64 1 (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) 1) (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) -1)
(+.f64 1 (-.f64 0 (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))
(/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2))
(fabs.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))) 1))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(fma.f64 1 (/.f64 alpha (-.f64 -2 alpha)) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(fma.f64 alpha (/.f64 1 (+.f64 alpha 2)) 1)
(+.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(fma.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))

localize3.0ms (0%)

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

localize8.0ms (0.1%)

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1)
✓	0.3%	(*.f64 (/.f64 1 beta) (-.f64 beta alpha))

Compiler

Compiled 39 to 22 computations (43.6% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`associate-*l/`
940×	`*-commutative`
658×	`associate-/r*`
614×	`distribute-lft-in`
596×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	202	32
2	2787	32

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) beta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (fma.f64 (neg.f64 alpha) 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (fma.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (fma.f64 (neg.f64 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (fma.f64 (neg.f64 alpha) 1 alpha) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha) alpha) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) 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simplify139.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1112×	`associate-+r-`
954×	`associate-/l*`
754×	`+-commutative`
574×	`times-frac`
548×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	525	8386
1	1573	7738
2	7425	7724

Stop Event

1×	node limit

Counts

240 → 307

Calls

Call 1

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

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

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
✓	0.39%	(/.f64 8 (pow.f64 alpha 3))
✓	0.6%	(/.f64 4 (*.f64 alpha alpha))
✓	13.08%	(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))

Compiler

Compiled 67 to 44 computations (34.3% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(/.f64 8 (pow.f64 alpha 3))
0.0ms	alpha	@	0	(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
0.0ms	alpha	@	0	(/.f64 4 (*.f64 alpha alpha))
0.0ms	alpha	@	0	(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
0.0ms	alpha	@	-inf	(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))

rewrite137.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`associate-/l*`
856×	`associate-/r/`
736×	`associate-/l/`
328×	`add-sqr-sqrt`
320×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	94
1	336	78
2	4825	78

Stop Event

1×	node limit

Counts

4 → 306

Calls

Call 1

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

Outputs
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(neg.f64 alpha) (.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))) (neg.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 4))) (neg.f64 (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 alpha) (.f64 (pow.f64 alpha -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 alpha) (.f64 (pow.f64 alpha -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (.f64 (pow.f64 alpha -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))))))

simplify180.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1452×	`associate-l`
1108×	`associate-/l*`
1044×	`*-commutative`
992×	`associate-/r*`
744×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	836	20398
1	2682	19716

Stop Event

1×	node limit

Counts

342 → 557

Calls

Call 1

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

Outputs
(/.f64 8 (pow.f64 alpha 3))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.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 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.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 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(/.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 (/.f64 4 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 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 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 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(/.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 (/.f64 4 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 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 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 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha 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 (/.f64 4 alpha)) 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 (/.f64 4 alpha)) 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 (/.f64 4 alpha)) alpha)
(/.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 (/.f64 4 alpha)) 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 (/.f64 4 alpha)) 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 (/.f64 4 alpha)) alpha)
(/.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 (/.f64 4 alpha)) 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 (/.f64 4 alpha)) 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 (/.f64 4 alpha)) alpha)
(-.f64 (/.f64 2 alpha) (-.f64 (.f64 4 (pow.f64 alpha -2)) (.f64 8 (pow.f64 alpha -3))))
(+.f64 (*.f64 8 (pow.f64 alpha -3)) (fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha)))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2)))
(-.f64 (/.f64 2 alpha) (-.f64 (.f64 4 (pow.f64 alpha -2)) (.f64 8 (pow.f64 alpha -3))))
(+.f64 (*.f64 8 (pow.f64 alpha -3)) (fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) (-.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (+.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 (pow.f64 alpha -2) -4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (fma.f64 8 (pow.f64 alpha -3) (*.f64 -4 (pow.f64 alpha -2)))))
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (*.f64 -4 (pow.f64 alpha -2))) (-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (+.f64 1 (-.f64 (.f64 4 (pow.f64 alpha -2)) (.f64 8 (pow.f64 alpha -3)))))
(+.f64 (-.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) 1) (.f64 4 (pow.f64 alpha -2))) (.f64 8 (pow.f64 alpha -3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) 1)
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (-.f64 1 (*.f64 8 (pow.f64 alpha -3))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 1) (*.f64 8 (pow.f64 alpha -3)))
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (exp.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) -1)
(-.f64 (/.f64 (/.f64 64 (pow.f64 alpha 6)) (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (/.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(-.f64 (/.f64 4 (/.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (pow.f64 alpha -2))) (-.f64 (/.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))) (*.f64 8 (pow.f64 alpha -3))))
(+.f64 (-.f64 (/.f64 4 (/.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (pow.f64 alpha -2))) (/.f64 16 (.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (pow.f64 alpha 4)))) (.f64 8 (pow.f64 alpha -3)))
(+.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(-.f64 (/.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))))) (-.f64 (/.f64 64 (.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (pow.f64 alpha 6))) (*.f64 8 (pow.f64 alpha -3))))
(+.f64 (-.f64 (/.f64 8 (/.f64 (fma.f64 8 (pow.f64 alpha -3) (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4)))) (pow.f64 alpha -3))) (/.f64 64 (.f64 (pow.f64 alpha 6) (fma.f64 8 (pow.f64 alpha -3) (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4))))))) (.f64 8 (pow.f64 alpha -3)))
(+.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))) (fma.f64 8 (pow.f64 alpha -3) (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4))))))
(-.f64 (/.f64 2 (/.f64 (pow.f64 alpha 3) (.f64 alpha alpha))) (-.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) 4)) (.f64 8 (pow.f64 alpha -3))))
(-.f64 (.f64 (/.f64 2 (pow.f64 alpha 3)) (.f64 alpha alpha)) (+.f64 (.f64 (/.f64 alpha (pow.f64 alpha 3)) 4) (.f64 -8 (pow.f64 alpha -3))))
(+.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 (/.f64 (.f64 alpha alpha) 1/2) (/.f64 alpha 1/4)) (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 8 (pow.f64 alpha -3)) (exp.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 1) (*.f64 8 (pow.f64 alpha -3)))
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (exp.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) -1)
(-.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 4 (/.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (pow.f64 alpha -2)))) (/.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(+.f64 (-.f64 (/.f64 4 (/.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (pow.f64 alpha -2))) (/.f64 16 (.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (pow.f64 alpha 4)))) (.f64 8 (pow.f64 alpha -3)))
(+.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(-.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))))) (/.f64 64 (.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (pow.f64 alpha 6))))
(+.f64 (-.f64 (/.f64 8 (/.f64 (fma.f64 8 (pow.f64 alpha -3) (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4)))) (pow.f64 alpha -3))) (/.f64 64 (.f64 (pow.f64 alpha 6) (fma.f64 8 (pow.f64 alpha -3) (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4))))))) (.f64 8 (pow.f64 alpha -3)))
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(-.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 2 (/.f64 (pow.f64 alpha 3) (.f64 alpha alpha)))) (/.f64 alpha (/.f64 (pow.f64 alpha 3) 4)))
(-.f64 (.f64 (/.f64 2 (pow.f64 alpha 3)) (.f64 alpha alpha)) (+.f64 (.f64 (/.f64 alpha (pow.f64 alpha 3)) 4) (.f64 -8 (pow.f64 alpha -3))))
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(-.f64 (+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3))))) 1)
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(-.f64 (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) 0) (*.f64 4 (pow.f64 alpha -2)))
(-.f64 (/.f64 2 alpha) (-.f64 (.f64 4 (pow.f64 alpha -2)) (.f64 8 (pow.f64 alpha -3))))
(+.f64 (*.f64 8 (pow.f64 alpha -3)) (fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha)))
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1)
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(*.f64 1 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
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(*.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2))
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2) (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))
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(/.f64 (-.f64 (/.f64 16 (pow.f64 alpha 4)) (.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 16 (pow.f64 alpha 4)))) (.f64 (+.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 (-.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 (/.f64 256 (pow.f64 alpha 4)) (pow.f64 alpha 4))) (.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (.f64 (/.f64 64 (pow.f64 alpha 6)) (/.f64 64 (pow.f64 alpha 6)))) (.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))))
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (.f64 (/.f64 64 (pow.f64 alpha 6)) (/.f64 64 (pow.f64 alpha 6)))) (.f64 (fma.f64 8 (pow.f64 alpha -3) (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4)))) (fma.f64 8 (pow.f64 alpha -3) (/.f64 64 (pow.f64 alpha 6)))))
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (/.f64 (/.f64 4096 (pow.f64 alpha 6)) (pow.f64 alpha 6))) (*.f64 (fma.f64 8 (pow.f64 alpha -3) (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4)))) (fma.f64 8 (pow.f64 alpha -3) (/.f64 64 (pow.f64 alpha 6)))))
(/.f64 (-.f64 (.f64 (.f64 2 (.f64 alpha alpha)) (.f64 2 (.f64 alpha alpha))) (.f64 (.f64 alpha 4) (.f64 alpha 4))) (.f64 (pow.f64 alpha 3) (+.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 4))))
(/.f64 (-.f64 (.f64 4 (pow.f64 alpha 4)) (.f64 (.f64 alpha alpha) 16)) (.f64 (pow.f64 alpha 3) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha 4))))
(/.f64 (-.f64 (.f64 4 (pow.f64 alpha 4)) (.f64 alpha (.f64 alpha 16))) (.f64 (pow.f64 alpha 3) (fma.f64 2 (.f64 alpha alpha) (.f64 alpha 4))))
(/.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (pow.f64 (.f64 (pow.f64 alpha -2) -4) 3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (-.f64 (.f64 (.f64 (pow.f64 alpha -2) -4) (.f64 (pow.f64 alpha -2) -4)) (.f64 (/.f64 2 alpha) (.f64 (pow.f64 alpha -2) -4)))))
(/.f64 (fma.f64 8 (pow.f64 alpha -3) (.f64 (pow.f64 (pow.f64 alpha -2) 3) -64)) (fma.f64 4 (pow.f64 alpha -2) (.f64 (.f64 -4 (pow.f64 alpha -2)) (-.f64 (.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha)))))
(/.f64 (fma.f64 8 (pow.f64 alpha -3) (.f64 (pow.f64 (pow.f64 alpha -2) 3) -64)) (fma.f64 4 (pow.f64 alpha -2) (.f64 -4 (.f64 (pow.f64 alpha -2) (-.f64 (.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha))))))
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 16 (pow.f64 alpha 4)) 3)) (.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (+.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 16 (pow.f64 alpha 4)))) (/.f64 64 (pow.f64 alpha 6)))))
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (/.f64 4096 (pow.f64 (pow.f64 alpha 4) 3))) (.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (+.f64 (/.f64 64 (pow.f64 alpha 6)) (*.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) 1) (/.f64 16 (pow.f64 alpha 4))))))
(/.f64 (/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (/.f64 4096 (pow.f64 (pow.f64 alpha 4) 3))) (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))) (+.f64 (/.f64 64 (pow.f64 alpha 6)) (.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 1 (/.f64 16 (pow.f64 alpha 4))))))
(/.f64 (-.f64 (/.f64 512 (pow.f64 (pow.f64 alpha 3) 3)) (pow.f64 (/.f64 64 (pow.f64 alpha 6)) 3)) (.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (+.f64 (/.f64 64 (pow.f64 alpha 6)) (+.f64 (/.f64 512 (pow.f64 (pow.f64 alpha 3) 3)) (.f64 (/.f64 64 (pow.f64 alpha 6)) (/.f64 64 (pow.f64 alpha 6)))))))
(/.f64 (-.f64 (/.f64 512 (pow.f64 (pow.f64 alpha 3) 3)) (pow.f64 (/.f64 64 (pow.f64 alpha 6)) 3)) (.f64 (fma.f64 8 (pow.f64 alpha -3) (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4)))) (+.f64 (/.f64 64 (pow.f64 alpha 6)) (+.f64 (/.f64 512 (pow.f64 (pow.f64 alpha 3) 3)) (.f64 (/.f64 64 (pow.f64 alpha 6)) (/.f64 64 (pow.f64 alpha 6)))))))
(/.f64 (/.f64 (-.f64 (/.f64 512 (pow.f64 (pow.f64 alpha 3) 3)) (/.f64 262144 (pow.f64 (pow.f64 alpha 6) 3))) (fma.f64 8 (pow.f64 alpha -3) (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4))))) (+.f64 (+.f64 (/.f64 64 (pow.f64 alpha 6)) (/.f64 (/.f64 4096 (pow.f64 alpha 6)) (pow.f64 alpha 6))) (/.f64 512 (pow.f64 (pow.f64 alpha 3) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 alpha alpha)) 3) (pow.f64 (.f64 alpha 4) 3)) (.f64 (pow.f64 alpha 3) (+.f64 (+.f64 (.f64 (.f64 2 (.f64 alpha alpha)) (.f64 2 (.f64 alpha alpha))) (.f64 (.f64 alpha 4) (.f64 alpha 4))) (.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 4)))))
(/.f64 (-.f64 (.f64 8 (pow.f64 (.f64 alpha alpha) 3)) (.f64 (pow.f64 alpha 3) 64)) (.f64 (pow.f64 alpha 3) (+.f64 (.f64 4 (pow.f64 alpha 4)) (+.f64 (.f64 (.f64 alpha alpha) 16) (.f64 2 (.f64 (.f64 alpha alpha) (*.f64 alpha 4)))))))
(/.f64 (-.f64 (.f64 8 (pow.f64 (.f64 alpha alpha) 3)) (.f64 (pow.f64 alpha 3) 64)) (+.f64 (.f64 8 (pow.f64 (.f64 alpha alpha) 3)) (.f64 (pow.f64 alpha 3) (+.f64 (.f64 4 (pow.f64 alpha 4)) (.f64 alpha (*.f64 alpha 16))))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 (.f64 2 (.f64 (.f64 alpha alpha) 1/4)) alpha) (.f64 alpha (.f64 (.f64 alpha alpha) 1/4)))
(/.f64 (-.f64 (.f64 2 (.f64 alpha (.f64 alpha 1/4))) alpha) (.f64 (pow.f64 alpha 3) 1/4))
(/.f64 (-.f64 (.f64 alpha (.f64 alpha 1/2)) alpha) (*.f64 (pow.f64 alpha 3) 1/4))
(/.f64 (-.f64 (.f64 2 alpha) (.f64 alpha (/.f64 4 alpha))) (*.f64 alpha alpha))
(/.f64 (-.f64 (.f64 alpha 2) (/.f64 (.f64 alpha 4) alpha)) (*.f64 alpha alpha))
(/.f64 (-.f64 (.f64 alpha 2) (.f64 alpha (/.f64 4 alpha))) (*.f64 alpha alpha))
(/.f64 (-.f64 (.f64 2 (.f64 alpha (neg.f64 alpha))) (*.f64 alpha -4)) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (-.f64 (.f64 alpha (.f64 (neg.f64 alpha) 2)) (*.f64 alpha -4)) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (-.f64 (.f64 alpha alpha) (.f64 (.f64 alpha 1/2) 4)) (.f64 (.f64 alpha 1/2) (.f64 alpha alpha)))
(/.f64 (-.f64 (.f64 alpha alpha) (.f64 alpha 2)) (.f64 (.f64 alpha alpha) (*.f64 alpha 1/2)))
(/.f64 (-.f64 (.f64 alpha alpha) (.f64 alpha 2)) (*.f64 1/2 (pow.f64 alpha 3)))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) 1/4) (.f64 (.f64 alpha 1/2) 1)) (*.f64 (pow.f64 alpha 3) 1/8))
(/.f64 (/.f64 (-.f64 (.f64 alpha (.f64 alpha 1/4)) (*.f64 alpha 1/2)) (pow.f64 alpha 3)) 1/8)
(/.f64 (-.f64 (.f64 alpha (.f64 alpha 1/4)) (.f64 alpha 1/2)) (.f64 (pow.f64 alpha 3) 1/8))
(/.f64 (-.f64 alpha (.f64 (.f64 alpha 1/2) (/.f64 4 alpha))) (.f64 (.f64 alpha 1/2) alpha))
(/.f64 (-.f64 alpha (/.f64 (.f64 alpha 2) alpha)) (.f64 alpha (*.f64 alpha 1/2)))
(/.f64 (-.f64 alpha (.f64 alpha (/.f64 2 alpha))) (.f64 alpha (*.f64 alpha 1/2)))
(/.f64 (-.f64 (.f64 alpha (neg.f64 alpha)) (.f64 (.f64 alpha 1/2) -4)) (.f64 (.f64 alpha 1/2) (.f64 alpha (neg.f64 alpha))))
(/.f64 (-.f64 (.f64 alpha (neg.f64 alpha)) (.f64 alpha -2)) (.f64 (.f64 alpha (neg.f64 alpha)) (*.f64 alpha 1/2)))
(/.f64 (fma.f64 alpha (neg.f64 alpha) (neg.f64 (.f64 alpha -2))) (.f64 1/2 (neg.f64 (pow.f64 alpha 3))))
(/.f64 (-.f64 (.f64 -2 (.f64 alpha alpha)) (*.f64 (neg.f64 alpha) 4)) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (+.f64 (.f64 -2 (.f64 alpha alpha)) (*.f64 alpha 4)) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (+.f64 (.f64 alpha 4) (.f64 alpha (*.f64 alpha -2))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (-.f64 (.f64 -2 (.f64 (.f64 alpha alpha) 1/4)) (.f64 (neg.f64 alpha) 1)) (.f64 (neg.f64 alpha) (.f64 (*.f64 alpha alpha) 1/4)))
(/.f64 (-.f64 (.f64 -2 (.f64 alpha (.f64 alpha 1/4))) (neg.f64 alpha)) (neg.f64 (.f64 (pow.f64 alpha 3) 1/4)))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) -1/2) (neg.f64 alpha)) (*.f64 (neg.f64 (pow.f64 alpha 3)) 1/4))
(/.f64 (-.f64 (.f64 -2 alpha) (.f64 (neg.f64 alpha) (/.f64 4 alpha))) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (+.f64 (.f64 alpha -2) (/.f64 (.f64 alpha 4) alpha)) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (+.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha -2)) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (-.f64 (.f64 -2 (.f64 alpha (neg.f64 alpha))) (.f64 (neg.f64 alpha) -4)) (.f64 (neg.f64 alpha) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (+.f64 (.f64 (.f64 alpha -2) (neg.f64 alpha)) (.f64 alpha -4)) (.f64 (neg.f64 alpha) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (+.f64 (.f64 alpha -4) (.f64 alpha (*.f64 (neg.f64 alpha) -2))) (neg.f64 (neg.f64 (pow.f64 alpha 3))))
(/.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))))
(/.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (+.f64 (/.f64 -2 alpha) (neg.f64 (.f64 4 (pow.f64 alpha -2)))))
(/.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (-.f64 (/.f64 -2 alpha) (.f64 4 (pow.f64 alpha -2))))
(/.f64 (neg.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))) (neg.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))))))
(/.f64 (neg.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))) (neg.f64 (fma.f64 8 (pow.f64 alpha -3) (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4))))))
(/.f64 (neg.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (*.f64 alpha 4))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 alpha alpha) 1/2) (/.f64 alpha 1/4))) (neg.f64 (pow.f64 alpha 3)))
(pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3)
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3)
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) 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 2 (/.f64 4 alpha)) alpha))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(fma.f64 2 (/.f64 1 alpha) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha))
(fma.f64 1 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2)))

eval781.0ms (7.5%)

Compiler: Compiled 38096 to 27638 computations (27.5% saved)

prune520.0ms (5%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	1273	4	1277
Fresh	1	3	4
Picked	1	0	1
Done	3	10	13
Total	1278	17	1295

Error

0.06%

Counts

1295 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.42%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
	77.56%	(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
	77.57%	(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2)
	72.87%	(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) beta)) 1) 2)
	72.87%	(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
✓	48.75%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	51.1%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	28.16%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	30.02%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	77.04%	(/.f64 (+.f64 (.f64 (/.f64 (/.f64 2 alpha) (.f64 alpha alpha)) 4) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
✓	28.2%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
✓	52.32%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	67.87%	(/.f64 (+.f64 1 beta) alpha)
	87.89%	(/.f64 beta alpha)
✓	67.89%	(/.f64 2 2)
✓	75.86%	(/.f64 1 alpha)
✓	49.54%	(/.f64 1 2)

Compiler

Compiled 196 to 154 computations (21.4% saved)

regimes206.0ms (2%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

5 calls:

119.0ms	beta
32.0ms	alpha
20.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
3.61%	2	`alpha`
21.52%	7	`beta`
0.18%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.18%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.18%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 658 to 460 computations (30.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999969	-0.9999583113085544

Compiler

Compiled 20 to 15 computations (25% saved)

regimes132.0ms (1.3%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

5 calls:

79.0ms	beta
21.0ms	alpha
14.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
3.61%	2	`alpha`
21.63%	7	`beta`
0.19%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.19%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.19%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 291 to 202 computations (30.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999969	-0.9999583113085544

Compiler

Compiled 20 to 15 computations (25% saved)

regimes102.0ms (1%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

5 calls:

58.0ms	beta
18.0ms	alpha
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
3.61%	2	`alpha`
21.63%	7	`beta`
0.2%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.2%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.2%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 185 to 134 computations (27.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999969	-0.9999583113085544

Compiler

Compiled 20 to 15 computations (25% saved)

regimes75.0ms (0.7%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

55.0ms	beta
16.0ms	alpha

Results

Error	Segments	Branch
4.9%	2	`alpha`
23.3%	7	`beta`

Compiler

Compiled 120 to 91 computations (24.2% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	52.18917222930949	47972.64085942301

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 180 to 143 computations (20.6% saved)

regimes54.0ms (0.5%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	beta
21.0ms	alpha

Results

Error	Segments	Branch
19.53%	4	`alpha`
26.88%	6	`beta`

Compiler

Compiled 51 to 40 computations (21.6% saved)

bsearch108.0ms (1%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.3375241305618655	31.188734536315895
76.0ms	-2.117183350881565e-162	-1.586755543996532e-164
15.0ms	-1.092137196148781e-127	-1.4751379465393845e-130

Results

36.0ms

352×

body

256

valid

Compiler

Compiled 386 to 345 computations (10.6% saved)

regimes50.0ms (0.5%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	beta
18.0ms	alpha

Results

Error	Segments	Branch
19.95%	4	`alpha`
26.88%	6	`beta`

Compiler

Compiled 37 to 29 computations (21.6% saved)

bsearch43.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	52.18917222930949	47972.64085942301
12.0ms	-2.117183350881565e-162	-1.586755543996532e-164
15.0ms	-1.092137196148781e-127	-1.4751379465393845e-130

Results

37.0ms

368×

body

256

valid

Compiler

Compiled 312 to 291 computations (6.7% saved)

regimes94.0ms (0.9%)

Counts

5 → 8

Calls

Call 1

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

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

Calls

2 calls:

61.0ms	alpha
32.0ms	beta

Results

Error	Segments	Branch
26.17%	6	`alpha`
25.52%	8	`beta`

Compiler

Compiled 25 to 20 computations (20% saved)

bsearch122.0ms (1.2%)

Algorithm

7×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.2942037149923938e+203	1.8307049274984022e+204
12.0ms	5.463342163969072e+190	3.924135995885034e+191
7.0ms	4.031937766430162e+113	5.1066434560855267e+113
28.0ms	4.949849975000256e+41	6.419256606097935e+43
24.0ms	31.832777465943792	60666.71421277805
23.0ms	-1.4641345810992705e-222	-7.297201373878389e-228
17.0ms	-1.4547730628378376e-199	-2.427024431766825e-201

Results

72.0ms	566×	body	256	valid
23.0ms	96×	body	1024	valid
17.0ms	70×	body	512	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 572 to 507 computations (11.4% saved)

regimes26.0ms (0.3%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	beta
12.0ms	alpha

Results

Error	Segments	Branch
28.37%	4	`alpha`
29.2%	4	`beta`

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch38.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
14.0ms	52.18917222930949	47972.64085942301
13.0ms	-2.117183350881565e-162	-1.586755543996532e-164
10.0ms	-1.092137196148781e-127	-1.4751379465393845e-130

Results

34.0ms

336×

body

256

valid

Compiler

Compiled 272 to 259 computations (4.8% saved)

regimes16.0ms (0.2%)

Accuracy

Total -42.1b remaining (-218%)

Threshold costs -42.1b (-218%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	beta
6.0ms	alpha

Results

Error	Segments	Branch
30.17%	2	`alpha`
46.51%	3	`beta`

Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	52.18917222930949	47972.64085942301

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 116 to 103 computations (11.2% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative`
10×	`*-commutative`
8×	`not-or`
6×	`sub-neg`
6×	`not-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	570
1	113	570
2	129	570
3	139	570
4	145	570
5	149	570
6	150	570
7	151	570

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503419483385401/4503599627370496) (/.f64 (+.f64 1 beta) alpha) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503419483385401/4503599627370496) (/.f64 (+.f64 1 beta) alpha) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503419483385401/4503599627370496) (/.f64 (+.f64 1 beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 8200) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha -7492196520758381/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -4457487427508879/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (/.f64 2 2) (if (<=.f64 alpha 8106479329266893/4503599627370496) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (+.f64 1 beta) alpha))))
(if (<=.f64 alpha -7492196520758381/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 1 2) (if (<=.f64 alpha -132964823831941/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (/.f64 2 2) (if (<=.f64 alpha 54) (/.f64 1 2) (/.f64 (+.f64 1 beta) alpha))))
(if (<=.f64 beta -1723641332219371/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (/.f64 1 2) (if (<=.f64 beta -248259814700727/203491651394038521547847039511757134922630564035519658215217828728150550470508791245160894801988351157926327837934364027279321339542216951915385621714197694277806322617004838820284371518304871360136871830318804992117027222823378335301632) (/.f64 1 alpha) (if (<=.f64 beta 32) (/.f64 1 2) (if (<=.f64 beta 62000000000000003092399195862051909428838400) (/.f64 2 2) (if (<=.f64 beta 409999999999999992709043583187581112621823653252501654224296994894064122616483548276437764869069933400287218761728) (/.f64 beta alpha) (if (<=.f64 beta 379999999999999980085048124145065237575046087164571680588378043958266602046879414992911370452124697465394783362345039401377806825119468567854547312745261914335217952130114068202021765276237824) (/.f64 2 2) (if (<=.f64 beta 129999999999999991578252124310298566002044256853898107762311617677485215777316218677445966221638380767990947004109041799859720954868321452383298308871341082700705887766697027133049781280615353131315757056) (/.f64 beta alpha) (/.f64 2 2))))))))
(if (<=.f64 alpha -7492196520758381/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 1 2) (if (<=.f64 alpha -4457487427508879/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (/.f64 2 2) (if (<=.f64 alpha 53) (/.f64 1 2) (/.f64 1 alpha))))
(if (<=.f64 alpha 53) (/.f64 1 2) (/.f64 1 alpha))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503419483385401/4503599627370496) (/.f64 (+.f64 1 beta) alpha) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503419483385401/4503599627370496) (/.f64 (+.f64 beta 1) alpha) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503419483385401/4503599627370496) (/.f64 (+.f64 1 beta) alpha) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503419483385401/4503599627370496) (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503419483385401/4503599627370496) (/.f64 (+.f64 1 beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503419483385401/4503599627370496) (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 8200) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 8200) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 alpha -7492196520758381/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -4457487427508879/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (/.f64 2 2) (if (<=.f64 alpha 8106479329266893/4503599627370496) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (+.f64 1 beta) alpha))))
(if (<=.f64 alpha -7492196520758381/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -4457487427508879/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) 1 (if (<=.f64 alpha 8106479329266893/4503599627370496) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (+.f64 beta 1) alpha))))
(if (<=.f64 alpha -7492196520758381/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 1 2) (if (<=.f64 alpha -132964823831941/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (/.f64 2 2) (if (<=.f64 alpha 54) (/.f64 1 2) (/.f64 (+.f64 1 beta) alpha))))
(if (<=.f64 alpha -7492196520758381/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) 1/2 (if (<=.f64 alpha -132964823831941/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) 1 (if (<=.f64 alpha 54) 1/2 (/.f64 (+.f64 beta 1) alpha))))
(if (<=.f64 beta -1723641332219371/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (/.f64 1 2) (if (<=.f64 beta -248259814700727/203491651394038521547847039511757134922630564035519658215217828728150550470508791245160894801988351157926327837934364027279321339542216951915385621714197694277806322617004838820284371518304871360136871830318804992117027222823378335301632) (/.f64 1 alpha) (if (<=.f64 beta 32) (/.f64 1 2) (if (<=.f64 beta 62000000000000003092399195862051909428838400) (/.f64 2 2) (if (<=.f64 beta 409999999999999992709043583187581112621823653252501654224296994894064122616483548276437764869069933400287218761728) (/.f64 beta alpha) (if (<=.f64 beta 379999999999999980085048124145065237575046087164571680588378043958266602046879414992911370452124697465394783362345039401377806825119468567854547312745261914335217952130114068202021765276237824) (/.f64 2 2) (if (<=.f64 beta 129999999999999991578252124310298566002044256853898107762311617677485215777316218677445966221638380767990947004109041799859720954868321452383298308871341082700705887766697027133049781280615353131315757056) (/.f64 beta alpha) (/.f64 2 2))))))))
(if (<=.f64 beta -1723641332219371/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) 1/2 (if (<=.f64 beta -248259814700727/203491651394038521547847039511757134922630564035519658215217828728150550470508791245160894801988351157926327837934364027279321339542216951915385621714197694277806322617004838820284371518304871360136871830318804992117027222823378335301632) (/.f64 1 alpha) (if (<=.f64 beta 32) 1/2 (if (<=.f64 beta 62000000000000003092399195862051909428838400) 1 (if (<=.f64 beta 409999999999999992709043583187581112621823653252501654224296994894064122616483548276437764869069933400287218761728) (/.f64 beta alpha) (if (<=.f64 beta 379999999999999980085048124145065237575046087164571680588378043958266602046879414992911370452124697465394783362345039401377806825119468567854547312745261914335217952130114068202021765276237824) 1 (if (<=.f64 beta 129999999999999991578252124310298566002044256853898107762311617677485215777316218677445966221638380767990947004109041799859720954868321452383298308871341082700705887766697027133049781280615353131315757056) (/.f64 beta alpha) 1)))))))
(if (<=.f64 alpha -7492196520758381/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (/.f64 1 2) (if (<=.f64 alpha -4457487427508879/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (/.f64 2 2) (if (<=.f64 alpha 53) (/.f64 1 2) (/.f64 1 alpha))))
(if (<=.f64 alpha -7492196520758381/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) 1/2 (if (<=.f64 alpha -4457487427508879/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) 1 (if (<=.f64 alpha 53) 1/2 (/.f64 1 alpha))))
(if (<=.f64 alpha 53) (/.f64 1 2) (/.f64 1 alpha))
(if (<=.f64 alpha 53) 1/2 (/.f64 1 alpha))
(/.f64 1 2)
1/2

Compiler

Compiled 252 to 182 computations (27.8% saved)

soundness478.0ms (4.6%)

Algorithm

3×	egg-herbie

Rules

1390×	`unswap-sqr`
1176×	`associate-/r*`
982×	`associate-/l*`
982×	`associate-/l*`
722×	`fma-def`

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	285	3735
1	758	3259
2	3135	2779
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
1×	node limit
1×	node limit

Compiler

Compiled 308 to 247 computations (19.8% saved)

end149.0ms (1.4%)

Compiler: Compiled 234 to 160 computations (31.6% saved)