Details

analyze73.0ms (0.7%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.6s (14.6%)

Results

1.1s	6523×	body	256	valid
350.0ms	1018×	body	1024	valid
122.0ms	616×	body	512	valid
52.0ms	99×	body	2048	valid

Bogosity

preprocess78.0ms (0.7%)

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)

simplify68.0ms (0.6%)

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

Accurracy

72.8%

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize18.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	96.4%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite114.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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

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

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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))))))

simplify126.0ms (1.2%)

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

eval284.0ms (2.6%)

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

prune75.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	346	8	354
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	346	9	355

Accurracy

99.9%

Counts

355 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.0%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	47.2%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	57.0%	(/.f64 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))) 1) 2)
✓	72.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	70.4%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	3.8%	(/.f64 (+.f64 -1 1) 2)
▶	27.6%	(/.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)
▶	31.0%	(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
▶	37.4%	(/.f64 2 2)

Compiler

Compiled 237 to 183 computations (22.8% saved)

localize15.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
✓	100.0%	(/.f64 beta (+.f64 beta 2))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

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

Outputs

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

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

94 → 133

Calls

Call 1

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

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

localize7.0ms (0.1%)

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

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 alpha (+.f64 alpha 2))
✓	96.9%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

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

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

simplify124.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

163 → 257

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)
✓	99.9%	(-.f64 (neg.f64 beta) (+.f64 2 beta))

Compiler

Compiled 44 to 25 computations (43.2% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`associate-/r*`
1614×	`associate-*l/`
1350×	`associate-/l*`
1060×	`*-commutative`
250×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	233	32
2	3557	32

Stop Event

1×	node limit

Counts

2 → 167

Calls

Call 1

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

Outputs

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

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

simplify141.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1156×	`+-commutative`
732×	`associate-+l-`
654×	`associate--l+`
552×	`associate-/l*`
508×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	8173
1	1078	6619
2	6050	6611

Stop Event

1×	node limit

Counts

203 → 278

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

localize55.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.9%	(-.f64 (neg.f64 beta) (+.f64 2 beta))
✓	99.9%	(pow.f64 (+.f64 2 beta) 2)
✓	95.5%	(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha))
✓	95.0%	(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)))

Compiler

Compiled 142 to 87 computations (38.7% saved)

series6.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite116.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	127
1	391	107
2	6623	107

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

Inputs

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

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

(pow.f64 (+.f64 2 beta) 2)

Outputs

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

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

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

simplify139.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1632×	`associate-*r/`
856×	`+-commutative`
778×	`associate--r+`
636×	`fma-def`
532×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	11552
1	1327	10190
2	5380	10170

Stop Event

1×	node limit

Counts

210 → 299

Calls

Call 1

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

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

eval578.0ms (5.3%)

Compiler: Compiled 33543 to 23679 computations (29.4% saved)

prune418.0ms (3.8%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1162	12	1174
Fresh	1	2	3
Picked	1	0	1
Done	0	5	5
Total	1164	19	1183

Accurracy

100.0%

Counts

1183 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.0%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	24.7%	(/.f64 (/.f64 2 alpha) 2)
	22.9%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	30.5%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	47.2%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	44.4%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
▶	57.0%	(/.f64 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))) 1) 2)
✓	72.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	70.4%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	42.5%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	10.6%	(/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (/.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) alpha) (.f64 alpha (+.f64 (+.f64 beta beta) -2))) (*.f64 alpha alpha))) 2)
	7.7%	(/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta (+.f64 beta 2)) (.f64 alpha alpha)) (.f64 (neg.f64 alpha) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) (.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 2)
▶	8.4%	(/.f64 (.f64 -1 (-.f64 (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))))) 2)
	29.6%	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))))) 2)
✓	31.0%	(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
	9.8%	(/.f64 (neg.f64 (/.f64 (*.f64 -2 beta) alpha)) 2)
	31.0%	(/.f64 (neg.f64 (*.f64 (/.f64 -1 alpha) (+.f64 2 (+.f64 beta beta)))) 2)
✓	37.4%	(/.f64 2 2)
▶	45.5%	(/.f64 1 2)

Compiler

Compiled 517 to 384 computations (25.7% saved)

localize26.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))
✓	97.7%	(-.f64 (.f64 beta beta) (.f64 alpha alpha))
✓	96.4%	(+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))) 1)
✓	56.2%	(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))))

Compiler

Compiled 96 to 38 computations (60.4% saved)

series59.0ms (0.5%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
45.0ms	alpha	@	inf	(*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))
2.0ms	beta	@	-inf	(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))))
1.0ms	alpha	@	0	(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))))
1.0ms	alpha	@	-inf	(+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))) 1)
1.0ms	alpha	@	inf	(+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))) 1)

rewrite114.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`associate-+l+`
488×	`+-commutative`
394×	`add-sqr-sqrt`
386×	`pow1`
386×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	148
1	368	100
2	6105	100

Stop Event

1×	node limit

Counts

4 → 268

Calls

Call 1

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

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

simplify186.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1344×	`associate-r`
1260×	`+-commutative`
1072×	`associate-l`
956×	`*-commutative`
904×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	979	20916
1	3306	20716

Stop Event

1×	node limit

Counts

364 → 532

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize8.0ms (0.1%)

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

localize26.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite59.0ms (0.5%)

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

((-.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))))

simplify49.0ms (0.4%)

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)

localize33.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 6 (*.f64 alpha alpha))
✓	99.7%	(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
✓	97.6%	(-.f64 (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))))
✓	89.5%	(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))

Compiler

Compiled 126 to 58 computations (54% saved)

series7.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	beta	@	0	(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
1.0ms	beta	@	inf	(-.f64 (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))))
0.0ms	alpha	@	0	(-.f64 (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))))
0.0ms	alpha	@	inf	(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
0.0ms	alpha	@	0	(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))

rewrite236.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`associate-/l*`
450×	`associate-+l+`
376×	`add-sqr-sqrt`
362×	`pow1`
362×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	112
1	360	100
2	5410	100

Stop Event

1×	node limit

Counts

4 → 296

Calls

Call 1

Inputs
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(-.f64 (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(/.f64 6 (*.f64 alpha alpha))

Outputs
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(.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))))) (fma.f64 2 (pow.f64 (/.f64 beta alpha) 2) (.f64 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (neg.f64 beta))) (fma.f64 (pow.f64 (/.f64 beta alpha) 2) 2 (.f64 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (neg.f64 beta))) (fma.f64 1 (.f64 2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (neg.f64 beta))) (fma.f64 1 (-.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))) (fma.f64 (neg.f64 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) beta (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))) (fma.f64 (sqrt.f64 (-.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))) (sqrt.f64 (-.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))) (fma.f64 (neg.f64 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) beta (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))) (fma.f64 (.f64 (/.f64 beta alpha) (sqrt.f64 2)) (.f64 (/.f64 beta alpha) (sqrt.f64 2)) (.f64 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (neg.f64 beta))) (fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))) 2) (cbrt.f64 (-.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))) (fma.f64 (neg.f64 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) beta (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))) (fma.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 beta alpha) 4) 4)) (cbrt.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2))) (.f64 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (neg.f64 beta))) (fma.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 beta alpha) (.f64 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (neg.f64 beta))))
((-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 beta alpha) 2))) 1) (/.f64 beta (/.f64 alpha (/.f64 beta alpha))) (/.f64 beta (.f64 alpha (/.f64 alpha beta))) (/.f64 beta (.f64 (/.f64 alpha beta) alpha)) (/.f64 beta (/.f64 (/.f64 alpha beta) (/.f64 1 alpha))) (/.f64 beta (/.f64 (.f64 alpha (/.f64 alpha beta)) 1)) (/.f64 beta (/.f64 (.f64 alpha (neg.f64 alpha)) (neg.f64 beta))) (/.f64 beta (/.f64 (/.f64 alpha (/.f64 beta alpha)) 1)) (/.f64 beta (/.f64 (.f64 (/.f64 alpha beta) alpha) 1)) (/.f64 (/.f64 beta alpha) (/.f64 alpha beta)) (/.f64 1 (.f64 (/.f64 alpha beta) (/.f64 alpha beta))) (/.f64 1 (/.f64 alpha (/.f64 (.f64 beta beta) alpha))) (/.f64 1 (/.f64 (/.f64 alpha beta) (/.f64 beta alpha))) (/.f64 1 (/.f64 (/.f64 alpha (/.f64 beta alpha)) beta)) (/.f64 1 (/.f64 (.f64 alpha (/.f64 alpha beta)) beta)) (/.f64 1 (/.f64 (.f64 (/.f64 alpha beta) alpha) beta)) (/.f64 1 (/.f64 (.f64 (/.f64 alpha beta) (neg.f64 alpha)) (neg.f64 beta))) (/.f64 (sqrt.f64 (/.f64 beta alpha)) (/.f64 (/.f64 alpha beta) (sqrt.f64 (/.f64 beta alpha)))) (/.f64 (sqrt.f64 (/.f64 beta alpha)) (/.f64 alpha (.f64 (sqrt.f64 (/.f64 beta alpha)) beta))) (/.f64 (sqrt.f64 beta) (/.f64 (/.f64 alpha (/.f64 beta alpha)) (sqrt.f64 beta))) (/.f64 (sqrt.f64 beta) (/.f64 (.f64 alpha (/.f64 alpha beta)) (sqrt.f64 beta))) (/.f64 (sqrt.f64 beta) (/.f64 (.f64 (/.f64 alpha beta) alpha) (sqrt.f64 beta))) (/.f64 (sqrt.f64 beta) (/.f64 (/.f64 alpha beta) (.f64 (sqrt.f64 beta) (/.f64 1 alpha)))) (/.f64 (sqrt.f64 beta) (/.f64 (.f64 alpha alpha) (.f64 (sqrt.f64 beta) beta))) (/.f64 (sqrt.f64 beta) (/.f64 alpha (.f64 (sqrt.f64 beta) (/.f64 beta alpha)))) (/.f64 (sqrt.f64 beta) (/.f64 (.f64 (/.f64 alpha beta) (neg.f64 alpha)) (neg.f64 (sqrt.f64 beta)))) (/.f64 (cbrt.f64 (/.f64 beta alpha)) (/.f64 (/.f64 alpha beta) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))) (/.f64 (cbrt.f64 beta) (/.f64 (/.f64 alpha (/.f64 beta alpha)) (pow.f64 (cbrt.f64 beta) 2))) (/.f64 (cbrt.f64 beta) (/.f64 (.f64 alpha (/.f64 alpha beta)) (pow.f64 (cbrt.f64 beta) 2))) (/.f64 (cbrt.f64 beta) (/.f64 (.f64 (/.f64 alpha beta) alpha) (pow.f64 (cbrt.f64 beta) 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (/.f64 alpha (/.f64 beta alpha)) (cbrt.f64 beta))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (.f64 alpha (/.f64 alpha beta)) (cbrt.f64 beta))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (.f64 (/.f64 alpha beta) alpha) (cbrt.f64 beta))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (/.f64 alpha beta) (.f64 (cbrt.f64 beta) (/.f64 1 alpha)))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (.f64 alpha alpha) (.f64 (cbrt.f64 beta) beta))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 alpha (.f64 (cbrt.f64 beta) (/.f64 beta alpha)))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (.f64 (/.f64 alpha beta) (neg.f64 alpha)) (neg.f64 (cbrt.f64 beta)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (/.f64 (/.f64 alpha beta) (cbrt.f64 (/.f64 beta alpha)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (/.f64 alpha (.f64 (cbrt.f64 (/.f64 beta alpha)) beta))) (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 (.f64 beta beta) (/.f64 alpha (/.f64 1 alpha))) (/.f64 (/.f64 (.f64 beta beta) alpha) alpha) (/.f64 (neg.f64 beta) (.f64 (/.f64 alpha beta) (neg.f64 alpha))) (/.f64 (neg.f64 beta) (/.f64 (/.f64 alpha beta) (/.f64 1 (neg.f64 alpha)))) (/.f64 (neg.f64 beta) (/.f64 (.f64 (neg.f64 alpha) (neg.f64 alpha)) (neg.f64 beta))) (/.f64 (neg.f64 beta) (/.f64 (.f64 (neg.f64 alpha) (/.f64 alpha beta)) 1)) (/.f64 (neg.f64 beta) (/.f64 (.f64 alpha (neg.f64 alpha)) beta)) (/.f64 (neg.f64 beta) (/.f64 (neg.f64 alpha) (/.f64 beta alpha))) (/.f64 (/.f64 1 alpha) (/.f64 (/.f64 alpha beta) beta)) (/.f64 (sqrt.f64 (neg.f64 beta)) (/.f64 (.f64 (/.f64 alpha beta) (neg.f64 alpha)) (sqrt.f64 (neg.f64 beta)))) (/.f64 (sqrt.f64 (/.f64 (.f64 beta beta) alpha)) (/.f64 alpha (sqrt.f64 (/.f64 (.f64 beta beta) alpha)))) (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 beta alpha) 4))) (/.f64 (/.f64 alpha beta) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)))) (/.f64 (.f64 (cbrt.f64 (neg.f64 beta)) (cbrt.f64 (neg.f64 beta))) (/.f64 (.f64 (/.f64 alpha beta) (neg.f64 alpha)) (cbrt.f64 (neg.f64 beta)))) (/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 beta beta) alpha)) (cbrt.f64 (/.f64 (.f64 beta beta) alpha))) (/.f64 alpha (cbrt.f64 (/.f64 (.f64 beta beta) alpha)))) (/.f64 (.f64 (neg.f64 beta) (neg.f64 beta)) (.f64 (neg.f64 alpha) (neg.f64 alpha))) (/.f64 (.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (.f64 alpha alpha) (pow.f64 (cbrt.f64 beta) 2))) (/.f64 (.f64 beta (sqrt.f64 beta)) (/.f64 (.f64 alpha alpha) (sqrt.f64 beta))) (/.f64 (.f64 (/.f64 beta alpha) (sqrt.f64 beta)) (/.f64 alpha (sqrt.f64 beta))) (/.f64 (.f64 (/.f64 beta alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 alpha (cbrt.f64 beta))) (/.f64 (.f64 (neg.f64 beta) 1) (.f64 (neg.f64 alpha) (/.f64 alpha beta))) (/.f64 (.f64 beta (sqrt.f64 (/.f64 beta alpha))) (/.f64 alpha (sqrt.f64 (/.f64 beta alpha)))) (/.f64 (.f64 beta (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) (/.f64 alpha (cbrt.f64 (/.f64 beta alpha)))) (/.f64 (.f64 beta (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (.f64 alpha alpha) (cbrt.f64 beta))) (/.f64 (.f64 beta (neg.f64 beta)) (.f64 alpha (neg.f64 alpha))) (/.f64 (.f64 (/.f64 beta alpha) (neg.f64 beta)) (neg.f64 alpha)) (/.f64 (.f64 (neg.f64 beta) beta) (.f64 alpha (neg.f64 alpha))) (/.f64 (.f64 (neg.f64 beta) (/.f64 beta alpha)) (neg.f64 alpha)) (/.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 alpha beta) (/.f64 beta (sqrt.f64 alpha)))) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 alpha beta) (/.f64 beta (cbrt.f64 alpha)))) (/.f64 (/.f64 beta (/.f64 1 beta)) (.f64 alpha alpha)) (/.f64 (/.f64 beta (/.f64 (cbrt.f64 (pow.f64 alpha 4)) beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 (/.f64 beta alpha) (/.f64 (sqrt.f64 alpha) beta)) (sqrt.f64 alpha)) (/.f64 (/.f64 beta (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 beta alpha))) (cbrt.f64 alpha)) (/.f64 -1 (/.f64 (.f64 (/.f64 alpha beta) (neg.f64 alpha)) beta)) (/.f64 (neg.f64 (sqrt.f64 beta)) (/.f64 (.f64 (/.f64 alpha beta) (neg.f64 alpha)) (sqrt.f64 beta))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (.f64 (/.f64 alpha beta) (neg.f64 alpha)) (cbrt.f64 beta))) (/.f64 (.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 beta)) (/.f64 alpha (.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 beta)))) (/.f64 (.f64 (sqrt.f64 beta) (sqrt.f64 (/.f64 beta alpha))) (/.f64 alpha (.f64 (sqrt.f64 beta) (sqrt.f64 (/.f64 beta alpha))))) (/.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (/.f64 alpha beta) (/.f64 (sqrt.f64 beta) alpha))) (/.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 alpha beta) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)))) (/.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (/.f64 alpha beta) (/.f64 (cbrt.f64 beta) alpha))) (/.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (/.f64 alpha beta) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)))) (/.f64 (neg.f64 (.f64 beta beta)) (.f64 alpha (neg.f64 alpha))) (/.f64 (neg.f64 (/.f64 (.f64 beta beta) alpha)) (neg.f64 alpha)) (pow.f64 (/.f64 beta alpha) 2) (pow.f64 (pow.f64 (/.f64 beta alpha) 2) 1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) 3) (pow.f64 (pow.f64 (pow.f64 (/.f64 beta alpha) 2) 3) 1/3) (sqrt.f64 (pow.f64 (/.f64 beta alpha) 4)) (log.f64 (exp.f64 (pow.f64 (/.f64 beta alpha) 2))) (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 beta alpha) 2)))) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 beta alpha) 2) 3)) (expm1.f64 (log1p.f64 (pow.f64 (/.f64 beta alpha) 2))) (exp.f64 (.f64 2 (log.f64 (/.f64 beta alpha)))) (exp.f64 (.f64 (log.f64 (/.f64 beta alpha)) 2)) (exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 beta alpha))) 1)) (log1p.f64 (expm1.f64 (pow.f64 (/.f64 beta alpha) 2))))
((-.f64 (exp.f64 (log1p.f64 (.f64 6 (pow.f64 alpha -2)))) 1) (.f64 6 (pow.f64 alpha -2)) (.f64 (.f64 6 (pow.f64 alpha -2)) 1) (.f64 1 (.f64 6 (pow.f64 alpha -2))) (.f64 (/.f64 (sqrt.f64 6) alpha) (/.f64 (sqrt.f64 6) alpha)) (.f64 (cbrt.f64 (.f64 6 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 36 (pow.f64 alpha 4)))) (.f64 (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))) (cbrt.f64 (.f64 6 (pow.f64 alpha -2)))) (.f64 (/.f64 6 alpha) (/.f64 1 alpha)) (.f64 (pow.f64 alpha -2) 6) (.f64 -6 (/.f64 1 (.f64 alpha (neg.f64 alpha)))) (pow.f64 (.f64 6 (pow.f64 alpha -2)) 1) (pow.f64 (/.f64 (sqrt.f64 6) alpha) 2) (pow.f64 (cbrt.f64 (.f64 6 (pow.f64 alpha -2))) 3) (pow.f64 (.f64 (.f64 alpha alpha) 1/6) -1) (pow.f64 (.f64 216 (pow.f64 (pow.f64 alpha -2) 3)) 1/3) (sqrt.f64 (/.f64 36 (pow.f64 alpha 4))) (log.f64 (pow.f64 (exp.f64 6) (pow.f64 alpha -2))) (log.f64 (+.f64 1 (expm1.f64 (.f64 6 (pow.f64 alpha -2))))) (cbrt.f64 (.f64 216 (pow.f64 (pow.f64 alpha -2) 3))) (expm1.f64 (log1p.f64 (.f64 6 (pow.f64 alpha -2)))) (exp.f64 (log.f64 (.f64 6 (pow.f64 alpha -2)))) (exp.f64 (.f64 (log.f64 (.f64 6 (pow.f64 alpha -2))) 1)) (log1p.f64 (expm1.f64 (*.f64 6 (pow.f64 alpha -2)))))

simplify200.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

924×	`fma-def`
554×	`associate-r`
520×	`associate-/r/`
516×	`associate-+l+`
514×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	726	22654
1	1951	19162

Stop Event

1×	node limit

Counts

380 → 404

Calls

Call 1

Inputs
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 -6 (/.f64 beta (pow.f64 alpha 2)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(/.f64 (-.f64 (.f64 2 (pow.f64 beta 2)) (.f64 -6 beta)) (pow.f64 alpha 2))
(-.f64 (+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 beta alpha))
(-.f64 (+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 beta alpha))
(-.f64 (+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 beta alpha)) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))) 2) (cbrt.f64 (-.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))) (fma.f64 (neg.f64 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) beta (*.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 beta alpha) 4) 4)) (cbrt.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2))) (*.f64 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (neg.f64 beta)))
(fma.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 beta alpha) (.f64 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (neg.f64 beta)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 beta alpha) 2))) 1)
(/.f64 beta (/.f64 alpha (/.f64 beta alpha)))
(/.f64 beta (*.f64 alpha (/.f64 alpha beta)))
(/.f64 beta (*.f64 (/.f64 alpha beta) alpha))
(/.f64 beta (/.f64 (/.f64 alpha beta) (/.f64 1 alpha)))
(/.f64 beta (/.f64 (*.f64 alpha (/.f64 alpha beta)) 1))
(/.f64 beta (/.f64 (*.f64 alpha (neg.f64 alpha)) (neg.f64 beta)))
(/.f64 beta (/.f64 (/.f64 alpha (/.f64 beta alpha)) 1))
(/.f64 beta (/.f64 (*.f64 (/.f64 alpha beta) alpha) 1))
(/.f64 (/.f64 beta alpha) (/.f64 alpha beta))
(/.f64 1 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))
(/.f64 1 (/.f64 alpha (/.f64 (*.f64 beta beta) alpha)))
(/.f64 1 (/.f64 (/.f64 alpha beta) (/.f64 beta alpha)))
(/.f64 1 (/.f64 (/.f64 alpha (/.f64 beta alpha)) beta))
(/.f64 1 (/.f64 (*.f64 alpha (/.f64 alpha beta)) beta))
(/.f64 1 (/.f64 (*.f64 (/.f64 alpha beta) alpha) beta))
(/.f64 1 (/.f64 (*.f64 (/.f64 alpha beta) (neg.f64 alpha)) (neg.f64 beta)))
(/.f64 (sqrt.f64 (/.f64 beta alpha)) (/.f64 (/.f64 alpha beta) (sqrt.f64 (/.f64 beta alpha))))
(/.f64 (sqrt.f64 (/.f64 beta alpha)) (/.f64 alpha (*.f64 (sqrt.f64 (/.f64 beta alpha)) beta)))
(/.f64 (sqrt.f64 beta) (/.f64 (/.f64 alpha (/.f64 beta alpha)) (sqrt.f64 beta)))
(/.f64 (sqrt.f64 beta) (/.f64 (*.f64 alpha (/.f64 alpha beta)) (sqrt.f64 beta)))
(/.f64 (sqrt.f64 beta) (/.f64 (*.f64 (/.f64 alpha beta) alpha) (sqrt.f64 beta)))
(/.f64 (sqrt.f64 beta) (/.f64 (/.f64 alpha beta) (*.f64 (sqrt.f64 beta) (/.f64 1 alpha))))
(/.f64 (sqrt.f64 beta) (/.f64 (.f64 alpha alpha) (.f64 (sqrt.f64 beta) beta)))
(/.f64 (sqrt.f64 beta) (/.f64 alpha (*.f64 (sqrt.f64 beta) (/.f64 beta alpha))))
(/.f64 (sqrt.f64 beta) (/.f64 (*.f64 (/.f64 alpha beta) (neg.f64 alpha)) (neg.f64 (sqrt.f64 beta))))
(/.f64 (cbrt.f64 (/.f64 beta alpha)) (/.f64 (/.f64 alpha beta) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)))
(/.f64 (cbrt.f64 beta) (/.f64 (/.f64 alpha (/.f64 beta alpha)) (pow.f64 (cbrt.f64 beta) 2)))
(/.f64 (cbrt.f64 beta) (/.f64 (*.f64 alpha (/.f64 alpha beta)) (pow.f64 (cbrt.f64 beta) 2)))
(/.f64 (cbrt.f64 beta) (/.f64 (*.f64 (/.f64 alpha beta) alpha) (pow.f64 (cbrt.f64 beta) 2)))
(/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (/.f64 alpha (/.f64 beta alpha)) (cbrt.f64 beta)))
(/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (*.f64 alpha (/.f64 alpha beta)) (cbrt.f64 beta)))
(/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (*.f64 (/.f64 alpha beta) alpha) (cbrt.f64 beta)))
(/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (/.f64 alpha beta) (*.f64 (cbrt.f64 beta) (/.f64 1 alpha))))
(/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (.f64 alpha alpha) (.f64 (cbrt.f64 beta) beta)))
(/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 alpha (*.f64 (cbrt.f64 beta) (/.f64 beta alpha))))
(/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (*.f64 (/.f64 alpha beta) (neg.f64 alpha)) (neg.f64 (cbrt.f64 beta))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (/.f64 (/.f64 alpha beta) (cbrt.f64 (/.f64 beta alpha))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (/.f64 alpha (*.f64 (cbrt.f64 (/.f64 beta alpha)) beta)))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(/.f64 (*.f64 beta beta) (/.f64 alpha (/.f64 1 alpha)))
(/.f64 (/.f64 (*.f64 beta beta) alpha) alpha)
(/.f64 (neg.f64 beta) (*.f64 (/.f64 alpha beta) (neg.f64 alpha)))
(/.f64 (neg.f64 beta) (/.f64 (/.f64 alpha beta) (/.f64 1 (neg.f64 alpha))))
(/.f64 (neg.f64 beta) (/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (neg.f64 beta)))
(/.f64 (neg.f64 beta) (/.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha beta)) 1))
(/.f64 (neg.f64 beta) (/.f64 (*.f64 alpha (neg.f64 alpha)) beta))
(/.f64 (neg.f64 beta) (/.f64 (neg.f64 alpha) (/.f64 beta alpha)))
(/.f64 (/.f64 1 alpha) (/.f64 (/.f64 alpha beta) beta))
(/.f64 (sqrt.f64 (neg.f64 beta)) (/.f64 (*.f64 (/.f64 alpha beta) (neg.f64 alpha)) (sqrt.f64 (neg.f64 beta))))
(/.f64 (sqrt.f64 (/.f64 (.f64 beta beta) alpha)) (/.f64 alpha (sqrt.f64 (/.f64 (.f64 beta beta) alpha))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 beta alpha) 4))) (/.f64 (/.f64 alpha beta) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 beta)) (cbrt.f64 (neg.f64 beta))) (/.f64 (.f64 (/.f64 alpha beta) (neg.f64 alpha)) (cbrt.f64 (neg.f64 beta))))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 beta beta) alpha)) (cbrt.f64 (/.f64 (.f64 beta beta) alpha))) (/.f64 alpha (cbrt.f64 (/.f64 (.f64 beta beta) alpha))))
(/.f64 (.f64 (neg.f64 beta) (neg.f64 beta)) (.f64 (neg.f64 alpha) (neg.f64 alpha)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (.f64 alpha alpha) (pow.f64 (cbrt.f64 beta) 2)))
(/.f64 (.f64 beta (sqrt.f64 beta)) (/.f64 (.f64 alpha alpha) (sqrt.f64 beta)))
(/.f64 (*.f64 (/.f64 beta alpha) (sqrt.f64 beta)) (/.f64 alpha (sqrt.f64 beta)))
(/.f64 (*.f64 (/.f64 beta alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 alpha (cbrt.f64 beta)))
(/.f64 (.f64 (neg.f64 beta) 1) (.f64 (neg.f64 alpha) (/.f64 alpha beta)))
(/.f64 (*.f64 beta (sqrt.f64 (/.f64 beta alpha))) (/.f64 alpha (sqrt.f64 (/.f64 beta alpha))))
(/.f64 (*.f64 beta (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) (/.f64 alpha (cbrt.f64 (/.f64 beta alpha))))
(/.f64 (.f64 beta (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (.f64 alpha alpha) (cbrt.f64 beta)))
(/.f64 (.f64 beta (neg.f64 beta)) (.f64 alpha (neg.f64 alpha)))
(/.f64 (*.f64 (/.f64 beta alpha) (neg.f64 beta)) (neg.f64 alpha))
(/.f64 (.f64 (neg.f64 beta) beta) (.f64 alpha (neg.f64 alpha)))
(/.f64 (*.f64 (neg.f64 beta) (/.f64 beta alpha)) (neg.f64 alpha))
(/.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 alpha beta) (/.f64 beta (sqrt.f64 alpha))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 alpha beta) (/.f64 beta (cbrt.f64 alpha))))
(/.f64 (/.f64 beta (/.f64 1 beta)) (*.f64 alpha alpha))
(/.f64 (/.f64 beta (/.f64 (cbrt.f64 (pow.f64 alpha 4)) beta)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (/.f64 beta alpha) (/.f64 (sqrt.f64 alpha) beta)) (sqrt.f64 alpha))
(/.f64 (/.f64 beta (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 beta alpha))) (cbrt.f64 alpha))
(/.f64 -1 (/.f64 (*.f64 (/.f64 alpha beta) (neg.f64 alpha)) beta))
(/.f64 (neg.f64 (sqrt.f64 beta)) (/.f64 (*.f64 (/.f64 alpha beta) (neg.f64 alpha)) (sqrt.f64 beta)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (*.f64 (/.f64 alpha beta) (neg.f64 alpha)) (cbrt.f64 beta)))
(/.f64 (.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 beta)) (/.f64 alpha (.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 beta))))
(/.f64 (.f64 (sqrt.f64 beta) (sqrt.f64 (/.f64 beta alpha))) (/.f64 alpha (.f64 (sqrt.f64 beta) (sqrt.f64 (/.f64 beta alpha)))))
(/.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (/.f64 alpha beta) (/.f64 (sqrt.f64 beta) alpha)))
(/.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 alpha beta) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (/.f64 alpha beta) (/.f64 (cbrt.f64 beta) alpha)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (/.f64 alpha beta) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha))))
(/.f64 (neg.f64 (.f64 beta beta)) (.f64 alpha (neg.f64 alpha)))
(/.f64 (neg.f64 (/.f64 (*.f64 beta beta) alpha)) (neg.f64 alpha))
(pow.f64 (/.f64 beta alpha) 2)
(pow.f64 (pow.f64 (/.f64 beta alpha) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 beta alpha) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 beta alpha) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 beta alpha) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 beta alpha) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 beta alpha) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 beta alpha))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 beta alpha) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 6 (pow.f64 alpha -2)))) 1)
(*.f64 6 (pow.f64 alpha -2))
(.f64 (.f64 6 (pow.f64 alpha -2)) 1)
(.f64 1 (.f64 6 (pow.f64 alpha -2)))
(*.f64 (/.f64 (sqrt.f64 6) alpha) (/.f64 (sqrt.f64 6) alpha))
(.f64 (cbrt.f64 (.f64 6 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))) (cbrt.f64 (.f64 6 (pow.f64 alpha -2))))
(*.f64 (/.f64 6 alpha) (/.f64 1 alpha))
(*.f64 (pow.f64 alpha -2) 6)
(.f64 -6 (/.f64 1 (.f64 alpha (neg.f64 alpha))))
(pow.f64 (*.f64 6 (pow.f64 alpha -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 6) alpha) 2)
(pow.f64 (cbrt.f64 (*.f64 6 (pow.f64 alpha -2))) 3)
(pow.f64 (.f64 (.f64 alpha alpha) 1/6) -1)
(pow.f64 (*.f64 216 (pow.f64 (pow.f64 alpha -2) 3)) 1/3)
(sqrt.f64 (/.f64 36 (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 6) (pow.f64 alpha -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 6 (pow.f64 alpha -2)))))
(cbrt.f64 (*.f64 216 (pow.f64 (pow.f64 alpha -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 6 (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 6 (pow.f64 alpha -2))))
(exp.f64 (.f64 (log.f64 (.f64 6 (pow.f64 alpha -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 6 (pow.f64 alpha -2))))

Outputs
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(*.f64 -6 (/.f64 beta (pow.f64 alpha 2)))
(.f64 -6 (/.f64 beta (.f64 alpha alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 beta (/.f64 2 alpha)))
(*.f64 beta (fma.f64 -6 (pow.f64 alpha -2) (/.f64 2 alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 beta (/.f64 2 alpha)))
(*.f64 beta (fma.f64 -6 (pow.f64 alpha -2) (/.f64 2 alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 beta (/.f64 2 alpha)))
(*.f64 beta (fma.f64 -6 (pow.f64 alpha -2) (/.f64 2 alpha)))
(*.f64 2 (/.f64 beta alpha))
(*.f64 beta (/.f64 2 alpha))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 beta (/.f64 2 alpha)))
(*.f64 beta (fma.f64 -6 (pow.f64 alpha -2) (/.f64 2 alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 beta (/.f64 2 alpha)))
(*.f64 beta (fma.f64 -6 (pow.f64 alpha -2) (/.f64 2 alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 beta (/.f64 2 alpha)))
(*.f64 beta (fma.f64 -6 (pow.f64 alpha -2) (/.f64 2 alpha)))
(*.f64 2 (/.f64 beta alpha))
(*.f64 beta (/.f64 2 alpha))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 beta (/.f64 2 alpha)))
(*.f64 beta (fma.f64 -6 (pow.f64 alpha -2) (/.f64 2 alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 beta (/.f64 2 alpha)))
(*.f64 beta (fma.f64 -6 (pow.f64 alpha -2) (/.f64 2 alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 beta (/.f64 2 alpha)))
(*.f64 beta (fma.f64 -6 (pow.f64 alpha -2) (/.f64 2 alpha)))
(.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (/.f64 (+.f64 -2 (neg.f64 (/.f64 -6 alpha))) alpha))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(-.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2)) (/.f64 (.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(-.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2)) (/.f64 (.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(-.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2)) (/.f64 (.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 2 (pow.f64 (/.f64 beta alpha) 2))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(-.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2)) (/.f64 (.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(-.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2)) (/.f64 (.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(-.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 2)) (/.f64 (.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha))
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(/.f64 (*.f64 (neg.f64 beta) (/.f64 beta alpha)) (neg.f64 alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 alpha beta) (/.f64 beta (sqrt.f64 alpha))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 alpha beta)) (/.f64 beta (sqrt.f64 alpha)))
(.f64 (/.f64 beta (sqrt.f64 alpha)) (.f64 (/.f64 (/.f64 1 (sqrt.f64 alpha)) alpha) beta))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 alpha beta) (/.f64 beta (cbrt.f64 alpha))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 alpha beta)) (/.f64 beta (cbrt.f64 alpha)))
(.f64 (/.f64 beta (cbrt.f64 alpha)) (/.f64 1 (.f64 (/.f64 alpha beta) (pow.f64 (cbrt.f64 alpha) 2))))
(/.f64 (/.f64 beta (/.f64 1 beta)) (*.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (/.f64 beta (/.f64 (cbrt.f64 (pow.f64 alpha 4)) beta)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (*.f64 (/.f64 beta (cbrt.f64 (pow.f64 alpha 4))) beta) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 beta (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta))
(/.f64 (/.f64 (/.f64 beta alpha) (/.f64 (sqrt.f64 alpha) beta)) (sqrt.f64 alpha))
(/.f64 (/.f64 beta alpha) (*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) beta)))
(/.f64 (/.f64 beta (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 beta alpha))) (cbrt.f64 alpha))
(/.f64 beta (.f64 (cbrt.f64 alpha) (.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta) alpha)))
(/.f64 beta (.f64 (cbrt.f64 alpha) (.f64 alpha (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta))))
(/.f64 -1 (/.f64 (*.f64 (/.f64 alpha beta) (neg.f64 alpha)) beta))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (neg.f64 (sqrt.f64 beta)) (/.f64 (*.f64 (/.f64 alpha beta) (neg.f64 alpha)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 beta) (/.f64 alpha beta)) (/.f64 (sqrt.f64 beta) alpha))
(.f64 (sqrt.f64 beta) (.f64 (/.f64 beta alpha) (/.f64 (sqrt.f64 beta) alpha)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (*.f64 (/.f64 alpha beta) (neg.f64 alpha)) (cbrt.f64 beta)))
(.f64 (/.f64 (cbrt.f64 beta) (.f64 alpha (/.f64 alpha beta))) (pow.f64 (cbrt.f64 beta) 2))
(.f64 (pow.f64 (cbrt.f64 beta) 2) (.f64 (/.f64 (cbrt.f64 beta) alpha) (/.f64 beta alpha)))
(/.f64 (.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 beta)) (/.f64 alpha (.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 beta))))
(/.f64 (sqrt.f64 beta) (/.f64 (/.f64 alpha (*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 beta))) (sqrt.f64 (/.f64 beta alpha))))
(.f64 (.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 beta)) (/.f64 (sqrt.f64 (/.f64 beta alpha)) (/.f64 alpha (sqrt.f64 beta))))
(/.f64 (.f64 (sqrt.f64 beta) (sqrt.f64 (/.f64 beta alpha))) (/.f64 alpha (.f64 (sqrt.f64 beta) (sqrt.f64 (/.f64 beta alpha)))))
(/.f64 (sqrt.f64 beta) (/.f64 (/.f64 alpha (*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 beta))) (sqrt.f64 (/.f64 beta alpha))))
(.f64 (.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 beta)) (/.f64 (sqrt.f64 (/.f64 beta alpha)) (/.f64 alpha (sqrt.f64 beta))))
(/.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (/.f64 alpha beta) (/.f64 (sqrt.f64 beta) alpha)))
(*.f64 (/.f64 (sqrt.f64 beta) (/.f64 alpha beta)) (/.f64 (sqrt.f64 beta) alpha))
(.f64 (sqrt.f64 beta) (.f64 (/.f64 beta alpha) (/.f64 (sqrt.f64 beta) alpha)))
(/.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 alpha beta) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 alpha beta)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)))
(.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (.f64 (/.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) alpha) beta))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (/.f64 alpha beta) (/.f64 (cbrt.f64 beta) alpha)))
(.f64 (/.f64 (cbrt.f64 beta) (.f64 alpha (/.f64 alpha beta))) (pow.f64 (cbrt.f64 beta) 2))
(.f64 (pow.f64 (cbrt.f64 beta) 2) (.f64 (/.f64 (cbrt.f64 beta) alpha) (/.f64 beta alpha)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (/.f64 alpha beta) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha))))
(/.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (/.f64 (/.f64 alpha beta) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha))) (sqrt.f64 alpha)))
(.f64 (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (.f64 (/.f64 alpha beta) (sqrt.f64 alpha))))
(/.f64 (neg.f64 (.f64 beta beta)) (.f64 alpha (neg.f64 alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (neg.f64 (/.f64 (*.f64 beta beta) alpha)) (neg.f64 alpha))
(pow.f64 (/.f64 beta alpha) 2)
(pow.f64 (/.f64 beta alpha) 2)
(pow.f64 (pow.f64 (/.f64 beta alpha) 2) 1)
(pow.f64 (/.f64 beta alpha) 2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 beta alpha) 2) 3) 1/3)
(pow.f64 (/.f64 beta alpha) 2)
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 4))
(fabs.f64 (pow.f64 (/.f64 beta alpha) 2))
(log.f64 (exp.f64 (pow.f64 (/.f64 beta alpha) 2)))
(pow.f64 (/.f64 beta alpha) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 beta alpha) 2))))
(pow.f64 (/.f64 beta alpha) 2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 beta alpha) 2) 3))
(pow.f64 (/.f64 beta alpha) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 beta alpha) 2)))
(pow.f64 (/.f64 beta alpha) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 beta alpha))))
(pow.f64 (/.f64 beta alpha) 2)
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 2))
(pow.f64 (/.f64 beta alpha) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 beta alpha))) 1))
(pow.f64 (/.f64 beta alpha) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 beta alpha) 2)))
(pow.f64 (/.f64 beta alpha) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 6 (pow.f64 alpha -2)))) 1)
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(/.f64 6 (*.f64 alpha alpha))
(.f64 (.f64 6 (pow.f64 alpha -2)) 1)
(/.f64 6 (*.f64 alpha alpha))
(.f64 1 (.f64 6 (pow.f64 alpha -2)))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 (/.f64 (sqrt.f64 6) alpha) (/.f64 (sqrt.f64 6) alpha))
(pow.f64 (/.f64 (sqrt.f64 6) alpha) 2)
(.f64 (cbrt.f64 (.f64 6 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))))
(.f64 (cbrt.f64 (/.f64 6 (.f64 alpha alpha))) (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))) (cbrt.f64 (.f64 6 (pow.f64 alpha -2))))
(.f64 (cbrt.f64 (.f64 6 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))))
(.f64 (cbrt.f64 (/.f64 6 (.f64 alpha alpha))) (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))))
(*.f64 (/.f64 6 alpha) (/.f64 1 alpha))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) 6)
(/.f64 6 (*.f64 alpha alpha))
(.f64 -6 (/.f64 1 (.f64 alpha (neg.f64 alpha))))
(/.f64 -6 (*.f64 alpha (neg.f64 alpha)))
(pow.f64 (*.f64 6 (pow.f64 alpha -2)) 1)
(/.f64 6 (*.f64 alpha alpha))
(pow.f64 (/.f64 (sqrt.f64 6) alpha) 2)
(pow.f64 (cbrt.f64 (*.f64 6 (pow.f64 alpha -2))) 3)
(/.f64 6 (*.f64 alpha alpha))
(pow.f64 (.f64 (.f64 alpha alpha) 1/6) -1)
(/.f64 6 (*.f64 alpha alpha))
(pow.f64 (*.f64 216 (pow.f64 (pow.f64 alpha -2) 3)) 1/3)
(cbrt.f64 (*.f64 216 (pow.f64 (pow.f64 alpha -2) 3)))
(sqrt.f64 (/.f64 36 (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 6) (pow.f64 alpha -2)))
(/.f64 6 (*.f64 alpha alpha))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 6 (pow.f64 alpha -2)))))
(/.f64 6 (*.f64 alpha alpha))
(cbrt.f64 (*.f64 216 (pow.f64 (pow.f64 alpha -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 6 (pow.f64 alpha -2))))
(/.f64 6 (*.f64 alpha alpha))
(exp.f64 (log.f64 (*.f64 6 (pow.f64 alpha -2))))
(/.f64 6 (*.f64 alpha alpha))
(exp.f64 (.f64 (log.f64 (.f64 6 (pow.f64 alpha -2))) 1))
(/.f64 6 (*.f64 alpha alpha))
(log1p.f64 (expm1.f64 (*.f64 6 (pow.f64 alpha -2))))
(/.f64 6 (*.f64 alpha alpha))

eval833.0ms (7.6%)

Compiler: Compiled 37946 to 23468 computations (38.2% saved)

prune381.0ms (3.5%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	976	4	980
Fresh	3	6	9
Picked	1	0	1
Done	1	8	9
Total	981	18	999

Accurracy

100.0%

Counts

999 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	31.0%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	9.8%	(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
▶	24.7%	(/.f64 (/.f64 2 alpha) 2)
	22.9%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	30.5%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	47.2%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	44.4%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
▶	44.7%	(/.f64 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 beta (+.f64 beta 2))) 1) 2)
✓	72.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	70.4%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	42.5%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	9.8%	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
	10.6%	(/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (/.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) alpha) (.f64 alpha (+.f64 (+.f64 beta beta) -2))) (*.f64 alpha alpha))) 2)
	7.7%	(/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta (+.f64 beta 2)) (.f64 alpha alpha)) (.f64 (neg.f64 alpha) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) (.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 2)
▶	8.7%	(/.f64 (.f64 -1 (-.f64 (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 2 (/.f64 beta alpha)))) 2)
✓	31.0%	(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
✓	37.4%	(/.f64 2 2)
✓	45.5%	(/.f64 1 2)

Compiler

Compiled 404 to 296 computations (26.7% saved)

localize24.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 beta (+.f64 beta 2))) 1)
✓	100.0%	(*.f64 beta (+.f64 beta 2))
	97.7%	(-.f64 (.f64 beta beta) (.f64 alpha alpha))
✓	71.3%	(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 beta (+.f64 beta 2)))

Compiler

Compiled 72 to 30 computations (58.3% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite114.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`associate-/r/`
1120×	`associate-/l/`
320×	`add-sqr-sqrt`
318×	`associate-+l+`
312×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	93
1	306	93
2	4702	93

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

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

Outputs

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

simplify226.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

646×	`associate-/l*`
578×	`*-commutative`
552×	`associate-r`
532×	`fma-def`
530×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	529	12311
1	1701	11591
2	7477	11465

Stop Event

1×	node limit

Counts

231 → 328

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize9.0ms (0.1%)

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

localize7.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
✓	99.1%	(/.f64 2 (/.f64 alpha beta))

Compiler

Compiled 20 to 10 computations (50% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1910×	`add-sqr-sqrt`
1884×	`*-un-lft-identity`
1768×	`add-cube-cbrt`
1750×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	182	20
2	2477	20

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1548×	`associate-/r*`
1540×	`associate-/l*`
1092×	`unswap-sqr`
916×	`*-commutative`
758×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	153	1282
1	356	1234
2	2136	1234

Stop Event

1×	node limit

Counts

116 → 75

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

localize22.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (.f64 -1 (-.f64 (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 2 (/.f64 beta alpha)))) 2)
✓	100.0%	(.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
	99.7%	(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
✓	95.0%	(-.f64 (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 2 (/.f64 beta alpha)))

Compiler

Compiled 81 to 31 computations (61.7% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite177.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1724×	`associate-/l*`
1080×	`distribute-lft-in`
576×	`associate-+l+`
500×	`associate-/r/`
476×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	91
1	302	87
2	4343	75

Stop Event

1×	node limit

Counts

3 → 529

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify333.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1460×	`associate-+r+`
1316×	`+-commutative`
1034×	`associate-+l+`
944×	`*-commutative`
700×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1153	35115
1	3440	28919

Stop Event

1×	node limit

Counts

601 → 711

Calls

Call 1

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

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

eval1.1s (9.9%)

Compiler: Compiled 42578 to 25023 computations (41.2% saved)

prune612.0ms (5.6%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	1389	4	1393
Fresh	1	4	5
Picked	1	0	1
Done	2	10	12
Total	1393	18	1411

Accurracy

100.0%

Counts

1411 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	31.0%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	24.7%	(/.f64 (/.f64 2 alpha) 2)
	22.9%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	30.5%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	47.2%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	44.4%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	72.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	55.8%	(/.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 beta (+.f64 beta 2))) 1) 2)
✓	70.4%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	42.5%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	10.6%	(/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (/.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) alpha) (.f64 alpha (+.f64 (+.f64 beta beta) -2))) (*.f64 alpha alpha))) 2)
	7.7%	(/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta (+.f64 beta 2)) (.f64 alpha alpha)) (.f64 (neg.f64 alpha) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) (.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 2)
✓	31.0%	(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
	9.8%	(/.f64 beta alpha)
✓	37.4%	(/.f64 2 2)
✓	45.5%	(/.f64 1 2)
	8.7%	(*.f64 (/.f64 beta alpha) (neg.f64 (+.f64 (/.f64 beta alpha) -1)))
	9.8%	(*.f64 (/.f64 1 alpha) beta)

Compiler

Compiled 223 to 167 computations (25.1% saved)

regimes169.0ms (1.5%)

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

75.0ms	beta
29.0ms	alpha
24.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
22.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
97.7%	2	`alpha`
75.1%	3	`beta`
100.0%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
100.0%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
100.0%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 422 to 273 computations (35.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999989488	-0.0006282995839744916

Compiler

Compiled 20 to 15 computations (25% saved)

regimes171.0ms (1.6%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

5 calls:

78.0ms	beta
42.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
28.0ms	alpha
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Accuracy	Segments	Branch
97.5%	2	`alpha`
75.1%	3	`beta`
99.7%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.7%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.7%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 368 to 238 computations (35.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999989488	-0.0006282995839744916

Compiler

Compiled 20 to 15 computations (25% saved)

regimes54.0ms (0.5%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	beta
20.0ms	alpha

Results

Accuracy	Segments	Branch
95.8%	2	`alpha`
74.0%	3	`beta`

Compiler

Compiled 159 to 117 computations (26.4% saved)

bsearch68.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
68.0ms	63902506.53279372	190257127996.93436

Results

66.0ms

128×

body

256

valid

Compiler

Compiled 212 to 175 computations (17.5% saved)

regimes47.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

27.0ms	beta
18.0ms	alpha

Results

Accuracy	Segments	Branch
88.9%	2	`alpha`
74.0%	3	`beta`

Compiler

Compiled 93 to 72 computations (22.6% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	63902506.53279372	190257127996.93436

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 180 to 151 computations (16.1% saved)

regimes74.0ms (0.7%)

Counts

12 → 4

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	beta
28.0ms	alpha

Results

Accuracy	Segments	Branch
67.8%	4	`alpha`
71.6%	4	`beta`

Compiler

Compiled 75 to 58 computations (22.7% saved)

bsearch52.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
20.0ms	1.2080068600107101	33243.718918731145
9.0ms	7.406294870139642e-110	1.2040111559824503e-109
22.0ms	6.300369394596224e-223	7.048697714263174e-217

Results

27.0ms	263×	body	256	valid
13.0ms	54×	body	1024	valid
4.0ms	9×	body	2048	valid
2.0ms	10×	body	512	valid

Compiler

Compiled 414 to 367 computations (11.4% saved)

regimes87.0ms (0.8%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

2 calls:

62.0ms	alpha
22.0ms	beta

Results

Accuracy	Segments	Branch
67.8%	4	`alpha`
71.4%	4	`beta`

Compiler

Compiled 53 to 41 computations (22.6% saved)

bsearch89.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
56.0ms	1.2080068600107101	33243.718918731145
10.0ms	7.406294870139642e-110	1.2040111559824503e-109
23.0ms	6.300369394596224e-223	7.048697714263174e-217

Results

26.0ms	245×	body	256	valid
15.0ms	64×	body	1024	valid
3.0ms	18×	body	512	valid
3.0ms	9×	body	2048	valid

Compiler

Compiled 382 to 343 computations (10.2% saved)

regimes41.0ms (0.4%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	beta
17.0ms	alpha

Results

Accuracy	Segments	Branch
67.3%	4	`alpha`
70.5%	4	`beta`

Compiler

Compiled 39 to 29 computations (25.6% saved)

bsearch60.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
24.0ms	1.2080068600107101	33243.718918731145
14.0ms	7.406294870139642e-110	1.2040111559824503e-109
22.0ms	6.300369394596224e-223	7.048697714263174e-217

Results

30.0ms	249×	body	256	valid
16.0ms	48×	body	1024	valid
8.0ms	33×	body	512	valid
2.0ms	6×	body	2048	valid

Compiler

Compiled 298 to 280 computations (6% saved)

regimes45.0ms (0.4%)

Accuracy

Total -42.0b remaining (-205.3%)

Threshold costs -42b (-205.3%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	alpha
11.0ms	beta

Results

Accuracy	Segments	Branch
55.8%	5	`alpha`
68.1%	2	`beta`

Compiler

Compiled 27 to 21 computations (22.2% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.2080068600107101	33243.718918731145

Results

9.0ms	28×	body	1024	valid
9.0ms	92×	body	256	valid
1.0ms	6×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 116 to 111 computations (4.3% saved)

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

106×	`distribute-lft-neg-in`
80×	`+-commutative`
80×	`*-commutative`
60×	`neg-sub0`
54×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	577
1	104	577
2	128	573
3	159	569
4	206	569
5	274	569
6	331	569
7	375	569
8	405	569
9	423	569
10	430	569

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 175000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 2150000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 4347050658441985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 6346137300386387/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 3129876474078229/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 7192288940437905/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta 4347050658441985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (/.f64 1 2) (if (<=.f64 beta 6346137300386387/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (neg.f64 beta) (-.f64 -2 beta)) alpha) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) 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)) -1/2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 175000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 175000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 2150000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 2150000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 4347050658441985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 6346137300386387/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 4347050658441985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta 6346137300386387/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 4347050658441985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta 6346137300386387/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))
(if (<=.f64 beta 3129876474078229/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 7192288940437905/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta 3129876474078229/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta 7192288940437905/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) 1)))
(if (<=.f64 beta 4347050658441985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (/.f64 1 2) (if (<=.f64 beta 6346137300386387/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 4347050658441985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) 1/2 (if (<=.f64 beta 6346137300386387/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) 1/2 1)))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 237 to 181 computations (23.6% saved)

soundness367.0ms (3.4%)

Algorithm

3×	egg-herbie

Rules

1632×	`associate-*r/`
982×	`associate-/l*`
924×	`distribute-lft-in`
856×	`+-commutative`
812×	`distribute-rgt-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	25	37
2	41	37
3	69	37
4	117	37
5	255	33
6	463	33
7	845	33
8	1720	33
9	3940	33
0	608	12724
1	2161	12284
0	453	11552
1	1327	10190
2	5380	10170

Stop Event

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

Compiler

Compiled 570 to 388 computations (31.9% saved)

end142.0ms (1.3%)

Compiler: Compiled 221 to 163 computations (26.2% saved)

Iter	Nodes	Cost
0	79	577
1	104	577
2	128	573
3	159	569
4	206	569
5	274	569
6	331	569
7	375	569
8	405	569
9	423	569
10	430	569

Iter	Nodes	Cost
0	79	577
1	104	577
2	128	573
3	159	569
4	206	569
5	274	569
6	331	569
7	375	569
8	405	569
9	423	569
10	430	569

Iter	Nodes	Cost
0	79	577
1	104	577
2	128	573
3	159	569
4	206	569
5	274	569
6	331	569
7	375	569
8	405	569
9	423	569
10	430	569