Details

analyze35.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample2.4s (13.2%)

Results

1.6s	6496×	body	256	valid
667.0ms	1042×	body	1024	valid
111.0ms	607×	body	512	valid
37.0ms	111×	body	2048	valid

Bogosity

preprocess69.0ms (0.4%)

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)

simplify69.0ms (0.4%)

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

17.4b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	2.1b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite139.0ms (0.8%)

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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simplify196.0ms (1.1%)

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)))

eval375.0ms (2.1%)

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

prune112.0ms (0.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	336	18	354
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	336	19	355

Error

0.1b

Counts

355 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.7b	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
	17.9b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 2)
	32.4b	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1))) 2)
	32.5b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
	32.5b	(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4) -1) (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) 2)
▶	44.1b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	17.4b	(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
	32.5b	(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2)
▶	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	17.5b	(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
	32.2b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	17.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	19.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	46.8b	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	61.6b	(/.f64 (+.f64 -1 1) 2)
	46.1b	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
	44.1b	(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
▶	17.4b	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	41.8b	(/.f64 2 2)

Compiler

Compiled 841 to 605 computations (28.1% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
✓	0.0b	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	0.0b	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	2.1b	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 73 to 47 computations (35.6% saved)

series11.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	-inf	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
1.0ms	alpha	@	0	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
0.0ms	alpha	@	inf	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
0.0ms	alpha	@	-inf	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
0.0ms	beta	@	0	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)

rewrite182.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`associate-/r/`
904×	`associate-/l/`
404×	`+-commutative`
378×	`associate-+l+`
342×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	118
1	321	100
2	5017	100

Stop Event

1×	node limit

Counts

4 → 227

Calls

Call 1

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

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

simplify247.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1182×	`associate-r`
1054×	`*-commutative`
1022×	`distribute-lft-in`
1006×	`associate-l`
810×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	826	19495
1	2663	19401

Stop Event

1×	node limit

Counts

323 → 534

Calls

Call 1

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

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

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

44 → 44

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	17.7b	(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 50 to 31 computations (38% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite89.0ms (0.5%)

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)))))))))

simplify132.0ms (0.7%)

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

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
✓	0.0b	(exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
✓	2.1b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
✓	2.1b	(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%)

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))

rewrite133.0ms (0.7%)

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

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

simplify157.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	648	18827
1	1934	17985

Stop Event

1×	node limit

Counts

283 → 358

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))))))
(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))
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1
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(.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)))))

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

eval989.0ms (5.4%)

Compiler: Compiled 40154 to 28261 computations (29.6% saved)

prune329.0ms (1.8%)

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	1155	17	1172
Fresh	9	4	13
Picked	1	0	1
Done	0	5	5
Total	1165	26	1191

Error

0.1b

Counts

1191 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	17.9b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)) 3)
✓	17.7b	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
	44.4b	(/.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) 2)
	32.5b	(/.f64 (/.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)))))) 2)
	32.5b	(/.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)
▶	32.5b	(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4) -1) (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) 2)
✓	44.1b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	44.1b	(/.f64 (/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha) 2)
	57.7b	(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
▶	48.0b	(/.f64 (/.f64 2 alpha) 2)
	46.1b	(/.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)
	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) (.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2)
	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 2)
▶	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)
	44.0b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 2)
✓	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) 2)
	17.5b	(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
	32.2b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	17.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	19.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	57.7b	(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
▶	59.7b	(/.f64 (log.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)) 2)
✓	41.8b	(/.f64 2 2)
	46.8b	(+.f64 1 (/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))))
	32.9b	(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) 1/2) (+.f64 (.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))

Compiler

Compiled 1174 to 854 computations (27.3% saved)

localize74.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
✓	0.0b	(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
✓	0.1b	(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
✓	2.0b	(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))

Compiler

Compiled 214 to 146 computations (31.8% saved)

series26.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	0	(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
3.0ms	beta	@	0	(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
3.0ms	alpha	@	inf	(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
2.0ms	beta	@	inf	(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
2.0ms	alpha	@	inf	(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))

rewrite156.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`associate-/r/`
534×	`associate-+l+`
430×	`+-commutative`
408×	`add-sqr-sqrt`
394×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	166
1	405	162
2	5809	162

Stop Event

1×	node limit

Counts

4 → 261

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha 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(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 alpha (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))))

simplify242.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1680×	`associate-r`
1404×	`+-commutative`
1192×	`associate-+r+`
786×	`associate-+l+`
732×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1199	36537
1	4112	35871

Stop Event

1×	node limit

Counts

357 → 547

Calls

Call 1

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

Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1)
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) -1)
(+.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) 1)
(+.f64 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 -1 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(-.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) -1)
(+.f64 -1 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2))) alpha)
(/.f64 (*.f64 (+.f64 beta 2) -3) alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) 6)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) 6) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (.f64 -1 (+.f64 (/.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) 6)) (+.f64 (/.f64 (.f64 (.f64 -3 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3)) (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) -3)))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))))))))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (fma.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) -3) (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2))))))))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (+.f64 (/.f64 (.f64 (.f64 -3 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3)) (fma.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (+.f64 (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) -3))) (/.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2))))))))))
(.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) alpha))
(neg.f64 (/.f64 (+.f64 (+.f64 beta 6) (*.f64 beta 2)) alpha))
(neg.f64 (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 6)) alpha))
(+.f64 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))))
(+.f64 (/.f64 (+.f64 4 (.f64 beta 2)) (/.f64 (.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 (+.f64 beta 6) (.f64 beta 2)) alpha))))
(+.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) 6) (neg.f64 (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 6)) alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)))))
(fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (fma.f64 4 (pow.f64 (+.f64 beta 2) 3) (fma.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2) (.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (.f64 beta 2)))))) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 beta 6) (.f64 beta 2)) alpha)) (/.f64 (+.f64 4 (.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))))
(fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (fma.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2) (fma.f64 4 (pow.f64 (+.f64 beta 2) 3) (.f64 (pow.f64 (+.f64 beta 2) 3) 2)))) (pow.f64 alpha 3)) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) 6) (neg.f64 (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 6)) alpha))))
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(fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (fma.f64 4 (pow.f64 (+.f64 beta 2) 3) (fma.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2) (.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (/.f64 (+.f64 4 (.f64 beta 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 4 (.f64 beta 2)) (/.f64 (.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (+.f64 (/.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (neg.f64 (/.f64 (+.f64 (+.f64 beta 6) (*.f64 beta 2)) alpha)))))))))
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-1
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1
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1
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(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) 1)
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 2)
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
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(-.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
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(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(.f64 (sqrt.f64 alpha) (.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
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(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
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(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(.f64 (pow.f64 (cbrt.f64 alpha) 2) (.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (.f64 (cbrt.f64 alpha) 1) (+.f64 alpha (+.f64 beta 2))))
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(.f64 (/.f64 alpha 1) (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
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(.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (-.f64 alpha (+.f64 beta 2))))
(.f64 (.f64 alpha (-.f64 alpha (+.f64 beta 2))) (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
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(.f64 alpha (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
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(.f64 (/.f64 (.f64 (neg.f64 alpha) 1) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (/.f64 (neg.f64 alpha) (-.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 beta 2) 3))))
(.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 alpha (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(.f64 alpha (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(.f64 (/.f64 (/.f64 alpha 1) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 alpha (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (/.f64 (/.f64 alpha 1) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(.f64 alpha (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 alpha (neg.f64 (-.f64 alpha (+.f64 beta 2)))) (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (.f64 alpha (+.f64 (neg.f64 alpha) (+.f64 beta 2))) (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (/.f64 alpha (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(.f64 (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (/.f64 alpha (-.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 beta 2) 3))))
(.f64 (/.f64 (/.f64 alpha 1) (-.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha))) (+.f64 beta (-.f64 2 alpha)))
(/.f64 (.f64 alpha (+.f64 beta (-.f64 2 alpha))) (-.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)))
(.f64 (/.f64 (/.f64 alpha 1) (-.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (+.f64 beta -2)))
(*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 alpha (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4)))
(.f64 (/.f64 (/.f64 alpha 1) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 4 (.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))
(.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (/.f64 alpha (.f64 (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 alpha (.f64 (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 alpha (.f64 (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -1)
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha))
(neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))

localize7.0ms (0%)

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 25 computations (34.2% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`associate-*l/`
1158×	`associate-/r*`
1028×	`*-commutative`
986×	`associate-/l*`
528×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	231	32
2	3377	32

Stop Event

1×	node limit

Counts

2 → 308

Calls

Call 1

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

Outputs

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

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

simplify178.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1004×	`associate-/l*`
814×	`associate-r`
774×	`associate-l`
576×	`associate-+l+`
522×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	666	12222
1	2054	11358

Stop Event

1×	node limit

Counts

344 → 454

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)
✓	0.0b	(-.f64 (*.f64 -1 beta) (+.f64 beta 2))
✓	6.4b	(log.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) 1))

Compiler

Compiled 83 to 62 computations (25.3% saved)

series18.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

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

rewrite103.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`associate-/l*`
674×	`associate-/r/`
592×	`associate-/l/`
340×	`add-sqr-sqrt`
330×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	334	55
2	4825	55

Stop Event

1×	node limit

Counts

3 → 219

Calls

Call 1

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

Outputs

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

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

simplify144.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

856×	`associate-r`
666×	`distribute-lft-in`
646×	`+-commutative`
640×	`associate-l`
574×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	606	11513
1	1815	10433

Stop Event

1×	node limit

Counts

267 → 405

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (*.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 2 (/.f64 beta (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha))) (log.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha)))))
(+.f64 (.f64 2 (/.f64 beta (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha))) (+.f64 (.f64 -2 (/.f64 (pow.f64 beta 2) (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 2) (pow.f64 alpha 2)))) (log.f64 (+.f64 1 (*.f64 2 (/.f64 1 alpha))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 beta 3) (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 3) (pow.f64 alpha 3)))) (+.f64 (.f64 2 (/.f64 beta (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha))) (+.f64 (.f64 -2 (/.f64 (pow.f64 beta 2) (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 2) (pow.f64 alpha 2)))) (log.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 beta))) (log.f64 (/.f64 2 alpha)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 beta))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha) beta)) (log.f64 (/.f64 2 alpha))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 beta))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 2) (pow.f64 alpha 2)) (pow.f64 beta 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha) beta)) (log.f64 (/.f64 2 alpha)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 beta))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 3) (pow.f64 alpha 3)) (pow.f64 beta 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 2) (pow.f64 alpha 2)) (pow.f64 beta 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha) beta)) (log.f64 (/.f64 2 alpha))))))
(+.f64 (log.f64 (neg.f64 (.f64 2 (/.f64 1 alpha)))) (.f64 -1 (log.f64 (/.f64 -1 beta))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha) beta)) (+.f64 (log.f64 (neg.f64 (.f64 2 (/.f64 1 alpha)))) (*.f64 -1 (log.f64 (/.f64 -1 beta)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 2) (pow.f64 alpha 2)) (pow.f64 beta 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha) beta)) (+.f64 (log.f64 (neg.f64 (.f64 2 (/.f64 1 alpha)))) (.f64 -1 (log.f64 (/.f64 -1 beta))))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 3) (pow.f64 alpha 3)) (pow.f64 beta 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 2) (pow.f64 alpha 2)) (pow.f64 beta 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha) beta)) (+.f64 (log.f64 (neg.f64 (.f64 2 (/.f64 1 alpha)))) (*.f64 -1 (log.f64 (/.f64 -1 beta)))))))
(+.f64 (log.f64 (.f64 -1 (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (*.f64 -1 (log.f64 alpha)))
(+.f64 (log.f64 (.f64 -1 (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (.f64 -1 (log.f64 alpha)) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))
(+.f64 (log.f64 (.f64 -1 (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2))) (+.f64 (.f64 -1 (log.f64 alpha)) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))))
(+.f64 (log.f64 (.f64 -1 (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2))) (+.f64 (.f64 -1 (log.f64 alpha)) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 3))) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (.f64 -1/3 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 3) (pow.f64 alpha 3)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 4) (pow.f64 alpha 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (.f64 -1/3 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 3) (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 -1/2 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (.f64 -1/3 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 3) (pow.f64 alpha 3)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 4) (pow.f64 alpha 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (.f64 -1/3 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 3) (pow.f64 alpha 3))))))
-2
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(/.f64 -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 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 0)
(+.f64 0 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)) 2))) (log.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))) (log.f64 (+.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 3))) (log.f64 (+.f64 1 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2)))) (log.f64 (+.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 3)))) (log.f64 (+.f64 1 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))) 1)
(*.f64 1 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(*.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 1)
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(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))) 2)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2) (+.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))) (+.f64 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))) 1))
(-.f64 (/.f64 beta (/.f64 alpha -2)) (/.f64 2 alpha))
(-.f64 (-.f64 0 (/.f64 beta alpha)) (neg.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(*.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 1 alpha))
(.f64 (+.f64 (+.f64 beta beta) -2) (.f64 (/.f64 1 alpha) -1))
(*.f64 (+.f64 (+.f64 beta beta) -2) (neg.f64 (/.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) -1)
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)
(*.f64 1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 1))
(.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) -1))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))
(.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) (.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2) (.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) (/.f64 1 alpha)))
(*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1 alpha))
(*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 (+.f64 beta beta) -2))
(*.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 beta beta)))
(.f64 (.f64 -1 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))) (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 (+.f64 beta beta) -2) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (+.f64 beta beta) -2) (cbrt.f64 alpha)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))) (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(*.f64 (/.f64 1 (neg.f64 alpha)) (+.f64 2 (+.f64 beta beta)))
(*.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 (+.f64 beta beta) -2) (sqrt.f64 alpha)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (+.f64 beta beta) -2) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 alpha) (+.f64 (+.f64 beta beta) -2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) 1) (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) alpha) (sqrt.f64 (+.f64 (+.f64 beta beta) -2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2) alpha) (cbrt.f64 (+.f64 (+.f64 beta beta) -2)))
(*.f64 (/.f64 -1 (/.f64 alpha 1)) (+.f64 (+.f64 beta beta) -2))
(*.f64 (/.f64 -1 (/.f64 alpha (sqrt.f64 (+.f64 (+.f64 beta beta) -2)))) (sqrt.f64 (+.f64 (+.f64 beta beta) -2)))
(*.f64 (/.f64 -1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2))) (cbrt.f64 (+.f64 (+.f64 beta beta) -2)))
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2))) (cbrt.f64 (+.f64 (+.f64 beta beta) -2)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 alpha)) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (+.f64 beta beta) -2))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 alpha)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (.f64 beta beta) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 alpha)) (-.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) (-.f64 (.f64 beta beta) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 alpha)) (+.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) 3))) (-.f64 (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (.f64 (.f64 beta beta) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))))
(pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 3)
(pow.f64 (/.f64 alpha (+.f64 (+.f64 beta beta) -2)) -1)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 3) 1/3)
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta beta) -2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))

Outputs
(log.f64 (+.f64 1 (*.f64 2 (/.f64 1 alpha))))
(log1p.f64 (/.f64 2 alpha))
(+.f64 (.f64 2 (/.f64 beta (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha))) (log.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha)))))
(fma.f64 2 (/.f64 beta (*.f64 alpha (+.f64 1 (/.f64 2 alpha)))) (log1p.f64 (/.f64 2 alpha)))
(fma.f64 2 (/.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 2 alpha))) (log1p.f64 (/.f64 2 alpha)))
(+.f64 (.f64 2 (/.f64 beta (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha))) (+.f64 (.f64 -2 (/.f64 (pow.f64 beta 2) (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 2) (pow.f64 alpha 2)))) (log.f64 (+.f64 1 (*.f64 2 (/.f64 1 alpha))))))
(fma.f64 2 (/.f64 beta (.f64 alpha (+.f64 1 (/.f64 2 alpha)))) (fma.f64 -2 (/.f64 (.f64 beta beta) (.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 2) (.f64 alpha alpha))) (log1p.f64 (/.f64 2 alpha))))
(fma.f64 2 (/.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 2 alpha))) (fma.f64 -2 (.f64 (/.f64 beta (pow.f64 (+.f64 1 (/.f64 2 alpha)) 2)) (/.f64 beta (.f64 alpha alpha))) (log1p.f64 (/.f64 2 alpha))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 beta 3) (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 3) (pow.f64 alpha 3)))) (+.f64 (.f64 2 (/.f64 beta (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha))) (+.f64 (.f64 -2 (/.f64 (pow.f64 beta 2) (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 2) (pow.f64 alpha 2)))) (log.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha)))))))
(fma.f64 8/3 (/.f64 (pow.f64 beta 3) (.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 3) (pow.f64 alpha 3))) (fma.f64 2 (/.f64 beta (.f64 alpha (+.f64 1 (/.f64 2 alpha)))) (fma.f64 -2 (/.f64 (.f64 beta beta) (.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 2) (*.f64 alpha alpha))) (log1p.f64 (/.f64 2 alpha)))))
(fma.f64 8/3 (/.f64 (pow.f64 beta 3) (.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 3) (pow.f64 alpha 3))) (fma.f64 2 (/.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 2 alpha))) (fma.f64 -2 (.f64 (/.f64 beta (pow.f64 (+.f64 1 (/.f64 2 alpha)) 2)) (/.f64 beta (*.f64 alpha alpha))) (log1p.f64 (/.f64 2 alpha)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 beta))) (log.f64 (/.f64 2 alpha)))
(fma.f64 -1 (neg.f64 (log.f64 beta)) (log.f64 (/.f64 2 alpha)))
(+.f64 (log.f64 beta) (log.f64 (/.f64 2 alpha)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 beta))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha) beta)) (log.f64 (/.f64 2 alpha))))
(fma.f64 -1 (neg.f64 (log.f64 beta)) (fma.f64 1/2 (/.f64 (+.f64 1 (/.f64 2 alpha)) (/.f64 beta alpha)) (log.f64 (/.f64 2 alpha))))
(+.f64 (log.f64 beta) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 1 (/.f64 2 alpha)) beta) alpha) (log.f64 (/.f64 2 alpha))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 beta))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 2) (pow.f64 alpha 2)) (pow.f64 beta 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha) beta)) (log.f64 (/.f64 2 alpha)))))
(fma.f64 -1 (neg.f64 (log.f64 beta)) (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 2) (/.f64 (.f64 beta beta) (.f64 alpha alpha))) (fma.f64 1/2 (/.f64 (+.f64 1 (/.f64 2 alpha)) (/.f64 beta alpha)) (log.f64 (/.f64 2 alpha)))))
(+.f64 (log.f64 beta) (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 2) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (fma.f64 1/2 (.f64 (/.f64 (+.f64 1 (/.f64 2 alpha)) beta) alpha) (log.f64 (/.f64 2 alpha)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 beta))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 3) (pow.f64 alpha 3)) (pow.f64 beta 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 2) (pow.f64 alpha 2)) (pow.f64 beta 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha) beta)) (log.f64 (/.f64 2 alpha))))))
(fma.f64 -1 (neg.f64 (log.f64 beta)) (fma.f64 1/24 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 3) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 2) (/.f64 (.f64 beta beta) (.f64 alpha alpha))) (fma.f64 1/2 (/.f64 (+.f64 1 (/.f64 2 alpha)) (/.f64 beta alpha)) (log.f64 (/.f64 2 alpha))))))
(+.f64 (log.f64 beta) (fma.f64 1/24 (.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 3) (pow.f64 beta 3)) (pow.f64 alpha 3)) (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 2) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 1 (/.f64 2 alpha)) beta) alpha) (log.f64 (/.f64 2 alpha))))))
(+.f64 (log.f64 (neg.f64 (.f64 2 (/.f64 1 alpha)))) (.f64 -1 (log.f64 (/.f64 -1 beta))))
(+.f64 (log.f64 (neg.f64 (/.f64 2 alpha))) (neg.f64 (log.f64 (/.f64 -1 beta))))
(-.f64 (log.f64 (/.f64 -2 alpha)) (log.f64 (/.f64 -1 beta)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha) beta)) (+.f64 (log.f64 (neg.f64 (.f64 2 (/.f64 1 alpha)))) (*.f64 -1 (log.f64 (/.f64 -1 beta)))))
(fma.f64 1/2 (/.f64 (+.f64 1 (/.f64 2 alpha)) (/.f64 beta alpha)) (+.f64 (log.f64 (neg.f64 (/.f64 2 alpha))) (neg.f64 (log.f64 (/.f64 -1 beta)))))
(fma.f64 1/2 (*.f64 (/.f64 (+.f64 1 (/.f64 2 alpha)) beta) alpha) (-.f64 (log.f64 (/.f64 -2 alpha)) (log.f64 (/.f64 -1 beta))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 2) (pow.f64 alpha 2)) (pow.f64 beta 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha) beta)) (+.f64 (log.f64 (neg.f64 (.f64 2 (/.f64 1 alpha)))) (.f64 -1 (log.f64 (/.f64 -1 beta))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 2) (/.f64 (.f64 beta beta) (.f64 alpha alpha))) (fma.f64 1/2 (/.f64 (+.f64 1 (/.f64 2 alpha)) (/.f64 beta alpha)) (+.f64 (log.f64 (neg.f64 (/.f64 2 alpha))) (neg.f64 (log.f64 (/.f64 -1 beta))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 2) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (fma.f64 1/2 (.f64 (/.f64 (+.f64 1 (/.f64 2 alpha)) beta) alpha) (-.f64 (log.f64 (/.f64 -2 alpha)) (log.f64 (/.f64 -1 beta)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 3) (pow.f64 alpha 3)) (pow.f64 beta 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) 2) (pow.f64 alpha 2)) (pow.f64 beta 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 1 alpha))) alpha) beta)) (+.f64 (log.f64 (neg.f64 (.f64 2 (/.f64 1 alpha)))) (*.f64 -1 (log.f64 (/.f64 -1 beta)))))))
(fma.f64 1/24 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 3) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 2) (/.f64 (.f64 beta beta) (.f64 alpha alpha))) (fma.f64 1/2 (/.f64 (+.f64 1 (/.f64 2 alpha)) (/.f64 beta alpha)) (+.f64 (log.f64 (neg.f64 (/.f64 2 alpha))) (neg.f64 (log.f64 (/.f64 -1 beta)))))))
(fma.f64 1/24 (.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 3) (pow.f64 beta 3)) (pow.f64 alpha 3)) (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 alpha)) 2) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 1 (/.f64 2 alpha)) beta) alpha) (-.f64 (log.f64 (/.f64 -2 alpha)) (log.f64 (/.f64 -1 beta))))))
(+.f64 (log.f64 (.f64 -1 (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (*.f64 -1 (log.f64 alpha)))
(+.f64 (log.f64 (neg.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (neg.f64 (log.f64 alpha)))
(-.f64 (log.f64 (neg.f64 (fma.f64 -2 beta -2))) (log.f64 alpha))
(+.f64 (log.f64 (.f64 -1 (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (.f64 -1 (log.f64 alpha)) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))
(+.f64 (log.f64 (neg.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (fma.f64 -1 (log.f64 alpha) (/.f64 (neg.f64 alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta)))))
(-.f64 (-.f64 (log.f64 (neg.f64 (fma.f64 -2 beta -2))) (log.f64 alpha)) (/.f64 alpha (fma.f64 -2 beta -2)))
(+.f64 (log.f64 (.f64 -1 (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2))) (+.f64 (.f64 -1 (log.f64 alpha)) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))))
(+.f64 (log.f64 (neg.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (fma.f64 -1/2 (/.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (fma.f64 -1 (log.f64 alpha) (/.f64 (neg.f64 alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta))))))
(+.f64 (log.f64 (neg.f64 (fma.f64 -2 beta -2))) (-.f64 (-.f64 (/.f64 (.f64 (.f64 alpha alpha) -1/2) (pow.f64 (fma.f64 -2 beta -2) 2)) (log.f64 alpha)) (/.f64 alpha (fma.f64 -2 beta -2))))
(+.f64 (log.f64 (.f64 -1 (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2))) (+.f64 (.f64 -1 (log.f64 alpha)) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 3))) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))))
(+.f64 (log.f64 (neg.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (fma.f64 -1/2 (/.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (fma.f64 -1 (log.f64 alpha) (fma.f64 -1/3 (/.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 3)) (/.f64 (neg.f64 alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta)))))))
(+.f64 (log.f64 (neg.f64 (fma.f64 -2 beta -2))) (fma.f64 -1/2 (/.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 -2 beta -2) 2)) (-.f64 (fma.f64 -1/3 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 -2 beta -2) 3)) (/.f64 (neg.f64 alpha) (fma.f64 -2 beta -2))) (log.f64 alpha))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha))
(/.f64 (neg.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta))) alpha)
(neg.f64 (/.f64 (fma.f64 -2 beta -2) alpha))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (.f64 alpha alpha))))
(-.f64 (/.f64 (.f64 -1/2 (pow.f64 (fma.f64 -2 beta -2) 2)) (.f64 alpha alpha)) (/.f64 (fma.f64 -2 beta -2) alpha))
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(+.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (neg.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 beta alpha))
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (-.f64 0 (/.f64 beta alpha)) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (neg.f64 (/.f64 beta alpha)))
(-.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta alpha))
(+.f64 (-.f64 0 (/.f64 beta (/.f64 alpha -2))) (/.f64 2 alpha))
(/.f64 (neg.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta))) alpha)
(neg.f64 (/.f64 (fma.f64 -2 beta -2) alpha))
(-.f64 1 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(-.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1) 1)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(-.f64 0 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))) 2)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2) (+.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))) (+.f64 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))) 1))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2) (+.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))) (+.f64 1 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))))
(-.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2) (+.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))) 1) (/.f64 1 (+.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))
(-.f64 (/.f64 beta (/.f64 alpha -2)) (/.f64 2 alpha))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(-.f64 (-.f64 0 (/.f64 beta alpha)) (neg.f64 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (neg.f64 (/.f64 beta alpha)))
(-.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta alpha))
(*.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 1 alpha))
(/.f64 (+.f64 beta (+.f64 beta -2)) alpha)
(/.f64 (+.f64 beta (-.f64 beta 2)) alpha)
(.f64 (+.f64 (+.f64 beta beta) -2) (.f64 (/.f64 1 alpha) -1))
(neg.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(/.f64 (+.f64 2 (*.f64 beta -2)) alpha)
(*.f64 (+.f64 (+.f64 beta beta) -2) (neg.f64 (/.f64 1 alpha)))
(neg.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(/.f64 (+.f64 2 (*.f64 beta -2)) alpha)
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) -1)
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(*.f64 1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 1))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) -1))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) (.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) (/.f64 1 alpha)))
(/.f64 (+.f64 beta (+.f64 beta -2)) alpha)
(/.f64 (+.f64 beta (-.f64 beta 2)) alpha)
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 1))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2) (.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) (/.f64 1 alpha)))
(/.f64 (+.f64 beta (+.f64 beta -2)) alpha)
(/.f64 (+.f64 beta (-.f64 beta 2)) alpha)
(*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1 alpha))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1 (neg.f64 alpha)))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 (/.f64 1 alpha) (+.f64 (+.f64 beta beta) -2))
(/.f64 (+.f64 beta (+.f64 beta -2)) alpha)
(/.f64 (+.f64 beta (-.f64 beta 2)) alpha)
(*.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 beta beta)))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(.f64 (.f64 -1 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))) (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 (+.f64 beta beta) -2) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta (+.f64 beta -2)) (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 beta (-.f64 beta 2)) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (+.f64 beta beta) -2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 beta -2)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 beta (-.f64 beta 2)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))) (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 (/.f64 1 (neg.f64 alpha)) (+.f64 2 (+.f64 beta beta)))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 (+.f64 beta beta) -2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (sqrt.f64 alpha)) (/.f64 -1 (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 2 (*.f64 beta -2)) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (+.f64 beta beta) -2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (cbrt.f64 alpha)) (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (+.f64 2 (*.f64 beta -2)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 -1 alpha) (+.f64 (+.f64 beta beta) -2))
(neg.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(/.f64 (+.f64 2 (*.f64 beta -2)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) 1) (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) alpha))
(/.f64 (+.f64 beta (+.f64 beta -2)) alpha)
(/.f64 (+.f64 beta (-.f64 beta 2)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) alpha) (sqrt.f64 (+.f64 (+.f64 beta beta) -2)))
(/.f64 (+.f64 beta (+.f64 beta -2)) alpha)
(/.f64 (+.f64 beta (-.f64 beta 2)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 beta -2)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 beta (-.f64 beta 2)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) alpha))
(/.f64 (+.f64 beta (+.f64 beta -2)) alpha)
(/.f64 (+.f64 beta (-.f64 beta 2)) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta (+.f64 beta -2)) (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 beta (-.f64 beta 2)) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (-.f64 beta 2))) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2) alpha) (cbrt.f64 (+.f64 (+.f64 beta beta) -2)))
(/.f64 (+.f64 beta (+.f64 beta -2)) alpha)
(/.f64 (+.f64 beta (-.f64 beta 2)) alpha)
(*.f64 (/.f64 -1 (/.f64 alpha 1)) (+.f64 (+.f64 beta beta) -2))
(neg.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(/.f64 (+.f64 2 (*.f64 beta -2)) alpha)
(*.f64 (/.f64 -1 (/.f64 alpha (sqrt.f64 (+.f64 (+.f64 beta beta) -2)))) (sqrt.f64 (+.f64 (+.f64 beta beta) -2)))
(neg.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(/.f64 (+.f64 2 (*.f64 beta -2)) alpha)
(*.f64 (/.f64 -1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2))) (cbrt.f64 (+.f64 (+.f64 beta beta) -2)))
(neg.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(/.f64 (+.f64 2 (*.f64 beta -2)) alpha)
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2))) (cbrt.f64 (+.f64 (+.f64 beta beta) -2)))
(/.f64 (+.f64 beta (+.f64 beta -2)) alpha)
(/.f64 (+.f64 beta (-.f64 beta 2)) alpha)
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 alpha)) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (+.f64 beta beta) -2))
(/.f64 (+.f64 beta (+.f64 beta -2)) alpha)
(/.f64 (+.f64 beta (-.f64 beta 2)) alpha)
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 alpha)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (.f64 beta beta) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))
(.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 2 beta) 2)) (.f64 beta (+.f64 2 beta))) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 alpha))))
(.f64 (fma.f64 beta beta (.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta))) (/.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) alpha)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 alpha)) (-.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) (-.f64 (.f64 beta beta) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))
(.f64 (-.f64 (.f64 beta beta) (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (/.f64 (.f64 (/.f64 1 alpha) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (-.f64 (.f64 beta (pow.f64 beta 3)) (.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 2 (+.f64 beta beta)))))))
(/.f64 (.f64 (fma.f64 beta beta (.f64 (+.f64 2 beta) (fma.f64 -2 beta -2))) (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) alpha)) (+.f64 (pow.f64 beta 4) (.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -2 beta -2))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 alpha)) (+.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) 3))) (-.f64 (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (.f64 (.f64 beta beta) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))))
(.f64 (+.f64 (.f64 beta (pow.f64 beta 3)) (-.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 2 (+.f64 beta beta)))) (.f64 (.f64 beta beta) (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))) (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 3) (pow.f64 beta 6)) (/.f64 1 alpha))))
(.f64 (+.f64 (pow.f64 beta 4) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (-.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (.f64 beta beta)))) (/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) alpha) (+.f64 (pow.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 3) (pow.f64 beta 6))))
(pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 3)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(pow.f64 (/.f64 alpha (+.f64 (+.f64 beta beta) -2)) -1)
(/.f64 (+.f64 beta (+.f64 beta -2)) alpha)
(/.f64 (+.f64 beta (-.f64 beta 2)) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 3) 1/3)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))
(fabs.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 3))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta beta) -2) 3) (pow.f64 alpha 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3) (pow.f64 alpha 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (-.f64 beta 2)) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 1))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)

localize90.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)
✓	0.1b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4)
✓	1.9b	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
✓	3.9b	(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4) -1)

Compiler

Compiled 192 to 115 computations (40.1% saved)

series24.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	0	(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4) -1)
4.0ms	beta	@	-inf	(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4) -1)
2.0ms	alpha	@	-inf	(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4) -1)
2.0ms	beta	@	inf	(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4) -1)
2.0ms	alpha	@	inf	(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4) -1)

rewrite159.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`associate-/l*`
1150×	`associate-/r/`
392×	`+-commutative`
372×	`add-sqr-sqrt`
364×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	130
1	362	130
2	5201	130

Stop Event

1×	node limit

Counts

4 → 243

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 4) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 8) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 4) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 4) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 4) -1) 1)))) (#(struct:change #<rule egg-rr> (2) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule 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(.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 beta) (sqrt.f64 alpha)) (/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 beta alpha)) (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 beta alpha)) 1) (.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))))))

simplify243.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1474×	`+-commutative`
1388×	`associate-r`
1360×	`associate-+r+`
1142×	`associate-l`
796×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1201	35205
1	4060	35105

Stop Event

1×	node limit

Counts

339 → 702

Calls

Call 1

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

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

eval3.0s (16.2%)

Compiler: Compiled 131648 to 91760 computations (30.3% saved)

prune1.5s (8.3%)

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	2369	11	2380
Fresh	5	11	16
Picked	1	0	1
Done	5	4	9
Total	2380	26	2406

Error

Counts

2406 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	17.9b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)) 3)
	32.4b	(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 8) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4))) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4)))) (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) 2)
	35.2b	(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 alpha) 4)) 1) (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) 2)
	32.5b	(/.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)
	33.4b	(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4) -1) (.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) 2)
	44.1b	(/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2)
	57.7b	(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
✓	48.0b	(/.f64 (/.f64 2 alpha) 2)
	46.1b	(/.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)
	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 2)
	17.0b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) 2)
▶	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (/.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)
	44.0b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 2)
	35.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2) 1)) (+.f64 1 (.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)
▶	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)
✓	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	44.1b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 (.f64 (+.f64 beta 2) -3) alpha) 1/3)) 2)
	17.5b	(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
	32.2b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	17.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	19.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	57.7b	(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
	42.3b	(/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2)
▶	46.3b	(/.f64 (log1p.f64 (/.f64 2 alpha)) 2)
✓	41.8b	(/.f64 2 2)
▶	46.8b	(+.f64 1 (/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))))

Compiler

Compiled 1320 to 949 computations (28.1% saved)

localize137.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
	0.1b	(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
	2.0b	(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
✓	2.0b	(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))

Compiler

Compiled 245 to 171 computations (30.2% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	0	(/.f64 (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
1.0ms	alpha	@	-inf	(/.f64 (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
1.0ms	alpha	@	inf	(/.f64 (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
0.0ms	alpha	@	inf	(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))
0.0ms	beta	@	0	(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`associate-+l+`
444×	`+-commutative`
444×	`add-sqr-sqrt`
430×	`*-un-lft-identity`
426×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	122
1	454	118
2	6207	118

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs

(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))

(/.f64 (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) 1) 2)))) (#(struct:change #<rule egg-rr> (2) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify175.0ms (1%)

Algorithm

1×	egg-herbie

Rules

968×	`+-commutative`
886×	`distribute-lft-in`
830×	`distribute-rgt-in`
802×	`associate-r`
768×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	664	18714
1	2303	17718

Stop Event

1×	node limit

Counts

128 → 217

Calls

Call 1

Inputs
-1
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1)
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) 1)
(-.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2))) alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))))))))))))
(.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) alpha))
(+.f64 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)))))))))
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)) 1)
(-.f64 (+.f64 (.f64 beta (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) 1)
(-.f64 (+.f64 (.f64 beta (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)) (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))) 1)
(-.f64 (+.f64 (.f64 beta (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (.f64 -4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))) (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))))))) (+.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)) (.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (pow.f64 beta 5))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha) (pow.f64 beta 5)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (pow.f64 beta 5))))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))) (.f64 -1 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha)))) (pow.f64 beta 5)))))) 1)
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(.f64 1/3 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha))
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(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (neg.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(*.f64 (/.f64 1 (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 2)) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) 2))) (-.f64 (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) 3))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) 2) (-.f64 (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 2)) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) 2) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) -1)
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (neg.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) 3) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))

Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1)
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) -1)
(+.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) 1)
(+.f64 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 -1 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(-.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) -1)
(+.f64 -1 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2))) alpha)
(/.f64 (*.f64 (+.f64 beta 2) -3) alpha)
(/.f64 (+.f64 beta 2) (/.f64 alpha -3))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) 6)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (*.f64 alpha alpha) 6))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) 6) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (.f64 -1 (+.f64 (/.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (.f64 alpha alpha) 6))) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 3) -3) (pow.f64 alpha 3)) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)))))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))))))))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (fma.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2)))))))))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 3) -3) (pow.f64 alpha 3)) (fma.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)))))))))))))
(.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) alpha))
(neg.f64 (/.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) alpha))
(neg.f64 (/.f64 (+.f64 6 (+.f64 (*.f64 beta 2) beta)) alpha))
(+.f64 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))))
(+.f64 (/.f64 (+.f64 4 (.f64 beta 2)) (/.f64 (.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 beta (+.f64 6 (.f64 beta 2))) alpha))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (.f64 alpha alpha) 6)) (neg.f64 (/.f64 (+.f64 6 (+.f64 (.f64 beta 2) beta)) alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)))))
(fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (fma.f64 4 (pow.f64 (+.f64 beta 2) 3) (fma.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2) (.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (.f64 beta 2)))))) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (+.f64 (neg.f64 (/.f64 (+.f64 beta (+.f64 6 (.f64 beta 2))) alpha)) (/.f64 (+.f64 4 (.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))))
(fma.f64 -1 (/.f64 (+.f64 (+.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 3)) (.f64 (pow.f64 (+.f64 beta 2) 3) 4)) (.f64 3 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (.f64 alpha alpha) 6)) (neg.f64 (/.f64 (+.f64 6 (+.f64 (*.f64 beta 2) beta)) alpha))))
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(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))) (sqrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) 2) (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))) 2))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))) 2) (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (neg.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (neg.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 -1 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)))
(*.f64 (/.f64 1 (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 2)) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)) 2)) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)) 2))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) 2))) (-.f64 (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) 2))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) 2)) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) 3))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) 2) (-.f64 (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) 3))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) 2) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 2)) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)) 2)) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) 2) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 1 (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)) 2)))
(pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 1)
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))) 2)
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))) 3)
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 3) 1/3)
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(pow.f64 (/.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) -1)
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (neg.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) 3))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) 3) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1) 3)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 13 computations (35% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`add-sqr-sqrt`
1792×	`*-un-lft-identity`
1678×	`add-cube-cbrt`
1660×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	176	32
2	2254	32

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1600×	`associate-*l/`
1184×	`associate-+r-`
738×	`associate-/l*`
712×	`unswap-sqr`
584×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1004
1	285	1004
2	1195	992
3	7282	992

Stop Event

1×	node limit

Counts

100 → 56

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 42 to 32 computations (23.8% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`associate-*l/`
1522×	`associate-/r*`
1106×	`*-commutative`
932×	`associate-/l*`
652×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	228	36
2	3083	36

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1238×	`associate-/l/`
846×	`associate-/r/`
672×	`distribute-lft-neg-out`
624×	`distribute-rgt-neg-out`
514×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	357	4908
1	1017	4328
2	4144	3986

Stop Event

1×	node limit

Counts

180 → 211

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 2 alpha))

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	inf	(log1p.f64 (/.f64 2 alpha))
0.0ms	alpha	@	0	(log1p.f64 (/.f64 2 alpha))
0.0ms	alpha	@	-inf	(log1p.f64 (/.f64 2 alpha))

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`add-sqr-sqrt`
1294×	`*-un-lft-identity`
1206×	`add-cube-cbrt`
1194×	`add-cbrt-cube`
1180×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	144	11
2	1652	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(log1p.f64 (/.f64 2 alpha))

Outputs

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

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1264×	`fma-def`
1036×	`associate--r+`
852×	`*-commutative`
806×	`associate-*r/`
716×	`associate--l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	763
1	173	661
2	645	563
3	2446	551
4	5996	551

Stop Event

1×	node limit

Counts

27 → 47

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 alpha)))
(+.f64 (.f64 1/2 alpha) (+.f64 (log.f64 2) (.f64 -1 (log.f64 alpha))))
(+.f64 (.f64 1/2 alpha) (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 alpha)) (*.f64 -1/8 (pow.f64 alpha 2)))))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 1/24 (pow.f64 alpha 3)) (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 alpha)) (.f64 -1/8 (pow.f64 alpha 2))))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 4)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 4)))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) 1)
(*.f64 (log1p.f64 (/.f64 2 alpha)) 1)
(*.f64 1 (log1p.f64 (/.f64 2 alpha)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 alpha))) (sqrt.f64 (log1p.f64 (/.f64 2 alpha))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 alpha))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 alpha))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 alpha))))
(pow.f64 (log1p.f64 (/.f64 2 alpha)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 alpha))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 alpha))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 alpha)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 alpha)) 2))
(log.f64 (+.f64 (/.f64 2 alpha) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 alpha)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 alpha))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 alpha))))

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 alpha)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))
(-.f64 (log.f64 2) (log.f64 alpha))
(+.f64 (.f64 1/2 alpha) (+.f64 (log.f64 2) (.f64 -1 (log.f64 alpha))))
(fma.f64 1/2 alpha (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha))))
(-.f64 (fma.f64 alpha 1/2 (log.f64 2)) (log.f64 alpha))
(+.f64 (.f64 1/2 alpha) (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 alpha)) (*.f64 -1/8 (pow.f64 alpha 2)))))
(fma.f64 1/2 alpha (+.f64 (log.f64 2) (fma.f64 -1 (log.f64 alpha) (.f64 -1/8 (.f64 alpha alpha)))))
(+.f64 (-.f64 (.f64 alpha (.f64 alpha -1/8)) (log.f64 alpha)) (fma.f64 alpha 1/2 (log.f64 2)))
(fma.f64 alpha 1/2 (-.f64 (fma.f64 alpha (*.f64 alpha -1/8) (log.f64 2)) (log.f64 alpha)))
(fma.f64 alpha (fma.f64 alpha -1/8 1/2) (-.f64 (log.f64 2) (log.f64 alpha)))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 1/24 (pow.f64 alpha 3)) (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 alpha)) (.f64 -1/8 (pow.f64 alpha 2))))))
(fma.f64 1/2 alpha (fma.f64 1/24 (pow.f64 alpha 3) (+.f64 (log.f64 2) (fma.f64 -1 (log.f64 alpha) (.f64 -1/8 (.f64 alpha alpha))))))
(fma.f64 alpha 1/2 (+.f64 (-.f64 (.f64 alpha (.f64 alpha -1/8)) (log.f64 alpha)) (fma.f64 1/24 (pow.f64 alpha 3) (log.f64 2))))
(fma.f64 alpha 1/2 (fma.f64 1/24 (pow.f64 alpha 3) (-.f64 (fma.f64 alpha (*.f64 alpha -1/8) (log.f64 2)) (log.f64 alpha))))
(fma.f64 1/24 (pow.f64 alpha 3) (fma.f64 alpha (fma.f64 alpha -1/8 1/2) (-.f64 (log.f64 2) (log.f64 alpha))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -2 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8/3 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8/3 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 8/3 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8/3 (pow.f64 alpha 3))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 4 (pow.f64 alpha 4))))
(+.f64 (/.f64 8/3 (pow.f64 alpha 3)) (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 4))) (/.f64 2 (*.f64 alpha alpha))))
(+.f64 (/.f64 8/3 (pow.f64 alpha 3)) (+.f64 (/.f64 -2 (*.f64 alpha alpha)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 4)))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -2 (*.f64 alpha alpha))) (+.f64 (/.f64 8/3 (pow.f64 alpha 3)) (/.f64 -4 (pow.f64 alpha 4))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -2 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8/3 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8/3 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 8/3 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8/3 (pow.f64 alpha 3))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 4 (pow.f64 alpha 4))))
(+.f64 (/.f64 8/3 (pow.f64 alpha 3)) (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 4))) (/.f64 2 (*.f64 alpha alpha))))
(+.f64 (/.f64 8/3 (pow.f64 alpha 3)) (+.f64 (/.f64 -2 (*.f64 alpha alpha)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 4)))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -2 (*.f64 alpha alpha))) (+.f64 (/.f64 8/3 (pow.f64 alpha 3)) (/.f64 -4 (pow.f64 alpha 4))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))
(*.f64 (log1p.f64 (/.f64 2 alpha)) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))
(*.f64 1 (log1p.f64 (/.f64 2 alpha)))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 alpha))) (sqrt.f64 (log1p.f64 (/.f64 2 alpha))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 alpha))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 alpha))) 2))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 alpha))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 alpha))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))
(pow.f64 (log1p.f64 (/.f64 2 alpha)) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 alpha))) 2)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 alpha))) 3)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 alpha)) 3) 1/3)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 alpha)) 2))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))
(log.f64 (+.f64 (/.f64 2 alpha) 1))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 alpha)) 3))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 alpha))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 alpha))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 2 alpha))) -1)
(+.f64 (log1p.f64 (/.f64 2 alpha)) 0)
(log1p.f64 (/.f64 2 alpha))

localize159.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 -1 (/.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
✓	0.1b	(/.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3))
✓	0.2b	(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3)
✓	2.0b	(+.f64 -1 (/.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3)))

Compiler

Compiled 240 to 166 computations (30.8% saved)

series28.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	inf	(+.f64 -1 (/.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3)))
4.0ms	beta	@	0	(/.f64 (+.f64 -1 (/.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
3.0ms	alpha	@	-inf	(/.f64 (+.f64 -1 (/.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
2.0ms	alpha	@	inf	(/.f64 (+.f64 -1 (/.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
2.0ms	alpha	@	-inf	(+.f64 -1 (/.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3)))

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`associate-+l+`
456×	`add-sqr-sqrt`
446×	`+-commutative`
440×	`*-un-lft-identity`
438×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	172
1	456	168
2	6547	168

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6) (-.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6)) (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -9)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6)) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3/2)) (-.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6)) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6)) (-.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -9)) (+.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6)) (pow.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (pow.f64 alpha -1) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3/2) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (pow.f64 (/.f64 (+.f64 alpha 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((x .f64 (.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 2) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) 2) 3) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3/2) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 2) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 2) 1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 2) (+.f64 alpha (+.f64 beta 2))) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 2) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 2)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)) (neg.f64 (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) 3) (pow.f64 (neg.f64 alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 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simplify295.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1436×	`associate-r`
1278×	`associate-l`
1246×	`+-commutative`
898×	`associate-+r+`
766×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	939	30677
1	3223	29799

Stop Event

1×	node limit

Counts

243 → 412

Calls

Call 1

Inputs
-1
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 4) (+.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5))))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)) (+.f64 (.f64 6 (/.f64 1 (pow.f64 (+.f64 beta 2) 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (pow.f64 (+.f64 beta 2) 3))) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 4) (+.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5))))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) alpha))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)))) 1)
(*.f64 1 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 1)
(.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))) (sqrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) 2) (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))) 2) (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(*.f64 (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)))
(*.f64 (+.f64 1 (neg.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (/.f64 1 (neg.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(*.f64 (/.f64 1 (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 2)) (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (-.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) 2))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 2)) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) 2) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) 2) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1) (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) -1)
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (neg.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) 3) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))

Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1)
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) -1)
(+.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 4) (+.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5))))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) 1)
(+.f64 (fma.f64 -1 (.f64 (pow.f64 alpha 4) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 -1 (fma.f64 -1 (.f64 (pow.f64 alpha 4) (+.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)) (+.f64 (.f64 6 (/.f64 1 (pow.f64 (+.f64 beta 2) 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (pow.f64 (+.f64 beta 2) 3))) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 4) (+.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5))))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (fma.f64 -1 (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)) (+.f64 (/.f64 6 (pow.f64 (+.f64 beta 2) 6)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 2) (+.f64 4 (.f64 beta 2)))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5))))))) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 5)) (fma.f64 -1 (.f64 (pow.f64 alpha 4) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) -1)
(+.f64 -1 (fma.f64 -1 (.f64 (+.f64 (/.f64 6 (pow.f64 (+.f64 beta 2) 6)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 2 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)))) (/.f64 beta (pow.f64 (+.f64 beta 2) 6)))) (pow.f64 alpha 5)) (fma.f64 -1 (.f64 (pow.f64 alpha 4) (+.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) alpha))
(neg.f64 (/.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) alpha))
(neg.f64 (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 6)) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) 2)))) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)))
(fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 (+.f64 4 (.f64 beta 2)) (+.f64 beta 2) (neg.f64 (pow.f64 (+.f64 beta (+.f64 6 (.f64 beta 2))) 2)))) (.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 beta (+.f64 6 (.f64 beta 2))) alpha)))
(fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (pow.f64 (+.f64 (.f64 beta 2) (+.f64 beta 6)) 2) (.f64 2 (pow.f64 (+.f64 beta 2) 2)))) (.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 (.f64 beta 2) (+.f64 beta 6)) alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) 2)))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (.f64 -1 (pow.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) 2)) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)))) (+.f64 beta (+.f64 6 (.f64 2 beta))))) (+.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 -1 (.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2))))))) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) alpha))))
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1
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1
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(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(*.f64 (+.f64 1 (neg.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (/.f64 1 (neg.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (/.f64 1 (neg.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (/.f64 -1 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)))
(*.f64 (/.f64 1 (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 2)) (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 2))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (-.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) 2))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) 3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 2)) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 2)) (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) 2) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 1 (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (hypot.f64 1 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) 2) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) 2) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 2)))
(pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 1)
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))) 2)
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))) 3)
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 3) 1/3)
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(pow.f64 (/.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1) (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) -1)
(/.f64 1 (/.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1) (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (neg.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (neg.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) 3))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) 3) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1) 3)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))

eval2.0s (11.1%)

Compiler: Compiled 83317 to 62719 computations (24.7% saved)

prune387.0ms (2.1%)

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	1199	7	1206
Fresh	2	15	17
Picked	1	0	1
Done	3	5	8
Total	1205	27	1232

Error

Counts

1232 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	17.9b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)) 3)
	32.4b	(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 8) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4))) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4)))) (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) 2)
	32.5b	(/.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)
	33.4b	(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4) -1) (.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) 2)
	44.1b	(/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2)
	57.7b	(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
✓	48.0b	(/.f64 (/.f64 2 alpha) 2)
	46.1b	(/.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)
	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6) 1) (-.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3) -1)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)
	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 1 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)
	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 2)
	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)
	17.0b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) 2)
	44.0b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 2)
✓	16.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	44.1b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 (.f64 (+.f64 beta 2) -3) alpha) 1/3)) 2)
	49.1b	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha))) 2)
	17.5b	(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
	32.2b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	17.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	19.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	57.7b	(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
	42.3b	(/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2)
	57.7b	(/.f64 beta alpha)
✓	41.8b	(/.f64 2 2)
	44.8b	(+.f64 1 (/.f64 (neg.f64 alpha) beta))
	46.3b	(+.f64 1 (/.f64 -1 beta))

Compiler

Compiled 665 to 477 computations (28.3% saved)

regimes196.0ms (1.1%)

Counts

55 → 2

Calls

Call 1

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

Outputs

(/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2)

(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 1 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)

Calls

5 calls:

71.0ms	beta
49.0ms	alpha
26.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
9.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
1.7b	2	`alpha`
15.4b	3	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 1473 to 1009 computations (31.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999807764287	-0.9913220205462204

Compiler

Compiled 20 to 15 computations (25% saved)

regimes163.0ms (0.9%)

Counts

45 → 2

Calls

Call 1

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

Outputs

(/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2)

(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6) 1) (-.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3) -1)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)

Calls

5 calls:

63.0ms	beta
42.0ms	alpha
21.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
9.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
1.7b	2	`alpha`
15.4b	3	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 923 to 638 computations (30.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999807764287	-0.9913220205462204

Compiler

Compiled 20 to 15 computations (25% saved)

regimes213.0ms (1.2%)

Counts

44 → 2

Calls

Call 1

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

Outputs
(/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) 2)

Calls

5 calls:

101.0ms	beta
58.0ms	alpha
19.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
1.7b	2	`alpha`
15.4b	3	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 870 to 600 computations (31% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999807764287	-0.9913220205462204

Compiler

Compiled 20 to 15 computations (25% saved)

regimes181.0ms (1%)

Counts

40 → 2

Calls

Call 1

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

Outputs
(/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)

Calls

5 calls:

64.0ms	alpha
63.0ms	beta
19.0ms	(/.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
1.7b	2	`alpha`
15.4b	3	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 716 to 497 computations (30.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999807764287	-0.9913220205462204

Compiler

Compiled 20 to 15 computations (25% saved)

regimes230.0ms (1.3%)

Counts

25 → 2

Calls

Call 1

Inputs
(/.f64 2 2)
(/.f64 beta alpha)
(+.f64 1 (/.f64 -1 beta))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(/.f64 (*.f64 (/.f64 2 alpha) beta) 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 beta (+.f64 beta 2)) alpha) 2)
(/.f64 (/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha) 2)
(+.f64 1 (/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 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 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 (.f64 (+.f64 beta 2) -3) alpha) 1/3)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 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 (log1p.f64 (/.f64 2 alpha)) 2)

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

Calls

5 calls:

84.0ms	alpha
75.0ms	beta
53.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
2.0b	2	`alpha`
15.4b	3	`beta`
0.2b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.2b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.2b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 316 to 223 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999996584	-0.9999999807764287

Compiler

Compiled 20 to 15 computations (25% saved)

regimes81.0ms (0.4%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

5 calls:

29.0ms	beta
21.0ms	alpha
13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(+.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
2.0b	2	`alpha`
16.0b	3	`beta`
0.2b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.2b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.2b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 256 to 185 computations (27.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999996584	-0.9999999807764287

Compiler

Compiled 20 to 15 computations (25% saved)

regimes109.0ms (0.6%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

88.0ms	beta
17.0ms	alpha

Results

Error	Segments	Branch
3.2b	2	`alpha`
16.7b	4	`beta`

Compiler

Compiled 141 to 107 computations (24.1% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	84361142815451.52	346567409148581.8

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 164 to 129 computations (21.3% saved)

regimes41.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	beta
13.0ms	alpha

Results

Error	Segments	Branch
3.2b	2	`alpha`
16.7b	4	`beta`

Compiler

Compiled 76 to 58 computations (23.7% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	84361142815451.52	346567409148581.8

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 164 to 135 computations (17.7% saved)

regimes67.0ms (0.4%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	alpha
25.0ms	beta

Results

Error	Segments	Branch
7.5b	2	`alpha`
16.7b	4	`beta`

Compiler

Compiled 67 to 51 computations (23.9% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	84361142815451.52	346567409148581.8

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 140 to 117 computations (16.4% saved)

regimes27.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
30.1b	2	`alpha`
32.4b	2	`beta`

Compiler

Compiled 49 to 37 computations (24.5% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	84361142815451.52	346567409148581.8

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 104 to 93 computations (10.6% saved)

regimes16.0ms (0.1%)

Accuracy

Total -23.5b remaining (-59.7%)

Threshold costs -23.5b (-59.7%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	alpha
4.0ms	beta

Results

Error	Segments	Branch
39.4b	2	`alpha`
41.8b	1	`beta`

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch26.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	7.405029166044439e+117	6.362981697082753e+123

Results

21.0ms	116×	body	512	valid
3.0ms	28×	body	256	valid

Compiler

Compiled 128 to 105 computations (18% saved)

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

72×	`+-commutative`
42×	`sub-neg`
26×	`*-commutative`
22×	`neg-mul-1`
22×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1100
1	130	1100
2	160	1100
3	185	1100
4	202	1100
5	207	1100
6	208	1100

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 1 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6) 1) (-.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3) -1)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 175000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 95000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 95000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 175000000000000) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 52000000000000003188818427296192810979228895743867240039476410994218487451805716343808103404503471746345063206210240512) (/.f64 2 2) (/.f64 beta alpha))
(/.f64 2 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 1 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 1 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 -1 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3)) (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6) 1) (-.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3) -1)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6) -1) (+.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3) 1)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6)) (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -6)) (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -3))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 175000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 175000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 95000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 95000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 95000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 95000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 175000000000000) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 175000000000000) 1 (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 52000000000000003188818427296192810979228895743867240039476410994218487451805716343808103404503471746345063206210240512) (/.f64 2 2) (/.f64 beta alpha))
(if (<=.f64 alpha 52000000000000003188818427296192810979228895743867240039476410994218487451805716343808103404503471746345063206210240512) 1 (/.f64 beta alpha))
(/.f64 2 2)
1

Compiler

Compiled 415 to 299 computations (28% saved)

soundness656.0ms (3.6%)

Algorithm

5×	egg-herbie

Rules

1680×	`associate-r`
1404×	`+-commutative`
1192×	`associate-+r+`
1182×	`associate-r`
1054×	`*-commutative`

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	606	11513
1	1815	10433
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	826	19495
1	2663	19401
0	1199	36537
1	4112	35871

Stop Event

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

Compiler

Compiled 819 to 587 computations (28.3% saved)

end194.0ms (1.1%)

Compiler: Compiled 393 to 264 computations (32.8% saved)