Details

analyze67.0ms (0.8%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.8s (22.4%)

Results

1.1s	6497×	body	256	valid
405.0ms	1041×	body	1024	valid
202.0ms	620×	body	512	valid
67.0ms	98×	body	2048	valid

Bogosity

preprocess82.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1736×	`fma-neg`
1090×	`div-sub`
896×	`sub-neg`
752×	`times-frac`
506×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	41	74
2	66	74
3	112	74
4	206	74
5	416	66
6	874	66
7	2078	66
8	5730	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 alpha (+.f64 beta 2))) 1) 2)
(-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) 2 4)))
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)) -1/2 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) 2)
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) 2 4)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1/2 1/2)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1100×	`sub-neg`
934×	`fma-def`
868×	`associate-/l*`
754×	`div-sub`
678×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	25	37
2	42	37
3	70	37
4	122	37
5	242	33
6	449	33
7	759	33
8	1616	33
9	3796	33
10	7629	33

Stop Event

1×	node limit

Counts

1 → 6

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

eval1.0ms (0%)

Compiler: Compiled 78 to 47 computations (39.7% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	1	7

Accurracy

73.6%

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.6%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize16.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	97.2%	(+.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	alpha	@	-inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))

rewrite131.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`log-prod`
1174×	`fma-def`
578×	`pow-exp`
550×	`fma-neg`
470×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	259	56
2	3902	56

Stop Event

1×	node limit

Counts

2 → 144

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

simplify140.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1380×	`fma-neg`
852×	`unswap-sqr`
698×	`sub-neg`
548×	`fma-def`
448×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	510	10982
1	1409	10596
2	4973	10328

Stop Event

1×	node limit

Counts

192 → 390

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

eval289.0ms (3.6%)

Compiler: Compiled 11693 to 7965 computations (31.9% saved)

prune89.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	383	7	390
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	383	8	391

Accurracy

100.0%

Counts

391 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.9%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
	30.3%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
▶	74.3%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	53.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	73.6%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	72.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	3.7%	(/.f64 (+.f64 -1 1) 2)
▶	33.0%	(/.f64 2 2)

Compiler

Compiled 195 to 149 computations (23.6% saved)

localize28.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	100.0%	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	97.2%	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 73 to 47 computations (35.6% saved)

series4.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite143.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`prod-diff`
1202×	`log-prod`
888×	`fma-def`
458×	`expm1-udef`
458×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	257	63
2	3780	63

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

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

simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1226×	`unswap-sqr`
978×	`cancel-sign-sub-inv`
494×	`log-prod`
474×	`distribute-rgt-neg-in`
446×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	421	8357
1	1056	7975
2	3571	7881

Stop Event

1×	node limit

Counts

209 → 336

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize5.0ms (0.1%)

Compiler: Compiled 13 to 13 computations (0% saved)

localize43.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1962×	`pow1`
1834×	`add-exp-log`
1834×	`log1p-expm1-u`
1834×	`expm1-log1p-u`
186×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	180	19
2	2448	19

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1284×	`distribute-lft-in`
1276×	`distribute-rgt-in`
628×	`fma-neg`
604×	`fma-def`
566×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1498
1	257	1320
2	758	1170
3	3623	1148

Stop Event

1×	node limit

Counts

44 → 57

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	97.2%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`unpow-prod-down`
870×	`prod-diff`
806×	`log-prod`
466×	`pow-prod-down`
372×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	180	19
2	2441	19

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

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

Outputs
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))
(+.f64 0 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -3)) (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -3)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) 1))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -3))) (neg.f64 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -3))) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(fma.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(fma.f64 alpha (neg.f64 (/.f64 1 (+.f64 alpha 2))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (neg.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) 1)
(fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 alpha 2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1)
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1)
(fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) 1)
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1)

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1064×	`fma-def`
716×	`associate-*r/`
594×	`sqr-pow`
548×	`div-sub`
492×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	2414
1	466	2266
2	1335	2248
3	4437	2248

Stop Event

1×	node limit

Counts

72 → 93

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 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))
(+.f64 0 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -3)) (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -3)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) 1))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -3))) (neg.f64 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -3))) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(fma.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(fma.f64 alpha (neg.f64 (/.f64 1 (+.f64 alpha 2))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (neg.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) 1)
(fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 alpha 2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1)
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1)
(fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) 1)
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1)

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

eval310.0ms (3.8%)

Compiler: Compiled 12757 to 9172 computations (28.1% saved)

prune103.0ms (1.3%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	478	8	486
Fresh	0	2	2
Picked	0	1	1
Done	1	4	5
Total	479	15	494

Accurracy

100.0%

Counts

494 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.9%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
	30.3%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	26.1%	(/.f64 (/.f64 2 alpha) 2)
	30.3%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
✓	74.3%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	72.6%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
▶	24.6%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
▶	24.9%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	53.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	73.6%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	72.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	50.9%	(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
▶	51.8%	(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
✓	33.0%	(/.f64 2 2)
▶	53.8%	(/.f64 1 2)

Compiler

Compiled 297 to 231 computations (22.2% saved)

localize23.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 41 to 27 computations (34.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite80.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`prod-diff`
1068×	`log-prod`
878×	`fma-def`
528×	`pow-exp`
432×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	237	25
2	3384	25

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

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

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

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1154×	`fma-def`
968×	`associate-r`
852×	`associate-l`
772×	`times-frac`
618×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	3518
1	549	3348
2	1607	3236

Stop Event

1×	node limit

Counts

80 → 134

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize8.0ms (0.1%)

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

localize20.0ms (0.3%)

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

localize16.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
✓	99.4%	(/.f64 4 (*.f64 alpha alpha))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite99.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`log-prod`
852×	`fma-def`
718×	`prod-exp`
548×	`pow-prod-down`
438×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	211	32
2	3033	32

Stop Event

1×	node limit

Counts

2 → 182

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 (/.f64 4 alpha) alpha))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha))) 1)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(.f64 2 (.f64 (/.f64 1 alpha) (/.f64 2 alpha)))
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha))
(*.f64 1 (/.f64 (/.f64 4 alpha) alpha))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (pow.f64 (/.f64 2 alpha) 3/2))
(.f64 -4 (/.f64 1 (.f64 alpha (neg.f64 alpha))))
(*.f64 (pow.f64 alpha -2) 4)
(*.f64 (/.f64 4 alpha) (/.f64 1 alpha))
(*.f64 (pow.f64 (/.f64 2 alpha) 3/2) (sqrt.f64 (/.f64 2 alpha)))
(.f64 (.f64 (/.f64 2 alpha) 2) (/.f64 1 alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 5) (cbrt.f64 (/.f64 2 alpha)))
(pow.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(pow.f64 (/.f64 2 alpha) 2)
(pow.f64 (cbrt.f64 (/.f64 2 alpha)) 6)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) 3)
(pow.f64 (*.f64 8 (pow.f64 alpha -3)) 2/3)
(pow.f64 (*.f64 16 (pow.f64 alpha -4)) 1/2)
(pow.f64 (*.f64 64 (pow.f64 alpha -6)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 alpha)) 4)
(pow.f64 (/.f64 alpha (/.f64 4 alpha)) -1)
(pow.f64 (*.f64 alpha 1/2) -2)
(pow.f64 (pow.f64 (*.f64 alpha 1/2) 2) -1)
(pow.f64 (/.f64 (/.f64 alpha (/.f64 4 alpha)) 1) -1)
(sqrt.f64 (*.f64 16 (pow.f64 alpha -4)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha))))
(cbrt.f64 (*.f64 64 (pow.f64 alpha -6)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 alpha) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 alpha) alpha)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 4 alpha) alpha)) 1) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 2 alpha)) 1) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (/.f64 2 alpha)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 64 (pow.f64 alpha -6))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 4 alpha) alpha)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (/.f64 4 alpha))) -1))
(exp.f64 (+.f64 (log.f64 (/.f64 2 alpha)) (*.f64 (log.f64 (/.f64 2 alpha)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 1) (log.f64 (/.f64 2 alpha))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 2 alpha)) 1) (.f64 (log.f64 (/.f64 2 alpha)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(+.f64 (/.f64 2 alpha) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha))
(+.f64 0 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))
(*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)
(*.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (.f64 4 alpha)) (pow.f64 alpha -3))
(.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (.f64 8 (pow.f64 alpha -3))))))
(.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)))
(/.f64 1 (/.f64 (pow.f64 alpha 3) (-.f64 (.f64 (.f64 alpha alpha) 2) (*.f64 4 alpha))))
(/.f64 1 (/.f64 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (.f64 8 (pow.f64 alpha -3)))) (-.f64 (.f64 8 (pow.f64 alpha -3)) (*.f64 64 (pow.f64 alpha -6)))))
(/.f64 1 (/.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)) (-.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 16 (pow.f64 alpha -4)))))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (*.f64 4 alpha)) (pow.f64 alpha 3))
(/.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3)))))
(/.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 16 (pow.f64 alpha -4))) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (-.f64 (.f64 2 (/.f64 alpha (/.f64 4 alpha))) alpha) (.f64 alpha (/.f64 alpha (/.f64 4 alpha))))
(/.f64 (-.f64 (.f64 2 (.f64 alpha (neg.f64 alpha))) (.f64 alpha -4)) (.f64 alpha (*.f64 alpha (neg.f64 alpha))))
(/.f64 (-.f64 (.f64 2 alpha) (.f64 alpha (/.f64 4 alpha))) (*.f64 alpha alpha))
(/.f64 (-.f64 (.f64 alpha alpha) (.f64 (.f64 alpha 1/2) 4)) (.f64 (.f64 alpha 1/2) (.f64 alpha alpha)))
(/.f64 (-.f64 (/.f64 alpha (/.f64 4 alpha)) (.f64 (.f64 alpha 1/2) 1)) (.f64 (.f64 alpha 1/2) (/.f64 alpha (/.f64 4 alpha))))
(/.f64 (-.f64 (.f64 alpha (neg.f64 alpha)) (.f64 (.f64 alpha 1/2) -4)) (.f64 (.f64 alpha 1/2) (.f64 alpha (neg.f64 alpha))))
(/.f64 (-.f64 alpha (.f64 (.f64 alpha 1/2) (/.f64 4 alpha))) (.f64 (.f64 alpha 1/2) alpha))
(/.f64 (-.f64 (.f64 -2 (.f64 alpha alpha)) (.f64 (neg.f64 alpha) 4)) (.f64 (neg.f64 alpha) (*.f64 alpha alpha)))
(/.f64 (-.f64 (.f64 -2 (/.f64 alpha (/.f64 4 alpha))) (.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (/.f64 alpha (/.f64 4 alpha))))
(/.f64 (-.f64 (.f64 -2 (.f64 alpha (neg.f64 alpha))) (.f64 (neg.f64 alpha) -4)) (.f64 (neg.f64 alpha) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (-.f64 (.f64 -2 alpha) (.f64 (neg.f64 alpha) (/.f64 4 alpha))) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (*.f64 4 alpha))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (neg.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6)))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 16 (pow.f64 alpha -4)))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(/.f64 (fma.f64 8 (pow.f64 alpha -3) (pow.f64 (.f64 -4 (pow.f64 alpha -2)) 3)) (fma.f64 4 (pow.f64 alpha -2) (-.f64 (pow.f64 (.f64 -4 (pow.f64 alpha -2)) 2) (.f64 (/.f64 2 alpha) (.f64 -4 (pow.f64 alpha -2))))))
(/.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (pow.f64 (.f64 -4 (pow.f64 alpha -2)) 2)) (-.f64 (/.f64 2 alpha) (.f64 -4 (pow.f64 alpha -2))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (.f64 4 alpha)) alpha) (.f64 alpha alpha))
(pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)
(pow.f64 (/.f64 (pow.f64 alpha 3) (-.f64 (.f64 (.f64 alpha alpha) 2) (*.f64 4 alpha))) -1)
(pow.f64 (/.f64 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (.f64 8 (pow.f64 alpha -3)))) (-.f64 (.f64 8 (pow.f64 alpha -3)) (*.f64 64 (pow.f64 alpha -6)))) -1)
(pow.f64 (/.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)) (-.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 16 (pow.f64 alpha -4)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (exp.f64 (.f64 -4 (pow.f64 alpha -2)))))
(log.f64 (.f64 (exp.f64 (.f64 -4 (pow.f64 alpha -2))) (+.f64 1 (expm1.f64 (/.f64 2 alpha)))))
(log.f64 (/.f64 (exp.f64 (/.f64 2 alpha)) (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (exp.f64 (/.f64 (/.f64 4 alpha) alpha))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(fma.f64 4 (neg.f64 (pow.f64 alpha -2)) (/.f64 2 alpha))
(fma.f64 2 (/.f64 1 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 2 (/.f64 1 alpha) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 2 (sqrt.f64 (pow.f64 alpha -2)) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 2 (sqrt.f64 (pow.f64 alpha -2)) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (/.f64 2 alpha) 1 (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (/.f64 2 alpha) 1 (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (/.f64 2 alpha) (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha))
(fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1 (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1 (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 1 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 1 (/.f64 2 alpha) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 1 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha))
(fma.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha)) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (*.f64 4 alpha)) (pow.f64 alpha -3) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (.f64 4 alpha)) (pow.f64 alpha -3) (fma.f64 (.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (*.f64 4 alpha)) (pow.f64 alpha -3) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (.f64 4 alpha)) (pow.f64 alpha -3) (+.f64 (.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(fma.f64 -2 (/.f64 1 (neg.f64 alpha)) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -2 (/.f64 1 (neg.f64 alpha)) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3))))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (.f64 8 (pow.f64 alpha -3))))) (fma.f64 (.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (.f64 8 (pow.f64 alpha -3))))) (+.f64 (.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (/.f64 1 alpha) 2 (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (/.f64 1 alpha) 2 (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (+.f64 (.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -4 (pow.f64 alpha -2))) 2) (cbrt.f64 (.f64 -4 (pow.f64 alpha -2))) (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (.f64 -4 (pow.f64 alpha -2))) (sqrt.f64 (.f64 -4 (pow.f64 alpha -2))) (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 -1 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (/.f64 2 alpha))
(fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (/.f64 2 alpha))

simplify130.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1318×	`fma-neg`
644×	`div-sub`
560×	`distribute-lft-neg-in`
536×	`distribute-rgt-neg-in`
514×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	4294974250
1	1049	6600
2	3794	6498

Stop Event

1×	node limit

Counts

206 → 240

Calls

Call 1

Inputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 -4 (pow.f64 alpha 2))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 0 (/.f64 (/.f64 4 alpha) alpha))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha))) 1)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(.f64 2 (.f64 (/.f64 1 alpha) (/.f64 2 alpha)))
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha))
(*.f64 1 (/.f64 (/.f64 4 alpha) alpha))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (pow.f64 (/.f64 2 alpha) 3/2))
(.f64 -4 (/.f64 1 (.f64 alpha (neg.f64 alpha))))
(*.f64 (pow.f64 alpha -2) 4)
(*.f64 (/.f64 4 alpha) (/.f64 1 alpha))
(*.f64 (pow.f64 (/.f64 2 alpha) 3/2) (sqrt.f64 (/.f64 2 alpha)))
(.f64 (.f64 (/.f64 2 alpha) 2) (/.f64 1 alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 5) (cbrt.f64 (/.f64 2 alpha)))
(pow.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(pow.f64 (/.f64 2 alpha) 2)
(pow.f64 (cbrt.f64 (/.f64 2 alpha)) 6)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) 3)
(pow.f64 (*.f64 8 (pow.f64 alpha -3)) 2/3)
(pow.f64 (*.f64 16 (pow.f64 alpha -4)) 1/2)
(pow.f64 (*.f64 64 (pow.f64 alpha -6)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 alpha)) 4)
(pow.f64 (/.f64 alpha (/.f64 4 alpha)) -1)
(pow.f64 (*.f64 alpha 1/2) -2)
(pow.f64 (pow.f64 (*.f64 alpha 1/2) 2) -1)
(pow.f64 (/.f64 (/.f64 alpha (/.f64 4 alpha)) 1) -1)
(sqrt.f64 (*.f64 16 (pow.f64 alpha -4)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha))))
(cbrt.f64 (*.f64 64 (pow.f64 alpha -6)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 alpha) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 alpha) alpha)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 4 alpha) alpha)) 1) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 2 alpha)) 1) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (/.f64 2 alpha)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 64 (pow.f64 alpha -6))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 4 alpha) alpha)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (/.f64 4 alpha))) -1))
(exp.f64 (+.f64 (log.f64 (/.f64 2 alpha)) (*.f64 (log.f64 (/.f64 2 alpha)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 1) (log.f64 (/.f64 2 alpha))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 2 alpha)) 1) (.f64 (log.f64 (/.f64 2 alpha)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(+.f64 (/.f64 2 alpha) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha))
(+.f64 0 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))
(*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)
(*.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (.f64 4 alpha)) (pow.f64 alpha -3))
(.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (.f64 8 (pow.f64 alpha -3))))))
(.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)))
(/.f64 1 (/.f64 (pow.f64 alpha 3) (-.f64 (.f64 (.f64 alpha alpha) 2) (*.f64 4 alpha))))
(/.f64 1 (/.f64 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (.f64 8 (pow.f64 alpha -3)))) (-.f64 (.f64 8 (pow.f64 alpha -3)) (*.f64 64 (pow.f64 alpha -6)))))
(/.f64 1 (/.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)) (-.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 16 (pow.f64 alpha -4)))))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (*.f64 4 alpha)) (pow.f64 alpha 3))
(/.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3)))))
(/.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 16 (pow.f64 alpha -4))) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (-.f64 (.f64 2 (/.f64 alpha (/.f64 4 alpha))) alpha) (.f64 alpha (/.f64 alpha (/.f64 4 alpha))))
(/.f64 (-.f64 (.f64 2 (.f64 alpha (neg.f64 alpha))) (.f64 alpha -4)) (.f64 alpha (*.f64 alpha (neg.f64 alpha))))
(/.f64 (-.f64 (.f64 2 alpha) (.f64 alpha (/.f64 4 alpha))) (*.f64 alpha alpha))
(/.f64 (-.f64 (.f64 alpha alpha) (.f64 (.f64 alpha 1/2) 4)) (.f64 (.f64 alpha 1/2) (.f64 alpha alpha)))
(/.f64 (-.f64 (/.f64 alpha (/.f64 4 alpha)) (.f64 (.f64 alpha 1/2) 1)) (.f64 (.f64 alpha 1/2) (/.f64 alpha (/.f64 4 alpha))))
(/.f64 (-.f64 (.f64 alpha (neg.f64 alpha)) (.f64 (.f64 alpha 1/2) -4)) (.f64 (.f64 alpha 1/2) (.f64 alpha (neg.f64 alpha))))
(/.f64 (-.f64 alpha (.f64 (.f64 alpha 1/2) (/.f64 4 alpha))) (.f64 (.f64 alpha 1/2) alpha))
(/.f64 (-.f64 (.f64 -2 (.f64 alpha alpha)) (.f64 (neg.f64 alpha) 4)) (.f64 (neg.f64 alpha) (*.f64 alpha alpha)))
(/.f64 (-.f64 (.f64 -2 (/.f64 alpha (/.f64 4 alpha))) (.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (/.f64 alpha (/.f64 4 alpha))))
(/.f64 (-.f64 (.f64 -2 (.f64 alpha (neg.f64 alpha))) (.f64 (neg.f64 alpha) -4)) (.f64 (neg.f64 alpha) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (-.f64 (.f64 -2 alpha) (.f64 (neg.f64 alpha) (/.f64 4 alpha))) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (*.f64 4 alpha))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (neg.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6)))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 16 (pow.f64 alpha -4)))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(/.f64 (fma.f64 8 (pow.f64 alpha -3) (pow.f64 (.f64 -4 (pow.f64 alpha -2)) 3)) (fma.f64 4 (pow.f64 alpha -2) (-.f64 (pow.f64 (.f64 -4 (pow.f64 alpha -2)) 2) (.f64 (/.f64 2 alpha) (.f64 -4 (pow.f64 alpha -2))))))
(/.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (pow.f64 (.f64 -4 (pow.f64 alpha -2)) 2)) (-.f64 (/.f64 2 alpha) (.f64 -4 (pow.f64 alpha -2))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (.f64 4 alpha)) alpha) (.f64 alpha alpha))
(pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)
(pow.f64 (/.f64 (pow.f64 alpha 3) (-.f64 (.f64 (.f64 alpha alpha) 2) (*.f64 4 alpha))) -1)
(pow.f64 (/.f64 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (.f64 8 (pow.f64 alpha -3)))) (-.f64 (.f64 8 (pow.f64 alpha -3)) (*.f64 64 (pow.f64 alpha -6)))) -1)
(pow.f64 (/.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)) (-.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 16 (pow.f64 alpha -4)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (exp.f64 (.f64 -4 (pow.f64 alpha -2)))))
(log.f64 (.f64 (exp.f64 (.f64 -4 (pow.f64 alpha -2))) (+.f64 1 (expm1.f64 (/.f64 2 alpha)))))
(log.f64 (/.f64 (exp.f64 (/.f64 2 alpha)) (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (exp.f64 (/.f64 (/.f64 4 alpha) alpha))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(fma.f64 4 (neg.f64 (pow.f64 alpha -2)) (/.f64 2 alpha))
(fma.f64 2 (/.f64 1 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 2 (/.f64 1 alpha) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 2 (sqrt.f64 (pow.f64 alpha -2)) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 2 (sqrt.f64 (pow.f64 alpha -2)) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (/.f64 2 alpha) 1 (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (/.f64 2 alpha) 1 (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (/.f64 2 alpha) (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha))
(fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1 (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1 (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 1 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 1 (/.f64 2 alpha) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 1 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha))
(fma.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha)) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (*.f64 4 alpha)) (pow.f64 alpha -3) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (.f64 4 alpha)) (pow.f64 alpha -3) (fma.f64 (.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (*.f64 4 alpha)) (pow.f64 alpha -3) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (.f64 4 alpha)) (pow.f64 alpha -3) (+.f64 (.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(fma.f64 -2 (/.f64 1 (neg.f64 alpha)) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -2 (/.f64 1 (neg.f64 alpha)) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3))))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (.f64 8 (pow.f64 alpha -3))))) (fma.f64 (.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (.f64 8 (pow.f64 alpha -3))))) (+.f64 (.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (/.f64 1 alpha) 2 (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (/.f64 1 alpha) 2 (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (+.f64 (.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -4 (pow.f64 alpha -2))) 2) (cbrt.f64 (.f64 -4 (pow.f64 alpha -2))) (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (.f64 -4 (pow.f64 alpha -2))) (sqrt.f64 (.f64 -4 (pow.f64 alpha -2))) (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 -1 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (/.f64 2 alpha))
(fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (/.f64 2 alpha))

Outputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(*.f64 -4 (pow.f64 alpha -2))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(+.f64 0 (/.f64 (/.f64 4 alpha) alpha))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (.f64 4 (pow.f64 alpha -2))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (.f64 4 (pow.f64 alpha -2))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha))) 1)
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 4 (pow.f64 alpha -2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(.f64 2 (.f64 (/.f64 1 alpha) (/.f64 2 alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 1 (/.f64 (/.f64 4 alpha) alpha))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4))
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (pow.f64 (/.f64 2 alpha) 3/2))
(.f64 -4 (/.f64 1 (.f64 alpha (neg.f64 alpha))))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 (pow.f64 alpha -2) 4)
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 (/.f64 4 alpha) (/.f64 1 alpha))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 (pow.f64 (/.f64 2 alpha) 3/2) (sqrt.f64 (/.f64 2 alpha)))
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (pow.f64 (/.f64 2 alpha) 3/2))
(.f64 (.f64 (/.f64 2 alpha) 2) (/.f64 1 alpha))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 5) (cbrt.f64 (/.f64 2 alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(pow.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(pow.f64 (cbrt.f64 (/.f64 2 alpha)) 6)
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) 3)
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(pow.f64 (*.f64 8 (pow.f64 alpha -3)) 2/3)
(.f64 (cbrt.f64 (.f64 8 (pow.f64 alpha -3))) (cbrt.f64 (*.f64 8 (pow.f64 alpha -3))))
(pow.f64 (*.f64 16 (pow.f64 alpha -4)) 1/2)
(sqrt.f64 (*.f64 16 (pow.f64 alpha -4)))
(pow.f64 (*.f64 64 (pow.f64 alpha -6)) 1/3)
(cbrt.f64 (*.f64 64 (pow.f64 alpha -6)))
(pow.f64 (sqrt.f64 (/.f64 2 alpha)) 4)
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(pow.f64 (/.f64 alpha (/.f64 4 alpha)) -1)
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(pow.f64 (*.f64 alpha 1/2) -2)
(pow.f64 (pow.f64 (*.f64 alpha 1/2) 2) -1)
(/.f64 1 (pow.f64 (*.f64 alpha 1/2) 2))
(/.f64 1 (.f64 (.f64 alpha alpha) 1/4))
(pow.f64 (/.f64 (/.f64 alpha (/.f64 4 alpha)) 1) -1)
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(sqrt.f64 (*.f64 16 (pow.f64 alpha -4)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 alpha) alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha))))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(cbrt.f64 (*.f64 64 (pow.f64 alpha -6)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(exp.f64 (log.f64 (/.f64 (/.f64 4 alpha) alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 alpha) alpha)) 1))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 4 alpha) alpha)) 1) 1))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 2 alpha)) 1) 2))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (/.f64 2 alpha)))) 3))
(/.f64 (/.f64 4 alpha) alpha)
(*.f64 4 (pow.f64 alpha -2))
(exp.f64 (.f64 (log.f64 (.f64 64 (pow.f64 alpha -6))) 1/3))
(cbrt.f64 (*.f64 64 (pow.f64 alpha -6)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 4 alpha) alpha)) 3) 1/3))
(/.f64 (/.f64 4 alpha) alpha)
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(fma.f64 (pow.f64 alpha -3) (.f64 alpha (fma.f64 alpha 2 -4)) (fma.f64 -4 (pow.f64 alpha -2) (.f64 4 (pow.f64 alpha -2))))
(fma.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (*.f64 4 alpha)) (pow.f64 alpha -3) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (+.f64 (.f64 alpha (.f64 alpha 2)) (*.f64 alpha -4)) (pow.f64 alpha -3) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (pow.f64 alpha -3) (.f64 alpha (+.f64 (.f64 alpha 2) -4)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (.f64 4 (pow.f64 alpha -2))))
(fma.f64 (pow.f64 alpha -3) (.f64 alpha (fma.f64 alpha 2 -4)) (-.f64 (.f64 4 (pow.f64 alpha -2)) (.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4))))
(fma.f64 (-.f64 (.f64 (.f64 alpha alpha) 2) (.f64 4 alpha)) (pow.f64 alpha -3) (+.f64 (.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (+.f64 (.f64 alpha (.f64 alpha 2)) (*.f64 alpha -4)) (pow.f64 alpha -3) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (pow.f64 alpha -3) (.f64 alpha (+.f64 (.f64 alpha 2) -4)) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (pow.f64 alpha -3) (.f64 alpha (fma.f64 alpha 2 -4)) (fma.f64 -4 (pow.f64 alpha -2) (.f64 4 (pow.f64 alpha -2))))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(fma.f64 -2 (/.f64 1 (neg.f64 alpha)) (*.f64 -4 (pow.f64 alpha -2)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(fma.f64 -2 (/.f64 1 (neg.f64 alpha)) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(fma.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3))))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 4 (pow.f64 alpha -2))) (/.f64 (fma.f64 8 (pow.f64 alpha -3) (.f64 (pow.f64 alpha -6) -64)) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3))))))
(fma.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (.f64 8 (pow.f64 alpha -3))))) (fma.f64 (.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3))))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 4 (pow.f64 alpha -2))) (/.f64 (fma.f64 8 (pow.f64 alpha -3) (.f64 (pow.f64 alpha -6) -64)) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3))))))
(fma.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (.f64 4 (pow.f64 alpha -2))) (/.f64 (fma.f64 8 (pow.f64 alpha -3) (.f64 (pow.f64 alpha -6) -64)) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (.f64 8 (pow.f64 alpha -3))))))
(+.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4))) (/.f64 (fma.f64 8 (pow.f64 alpha -3) (.f64 (pow.f64 alpha -6) -64)) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3))))))
(fma.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (.f64 8 (pow.f64 alpha -3))))) (+.f64 (.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3))))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 4 (pow.f64 alpha -2))) (/.f64 (fma.f64 8 (pow.f64 alpha -3) (.f64 (pow.f64 alpha -6) -64)) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (*.f64 8 (pow.f64 alpha -3))))))
(fma.f64 (/.f64 1 alpha) 2 (*.f64 -4 (pow.f64 alpha -2)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(fma.f64 (/.f64 1 alpha) 2 (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(fma.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 -16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 4 (pow.f64 alpha -2))) (/.f64 (+.f64 (.f64 4 (pow.f64 alpha -2)) (*.f64 (pow.f64 alpha -4) -16)) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(+.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 4 (pow.f64 alpha -2))) (/.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))) (fma.f64 -4 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 -16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 4 (pow.f64 alpha -2))) (/.f64 (+.f64 (.f64 4 (pow.f64 alpha -2)) (*.f64 (pow.f64 alpha -4) -16)) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(+.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 4 (pow.f64 alpha -2))) (/.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))) (fma.f64 -4 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 -16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (.f64 4 (pow.f64 alpha -2))) (/.f64 (+.f64 (.f64 4 (pow.f64 alpha -2)) (.f64 (pow.f64 alpha -4) -16)) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(+.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4))) (/.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))) (fma.f64 -4 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (+.f64 (.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(fma.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 -16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 4 (pow.f64 alpha -2))) (/.f64 (+.f64 (.f64 4 (pow.f64 alpha -2)) (*.f64 (pow.f64 alpha -4) -16)) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(+.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 4 (pow.f64 alpha -2))) (/.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))) (fma.f64 -4 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -4 (pow.f64 alpha -2))) 2) (cbrt.f64 (.f64 -4 (pow.f64 alpha -2))) (/.f64 2 alpha))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(fma.f64 (sqrt.f64 (.f64 -4 (pow.f64 alpha -2))) (sqrt.f64 (.f64 -4 (pow.f64 alpha -2))) (/.f64 2 alpha))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (.f64 (.f64 -4 (pow.f64 alpha -2)) 1))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -1 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (.f64 4 (pow.f64 alpha -2))))
(+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (-.f64 (.f64 4 (pow.f64 alpha -2)) (.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (/.f64 2 alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (/.f64 2 alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (neg.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (/.f64 2 alpha))
(fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (/.f64 2 alpha))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)

eval200.0ms (2.5%)

Compiler: Compiled 10063 to 7583 computations (24.6% saved)

prune89.0ms (1.1%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	473	3	476
Fresh	0	5	5
Picked	1	0	1
Done	1	8	9
Total	475	16	491

Accurracy

100.0%

Counts

491 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.9%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
	24.6%	(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
▶	30.3%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	10.6%	(/.f64 (/.f64 (.f64 alpha (-.f64 alpha 2)) (.f64 1/2 (pow.f64 alpha 3))) 2)
▶	26.1%	(/.f64 (/.f64 2 alpha) 2)
▶	30.3%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
✓	74.3%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	24.3%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
✓	24.9%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	53.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	73.6%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	72.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	50.9%	(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
✓	51.8%	(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
✓	33.0%	(/.f64 2 2)
✓	53.8%	(/.f64 1 2)

Compiler

Compiled 296 to 230 computations (22.3% saved)

localize10.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize13.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 29 to 18 computations (37.9% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1224×	`unpow-prod-down`
1140×	`prod-diff`
886×	`log-prod`
582×	`pow-prod-down`
546×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	186	32
2	2693	32

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

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

simplify198.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1702×	`fma-def`
944×	`log-prod`
768×	`exp-prod`
690×	`cube-prod`
674×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	4990
1	1060	3862
2	4488	3858

Stop Event

1×	node limit

Counts

182 → 225

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 57 to 36 computations (36.8% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite111.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`log-prod`
1480×	`fma-def`
594×	`fma-neg`
582×	`expm1-udef`
578×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	302	50
2	4925	50

Stop Event

1×	node limit

Counts

2 → 187

Calls

Call 1

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

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

simplify160.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1184×	`fma-neg`
992×	`unswap-sqr`
932×	`div-sub`
460×	`fma-def`
416×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	11021
1	1360	10103
2	4904	9871

Stop Event

1×	node limit

Counts

235 → 284

Calls

Call 1

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

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

localize34.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 2 beta) alpha)
	100.0%	(+.f64 beta (+.f64 2 beta))
✓	100.0%	(-.f64 (-.f64 -2 beta) beta)
✓	94.6%	(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))

Compiler

Compiled 83 to 51 computations (38.6% saved)

series5.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	-inf	(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
1.0ms	beta	@	0	(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
0.0ms	alpha	@	0	(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
0.0ms	beta	@	inf	(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
0.0ms	alpha	@	-inf	(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))

rewrite108.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1780×	`log-prod`
1266×	`fma-def`
650×	`expm1-udef`
646×	`log1p-udef`
492×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	83
1	357	83
2	5504	79

Stop Event

1×	node limit

Counts

3 → 203

Calls

Call 1

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

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

simplify129.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1148×	`unswap-sqr`
596×	`fma-neg`
504×	`div-sub`
478×	`cancel-sign-sub-inv`
474×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	7343
1	1174	6481
2	3833	6119

Stop Event

1×	node limit

Counts

263 → 286

Calls

Call 1

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

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

eval838.0ms (10.4%)

Compiler: Compiled 26186 to 17904 computations (31.6% saved)

prune264.0ms (3.3%)

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	987	4	991
Fresh	0	3	3
Picked	1	0	1
Done	1	11	12
Total	989	18	1007

Accurracy

100.0%

Counts

1007 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.6%	(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
✓	30.3%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	8.6%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
	10.6%	(/.f64 (/.f64 (.f64 alpha (-.f64 alpha 2)) (.f64 1/2 (pow.f64 alpha 3))) 2)
	5.0%	(/.f64 (/.f64 beta alpha) 2)
✓	26.1%	(/.f64 (/.f64 2 alpha) 2)
	8.6%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
✓	74.3%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	7.2%	(/.f64 (-.f64 (.f64 -2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) 2)
	24.3%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
✓	24.9%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	53.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	73.6%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	72.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	50.9%	(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
✓	51.8%	(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
✓	33.0%	(/.f64 2 2)
✓	53.8%	(/.f64 1 2)

Compiler

Compiled 207 to 160 computations (22.7% saved)

regimes166.0ms (2.1%)

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

36.0ms	alpha
33.0ms	beta
15.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
94.8%	2	`alpha`
76.9%	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 295 to 209 computations (29.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999165582	-0.0007002870263641109

Compiler

Compiled 20 to 15 computations (25% saved)

regimes150.0ms (1.9%)

Counts

23 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 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 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (.f64 -2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) 2)
(/.f64 (/.f64 (.f64 alpha (-.f64 alpha 2)) (.f64 1/2 (pow.f64 alpha 3))) 2)

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

Calls

5 calls:

45.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
44.0ms	alpha
35.0ms	beta
14.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
94.8%	2	`alpha`
76.9%	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 273 to 195 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999165582	-0.0007002870263641109

Compiler

Compiled 20 to 15 computations (25% saved)

regimes101.0ms (1.2%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

5 calls:

38.0ms	beta
31.0ms	alpha
15.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
94.8%	2	`alpha`
76.2%	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 218 to 159 computations (27.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999165582	-0.0007002870263641109

Compiler

Compiled 20 to 15 computations (25% saved)

regimes67.0ms (0.8%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	beta
29.0ms	alpha

Results

Accuracy	Segments	Branch
94.3%	2	`alpha`
75.4%	3	`beta`

Compiler

Compiled 124 to 96 computations (22.6% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3791028759605.374	8817886291808.826

Results

8.0ms

80×

body

256

valid

Compiler

Compiled 140 to 110 computations (21.4% saved)

regimes50.0ms (0.6%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	beta
22.0ms	alpha

Results

Accuracy	Segments	Branch
89.7%	2	`alpha`
75.4%	3	`beta`

Compiler

Compiled 84 to 67 computations (20.2% saved)

bsearch29.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	3791028759605.374	8817886291808.826

Results

27.0ms

80×

body

256

valid

Compiler

Compiled 120 to 100 computations (16.7% saved)

regimes41.0ms (0.5%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	beta
13.0ms	alpha

Results

Accuracy	Segments	Branch
75.3%	2	`alpha`
74.7%	4	`beta`

Compiler

Compiled 57 to 46 computations (19.3% saved)

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	9.247729227341131e-5	5.122237131727397

Results

20.0ms

128×

body

256

valid

Compiler

Compiled 164 to 143 computations (12.8% saved)

regimes30.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	beta
11.0ms	alpha

Results

Accuracy	Segments	Branch
75.1%	2	`alpha`
74.3%	4	`beta`

Compiler

Compiled 29 to 24 computations (17.2% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	5.122237131727397	494792709379.67975

Results

16.0ms

160×

body

256

valid

Compiler

Compiled 160 to 145 computations (9.4% saved)

regimes24.0ms (0.3%)

Accuracy

Total -43.8b remaining (-242.2%)

Threshold costs -43.8b (-242.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	beta
6.0ms	alpha

Results

Accuracy	Segments	Branch
59.0%	2	`alpha`
71.8%	2	`beta`

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch25.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.0110415548347429e-8	224.23626289251274

Results

11.0ms	115×	body	256	valid
7.0ms	29×	body	1024	valid
2.0ms	12×	body	512	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 140 to 135 computations (3.6% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`+-commutative`
36×	`unsub-neg`
26×	`neg-mul-1`
20×	`sub-neg`
14×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	541
1	86	541
2	103	541
3	126	541
4	147	541
5	180	541
6	183	541

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 3800000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 3800000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 3039929748475085/2251799813685248) (/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 5854679515581645/1125899906842624) (/.f64 1 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 2308094809027379/1125899906842624) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (/.f64 (+.f64 beta (+.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 beta (+.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 3800000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 3800000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 3800000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 3800000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 3039929748475085/2251799813685248) (/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 3039929748475085/2251799813685248) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 5854679515581645/1125899906842624) (/.f64 1 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 5854679515581645/1125899906842624) 1/2 (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 2308094809027379/1125899906842624) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2308094809027379/1125899906842624) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 218 to 158 computations (27.5% saved)

soundness741.0ms (9.2%)

Rules

1380×	`fma-neg`
1380×	`fma-neg`
1380×	`fma-neg`
1232×	`log-prod`
1174×	`fma-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	25	37
2	42	37
3	70	37
4	122	37
5	242	33
6	449	33
7	759	33
8	1616	33
9	3796	33
10	7629	33
0	510	10982
1	1409	10596
2	4973	10328
0	11	56
1	259	56
2	3902	56
0	510	10982
1	1409	10596
2	4973	10328
0	510	10982
1	1409	10596
2	4973	10328

Stop Event

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

Compiler

Compiled 421 to 311 computations (26.1% saved)

end98.0ms (1.2%)

Compiler: Compiled 202 to 138 computations (31.7% saved)

Details

analyze67.0ms (0.8%)

sample1.8s (22.4%)

preprocess82.0ms (1%)

simplify81.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.2%)

series7.0ms (0.1%)

rewrite131.0ms (1.6%)

simplify140.0ms (1.7%)

eval289.0ms (3.6%)

prune89.0ms (1.1%)

localize28.0ms (0.3%)

series4.0ms (0.1%)

rewrite143.0ms (1.8%)

simplify108.0ms (1.3%)

localize4.0ms (0%)

localize5.0ms (0.1%)

localize43.0ms (0.5%)

series1.0ms (0%)

rewrite67.0ms (0.8%)

simplify58.0ms (0.7%)

localize17.0ms (0.2%)

series1.0ms (0%)

rewrite68.0ms (0.8%)

simplify80.0ms (1%)

eval310.0ms (3.8%)

prune103.0ms (1.3%)

localize23.0ms (0.3%)

series1.0ms (0%)

rewrite80.0ms (1%)

simplify70.0ms (0.9%)

localize3.0ms (0%)

localize8.0ms (0.1%)

localize20.0ms (0.3%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite99.0ms (1.2%)

simplify130.0ms (1.6%)

eval200.0ms (2.5%)

prune89.0ms (1.1%)

localize10.0ms (0.1%)

localize5.0ms (0.1%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite79.0ms (1%)

simplify198.0ms (2.5%)

localize23.0ms (0.3%)

series4.0ms (0.1%)

rewrite111.0ms (1.4%)

simplify160.0ms (2%)

localize34.0ms (0.4%)

series5.0ms (0.1%)

rewrite108.0ms (1.3%)

simplify129.0ms (1.6%)

eval838.0ms (10.4%)

prune264.0ms (3.3%)

regimes166.0ms (2.1%)

bsearch0.0ms (0%)

regimes150.0ms (1.9%)

bsearch0.0ms (0%)

regimes101.0ms (1.2%)

bsearch0.0ms (0%)

regimes67.0ms (0.8%)

bsearch16.0ms (0.2%)

regimes50.0ms (0.6%)

bsearch29.0ms (0.4%)

regimes41.0ms (0.5%)

bsearch22.0ms (0.3%)

regimes30.0ms (0.4%)

bsearch21.0ms (0.3%)

regimes24.0ms (0.3%)

bsearch25.0ms (0.3%)

simplify18.0ms (0.2%)

soundness741.0ms (9.2%)

end98.0ms (1.2%)

Profiling