Metrics for Octave 3.8, jcobi/1

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
100%	56.2%	0%	43.8%	0%	0%	0%	1

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.1s (11.8%)

Results

737.0ms	6448×	body	256	valid
248.0ms	1080×	body	1024	valid
102.0ms	638×	body	512	valid
25.0ms	90×	body	2048	valid

Bogosity

preprocess90.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1532×	`fma-neg`
1190×	`div-sub`
1020×	`sub-neg`
840×	`distribute-rgt-in`
668×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	156
1	77	152
2	172	152
3	465	148
4	1355	148
5	3852	148

Stop Event

1×	node limit

Calls

Call 1

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify73.0ms (0.8%)

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)

prune2.0ms (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

72.0%

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	72.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize54.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	72.0%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 51 to 24 computations (52.9% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	alpha	@	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
2.0ms	beta	@	inf	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
1.0ms	alpha	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	alpha	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

rewrite89.0ms (0.9%)

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)))))

simplify207.0ms (2.2%)

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)
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(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)))))

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

eval202.0ms (2.1%)

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

prune80.0ms (0.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	379	11	390
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	379	12	391

Accurracy

100.0%

Counts

391 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.5%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
▶	32.0%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
▶	72.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	48.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	30.6%	(/.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)
	28.6%	(/.f64 (+.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))))))) 2)
✓	72.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	69.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	28.7%	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	3.9%	(/.f64 (+.f64 -1 1) 2)
	72.1%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	35.9%	(/.f64 2 2)
▶	30.5%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
▶	32.0%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
▶	72.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	48.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	30.6%	(/.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)
	28.6%	(/.f64 (+.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))))))) 2)
✓	72.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	69.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	28.7%	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	3.9%	(/.f64 (+.f64 -1 1) 2)
	72.1%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	35.9%	(/.f64 2 2)

Compiler

Compiled 918 to 686 computations (25.3% saved)

localize277.0ms (2.9%)

Local Accuracy

Found 12 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (-.f64 -2 beta) beta)
✓	100.0%	(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
✓	100.0%	(/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)
✓	93.9%	(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
✓	100.0%	(+.f64 beta (+.f64 2 beta))
✓	100.0%	(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
✓	100.0%	(/.f64 beta (+.f64 beta 2))
✓	100.0%	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
✓	100.0%	(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
✓	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	100.0%	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	72.1%	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 213 to 136 computations (36.2% saved)

series19.0ms (0.2%)

Counts

12 → 240

Calls

60 calls:

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

rewrite129.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`add-sqr-sqrt`
638×	`pow1`
638×	`*-un-lft-identity`
608×	`add-exp-log`
608×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	284
1	629	266

Stop Event

1×	node limit

Counts

12 → 325

Calls

Call 1

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

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

simplify218.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1304×	`fma-def`
574×	`times-frac`
572×	`distribute-rgt-in`
542×	`distribute-lft-in`
534×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	991	22195
1	2801	19221

Stop Event

1×	node limit

Counts

565 → 681

Calls

Call 1

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

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

eval403.0ms (4.2%)

Compiler: Compiled 21305 to 14839 computations (30.3% saved)

prune172.0ms (1.8%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	756	9	765
Fresh	5	1	6
Picked	1	4	5
Done	0	1	1
Total	762	15	777

Accurracy

100.0%

Counts

777 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	32.0%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	8.9%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
▶	27.3%	(/.f64 (/.f64 2 alpha) 2)
▶	72.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	72.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	30.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
▶	25.6%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	72.1%	(/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	28.7%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
▶	29.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	48.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	72.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	69.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	43.4%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
✓	35.9%	(/.f64 2 2)
✓	32.0%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	8.9%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
▶	27.3%	(/.f64 (/.f64 2 alpha) 2)
▶	72.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	72.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	30.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
▶	25.6%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	72.1%	(/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	28.7%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
▶	29.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	48.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	72.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	69.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	43.4%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
✓	35.9%	(/.f64 2 2)

Compiler

Compiled 774 to 588 computations (24% saved)

localize343.0ms (3.6%)

Local Accuracy

Found 11 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
✓	100.0%	(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
✓	99.3%	(/.f64 4 (*.f64 alpha alpha))
✓	100.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	100.0%	(/.f64 alpha (+.f64 alpha 2))
✓	69.2%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
✓	100.0%	(/.f64 (/.f64 2 alpha) 2)
	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
	100.0%	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	99.9%	(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
✓	72.1%	(-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)

Compiler

Compiled 227 to 153 computations (32.6% saved)

series11.0ms (0.1%)

Counts

9 → 132

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	beta	@	inf	(-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)
1.0ms	beta	@	0	(-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)
1.0ms	alpha	@	inf	(-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)
0.0ms	alpha	@	0	(/.f64 4 (*.f64 alpha alpha))
0.0ms	alpha	@	-inf	(-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)

rewrite143.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`expm1-udef`
536×	`add-sqr-sqrt`
522×	`pow1`
520×	`*-un-lft-identity`
504×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	195
1	519	177
2	7984	177

Stop Event

1×	node limit

Counts

9 → 304

Calls

Call 1

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

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

simplify142.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1094×	`fma-def`
916×	`associate-r`
766×	`associate-l`
764×	`times-frac`
350×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	818	15180
1	2259	13986

Stop Event

1×	node limit

Counts

436 → 594

Calls

Call 1

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

Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))) -1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) -1))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) 1)
(+.f64 (+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4)) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))) -1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (.f64 3 (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) -1))
(*.f64 -2 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -2 (/.f64 (+.f64 2 beta) alpha))
(/.f64 (*.f64 (+.f64 2 beta) -2) alpha)
(+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (+.f64 (.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))))
(.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(/.f64 (neg.f64 (fma.f64 2 beta 4)) alpha)
(+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (neg.f64 (fma.f64 2 beta 4)) alpha))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (neg.f64 (fma.f64 2 beta 4)) alpha)))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (+.f64 (fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (neg.f64 (fma.f64 2 beta 4)) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))))
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) -1)
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)))) 1)
(+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha)))) 1))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (fma.f64 -2 (/.f64 (.f64 (.f64 beta alpha) alpha) (pow.f64 (+.f64 alpha 2) 3)) -1))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 -2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) 1)
(+.f64 (+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (.f64 alpha alpha))) (.f64 (.f64 beta beta) (.f64 3 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)))))) -1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 (.f64 beta alpha) alpha) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (.f64 beta (.f64 beta (.f64 3 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))))) -1))
(-.f64 (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 5))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 -2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) 1)
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 5) (.f64 alpha alpha))) (+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (.f64 alpha alpha))) (.f64 (.f64 beta beta) (.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))))))) -1)
(+.f64 (+.f64 (fma.f64 -4 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 5) (.f64 alpha alpha))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (fma.f64 (.f64 beta beta) (.f64 3 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (.f64 -2 (.f64 (*.f64 beta alpha) alpha)) (pow.f64 (+.f64 alpha 2) 3)))) -1)
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1)
(+.f64 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) -1)
(+.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 (.f64 alpha alpha) (+.f64 alpha 2)) (pow.f64 beta 3)) (/.f64 (.f64 alpha alpha) (.f64 beta beta))) -1)
(+.f64 (.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (fma.f64 -2 (/.f64 (.f64 alpha (*.f64 alpha (+.f64 alpha 2))) (pow.f64 beta 3)) -1))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))))) 1)
(+.f64 (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha))) (+.f64 (fma.f64 -2 (/.f64 (.f64 (.f64 alpha alpha) (+.f64 alpha 2)) (pow.f64 beta 3)) (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha))))) -1)
(+.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha)))) (fma.f64 -2 (/.f64 (.f64 alpha (.f64 alpha (+.f64 alpha 2))) (pow.f64 beta 3)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))) -1)
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1)
(+.f64 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) -1)
(+.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 (.f64 alpha alpha) (+.f64 alpha 2)) (pow.f64 beta 3)) (/.f64 (.f64 alpha alpha) (.f64 beta beta))) -1)
(+.f64 (.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (fma.f64 -2 (/.f64 (.f64 alpha (*.f64 alpha (+.f64 alpha 2))) (pow.f64 beta 3)) -1))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))))) 1)
(+.f64 (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha))) (+.f64 (fma.f64 -2 (/.f64 (.f64 (.f64 alpha alpha) (+.f64 alpha 2)) (pow.f64 beta 3)) (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha))))) -1)
(+.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha)))) (fma.f64 -2 (/.f64 (.f64 alpha (.f64 alpha (+.f64 alpha 2))) (pow.f64 beta 3)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))) -1)
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
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1
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1
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1
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1
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1
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1/2
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(+.f64 (pow.f64 (/.f64 1 (sqrt.f64 alpha)) 2) (/.f64 (neg.f64 (/.f64 2 alpha)) alpha))
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eval419.0ms (4.4%)

Compiler: Compiled 24063 to 17457 computations (27.5% saved)

prune164.0ms (1.7%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	807	6	813
Fresh	0	5	5
Picked	3	2	5
Done	0	5	5
Total	810	18	828

Accurracy

100.0%

Counts

828 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	32.0%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
▶	8.9%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
▶	72.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	72.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	30.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
	72.1%	(/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	28.7%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
✓	29.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	48.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	72.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	69.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	43.4%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
▶	25.6%	(/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha)
✓	35.9%	(/.f64 2 2)
▶	27.3%	(/.f64 1 alpha)
	25.6%	(-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha)))
	45.9%	(+.f64 1/2 (*.f64 alpha -1/4))
	46.7%	1/2
✓	32.0%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
▶	8.9%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
▶	72.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	72.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	30.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
	72.1%	(/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	28.7%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
✓	29.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	48.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	72.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	69.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	43.4%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
▶	25.6%	(/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha)
✓	35.9%	(/.f64 2 2)
▶	27.3%	(/.f64 1 alpha)
	25.6%	(-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha)))
	45.9%	(+.f64 1/2 (*.f64 alpha -1/4))
	46.7%	1/2

Compiler

Compiled 812 to 608 computations (25.1% saved)

localize324.0ms (3.4%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
✓	100.0%	(+.f64 1 (/.f64 -2 alpha))
✓	99.8%	(/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha)
	100.0%	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	100.0%	(/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)
✓	99.8%	(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha))
✓	72.1%	(-.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)) 1)

Compiler

Compiled 270 to 163 computations (39.6% saved)

series12.0ms (0.1%)

Counts

6 → 120

Calls

30 calls:

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

rewrite128.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`expm1-udef`
780×	`log1p-udef`
482×	`add-sqr-sqrt`
468×	`pow1`
468×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	162
1	464	122
2	7357	122

Stop Event

1×	node limit

Counts

6 → 218

Calls

Call 1

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

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

simplify154.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

758×	`associate-r`
662×	`distribute-rgt-in`
658×	`associate-l`
646×	`fma-def`
638×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	705	14354
1	1990	12968

Stop Event

1×	node limit

Counts

338 → 432

Calls

Call 1

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

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

eval446.0ms (4.7%)

Compiler: Compiled 20628 to 14888 computations (27.8% saved)

prune106.0ms (1.1%)

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	504	1	505
Fresh	0	6	6
Picked	1	4	5
Done	0	7	7
Total	505	18	523

Accurracy

100.0%

Counts

523 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	32.0%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
✓	8.9%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
✓	72.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	72.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	30.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
	72.1%	(/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
✓	29.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	31.6%	(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
✓	48.6%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	72.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	69.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	43.4%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
✓	25.6%	(/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha)
✓	35.9%	(/.f64 2 2)
✓	27.3%	(/.f64 1 alpha)
	25.6%	(-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha)))
	45.9%	(+.f64 1/2 (*.f64 alpha -1/4))
	46.7%	1/2

Compiler

Compiled 676 to 490 computations (27.5% saved)

regimes170.0ms (1.8%)

Counts

29 → 2

Calls

Call 1

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

Calls

5 calls:

82.0ms	beta
41.0ms	alpha
16.0ms	(/.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
97.2%	2	`alpha`
77.1%	5	`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 477 to 336 computations (29.6% saved)

regimes32.0ms (0.3%)

Counts

25 → 2

Calls

Call 1

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

Calls

3 calls:

13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(+.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
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 321 to 229 computations (28.7% saved)

regimes36.0ms (0.4%)

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

17.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 253 to 183 computations (27.7% saved)

regimes28.0ms (0.3%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
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
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 216 to 158 computations (26.9% saved)

regimes27.0ms (0.3%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 197 to 145 computations (26.4% saved)

regimes30.0ms (0.3%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

25.0ms

alpha

Results

Accuracy	Segments	Branch
95.1%	2	`alpha`

Compiler

Compiled 135 to 103 computations (23.7% saved)

regimes25.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

alpha

Results

Accuracy	Segments	Branch
90.2%	2	`alpha`

Compiler

Compiled 91 to 71 computations (22% saved)

regimes57.0ms (0.6%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	alpha
19.0ms	beta

Results

Accuracy	Segments	Branch
71.3%	3	`beta`
74.3%	5	`alpha`

Compiler

Compiled 67 to 52 computations (22.4% saved)

regimes44.0ms (0.5%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	alpha
14.0ms	beta

Results

Accuracy	Segments	Branch
74.2%	5	`alpha`
71.1%	3	`beta`

Compiler

Compiled 44 to 36 computations (18.2% saved)

regimes39.0ms (0.4%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	alpha
13.0ms	beta

Results

Accuracy	Segments	Branch
70.9%	3	`beta`
74.1%	5	`alpha`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes29.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	alpha
10.0ms	beta

Results

Accuracy	Segments	Branch
70.7%	3	`beta`
73.8%	5	`alpha`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes15.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
1/2
(/.f64 1 alpha)

Outputs
1/2
(/.f64 1 alpha)

Calls

2 calls:

9.0ms	beta
5.0ms	alpha

Results

Accuracy	Segments	Branch
69.6%	2	`alpha`
49.5%	3	`beta`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1/2

Outputs
1/2

Calls

1 calls:

3.0ms

alpha

Results

Accuracy	Segments	Branch
46.7%	1	`alpha`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999693092	-0.9999902435922191

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999693092	-0.9999902435922191

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999693092	-0.9999902435922191

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999693092	-0.9999902435922191

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999693092	-0.9999902435922191

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	14900775.991710454	65166237963.90465

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 212 to 167 computations (21.2% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	14900775.991710454	65166237963.90465

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 212 to 167 computations (21.2% saved)

bsearch56.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.938850425363225e-9	0.0014937704258169472
36.0ms	7.637830910524522e-130	1.1918316832041212e-124

Results

36.0ms	208×	body	256	valid
12.0ms	55×	body	1024	valid
3.0ms	19×	body	512	valid
1.0ms	6×	body	2048	valid

Compiler

Compiled 308 to 267 computations (13.3% saved)

bsearch60.0ms (0.6%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	14900775.991710454	65166237963.90465
15.0ms	1.988827925541889e-33	2.774601968633952e-30
15.0ms	-2.3592443352297777e-132	-2.7981540403475787e-135
15.0ms	-2.3250650967019293e-121	-7.682394631416984e-124

Results

52.0ms

512×

body

256

valid

Compiler

Compiled 420 to 391 computations (6.9% saved)

bsearch62.0ms (0.6%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	14900775.991710454	65166237963.90465
15.0ms	1.988827925541889e-33	2.774601968633952e-30
16.0ms	-2.3592443352297777e-132	-2.7981540403475787e-135
15.0ms	-2.3250650967019293e-121	-7.682394631416984e-124

Results

55.0ms

512×

body

256

valid

Compiler

Compiled 388 to 367 computations (5.4% saved)

bsearch67.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.938850425363225e-9	0.0014937704258169472
46.0ms	7.637830910524522e-130	1.1918316832041212e-124

Results

36.0ms	45×	body	1024	valid
23.0ms	217×	body	256	valid
2.0ms	17×	body	512	valid
2.0ms	9×	body	2048	valid

Compiler

Compiled 218 to 195 computations (10.6% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	14900775.991710454	65166237963.90465

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 100 to 87 computations (13% saved)

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

76×	`unsub-neg`
76×	`+-commutative`
60×	`neg-mul-1`
44×	`sub-neg`
40×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	1095
1	152	1095
2	185	1095
3	233	1095
4	282	1095
5	360	1095
6	377	1095
7	386	1095
8	388	1095

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.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 (log.f64 (exp.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)) -4503577109372359/4503599627370496) (/.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 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 50000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 122000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha))))
(if (<=.f64 beta 5620824110981553/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (if (<=.f64 beta 3366530793451993/2305843009213693952) (/.f64 1 alpha) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)))
(if (<=.f64 alpha -4644325006955097/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (+.f64 1/2 (*.f64 alpha -1/4)) (if (<=.f64 alpha -1198751443321341/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (/.f64 2 2) (if (<=.f64 alpha 1598517415830675/1427247692705959881058285969449495136382746624) 1/2 (if (<=.f64 alpha 15000000) (/.f64 2 2) (/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha)))))
(if (<=.f64 alpha -4644325006955097/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (+.f64 1/2 (*.f64 alpha -1/4)) (if (<=.f64 alpha -1878043927870101/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (/.f64 2 2) (if (<=.f64 alpha 7849862309882779/2854495385411919762116571938898990272765493248) 1/2 (if (<=.f64 alpha 52000000) (/.f64 2 2) (/.f64 1 alpha)))))
(if (<=.f64 beta 2619875644949029/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) 1/2 (if (<=.f64 beta 2508757194024499/147573952589676412928) (/.f64 1 alpha) (/.f64 2 2)))
(if (<=.f64 alpha 15000000) 1/2 (/.f64 1 alpha))
1/2

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.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 (log.f64 (exp.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)) -4503577109372359/4503599627370496) (/.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 (log.f64 (exp.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)) -4503577109372359/4503599627370496) (/.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 (log.f64 (exp.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)) -4503577109372359/4503599627370496) (/.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 (log.f64 (exp.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)) -4503577109372359/4503599627370496) (/.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 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.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 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.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 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) -1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) -1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 50000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 50000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 122000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha))))
(if (<=.f64 alpha 122000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha))))
(if (<=.f64 beta 5620824110981553/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (if (<=.f64 beta 3366530793451993/2305843009213693952) (/.f64 1 alpha) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)))
(if (<=.f64 beta 5620824110981553/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 3366530793451993/2305843009213693952) (/.f64 1 alpha) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)))
(if (<=.f64 alpha -4644325006955097/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (+.f64 1/2 (*.f64 alpha -1/4)) (if (<=.f64 alpha -1198751443321341/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (/.f64 2 2) (if (<=.f64 alpha 1598517415830675/1427247692705959881058285969449495136382746624) 1/2 (if (<=.f64 alpha 15000000) (/.f64 2 2) (/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha)))))
(if (<=.f64 alpha -4644325006955097/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (+.f64 1/2 (*.f64 alpha -1/4)) (if (<=.f64 alpha -1198751443321341/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) 1 (if (<=.f64 alpha 1598517415830675/1427247692705959881058285969449495136382746624) 1/2 (if (<=.f64 alpha 15000000) 1 (/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha)))))
(if (<=.f64 alpha -4644325006955097/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (+.f64 1/2 (*.f64 alpha -1/4)) (if (<=.f64 alpha -1878043927870101/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (/.f64 2 2) (if (<=.f64 alpha 7849862309882779/2854495385411919762116571938898990272765493248) 1/2 (if (<=.f64 alpha 52000000) (/.f64 2 2) (/.f64 1 alpha)))))
(if (<=.f64 alpha -4644325006955097/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (+.f64 1/2 (*.f64 alpha -1/4)) (if (<=.f64 alpha -1878043927870101/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) 1 (if (<=.f64 alpha 7849862309882779/2854495385411919762116571938898990272765493248) 1/2 (if (<=.f64 alpha 52000000) 1 (/.f64 1 alpha)))))
(if (<=.f64 beta 2619875644949029/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) 1/2 (if (<=.f64 beta 2508757194024499/147573952589676412928) (/.f64 1 alpha) (/.f64 2 2)))
(if (<=.f64 beta 2619875644949029/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) 1/2 (if (<=.f64 beta 2508757194024499/147573952589676412928) (/.f64 1 alpha) 1))
(if (<=.f64 alpha 15000000) 1/2 (/.f64 1 alpha))
1/2

Compiler

Compiled 433 to 311 computations (28.2% saved)

soundness2.9s (30.1%)

Rules

1380×	`fma-neg`
1380×	`fma-neg`
1380×	`fma-neg`
1304×	`fma-def`
1304×	`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	25	284
1	629	266
0	510	10982
1	1409	10596
2	4973	10328
0	510	10982
1	1409	10596
2	4973	10328
0	818	15180
1	2259	13986
0	991	22195
1	2801	19221
0	21	195
1	519	177
2	7984	177
0	818	15180
1	2259	13986
0	991	22195
1	2801	19221
0	991	22195
1	2801	19221
0	818	15180
1	2259	13986
0	25	284
1	629	266
0	21	195
1	519	177
2	7984	177

Stop Event

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

Compiler

Compiled 1180 to 876 computations (25.8% saved)

end0.0ms (0%)

preprocess234.0ms (2.5%)

Compiler: Compiled 848 to 580 computations (31.6% saved)

analyze0.0ms (0%)

sample1.1s (11.8%)

preprocess90.0ms (0.9%)

simplify73.0ms (0.8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize54.0ms (0.6%)

series11.0ms (0.1%)

rewrite89.0ms (0.9%)

simplify207.0ms (2.2%)

eval202.0ms (2.1%)

prune80.0ms (0.8%)

localize277.0ms (2.9%)

series19.0ms (0.2%)

rewrite129.0ms (1.4%)

simplify218.0ms (2.3%)

eval403.0ms (4.2%)

prune172.0ms (1.8%)

localize343.0ms (3.6%)

series11.0ms (0.1%)

rewrite143.0ms (1.5%)

simplify142.0ms (1.5%)

eval419.0ms (4.4%)

prune164.0ms (1.7%)

localize324.0ms (3.4%)

series12.0ms (0.1%)

rewrite128.0ms (1.3%)

simplify154.0ms (1.6%)

eval446.0ms (4.7%)

prune106.0ms (1.1%)

regimes170.0ms (1.8%)

regimes32.0ms (0.3%)

regimes36.0ms (0.4%)

regimes28.0ms (0.3%)

regimes27.0ms (0.3%)

regimes30.0ms (0.3%)

regimes25.0ms (0.3%)

regimes57.0ms (0.6%)

regimes44.0ms (0.5%)

regimes39.0ms (0.4%)

regimes29.0ms (0.3%)

regimes15.0ms (0.2%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch56.0ms (0.6%)

bsearch60.0ms (0.6%)

bsearch62.0ms (0.6%)

bsearch67.0ms (0.7%)

bsearch18.0ms (0.2%)

simplify38.0ms (0.4%)

soundness2.9s (30.1%)

end0.0ms (0%)

preprocess234.0ms (2.5%)

Profiling