Details

analyze40.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.7s (15.7%)

Results

1.1s	6479×	body	256	valid
369.0ms	1045×	body	1024	valid
155.0ms	632×	body	512	valid
77.0ms	100×	body	2048	valid

Bogosity

preprocess94.0ms (0.9%)

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 (0.7%)

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

75.8%

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize16.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	97.6%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite93.0ms (0.8%)

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)))))

simplify138.0ms (1.3%)

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)
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(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)))))

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

eval233.0ms (2.1%)

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

prune83.0ms (0.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	378	12	390
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	378	13	391

Accurracy

99.9%

Counts

391 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.8%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
	54.7%	(/.f64 (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) 2)
▶	75.5%	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
	47.9%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
▶	28.0%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	76.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	51.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	25.9%	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) 2)
✓	75.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	73.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	75.8%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	3.7%	(/.f64 (+.f64 -1 1) 2)
▶	38.1%	(/.f64 2 2)

Compiler

Compiled 467 to 343 computations (26.6% saved)

localize31.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	100.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
✓	100.0%	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	97.6%	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 73 to 47 computations (35.6% saved)

series7.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite107.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`fma-def`
1546×	`log-prod`
726×	`fma-neg`
582×	`expm1-udef`
582×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	118
1	321	100
2	5131	100

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

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

simplify158.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1186×	`fma-neg`
700×	`fma-def`
468×	`log-prod`
450×	`+-commutative`
444×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	612	12464
1	1612	11834
2	5786	11730

Stop Event

1×	node limit

Counts

266 → 458

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

localize3.0ms (0%)

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

localize14.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`pow1`
1442×	`add-exp-log`
1440×	`log1p-expm1-u`
1440×	`expm1-log1p-u`
1418×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	137	13
2	1866	13

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1202×	`log-prod`
1078×	`associate-r`
984×	`associate-l`
496×	`fma-def`
478×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1156
1	298	974
2	889	802
3	5152	802

Stop Event

1×	node limit

Counts

44 → 64

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`log-prod`
654×	`prod-exp`
616×	`pow-prod-down`
462×	`pow-prod-up`
424×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	206	36
2	2844	36

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

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

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

956×	`unswap-sqr`
728×	`associate-/r*`
604×	`times-frac`
582×	`log-prod`
514×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	2536
1	483	2440
2	2006	2336

Stop Event

1×	node limit

Counts

122 → 115

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	75.4%	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)

Compiler

Compiled 50 to 31 computations (38% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`prod-diff`
1178×	`log-prod`
956×	`fma-def`
490×	`expm1-udef`
490×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	269	50
2	3754	50

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1834×	`times-frac`
928×	`distribute-lft-in`
878×	`distribute-rgt-in`
776×	`unswap-sqr`
490×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	5446
1	929	5154
2	3223	5098

Stop Event

1×	node limit

Counts

102 → 218

Calls

Call 1

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

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

eval779.0ms (7.1%)

Compiler: Compiled 22627 to 15999 computations (29.3% saved)

prune317.0ms (2.9%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	846	9	855
Fresh	3	4	7
Picked	0	1	1
Done	1	4	5
Total	850	18	868

Accurracy

100.0%

Counts

868 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.7%	(/.f64 (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) 2)
✓	75.5%	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
	47.9%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
✓	76.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	25.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2)
	25.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.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)))))) 2)
	51.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	75.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	73.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	75.8%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	45.0%	(/.f64 (+.f64 (.f64 beta (+.f64 1/2 (.f64 beta -1/4))) 1) 2)
▶	46.4%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	7.8%	(/.f64 beta alpha)
✓	38.1%	(/.f64 2 2)
▶	24.4%	(/.f64 1 alpha)
	28.0%	(*.f64 (/.f64 (+.f64 beta 1) alpha) 1)
▶	25.6%	(.f64 -1/2 (+.f64 (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha) (/.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))))
▶	25.4%	(exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2)))

Compiler

Compiled 552 to 412 computations (25.4% saved)

localize55.0ms (0.5%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	99.8%	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
✓	94.2%	(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)

Compiler

Compiled 63 to 39 computations (38.1% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1274×	`log-prod`
1260×	`fma-def`
636×	`pow-exp`
504×	`log1p-udef`
502×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	282	56
2	4124	56

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

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

simplify187.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1088×	`fma-neg`
848×	`unswap-sqr`
674×	`div-sub`
660×	`sub-neg`
514×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	492	9076
1	1465	8720
2	5193	8574

Stop Event

1×	node limit

Counts

166 → 291

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

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

localize3.0ms (0%)

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

localize10.0ms (0.1%)

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

localize40.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)
✓	100.0%	(*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))
✓	96.2%	(+.f64 (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha) (/.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (.f64 alpha alpha)))
✓	96.2%	(/.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (.f64 alpha alpha))

Compiler

Compiled 106 to 55 computations (48.1% saved)

series7.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite164.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`expm1-udef`
698×	`log1p-udef`
450×	`add-sqr-sqrt`
436×	`pow1`
436×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	150
1	419	138
2	7265	138

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify197.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1240×	`fma-neg`
752×	`associate-r`
722×	`fma-def`
710×	`associate-l`
664×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	576	14701
1	1760	12743
2	7530	12647

Stop Event

1×	node limit

Counts

281 → 367

Calls

Call 1

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

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

localize36.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (fma.f64 2 beta 2) alpha)
✓	99.7%	(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2)
✓	95.8%	(log.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2))
✓	94.5%	(exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2)))

Compiler

Compiled 43 to 32 computations (25.6% saved)

series72.0ms (0.7%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
47.0ms	alpha	@	0	(log.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2))
13.0ms	alpha	@	-inf	(log.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2))
8.0ms	alpha	@	inf	(log.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2))
0.0ms	beta	@	-inf	(exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2)))
0.0ms	alpha	@	inf	(exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2)))

rewrite98.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1118×	`log-prod`
600×	`pow-prod-down`
596×	`prod-exp`
546×	`pow-prod-up`
480×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	82
1	248	82
2	2917	82

Stop Event

1×	node limit

Counts

4 → 226

Calls

Call 1

Inputs
(exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2)))
(log.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2))
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2)
(/.f64 (fma.f64 2 beta 2) alpha)

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

simplify150.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1604×	`times-frac`
988×	`log-prod`
566×	`cube-prod`
490×	`exp-prod`
384×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	9064
1	1070	7936
2	3785	7902

Stop Event

1×	node limit

Counts

322 → 285

Calls

Call 1

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

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

eval597.0ms (5.5%)

Compiler: Compiled 27902 to 18497 computations (33.7% saved)

prune340.0ms (3.1%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	1036	6	1042
Fresh	2	6	8
Picked	1	0	1
Done	1	8	9
Total	1040	20	1060

Accurracy

100.0%

Counts

1060 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(/.f64 (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) 2)
✓	75.5%	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
	47.9%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
✓	76.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	25.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2)
▶	51.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	75.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	73.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	75.8%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
▶	45.0%	(/.f64 (+.f64 (.f64 beta (+.f64 1/2 (.f64 beta -1/4))) 1) 2)
✓	46.4%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	28.0%	(/.f64 (+.f64 1 (*.f64 1 beta)) alpha)
▶	7.8%	(/.f64 beta alpha)
✓	38.1%	(/.f64 2 2)
✓	24.4%	(/.f64 1 alpha)
	10.6%	(.f64 -1/2 (/.f64 (+.f64 (.f64 (/.f64 (+.f64 beta 2) (/.f64 alpha (+.f64 2 (+.f64 beta beta)))) alpha) (.f64 alpha (+.f64 (+.f64 beta beta) -2))) (.f64 alpha alpha)))
▶	8.1%	(.f64 -1/2 (/.f64 (+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (.f64 (neg.f64 alpha) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (.f64 (neg.f64 alpha) (*.f64 alpha alpha))))
	22.9%	(.f64 -1/2 (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha)))
	21.9%	(.f64 -1/2 (+.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)) 3) (/.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))))
	21.7%	(.f64 -1/2 (+.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) alpha)) (/.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (.f64 alpha alpha))))

Compiler

Compiled 643 to 453 computations (29.5% saved)

localize39.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2))
✓	100.0%	(pow.f64 (+.f64 beta alpha) 2)
✓	91.7%	(/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))
✓	60.0%	(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)

Compiler

Compiled 122 to 65 computations (46.7% saved)

series70.0ms (0.6%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
45.0ms	alpha	@	-inf	(/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))
5.0ms	beta	@	0	(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)
4.0ms	alpha	@	0	(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)
3.0ms	alpha	@	inf	(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)
3.0ms	alpha	@	-inf	(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)

rewrite152.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`fma-def`
756×	`expm1-udef`
754×	`log1p-udef`
454×	`add-sqr-sqrt`
444×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	156
1	461	156
2	6276	148

Stop Event

1×	node limit

Counts

4 → 241

Calls

Call 1

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

Outputs
(+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) 1)
(+.f64 (.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1))) 1)
(*.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1))
(*.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1) 2)) (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)) (sqrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) 3) 1) (fma.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (-.f64 1 (.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) 1))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)))) 1) (-.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) 1))
(pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)))))
(exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)))
(+.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(-.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))) 1)
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(.f64 (sqrt.f64 (-.f64 beta alpha)) (.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -8 (neg.f64 (pow.f64 (+.f64 beta alpha) 3)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (-.f64 beta alpha))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) 2))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) 2))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) 2))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 512 (pow.f64 (+.f64 beta alpha) 9))) (+.f64 (pow.f64 (+.f64 beta alpha) 6) (-.f64 64 (.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 6) -64)) (+.f64 (pow.f64 (+.f64 beta alpha) 3) -8))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -8 (neg.f64 (pow.f64 (+.f64 beta alpha) 3)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(fma.f64 beta (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(fma.f64 1 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (cbrt.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))) (cbrt.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (sqrt.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) 2))) (/.f64 beta (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (/.f64 beta (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(fma.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) 2))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) 2) (cbrt.f64 (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (neg.f64 (cbrt.f64 (.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 beta alpha) 4)) (+.f64 4 (*.f64 (+.f64 beta alpha) -2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 beta alpha) 4)) (.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (.f64 (cbrt.f64 (+.f64 beta alpha)) (+.f64 beta alpha)) (+.f64 4 (.f64 (+.f64 beta alpha) -2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (.f64 (cbrt.f64 (+.f64 beta alpha)) (+.f64 beta alpha)) (.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) -2)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta alpha) 4)) (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (+.f64 4 (*.f64 (+.f64 beta alpha) -2)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta alpha) 4)) (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)) 1))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 2) (*.f64 (+.f64 beta alpha) -2))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 2) (.f64 (.f64 (+.f64 beta alpha) -2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (*.f64 (+.f64 beta alpha) -2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (.f64 (.f64 (+.f64 beta alpha) -2) 1))
(fma.f64 (hypot.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)))) (hypot.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)))) (fma.f64 -2 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (hypot.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)))) (hypot.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)))) (fma.f64 (neg.f64 (+.f64 beta alpha)) 2 (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (hypot.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)))) (hypot.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)))) (fma.f64 (.f64 (+.f64 beta alpha) -2) 1 (.f64 (+.f64 beta alpha) 2)))
(fma.f64 (hypot.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)))) (hypot.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 beta alpha) 2))) (cbrt.f64 (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (hypot.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)))) (hypot.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (pow.f64 (+.f64 beta alpha) 3/2) (sqrt.f64 (+.f64 beta alpha)) (+.f64 4 (*.f64 (+.f64 beta alpha) -2)))
(fma.f64 (pow.f64 (+.f64 beta alpha) 3/2) (sqrt.f64 (+.f64 beta alpha)) (.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)) 1))
(fma.f64 (sqrt.f64 (.f64 (+.f64 beta alpha) 2)) (neg.f64 (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (*.f64 (+.f64 beta alpha) -2))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (.f64 (.f64 (+.f64 beta alpha) -2) 1))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) 3/2) (+.f64 4 (*.f64 (+.f64 beta alpha) -2)))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) 3/2) (.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)) 1))
(fma.f64 (+.f64 64 (pow.f64 (+.f64 beta alpha) 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 4) 16) (.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (.f64 (+.f64 beta alpha) -2))
(fma.f64 (+.f64 64 (pow.f64 (+.f64 beta alpha) 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 4) 16) (.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (.f64 (*.f64 (+.f64 beta alpha) -2) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 3) (.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (/.f64 1 (fma.f64 (.f64 (+.f64 beta alpha) 2) (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2))) (fma.f64 -2 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 3) (.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (/.f64 1 (fma.f64 (.f64 (+.f64 beta alpha) 2) (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2))) (fma.f64 (neg.f64 (+.f64 beta alpha)) 2 (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 3) (.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (/.f64 1 (fma.f64 (.f64 (+.f64 beta alpha) 2) (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2))) (fma.f64 (.f64 (+.f64 beta alpha) -2) 1 (.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 3) (.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (/.f64 1 (fma.f64 (.f64 (+.f64 beta alpha) 2) (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 beta alpha) 2))) (cbrt.f64 (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 3) (.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (/.f64 1 (fma.f64 (.f64 (+.f64 beta alpha) 2) (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 4) -16) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (*.f64 (+.f64 beta alpha) -2))
(fma.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 4) -16) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (.f64 (.f64 (+.f64 beta alpha) -2) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2) (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (/.f64 1 (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (fma.f64 -2 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2) (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (/.f64 1 (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (fma.f64 (neg.f64 (+.f64 beta alpha)) 2 (.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2) (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (/.f64 1 (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (fma.f64 (.f64 (+.f64 beta alpha) -2) 1 (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2) (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (/.f64 1 (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 beta alpha) 2))) (cbrt.f64 (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2) (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (/.f64 1 (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (.f64 (+.f64 beta alpha) 2)) (.f64 (+.f64 beta alpha) 2)))
(fma.f64 (neg.f64 (+.f64 beta alpha)) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 (.f64 (cbrt.f64 (.f64 (+.f64 beta alpha) -2)) (cbrt.f64 (.f64 (+.f64 beta alpha) -2))) (cbrt.f64 (.f64 (+.f64 beta alpha) -2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 (.f64 (cbrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2))) (cbrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)))) (cbrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2))) (pow.f64 (+.f64 beta alpha) 2))
(fma.f64 (sqrt.f64 (.f64 (+.f64 beta alpha) -2)) (sqrt.f64 (.f64 (+.f64 beta alpha) -2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 (sqrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2))) (sqrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2))) (pow.f64 (+.f64 beta alpha) 2))
(fma.f64 -2 (+.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (.f64 (+.f64 beta alpha) 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 -1 (*.f64 (+.f64 beta alpha) 2) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (fma.f64 -2 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (fma.f64 (neg.f64 (+.f64 beta alpha)) 2 (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (fma.f64 (.f64 (+.f64 beta alpha) -2) 1 (.f64 (+.f64 beta alpha) 2)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 beta alpha) 2))) (cbrt.f64 (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (cbrt.f64 (.f64 (+.f64 beta alpha) 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 (.f64 (+.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2)) (cbrt.f64 (+.f64 beta alpha)) (+.f64 4 (.f64 (+.f64 beta alpha) -2)))
(fma.f64 (.f64 (+.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2)) (cbrt.f64 (+.f64 beta alpha)) (.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) -2)) 1))

simplify266.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1798×	`fma-def`
1408×	`distribute-lft-in`
1406×	`distribute-rgt-in`
448×	`+-commutative`
442×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	987	29877
1	3160	28247

Stop Event

1×	node limit

Counts

337 → 534

Calls

Call 1

Inputs
(+.f64 1 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 4 (pow.f64 alpha 2)) (*.f64 2 alpha)) alpha) (+.f64 (pow.f64 alpha 3) 8))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 4 (pow.f64 alpha 2)) (.f64 2 alpha)) alpha) (+.f64 (pow.f64 alpha 3) 8))) (.f64 beta (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 alpha) 2) alpha) (+.f64 (pow.f64 alpha 3) 8))) (.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) 8)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) alpha) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3)))))) (-.f64 (+.f64 4 (pow.f64 alpha 2)) (*.f64 2 alpha)))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 4 (pow.f64 alpha 2)) (.f64 2 alpha)) alpha) (+.f64 (pow.f64 alpha 3) 8))) (+.f64 (.f64 beta (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 alpha) 2) alpha) (+.f64 (pow.f64 alpha 3) 8))) (.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) 8)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) alpha) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3)))))) (-.f64 (+.f64 4 (pow.f64 alpha 2)) (.f64 2 alpha))))) (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 alpha (+.f64 alpha (.f64 2 alpha))) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3))))) (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (-.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) alpha) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3))))))) (+.f64 (pow.f64 alpha 3) 8))) (-.f64 (+.f64 4 (pow.f64 alpha 2)) (.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8))) (.f64 (-.f64 (.f64 2 alpha) 2) (-.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) 8)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) alpha) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3)))))))))))))
(+.f64 1 (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 alpha (+.f64 alpha (.f64 2 alpha))) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3))))) (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (-.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) alpha) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3))))))) (+.f64 (pow.f64 alpha 3) 8))) (-.f64 (.f64 2 alpha) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 alpha (+.f64 alpha (.f64 2 alpha))) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3))))) (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (-.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) 8)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) alpha) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3))))))) (+.f64 8 (pow.f64 alpha 3))))) (+.f64 (pow.f64 alpha 3) 8))) (+.f64 (.f64 -1 (/.f64 alpha (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3))))) (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) alpha) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3)))))) (+.f64 alpha (.f64 2 alpha))) (+.f64 (pow.f64 alpha 3) 8)))) (-.f64 (+.f64 4 (pow.f64 alpha 2)) (.f64 2 alpha)))) (/.f64 1 (+.f64 (pow.f64 alpha 3) 8)))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) alpha) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3))))))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 4 (pow.f64 alpha 2)) (.f64 2 alpha)) alpha) (+.f64 (pow.f64 alpha 3) 8))) (+.f64 (.f64 beta (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 alpha) 2) alpha) (+.f64 (pow.f64 alpha 3) 8))) (.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) 8)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) alpha) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3)))))) (-.f64 (+.f64 4 (pow.f64 alpha 2)) (.f64 2 alpha))))) (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 alpha (+.f64 alpha (.f64 2 alpha))) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3))))) (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (-.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) alpha) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3))))))) (+.f64 (pow.f64 alpha 3) 8))) (-.f64 (+.f64 4 (pow.f64 alpha 2)) (.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8))) (.f64 (-.f64 (.f64 2 alpha) 2) (-.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) 8)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) alpha) (.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 8 (pow.f64 alpha 3))))))))))))))
2
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
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2
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(/.f64 (-.f64 (+.f64 beta (.f64 -1 (-.f64 (.f64 2 beta) 2))) (.f64 -1 (+.f64 beta (.f64 2 beta)))) alpha)
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(-.f64 (+.f64 (.f64 -1 (.f64 beta (+.f64 2 (.f64 -2 alpha)))) (+.f64 4 (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (.f64 2 alpha))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (+.f64 2 (.f64 -2 alpha)))) (+.f64 4 (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (.f64 2 alpha))
(-.f64 (+.f64 4 (pow.f64 beta 2)) (*.f64 2 beta))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 2 beta) 2) alpha) (+.f64 4 (pow.f64 beta 2))) (*.f64 2 beta))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 2 beta) 2) alpha) (+.f64 4 (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 2 beta))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 2 beta) 2) alpha) (+.f64 4 (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 2 beta))
(pow.f64 alpha 2)
(+.f64 (.f64 (-.f64 (.f64 2 beta) 2) alpha) (pow.f64 alpha 2))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 2 beta) 2) alpha) (+.f64 4 (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 2 beta))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 2 beta) 2) alpha) (+.f64 4 (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 2 beta))
(pow.f64 alpha 2)
(+.f64 (.f64 -1 (.f64 (+.f64 2 (*.f64 -2 beta)) alpha)) (pow.f64 alpha 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 (.f64 -2 beta)) alpha)) (+.f64 4 (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (.f64 2 beta))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 (.f64 -2 beta)) alpha)) (+.f64 4 (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (.f64 2 beta))
(+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) 1)
(+.f64 (.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1))) 1)
(*.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1))
(*.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1) 1)
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(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1) 2)) (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)))
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(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) 3) 1) (fma.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (-.f64 1 (.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) 1))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)))) 1) (-.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) 1))
(pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)))))
(exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)))
(+.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(-.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))) 1)
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(.f64 (sqrt.f64 (-.f64 beta alpha)) (.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -8 (neg.f64 (pow.f64 (+.f64 beta alpha) 3)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (-.f64 beta alpha))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) 2))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) 2))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) 2))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 512 (pow.f64 (+.f64 beta alpha) 9))) (+.f64 (pow.f64 (+.f64 beta alpha) 6) (-.f64 64 (.f64 (pow.f64 (+.f64 beta alpha) 3) 8))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 6) -64)) (+.f64 (pow.f64 (+.f64 beta alpha) 3) -8))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -8 (neg.f64 (pow.f64 (+.f64 beta alpha) 3)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) 2))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) 3)))
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(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (.f64 (.f64 (+.f64 beta alpha) -2) 1))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) 3/2) (+.f64 4 (*.f64 (+.f64 beta alpha) -2)))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) 3/2) (.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)) 1))
(fma.f64 (+.f64 64 (pow.f64 (+.f64 beta alpha) 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 4) 16) (.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (.f64 (+.f64 beta alpha) -2))
(fma.f64 (+.f64 64 (pow.f64 (+.f64 beta alpha) 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 4) 16) (.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (.f64 (*.f64 (+.f64 beta alpha) -2) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 3) (.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (/.f64 1 (fma.f64 (.f64 (+.f64 beta alpha) 2) (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2))) (fma.f64 -2 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 3) (.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (/.f64 1 (fma.f64 (.f64 (+.f64 beta alpha) 2) (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2))) (fma.f64 (neg.f64 (+.f64 beta alpha)) 2 (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 3) (.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (/.f64 1 (fma.f64 (.f64 (+.f64 beta alpha) 2) (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2))) (fma.f64 (.f64 (+.f64 beta alpha) -2) 1 (.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 3) (.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (/.f64 1 (fma.f64 (.f64 (+.f64 beta alpha) 2) (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 beta alpha) 2))) (cbrt.f64 (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 3) (.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (/.f64 1 (fma.f64 (.f64 (+.f64 beta alpha) 2) (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 4) -16) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (*.f64 (+.f64 beta alpha) -2))
(fma.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 4) -16) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (.f64 (.f64 (+.f64 beta alpha) -2) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2) (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (/.f64 1 (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (fma.f64 -2 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2) (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (/.f64 1 (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (fma.f64 (neg.f64 (+.f64 beta alpha)) 2 (.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2) (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (/.f64 1 (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (fma.f64 (.f64 (+.f64 beta alpha) -2) 1 (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2) (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (/.f64 1 (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 beta alpha) 2))) (cbrt.f64 (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (.f64 (+.f64 beta alpha) 2)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) 2) (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (/.f64 1 (fma.f64 (+.f64 beta alpha) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (.f64 (+.f64 beta alpha) 2)) (.f64 (+.f64 beta alpha) 2)))
(fma.f64 (neg.f64 (+.f64 beta alpha)) 2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 (.f64 (cbrt.f64 (.f64 (+.f64 beta alpha) -2)) (cbrt.f64 (.f64 (+.f64 beta alpha) -2))) (cbrt.f64 (.f64 (+.f64 beta alpha) -2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 (.f64 (cbrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2))) (cbrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2)))) (cbrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2))) (pow.f64 (+.f64 beta alpha) 2))
(fma.f64 (sqrt.f64 (.f64 (+.f64 beta alpha) -2)) (sqrt.f64 (.f64 (+.f64 beta alpha) -2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 (sqrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2))) (sqrt.f64 (+.f64 4 (.f64 (+.f64 beta alpha) -2))) (pow.f64 (+.f64 beta alpha) 2))
(fma.f64 -2 (+.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (.f64 (+.f64 beta alpha) 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 -1 (*.f64 (+.f64 beta alpha) 2) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (fma.f64 -2 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (fma.f64 (neg.f64 (+.f64 beta alpha)) 2 (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (fma.f64 (.f64 (+.f64 beta alpha) -2) 1 (.f64 (+.f64 beta alpha) 2)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 beta alpha) 2))) (cbrt.f64 (.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 beta alpha) 2)))
(fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 beta alpha) 2) 4))) (cbrt.f64 (.f64 (+.f64 beta alpha) 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))
(fma.f64 (.f64 (+.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2)) (cbrt.f64 (+.f64 beta alpha)) (+.f64 4 (.f64 (+.f64 beta alpha) -2)))
(fma.f64 (.f64 (+.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2)) (cbrt.f64 (+.f64 beta alpha)) (.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) -2)) 1))

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

localize3.0ms (0%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize74.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 alpha (+.f64 alpha 2))
✓	96.5%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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	32
1	180	32
2	2441	32

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

simplify120.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1752×	`times-frac`
842×	`cancel-sign-sub-inv`
676×	`sqr-pow`
648×	`fma-neg`
530×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	4894
1	1047	4632
2	3386	4582

Stop Event

1×	node limit

Counts

162 → 232

Calls

Call 1

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

localize34.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 beta (+.f64 1/2 (.f64 beta -1/4)))

Compiler

Compiled 42 to 33 computations (21.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	inf	(.f64 beta (+.f64 1/2 (.f64 beta -1/4)))
0.0ms	beta	@	0	(.f64 beta (+.f64 1/2 (.f64 beta -1/4)))
0.0ms	beta	@	-inf	(.f64 beta (+.f64 1/2 (.f64 beta -1/4)))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`pow1`
1706×	`add-exp-log`
1706×	`log1p-expm1-u`
1706×	`expm1-log1p-u`
1678×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	178	15
2	2306	15

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1022×	`fma-def`
994×	`fma-neg`
834×	`cancel-sign-sub-inv`
738×	`distribute-lft-out`
736×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	700
1	258	666
2	1089	630
3	4977	630

Stop Event

1×	node limit

Counts

36 → 37

Calls

Call 1

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

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

localize40.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	96.1%	(+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (.f64 (neg.f64 alpha) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))
✓	94.9%	(.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha))
✓	94.0%	(.f64 (neg.f64 alpha) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))
✓	71.4%	(/.f64 (+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (.f64 (neg.f64 alpha) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (.f64 (neg.f64 alpha) (.f64 alpha alpha)))

Compiler

Compiled 140 to 60 computations (57.1% saved)

series9.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite137.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`fma-neg`
626×	`expm1-udef`
624×	`log1p-udef`
424×	`add-sqr-sqrt`
414×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	204
1	403	138
2	6734	130

Stop Event

1×	node limit

Counts

4 → 146

Calls

Call 1

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

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

simplify203.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1060×	`fma-neg`
808×	`log-prod`
656×	`associate-r`
622×	`fma-def`
534×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	402	10982
1	1252	10440
2	5957	10406

Stop Event

1×	node limit

Counts

242 → 289

Calls

Call 1

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

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

eval966.0ms (8.8%)

Compiler: Compiled 46631 to 30103 computations (35.4% saved)

prune317.0ms (2.9%)

Pruning

21 alts after pruning (10 fresh and 11 done)

	Pruned	Kept	Total
New	1083	9	1092
Fresh	6	1	7
Picked	1	0	1
Done	1	11	12
Total	1091	21	1112

Accurracy

100.0%

Counts

1112 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.1%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (+.f64 4 (.f64 alpha alpha)) (.f64 alpha -2)) 1) 2)
✓	75.5%	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
	54.5%	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) -2 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) 1)) 3) 2)
	51.1%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
✓	76.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	22.9%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
✓	51.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	48.6%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	75.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	73.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	23.3%	(/.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) 2)
✓	75.8%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
✓	45.0%	(/.f64 (+.f64 (.f64 beta (+.f64 1/2 (.f64 beta -1/4))) 1) 2)
✓	46.4%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	28.0%	(/.f64 (+.f64 1 (*.f64 1 beta)) alpha)
✓	7.8%	(/.f64 beta alpha)
✓	38.1%	(/.f64 2 2)
✓	24.4%	(/.f64 1 alpha)
	49.9%	(/.f64 1 2)
	8.3%	(.f64 -1/2 (/.f64 (+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha alpha)) (.f64 alpha -4)) (.f64 (neg.f64 alpha) (.f64 alpha alpha))))
	7.7%	(.f64 -1/2 (/.f64 (.f64 alpha (+.f64 (.f64 2 alpha) -4)) (.f64 (neg.f64 alpha) (*.f64 alpha alpha))))

Compiler

Compiled 304 to 231 computations (24% saved)

regimes111.0ms (1%)

Counts

38 → 2

Calls

Call 1

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

34.0ms	alpha
23.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
22.0ms	beta
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Accuracy	Segments	Branch
96.2%	2	`alpha`
76.4%	1	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 698 to 458 computations (34.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999771727969	-0.9996448843682104

Compiler

Compiled 20 to 15 computations (25% saved)

regimes82.0ms (0.8%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	alpha
17.0ms	beta
15.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Accuracy	Segments	Branch
96.2%	2	`alpha`
76.4%	1	`beta`
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 382 to 252 computations (34% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999994531	-0.9999999771727969

Compiler

Compiled 20 to 15 computations (25% saved)

regimes56.0ms (0.5%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	alpha
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms	beta
6.0ms	(/.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
96.2%	2	`alpha`
75.8%	1	`beta`
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 209 to 151 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999994531	-0.9999999771727969

Compiler

Compiled 20 to 15 computations (25% saved)

regimes45.0ms (0.4%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	alpha
18.0ms	beta

Results

Accuracy	Segments	Branch
94.8%	2	`alpha`
75.4%	2	`beta`

Compiler

Compiled 113 to 87 computations (23% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.009228372073390546	5629.96835329731

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 218 to 177 computations (18.8% saved)

regimes45.0ms (0.4%)

Counts

9 → 6

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	alpha
12.0ms	beta

Results

Accuracy	Segments	Branch
78.1%	6	`alpha`
73.3%	2	`beta`

Compiler

Compiled 53 to 42 computations (20.8% saved)

bsearch82.0ms (0.8%)

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	0.009228372073390546	5629.96835329731
14.0ms	1.78788833892137e-62	5.094249445219116e-61
17.0ms	4.0152568172543723e-103	7.1818530977816e-99
18.0ms	4.0577842848485925e-291	4.010480306442448e-284
15.0ms	-4.456227345586365e-304	-6.106767774304076e-306

Results

74.0ms

640×

body

256

valid

Compiler

Compiled 628 to 582 computations (7.3% saved)

regimes44.0ms (0.4%)

Counts

8 → 6

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	alpha
11.0ms	beta

Results

Accuracy	Segments	Branch
77.7%	6	`alpha`
73.3%	2	`beta`

Compiler

Compiled 46 to 36 computations (21.7% saved)

bsearch141.0ms (1.3%)

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	0.009228372073390546	5629.96835329731
14.0ms	1.78788833892137e-62	5.094249445219116e-61
13.0ms	4.0152568172543723e-103	7.1818530977816e-99
81.0ms	4.0577842848485925e-291	4.010480306442448e-284
14.0ms	-4.456227345586365e-304	-6.106767774304076e-306

Results

66.0ms

592×

body

256

valid

Compiler

Compiled 500 to 477 computations (4.6% saved)

regimes64.0ms (0.6%)

Counts

5 → 6

Calls

Call 1

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

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

Calls

2 calls:

53.0ms	alpha
10.0ms	beta

Results

Accuracy	Segments	Branch
73.6%	6	`alpha`
72.8%	2	`beta`

Compiler

Compiled 25 to 20 computations (20% saved)

bsearch83.0ms (0.8%)

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	0.009228372073390546	5629.96835329731
14.0ms	1.78788833892137e-62	5.094249445219116e-61
17.0ms	4.0152568172543723e-103	7.1818530977816e-99
19.0ms	4.0577842848485925e-291	4.010480306442448e-284
14.0ms	-4.456227345586365e-304	-6.106767774304076e-306

Results

75.0ms

640×

body

256

valid

Compiler

Compiled 500 to 486 computations (2.8% saved)

regimes14.0ms (0.1%)

Accuracy

Total -42.2b remaining (-218.7%)

Threshold costs -42.2b (-218.7%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	alpha
3.0ms	beta

Results

Accuracy	Segments	Branch
69.8%	2	`alpha`
49.9%	1	`beta`

Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch58.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	0.009228372073390546	5629.96835329731

Results

56.0ms

144×

body

256

valid

Compiler

Compiled 128 to 114 computations (10.9% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

48×	`+-commutative`
46×	`unsub-neg`
36×	`neg-mul-1`
26×	`sub-neg`
24×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	619
1	123	619
2	148	619
3	181	619
4	211	619
5	258	619
6	262	619

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251349453722511/2251799813685248) (/.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)) -9007199074597007/9007199254740992) (*.f64 (/.f64 (+.f64 beta 1) alpha) 1) (/.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)) -9007199074597007/9007199254740992) (*.f64 (/.f64 (+.f64 beta 1) alpha) 1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 200) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (*.f64 (/.f64 (+.f64 beta 1) alpha) 1))
(if (<=.f64 alpha -4901929572286429/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha 7443573136539277/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (/.f64 2 2) (if (<=.f64 alpha 3817069350275715/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (/.f64 1 2) (if (<=.f64 alpha 5326436104916545/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.f64 2 2) (if (<=.f64 alpha 2) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (*.f64 (/.f64 (+.f64 beta 1) alpha) 1))))))
(if (<=.f64 alpha -5534436613871775/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (/.f64 1 2) (if (<=.f64 alpha 8119463621814659/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048) (/.f64 2 2) (if (<=.f64 alpha 7387876161823965/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (/.f64 1 2) (if (<=.f64 alpha 4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.f64 2 2) (if (<=.f64 alpha 7656119366529843/1125899906842624) (/.f64 1 2) (*.f64 (/.f64 (+.f64 beta 1) alpha) 1))))))
(if (<=.f64 alpha -4901929572286429/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (/.f64 1 2) (if (<=.f64 alpha 2949340299383487/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536) (/.f64 2 2) (if (<=.f64 alpha 2154797213865323/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (/.f64 1 2) (if (<=.f64 alpha 4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.f64 2 2) (if (<=.f64 alpha 2) (/.f64 1 2) (/.f64 1 alpha))))))
(if (<=.f64 alpha 2) (/.f64 1 2) (/.f64 1 alpha))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251349453722511/2251799813685248) (/.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)) -2251349453722511/2251799813685248) (/.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)) -2251349453722511/2251799813685248) (/.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)) -2251349453722511/2251799813685248) (/.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)) -9007199074597007/9007199254740992) (*.f64 (/.f64 (+.f64 beta 1) alpha) 1) (/.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)) -9007199074597007/9007199254740992) (/.f64 (+.f64 beta 1) alpha) (/.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)) -9007199074597007/9007199254740992) (/.f64 (+.f64 beta 1) alpha) (/.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)) -9007199074597007/9007199254740992) (/.f64 (+.f64 beta 1) alpha) (/.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)) -9007199074597007/9007199254740992) (*.f64 (/.f64 (+.f64 beta 1) alpha) 1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007199074597007/9007199254740992) (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 200) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (*.f64 (/.f64 (+.f64 beta 1) alpha) 1))
(if (<=.f64 alpha 200) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 alpha -4901929572286429/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha 7443573136539277/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (/.f64 2 2) (if (<=.f64 alpha 3817069350275715/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (/.f64 1 2) (if (<=.f64 alpha 5326436104916545/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.f64 2 2) (if (<=.f64 alpha 2) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (*.f64 (/.f64 (+.f64 beta 1) alpha) 1))))))
(if (<=.f64 alpha -4901929572286429/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha 7443573136539277/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) 1 (if (<=.f64 alpha 3817069350275715/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) 1/2 (if (<=.f64 alpha 5326436104916545/231584178474632390847141970017375815706539969331281128078915168015826259279872) 1 (if (<=.f64 alpha 2) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (+.f64 beta 1) alpha))))))
(if (<=.f64 alpha -5534436613871775/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (/.f64 1 2) (if (<=.f64 alpha 8119463621814659/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048) (/.f64 2 2) (if (<=.f64 alpha 7387876161823965/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (/.f64 1 2) (if (<=.f64 alpha 4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.f64 2 2) (if (<=.f64 alpha 7656119366529843/1125899906842624) (/.f64 1 2) (*.f64 (/.f64 (+.f64 beta 1) alpha) 1))))))
(if (<=.f64 alpha -5534436613871775/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) 1/2 (if (<=.f64 alpha 8119463621814659/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048) 1 (if (<=.f64 alpha 7387876161823965/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1/2 (if (<=.f64 alpha 4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872) 1 (if (<=.f64 alpha 7656119366529843/1125899906842624) 1/2 (/.f64 (+.f64 beta 1) alpha))))))
(if (<=.f64 alpha -4901929572286429/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (/.f64 1 2) (if (<=.f64 alpha 2949340299383487/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536) (/.f64 2 2) (if (<=.f64 alpha 2154797213865323/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (/.f64 1 2) (if (<=.f64 alpha 4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.f64 2 2) (if (<=.f64 alpha 2) (/.f64 1 2) (/.f64 1 alpha))))))
(if (<=.f64 alpha -4901929572286429/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) 1/2 (if (<=.f64 alpha 2949340299383487/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536) 1 (if (<=.f64 alpha 2154797213865323/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) 1/2 (if (<=.f64 alpha 4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872) 1 (if (<=.f64 alpha 2) 1/2 (/.f64 1 alpha))))))
(if (<=.f64 alpha 2) (/.f64 1 2) (/.f64 1 alpha))
(if (<=.f64 alpha 2) 1/2 (/.f64 1 alpha))
(/.f64 1 2)
1/2

Compiler

Compiled 264 to 193 computations (26.9% saved)

soundness846.0ms (7.7%)

Rules

1752×	`times-frac`
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	214	2536
1	483	2440
2	2006	2336
0	414	4894
1	1047	4632
2	3386	4582

Stop Event

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

Compiler

Compiled 391 to 291 computations (25.6% saved)

end129.0ms (1.2%)

Compiler: Compiled 248 to 173 computations (30.2% saved)