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)

sample1.2s (10.3%)

Results

772.0ms	6535×	body	256	valid
274.0ms	1002×	body	1024	valid
112.0ms	620×	body	512	valid
27.0ms	99×	body	2048	valid

Bogosity

preprocess61.0ms (0.5%)

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)

simplify71.0ms (0.6%)

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

75.1%

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	75.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize59.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	75.1%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 51 to 24 computations (52.9% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite126.0ms (1.1%)

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)))))

simplify132.0ms (1.1%)

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)))

eval216.0ms (1.9%)

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

prune86.0ms (0.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	376	14	390
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	376	15	391

Accurracy

99.9%

Counts

391 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.6%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
▶	75.0%	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
	26.2%	(/.f64 (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))))) 2)
	50.1%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
	29.0%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
▶	50.1%	(/.f64 (/.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))) 2)
▶	75.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	50.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	26.7%	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) 2)
✓	75.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	72.9%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	75.1%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	3.6%	(/.f64 (+.f64 -1 1) 2)
	75.1%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	36.0%	(/.f64 2 2)
	27.6%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
▶	75.0%	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
	26.2%	(/.f64 (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))))) 2)
	50.1%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
	29.0%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
▶	50.1%	(/.f64 (/.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))) 2)
▶	75.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	50.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	26.7%	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) 2)
✓	75.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	72.9%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	75.1%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	3.6%	(/.f64 (+.f64 -1 1) 2)
	75.1%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	36.0%	(/.f64 2 2)

Compiler

Compiled 1134 to 826 computations (27.2% saved)

localize392.0ms (3.4%)

Local Accuracy

Found 10 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
✓	99.9%	(/.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))
✓	76.1%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
✓	51.3%	(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)
✓	100.0%	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	75.0%	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
✓	68.9%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
✓	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)))
✓	75.1%	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 294 to 183 computations (37.8% saved)

series44.0ms (0.4%)

Counts

10 → 228

Calls

57 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	-inf	(/.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))
4.0ms	beta	@	-inf	(/.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))
4.0ms	beta	@	0	(/.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))
4.0ms	beta	@	inf	(/.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))
3.0ms	alpha	@	0	(/.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))

rewrite105.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`add-sqr-sqrt`
600×	`pow1`
598×	`*-un-lft-identity`
566×	`add-exp-log`
566×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	318
1	582	282

Stop Event

1×	node limit

Counts

10 → 307

Calls

Call 1

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

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

simplify356.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

876×	`+-commutative`
760×	`*-commutative`
692×	`sub-neg`
486×	`fma-def`
462×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1703	54501
1	5618	51579

Stop Event

1×	node limit

Counts

535 → 917

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

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

eval1.1s (9.1%)

Compiler: Compiled 53763 to 38646 computations (28.1% saved)

prune243.0ms (2.1%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	906	11	917
Fresh	4	5	9
Picked	2	3	5
Done	0	1	1
Total	912	20	932

Accurracy

99.9%

Counts

932 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.6%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
	29.0%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
▶	23.4%	(/.f64 (/.f64 2 alpha) 2)
	49.9%	(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) -1))) 2)
▶	83.5%	(/.f64 (/.f64 1 (+.f64 (.f64 -1 (+.f64 1/2 (.f64 -1/2 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2))))) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
	75.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2)
	29.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2)
▶	26.3%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))) 2)
✓	75.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	25.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 2)
	21.8%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
▶	15.8%	(/.f64 (-.f64 (-.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	28.3%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
✓	50.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	75.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	72.9%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	75.1%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	49.1%	(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
	75.1%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	36.0%	(/.f64 2 2)
	27.6%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
	29.0%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
▶	23.4%	(/.f64 (/.f64 2 alpha) 2)
	49.9%	(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) -1))) 2)
▶	83.5%	(/.f64 (/.f64 1 (+.f64 (.f64 -1 (+.f64 1/2 (.f64 -1/2 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2))))) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
	75.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2)
	29.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2)
▶	26.3%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))) 2)
✓	75.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	25.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 2)
	21.8%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
▶	15.8%	(/.f64 (-.f64 (-.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	28.3%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
✓	50.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	75.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	72.9%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	75.1%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	49.1%	(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
	75.1%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	36.0%	(/.f64 2 2)

Compiler

Compiled 1500 to 1112 computations (25.9% saved)

localize1.2s (9.9%)

Local Accuracy

Found 14 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (+.f64 beta 2) 2)
	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	96.5%	(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))
✓	94.9%	(/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))
✓	96.6%	(/.f64 (*.f64 alpha alpha) (+.f64 beta 2))
✓	95.7%	(-.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))
✓	89.5%	(/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))
	75.1%	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
✓	100.0%	(-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta))
✓	100.0%	(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
✓	100.0%	(+.f64 1/2 (.f64 -1/2 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2))))
✓	100.0%	(-.f64 (*.f64 -1 beta) (+.f64 beta 2))
✓	99.9%	(/.f64 1 (+.f64 (.f64 -1 (+.f64 1/2 (.f64 -1/2 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2))))) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))
✓	84.1%	(/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))

Compiler

Compiled 671 to 468 computations (30.3% saved)

series29.0ms (0.2%)

Counts

12 → 240

Calls

60 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	0	(/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))
2.0ms	beta	@	inf	(/.f64 (*.f64 alpha alpha) (+.f64 beta 2))
2.0ms	beta	@	inf	(/.f64 1 (+.f64 (.f64 -1 (+.f64 1/2 (.f64 -1/2 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2))))) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))
2.0ms	alpha	@	0	(/.f64 1 (+.f64 (.f64 -1 (+.f64 1/2 (.f64 -1/2 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2))))) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))
1.0ms	beta	@	0	(/.f64 1 (+.f64 (.f64 -1 (+.f64 1/2 (.f64 -1/2 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) 2))))) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`add-sqr-sqrt`
952×	`pow1`
904×	`add-exp-log`
904×	`add-log-exp`
904×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	548
1	941	548

Stop Event

1×	node limit

Counts

12 → 132

Calls

Call 1

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

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

simplify210.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

996×	`fma-neg`
852×	`associate-r`
816×	`associate-l`
768×	`fma-def`
484×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	595	19346
1	1696	15428
2	7770	15404

Stop Event

1×	node limit

Counts

372 → 404

Calls

Call 1

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

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

eval595.0ms (5.1%)

Compiler: Compiled 26847 to 18789 computations (30% saved)

prune202.0ms (1.7%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	624	6	630
Fresh	6	5	11
Picked	4	1	5
Done	1	3	4
Total	635	15	650

Accurracy

100.0%

Counts

650 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.0%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
✓	23.4%	(/.f64 (/.f64 2 alpha) 2)
	44.1%	(/.f64 (/.f64 1 (+.f64 (.f64 -1 (-.f64 -1/2 (/.f64 1/2 beta))) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
	62.0%	(/.f64 (/.f64 1 (+.f64 (.f64 -1 -1/2) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
▶	70.2%	(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2)
▶	29.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
	25.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 2)
	28.5%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	32.0%	(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
✓	50.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	75.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	72.9%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	75.1%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
▶	49.1%	(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
✓	36.0%	(/.f64 2 2)
	29.0%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
✓	23.4%	(/.f64 (/.f64 2 alpha) 2)
	44.1%	(/.f64 (/.f64 1 (+.f64 (.f64 -1 (-.f64 -1/2 (/.f64 1/2 beta))) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
	62.0%	(/.f64 (/.f64 1 (+.f64 (.f64 -1 -1/2) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
▶	70.2%	(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2)
▶	29.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
	25.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 2)
	28.5%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	32.0%	(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
✓	50.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	75.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	72.9%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	75.1%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
▶	49.1%	(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
✓	36.0%	(/.f64 2 2)

Compiler

Compiled 792 to 634 computations (19.9% saved)

localize607.0ms (5.2%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 -2 beta) alpha)
✓	100.0%	(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha))
	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	100.0%	(/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))
✓	100.0%	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
✓	100.0%	(/.f64 beta (+.f64 beta 2))
	100.0%	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	99.9%	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
✓	75.1%	(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)

Compiler

Compiled 193 to 131 computations (32.1% saved)

series7.0ms (0.1%)

Counts

7 → 132

Calls

33 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`add-sqr-sqrt`
612×	`pow1`
612×	`*-un-lft-identity`
588×	`add-exp-log`
588×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	157
1	593	153

Stop Event

1×	node limit

Counts

7 → 220

Calls

Call 1

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

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

simplify175.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1072×	`fma-def`
610×	`times-frac`
594×	`associate-r`
506×	`associate-+l+`
506×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	848	16808
1	2505	15190

Stop Event

1×	node limit

Counts

352 → 566

Calls

Call 1

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

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

eval324.0ms (2.8%)

Compiler: Compiled 17690 to 12550 computations (29.1% saved)

prune182.0ms (1.6%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	706	5	711
Fresh	1	5	6
Picked	1	4	5
Done	0	4	4
Total	708	18	726

Accurracy

100.0%

Counts

726 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.0%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	23.8%	(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
	4.9%	(/.f64 (/.f64 beta alpha) 2)
✓	23.4%	(/.f64 (/.f64 2 alpha) 2)
	44.1%	(/.f64 (/.f64 1 (+.f64 (.f64 -1 (-.f64 -1/2 (/.f64 1/2 beta))) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
	62.0%	(/.f64 (/.f64 1 (+.f64 (.f64 -1 -1/2) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
✓	70.2%	(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2)
	29.0%	(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2)
	28.5%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	32.0%	(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
✓	50.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	28.2%	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (.f64 (/.f64 beta alpha) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (-.f64 (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)))) 2)
✓	75.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	72.9%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	75.1%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	47.5%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
✓	49.1%	(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
✓	36.0%	(/.f64 2 2)

Compiler

Compiled 924 to 666 computations (27.9% saved)

regimes115.0ms (1%)

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

33.0ms	beta
32.0ms	alpha
20.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
99.8%	2	`alpha`
99.9%	2	`beta`
100.0%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
100.0%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
100.0%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 723 to 502 computations (30.6% saved)

regimes109.0ms (0.9%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

4 calls:

64.0ms	beta
18.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Accuracy	Segments	Branch
98.4%	2	`beta`
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 545 to 374 computations (31.4% saved)

regimes64.0ms (0.5%)

Counts

22 → 2

Calls

Call 1

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

4 calls:

29.0ms	alpha
13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
94.3%	2	`alpha`
99.7%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.7%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.7%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 259 to 187 computations (27.8% saved)

regimes50.0ms (0.4%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
12.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
5.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

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

Compiler

Compiled 237 to 172 computations (27.4% saved)

regimes62.0ms (0.5%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	alpha
16.0ms	beta

Results

Accuracy	Segments	Branch
93.1%	2	`alpha`
92.2%	2	`beta`

Compiler

Compiled 132 to 101 computations (23.5% saved)

regimes44.0ms (0.4%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	alpha
19.0ms	beta

Results

Accuracy	Segments	Branch
92.2%	2	`beta`
88.1%	2	`alpha`

Compiler

Compiled 90 to 73 computations (18.9% saved)

regimes43.0ms (0.4%)

Counts

11 → 2

Calls

Call 1

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

Calls

2 calls:

21.0ms	alpha
19.0ms	beta

Results

Accuracy	Segments	Branch
88.1%	2	`alpha`
75.0%	3	`beta`

Compiler

Compiled 81 to 65 computations (19.8% saved)

regimes67.0ms (0.6%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

2 calls:

54.0ms	beta
10.0ms	alpha

Results

Accuracy	Segments	Branch
74.0%	4	`beta`
70.4%	2	`alpha`

Compiler

Compiled 54 to 44 computations (18.5% saved)

regimes19.0ms (0.2%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

beta

Results

Accuracy	Segments	Branch
73.9%	4	`beta`

Compiler

Compiled 37 to 31 computations (16.2% saved)

regimes25.0ms (0.2%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	beta
8.0ms	alpha

Results

Accuracy	Segments	Branch
69.7%	2	`alpha`
73.2%	4	`beta`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes19.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	alpha
7.0ms	beta

Results

Accuracy	Segments	Branch
50.5%	2	`alpha`
48.2%	2	`beta`

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes8.0ms (0.1%)

Accuracy

Total -20.9b remaining (-51.1%)

Threshold costs -20.9b (-51.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 2 2)

Calls

2 calls:

4.0ms	beta
3.0ms	alpha

Results

Accuracy	Segments	Branch
36.0%	1	`beta`
36.0%	1	`alpha`

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999944805685135	-0.9988875564970725

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9988875564970725	-0.030630203641618132

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999831	-0.9999998017757484

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999831	-0.9999998017757484

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8507409732707.584	118749397292896.19

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 164 to 129 computations (21.3% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.700178520189832e-33	9.339287448648095e-29

Results

9.0ms	96×	body	256	valid
3.0ms	17×	body	1024	valid
2.0ms	15×	body	512	valid

Compiler

Compiled 212 to 183 computations (13.7% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8507409732707.584	118749397292896.19

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 152 to 123 computations (19.1% saved)

bsearch56.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	1.1111418499756301e-7	75.15094236273681
11.0ms	4.0003243536744556e-137	8.596290726360895e-137
24.0ms	2.865609324510355e-167	8.632826028339787e-151

Results

29.0ms	277×	body	256	valid
12.0ms	60×	body	1024	valid
10.0ms	45×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 470 to 417 computations (11.3% saved)

bsearch426.0ms (3.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
100.0ms	1.1111418499756301e-7	75.15094236273681
303.0ms	4.0003243536744556e-137	8.596290726360895e-137
23.0ms	2.865609324510355e-167	8.632826028339787e-151

Results

322.0ms	282×	body	256	valid
85.0ms	33×	body	512	valid
13.0ms	68×	body	1024	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 434 to 390 computations (10.1% saved)

bsearch104.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	1.1111418499756301e-7	75.15094236273681
20.0ms	4.0003243536744556e-137	8.596290726360895e-137
64.0ms	2.865609324510355e-167	8.632826028339787e-151

Results

53.0ms	49×	body	1024	valid
31.0ms	301×	body	256	valid
5.0ms	33×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 434 to 390 computations (10.1% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8507409732707.584	118749397292896.19

Results

11.0ms

96×

body

256

valid

Compiler

Compiled 104 to 93 computations (10.6% saved)

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

250×	`unsub-neg`
136×	`neg-mul-1`
120×	`+-commutative`
84×	`sub-neg`
82×	`distribute-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	117	978
1	160	974
2	194	974
3	242	974
4	275	974
5	323	974
6	378	974
7	492	974
8	631	974
9	682	974
10	724	974
11	737	974
12	739	974

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (.f64 (/.f64 beta alpha) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (-.f64 (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)))) 2) (/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (/.f64 1 (+.f64 (.f64 -1 -1/2) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007198354021067/9007199254740992) (/.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)) -9007198354021067/9007199254740992) (/.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 8600000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 beta 8206674233059269/89202980794122492566142873090593446023921664) (/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(if (<=.f64 alpha 9500000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta 2948408144391829/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta 530289278479175/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 6265367306832637/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta 530289278479175/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta 6265367306832637/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 (+.f64 1 (.f64 alpha -1/2)) 2) (if (<=.f64 beta 530289278479175/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1) (/.f64 (+.f64 1 (.f64 alpha -1/2)) 2) (/.f64 2 2))))
(if (<=.f64 alpha 8600000000000) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (.f64 (/.f64 beta alpha) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (-.f64 (.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)))) 2) (/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (+.f64 (.f64 (/.f64 beta alpha) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (-.f64 (.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)))) 2) (/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (+.f64 (.f64 (/.f64 beta alpha) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (+.f64 (.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha)))) 2) (/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (+.f64 (.f64 (/.f64 beta alpha) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (+.f64 (.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)))) 2) (/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (/.f64 1 (+.f64 (.f64 -1 -1/2) (.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (/.f64 1 (+.f64 1/2 (neg.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (/.f64 1 (-.f64 1/2 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007198354021067/9007199254740992) (/.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)) -9007198354021067/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007198354021067/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007198354021067/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007198354021067/9007199254740992) (/.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)) -9007198354021067/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 8600000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 8600000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 beta 8206674233059269/89202980794122492566142873090593446023921664) (/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(if (<=.f64 beta 8206674233059269/89202980794122492566142873090593446023921664) (/.f64 (/.f64 1 (+.f64 1 (*.f64 alpha 1/2))) 2) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(if (<=.f64 alpha 9500000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 alpha 9500000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta 2948408144391829/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta 530289278479175/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 2948408144391829/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta 530289278479175/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 6265367306832637/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta 530289278479175/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta 6265367306832637/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta 530289278479175/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) 1)))
(if (<=.f64 beta 6265367306832637/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 (+.f64 1 (.f64 alpha -1/2)) 2) (if (<=.f64 beta 530289278479175/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1) (/.f64 (+.f64 1 (.f64 alpha -1/2)) 2) (/.f64 2 2))))
(if (<=.f64 beta 6265367306832637/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 (+.f64 1 (.f64 alpha -1/2)) 2) (if (<=.f64 beta 530289278479175/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1) (/.f64 (+.f64 1 (.f64 alpha -1/2)) 2) 1)))
(if (<=.f64 alpha 8600000000000) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 8600000000000) 1 (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)
1

Compiler

Compiled 384 to 286 computations (25.5% saved)

soundness2.3s (19.3%)

Rules

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

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	11	56
1	259	56
2	3902	56
0	848	16808
1	2505	15190
0	11	56
1	259	56
2	3902	56
0	510	10982
1	1409	10596
2	4973	10328
0	1703	54501
1	5618	51579
0	848	16808
1	2505	15190
0	11	56
1	259	56
2	3902	56
0	1703	54501
1	5618	51579
0	1703	54501
1	5618	51579
0	595	19346
1	1696	15428
2	7770	15404
0	11	56
1	259	56
2	3902	56
0	510	10982
1	1409	10596
2	4973	10328

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
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 1206 to 822 computations (31.8% saved)

end0.0ms (0%)

preprocess269.0ms (2.3%)

Compiler: Compiled 754 to 538 computations (28.6% saved)

Iter	Nodes	Cost
0	117	978
1	160	974
2	194	974
3	242	974
4	275	974
5	323	974
6	378	974
7	492	974
8	631	974
9	682	974
10	724	974
11	737	974
12	739	974

Iter	Nodes	Cost
0	117	978
1	160	974
2	194	974
3	242	974
4	275	974
5	323	974
6	378	974
7	492	974
8	631	974
9	682	974
10	724	974
11	737	974
12	739	974

analyze0.0ms (0%)

sample1.2s (10.3%)

preprocess61.0ms (0.5%)

simplify71.0ms (0.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize59.0ms (0.5%)

series8.0ms (0.1%)

rewrite126.0ms (1.1%)

simplify132.0ms (1.1%)

eval216.0ms (1.9%)

prune86.0ms (0.7%)

localize392.0ms (3.4%)

series44.0ms (0.4%)

rewrite105.0ms (0.9%)

simplify356.0ms (3.1%)

eval1.1s (9.1%)

prune243.0ms (2.1%)

localize1.2s (9.9%)

series29.0ms (0.2%)

rewrite102.0ms (0.9%)

simplify210.0ms (1.8%)

eval595.0ms (5.1%)

prune202.0ms (1.7%)

localize607.0ms (5.2%)

series7.0ms (0.1%)

rewrite81.0ms (0.7%)

simplify175.0ms (1.5%)

eval324.0ms (2.8%)

prune182.0ms (1.6%)

regimes115.0ms (1%)

regimes109.0ms (0.9%)

regimes64.0ms (0.5%)

regimes50.0ms (0.4%)

regimes62.0ms (0.5%)

regimes44.0ms (0.4%)

regimes43.0ms (0.4%)

regimes67.0ms (0.6%)

regimes19.0ms (0.2%)

regimes25.0ms (0.2%)

regimes19.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch12.0ms (0.1%)

bsearch56.0ms (0.5%)

bsearch426.0ms (3.7%)

bsearch104.0ms (0.9%)

bsearch12.0ms (0.1%)

simplify48.0ms (0.4%)

soundness2.3s (19.3%)

end0.0ms (0%)

preprocess269.0ms (2.3%)

Profiling

Iter	Nodes	Cost
0	117	978
1	160	974
2	194	974
3	242	974
4	275	974
5	323	974
6	378	974
7	492	974
8	631	974
9	682	974
10	724	974
11	737	974
12	739	974