Details

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)

sample1.7s (15.8%)

Results

1.3s	6506×	body	256	valid
249.0ms	1010×	body	1024	valid
159.0ms	639×	body	512	valid
28.0ms	101×	body	2048	valid

Bogosity

preprocess83.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	41	74
2	66	74
3	112	74
4	206	74
5	416	66
6	874	66
7	2078	66
8	5730	66
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

75.7%

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.7%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize24.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 50 to 23 computations (54% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite91.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

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

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

simplify154.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

192 → 390

Calls

Call 1

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

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

eval315.0ms (2.8%)

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

prune72.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	380	10	390
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	380	11	391

Accurracy

100.0%

Counts

391 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.4%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
▶	76.7%	(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	27.9%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	76.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	50.2%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	25.8%	(/.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)
✓	75.7%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	73.7%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	29.7%	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	3.7%	(/.f64 (+.f64 -1 1) 2)
▶	37.4%	(/.f64 2 2)

Compiler

Compiled 359 to 273 computations (24% saved)

localize40.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	100.0%	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	99.9%	(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
✓	96.4%	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 87 to 59 computations (32.2% saved)

series7.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite116.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1430×	`log-prod`
998×	`fma-def`
558×	`expm1-udef`
558×	`log1p-udef`
422×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	118
1	334	112
2	4675	112

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

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

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

simplify159.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1164×	`fma-neg`
740×	`fma-def`
578×	`+-commutative`
518×	`log-prod`
490×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	617	13564
1	1621	12932
2	5906	12840

Stop Event

1×	node limit

Counts

280 → 465

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

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

localize3.0ms (0%)

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

localize13.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite109.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	180	32
2	2448	32

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1444×	`fma-def`
704×	`times-frac`
632×	`unswap-sqr`
568×	`associate-/l*`
528×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	2966
1	465	2648
2	1477	2468

Stop Event

1×	node limit

Counts

92 → 130

Calls

Call 1

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

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

localize54.0ms (0.5%)

Compiler: Compiled 29 to 21 computations (27.6% saved)

localize31.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 73 to 47 computations (35.6% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite117.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`fma-def`
1392×	`log-prod`
710×	`fma-neg`
526×	`expm1-udef`
526×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	290	50
2	4636	50

Stop Event

1×	node limit

Counts

2 → 171

Calls

Call 1

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

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

simplify191.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1482×	`fma-neg`
762×	`fma-def`
592×	`sub-neg`
524×	`associate-+r+`
486×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	545	16445
1	1588	14311
2	6090	14237

Stop Event

1×	node limit

Counts

219 → 367

Calls

Call 1

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

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

eval819.0ms (7.4%)

Compiler: Compiled 38959 to 27658 computations (29% saved)

prune346.0ms (3.1%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1223	6	1229
Fresh	3	2	5
Picked	0	1	1
Done	0	5	5
Total	1226	14	1240

Accurracy

100.0%

Counts

1240 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.7%	(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	27.9%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	25.6%	(/.f64 (-.f64 (/.f64 (neg.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (.f64 alpha alpha)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) 2)
	25.6%	(/.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)
✓	76.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	25.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2)
	29.7%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
▶	30.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	50.2%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	75.7%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	73.7%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	46.2%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
▶	3.7%	(/.f64 (+.f64 -1 1) 2)
✓	37.4%	(/.f64 2 2)

Compiler

Compiled 362 to 276 computations (23.8% saved)

localize12.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite118.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	180	32
2	2441	32

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

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

simplify132.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

162 → 232

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize14.0ms (0.1%)

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

localize81.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 beta (+.f64 beta 2))
✓	100.0%	(-.f64 (neg.f64 beta) (+.f64 beta 2))
✓	93.7%	(-.f64 (/.f64 (neg.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (.f64 alpha alpha)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))
✓	93.4%	(/.f64 (neg.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (.f64 alpha alpha))

Compiler

Compiled 113 to 66 computations (41.6% saved)

series8.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

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

rewrite108.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`expm1-udef`
620×	`log1p-udef`
422×	`add-sqr-sqrt`
412×	`pow1`
412×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	140
1	394	118
2	7145	118

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

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

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

simplify105.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

942×	`times-frac`
844×	`associate-r`
776×	`associate-l`
754×	`associate-/r*`
664×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	517	12901
1	1569	10675

Stop Event

1×	node limit

Counts

279 → 392

Calls

Call 1

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

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

localize72.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)
✓	95.0%	(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))
✓	93.5%	(/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))
✓	79.3%	(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))

Compiler

Compiled 155 to 99 computations (36.1% saved)

series10.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	-inf	(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
1.0ms	beta	@	0	(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
1.0ms	alpha	@	0	(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
1.0ms	beta	@	-inf	(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
0.0ms	beta	@	inf	(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))

rewrite229.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`log-prod`
1174×	`fma-neg`
572×	`expm1-udef`
570×	`log1p-udef`
350×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	154
1	343	136
2	5285	136

Stop Event

1×	node limit

Counts

4 → 302

Calls

Call 1

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

Outputs
(+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (neg.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
(+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (+.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
(+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(+.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(+.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (*.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) 1))
(+.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (fma.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) 1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(+.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (+.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(+.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 0 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) (cbrt.f64 (exp.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))))
(*.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) 1)
(*.f64 1 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(*.f64 (cbrt.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2) (cbrt.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
(*.f64 (sqrt.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (sqrt.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
(.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 9)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 6)) (.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))))
(*.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 6)) (/.f64 1 (+.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
(*.f64 (+.f64 (hypot.f64 (/.f64 (+.f64 beta 2) alpha) (sqrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3/2)) (-.f64 (hypot.f64 (/.f64 (+.f64 beta 2) alpha) (sqrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3/2)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 6)) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (-.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 9))))
(/.f64 1 (/.f64 (+.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (-.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 6))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 9)) (+.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 6)) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 6)) (+.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
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(log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) (exp.f64 (/.f64 (+.f64 beta 2) alpha))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha))))
(fma.f64 (+.f64 beta 2) (*.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha -2) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 1 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) 2) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 alpha -2)) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3/2) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (*.f64 alpha (neg.f64 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (pow.f64 alpha -2) (pow.f64 (+.f64 beta 2) 2) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3/2) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (/.f64 1 alpha) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (/.f64 (+.f64 beta 2) 1) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) alpha) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 beta 2)) (/.f64 1 alpha) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(fma.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(+.f64 0 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 1)
(.f64 (+.f64 beta 2) (.f64 (/.f64 1 alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (pow.f64 alpha -2) (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 (+.f64 beta 2) alpha))
(*.f64 (/.f64 (+.f64 beta 2) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1)
(*.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) 2) (.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha)))
(.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (/.f64 1 alpha) 3))
(*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 1 (pow.f64 alpha 3)))
(*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3/2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3))
(.f64 (.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 2)) (/.f64 1 alpha))
(.f64 (.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(.f64 (.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 2) (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) alpha))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (.f64 alpha alpha) (/.f64 alpha (+.f64 beta 2))))
(/.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(/.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3))
(/.f64 1 (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))))
(/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))
(/.f64 (+.f64 -2 (neg.f64 beta)) (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 alpha)))
(/.f64 (pow.f64 (+.f64 -2 (neg.f64 beta)) 3) (pow.f64 (neg.f64 alpha) 3))
(/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 -2 (neg.f64 beta))) (.f64 (*.f64 alpha alpha) (neg.f64 alpha)))
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (.f64 (*.f64 alpha (neg.f64 alpha)) alpha))
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) 1) (.f64 (*.f64 alpha (neg.f64 alpha)) (/.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (+.f64 -2 (neg.f64 beta))) (.f64 (*.f64 alpha (neg.f64 alpha)) (neg.f64 alpha)))
(/.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 beta 2)) (.f64 alpha alpha))
(/.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) 1) (.f64 alpha (/.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 -2 (neg.f64 beta))) (.f64 alpha (neg.f64 alpha)))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (+.f64 -2 (neg.f64 beta))) (neg.f64 alpha))
(/.f64 (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) alpha)
(/.f64 (*.f64 (+.f64 -2 (neg.f64 beta)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (neg.f64 alpha))
(/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (+.f64 beta 2) alpha)) (.f64 alpha alpha))
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 2) alpha)) (.f64 alpha (neg.f64 alpha)))
(/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (/.f64 (+.f64 beta 2) alpha)) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 beta 2) alpha))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (+.f64 beta 2) alpha))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))

simplify220.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1090×	`fma-def`
898×	`associate-l`
850×	`associate-r`
700×	`times-frac`
530×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	708	23544
1	2020	21174

Stop Event

1×	node limit

Counts

398 → 522

Calls

Call 1

Inputs
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha))) beta) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha))) beta) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 6 (/.f64 1 (pow.f64 alpha 3))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha))) beta) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 6 (/.f64 1 (pow.f64 alpha 3))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))))
(+.f64 (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha))) beta) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 6 (/.f64 1 (pow.f64 alpha 3)))))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha))) beta) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 6 (/.f64 1 (pow.f64 alpha 3))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 6 (/.f64 1 (pow.f64 alpha 3))))) (.f64 -1 (.f64 beta (-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 6 (/.f64 1 (pow.f64 alpha 3))))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 -1 (.f64 beta (-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))))))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(+.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 -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 -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 -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 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 beta (pow.f64 alpha 2)))))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 4 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 beta (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 beta (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 4 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 beta (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 beta (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 alpha)) beta) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
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(.f64 (.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(.f64 (.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 2) (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) alpha))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (.f64 alpha alpha) (/.f64 alpha (+.f64 beta 2))))
(/.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(/.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3))
(/.f64 1 (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))))
(/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))
(/.f64 (+.f64 -2 (neg.f64 beta)) (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 alpha)))
(/.f64 (pow.f64 (+.f64 -2 (neg.f64 beta)) 3) (pow.f64 (neg.f64 alpha) 3))
(/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 -2 (neg.f64 beta))) (.f64 (*.f64 alpha alpha) (neg.f64 alpha)))
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (.f64 (*.f64 alpha (neg.f64 alpha)) alpha))
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) 1) (.f64 (*.f64 alpha (neg.f64 alpha)) (/.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (+.f64 -2 (neg.f64 beta))) (.f64 (*.f64 alpha (neg.f64 alpha)) (neg.f64 alpha)))
(/.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 beta 2)) (.f64 alpha alpha))
(/.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) 1) (.f64 alpha (/.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 -2 (neg.f64 beta))) (.f64 alpha (neg.f64 alpha)))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (+.f64 -2 (neg.f64 beta))) (neg.f64 alpha))
(/.f64 (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) alpha)
(/.f64 (*.f64 (+.f64 -2 (neg.f64 beta)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (neg.f64 alpha))
(/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (+.f64 beta 2) alpha)) (.f64 alpha alpha))
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 2) alpha)) (.f64 alpha (neg.f64 alpha)))
(/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (/.f64 (+.f64 beta 2) alpha)) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 beta 2) alpha))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (+.f64 beta 2) alpha))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))

Outputs
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)))
(+.f64 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 3))) (/.f64 -2 alpha))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha))) beta) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))
(-.f64 (fma.f64 (-.f64 (/.f64 4 (.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 12 (pow.f64 alpha 3)))) beta (/.f64 4 (.f64 alpha alpha))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)))
(fma.f64 (+.f64 (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 12 (pow.f64 alpha 3))) (/.f64 -1 alpha)) beta (+.f64 (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 3))) (/.f64 -2 alpha)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha))) beta) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 6 (/.f64 1 (pow.f64 alpha 3))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))
(-.f64 (fma.f64 (-.f64 (/.f64 4 (.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 12 (pow.f64 alpha 3)))) beta (fma.f64 (.f64 beta beta) (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3))) (/.f64 4 (.f64 alpha alpha)))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)))
(+.f64 (-.f64 (fma.f64 (+.f64 (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 12 (pow.f64 alpha 3))) (/.f64 -1 alpha)) beta (fma.f64 (.f64 beta beta) (+.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3))) (/.f64 4 (.f64 alpha alpha)))) (/.f64 8 (pow.f64 alpha 3))) (/.f64 -2 alpha))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha))) beta) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 6 (/.f64 1 (pow.f64 alpha 3))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (fma.f64 (-.f64 (/.f64 4 (.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 12 (pow.f64 alpha 3)))) beta (fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 (.f64 beta beta) (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3))) (/.f64 4 (.f64 alpha alpha))))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)))
(+.f64 (-.f64 (fma.f64 (+.f64 (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 12 (pow.f64 alpha 3))) (/.f64 -1 alpha)) beta (-.f64 (fma.f64 (.f64 beta beta) (+.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3))) (/.f64 4 (.f64 alpha alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (/.f64 8 (pow.f64 alpha 3))) (/.f64 -2 alpha))
(*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(neg.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 (neg.f64 (pow.f64 beta 3)) (pow.f64 alpha 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))))
(fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (.f64 beta beta) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3)))))
(-.f64 (.f64 (.f64 beta beta) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3)))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(+.f64 (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha))) beta) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 6 (/.f64 1 (pow.f64 alpha 3)))))))
(fma.f64 (-.f64 (/.f64 4 (.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 12 (pow.f64 alpha 3)))) beta (fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (.f64 beta beta) (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3))))))
(fma.f64 (+.f64 (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 12 (pow.f64 alpha 3))) (/.f64 -1 alpha)) beta (-.f64 (.f64 (.f64 beta beta) (+.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3)))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha))) beta) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 6 (/.f64 1 (pow.f64 alpha 3))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (fma.f64 (-.f64 (/.f64 4 (.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 12 (pow.f64 alpha 3)))) beta (fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 (.f64 beta beta) (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3))) (/.f64 4 (.f64 alpha alpha))))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)))
(+.f64 (-.f64 (fma.f64 (+.f64 (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 12 (pow.f64 alpha 3))) (/.f64 -1 alpha)) beta (-.f64 (fma.f64 (.f64 beta beta) (+.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3))) (/.f64 4 (.f64 alpha alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (/.f64 8 (pow.f64 alpha 3))) (/.f64 -2 alpha))
(*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(neg.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 (neg.f64 (pow.f64 beta 3)) (pow.f64 alpha 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))))
(fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (.f64 beta beta) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3)))))
(-.f64 (.f64 (.f64 beta beta) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3)))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 6 (/.f64 1 (pow.f64 alpha 3))))) (.f64 -1 (.f64 beta (-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))))
(fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 (.f64 beta beta) (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3))) (.f64 (neg.f64 beta) (+.f64 (/.f64 12 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 4 (.f64 alpha alpha)))))))
(-.f64 (-.f64 (.f64 (.f64 beta beta) (+.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3)))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 beta (+.f64 (/.f64 12 (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (/.f64 -4 (*.f64 alpha alpha))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 6 (/.f64 1 (pow.f64 alpha 3))))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 -1 (.f64 beta (-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))))))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (fma.f64 (.f64 beta beta) (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3))) (/.f64 4 (.f64 alpha alpha))) (.f64 (neg.f64 beta) (+.f64 (/.f64 12 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 4 (*.f64 alpha alpha))))))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)))
(+.f64 (-.f64 (-.f64 (-.f64 (fma.f64 (.f64 beta beta) (+.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3))) (/.f64 4 (.f64 alpha alpha))) (.f64 beta (+.f64 (/.f64 12 (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (/.f64 -4 (*.f64 alpha alpha)))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (/.f64 8 (pow.f64 alpha 3))) (/.f64 -2 alpha))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(neg.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))
(+.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 (neg.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))
(-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))
(+.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 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (neg.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)))
(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)))
(+.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 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (neg.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)))
(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))
(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (/.f64 (-.f64 -2 beta) 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 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (neg.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)))
(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)))
(+.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 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (neg.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)))
(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))
(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (/.f64 (-.f64 -2 beta) 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 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (neg.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)))
(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)))
(+.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 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (neg.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)))
(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 beta (pow.f64 alpha 2))))
(fma.f64 4 (/.f64 beta (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha)))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (fma.f64 4 (/.f64 beta (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))
(+.f64 (/.f64 4 (.f64 alpha alpha)) (fma.f64 4 (/.f64 beta (.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (fma.f64 4 (/.f64 beta (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))
(+.f64 (/.f64 4 (.f64 alpha alpha)) (fma.f64 4 (/.f64 beta (.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 4 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (.f64 4 (/.f64 beta (.f64 alpha alpha))) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))
(fma.f64 4 (/.f64 beta (.f64 alpha alpha)) (.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 beta (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (fma.f64 4 (/.f64 beta (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))
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(*.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) 2) (.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (/.f64 1 alpha) 3))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 1 (pow.f64 alpha 3)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3/2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3/2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(.f64 (.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 2)) (/.f64 1 alpha))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(.f64 (.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(.f64 (.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (+.f64 beta 2) (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) alpha))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (.f64 alpha alpha) (/.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 1 (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (+.f64 -2 (neg.f64 beta)) (.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 alpha)))
(/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 2 beta) 2)))
(/.f64 (pow.f64 (+.f64 -2 (neg.f64 beta)) 3) (pow.f64 (neg.f64 alpha) 3))
(/.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 (neg.f64 alpha) 3))
(/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 -2 (neg.f64 beta))) (.f64 (*.f64 alpha alpha) (neg.f64 alpha)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (.f64 (*.f64 alpha (neg.f64 alpha)) alpha))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) 1) (.f64 (*.f64 alpha (neg.f64 alpha)) (/.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (+.f64 -2 (neg.f64 beta))) (.f64 (*.f64 alpha (neg.f64 alpha)) (neg.f64 alpha)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 beta 2)) (.f64 alpha alpha))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) 1) (.f64 alpha (/.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 -2 (neg.f64 beta))) (.f64 alpha (neg.f64 alpha)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (neg.f64 (pow.f64 alpha 3)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 2)) alpha)
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (+.f64 -2 (neg.f64 beta))) (neg.f64 alpha))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (*.f64 (+.f64 beta 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) alpha)
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (*.f64 (+.f64 -2 (neg.f64 beta)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (neg.f64 alpha))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (+.f64 beta 2) alpha)) (.f64 alpha alpha))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 2) alpha)) (.f64 alpha (neg.f64 alpha)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (/.f64 (+.f64 beta 2) alpha)) alpha)
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 6))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 9))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(exp.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 beta 2) alpha))))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (+.f64 beta 2) alpha))) 1))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)

eval827.0ms (7.5%)

Compiler: Compiled 38851 to 27245 computations (29.9% saved)

prune385.0ms (3.5%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1139	7	1146
Fresh	1	2	3
Picked	1	0	1
Done	2	8	10
Total	1143	17	1160

Accurracy

100.0%

Counts

1160 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.7%	(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	27.9%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	21.9%	(/.f64 (/.f64 2 alpha) 2)
✓	76.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	25.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2)
▶	26.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (/.f64 (-.f64 -2 beta) alpha))) 2)
▶	20.3%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	26.1%	(/.f64 (-.f64 (.f64 -2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) 2)
	29.7%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
✓	30.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	50.2%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	48.4%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	75.7%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	73.7%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	46.2%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	37.4%	(/.f64 2 2)
▶	49.8%	(/.f64 1 2)

Compiler

Compiled 378 to 287 computations (24.1% saved)

localize3.0ms (0%)

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

localize8.0ms (0.1%)

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

localize8.0ms (0.1%)

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

localize14.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
✓	99.7%	(/.f64 4 (*.f64 alpha alpha))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite106.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 182

Calls

Call 1

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

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

simplify150.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

206 → 240

Calls

Call 1

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

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

localize88.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 101 to 67 computations (33.7% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	0	(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (/.f64 (-.f64 -2 beta) alpha))
0.0ms	beta	@	inf	(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (/.f64 (-.f64 -2 beta) alpha))
0.0ms	beta	@	-inf	(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (/.f64 (-.f64 -2 beta) alpha))
0.0ms	alpha	@	0	(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (/.f64 (-.f64 -2 beta) alpha))
0.0ms	alpha	@	-inf	(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (/.f64 (-.f64 -2 beta) alpha))

rewrite120.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`log-prod`
820×	`fma-def`
598×	`pow-exp`
502×	`expm1-udef`
498×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	285	69
2	4146	69

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

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

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

simplify173.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1140×	`fma-neg`
618×	`exp-prod`
532×	`div-sub`
382×	`associate-l`
380×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	8464
1	995	8140
2	4043	7748

Stop Event

1×	node limit

Counts

240 → 234

Calls

Call 1

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

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

eval426.0ms (3.9%)

Compiler: Compiled 15362 to 11178 computations (27.2% saved)

prune199.0ms (1.8%)

Pruning

17 alts after pruning (6 fresh and 11 done)

	Pruned	Kept	Total
New	571	2	573
Fresh	0	4	4
Picked	1	0	1
Done	1	11	12
Total	573	17	590

Accurracy

100.0%

Counts

590 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.7%	(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
	20.3%	(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
✓	27.9%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	21.9%	(/.f64 (/.f64 2 alpha) 2)
✓	76.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	25.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2)
	26.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) 2)
	26.1%	(/.f64 (-.f64 (.f64 -2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) 2)
	29.7%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
✓	30.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	50.2%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	48.4%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	75.7%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	73.7%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	46.2%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	37.4%	(/.f64 2 2)
✓	49.8%	(/.f64 1 2)

Compiler

Compiled 244 to 186 computations (23.8% saved)

regimes195.0ms (1.8%)

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

79.0ms	alpha
44.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
38.0ms	beta
16.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Accuracy	Segments	Branch
95.3%	2	`alpha`
78.9%	3	`beta`
100.0%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
100.0%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
100.0%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 469 to 325 computations (30.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999998527525406	-0.2659794632787712

Compiler

Compiled 20 to 15 computations (25% saved)

regimes122.0ms (1.1%)

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

46.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
33.0ms	beta
21.0ms	alpha
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
95.3%	2	`alpha`
78.9%	3	`beta`
100.0%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
100.0%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
100.0%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 272 to 196 computations (27.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999998527525406	-0.2659794632787712

Compiler

Compiled 20 to 15 computations (25% saved)

regimes150.0ms (1.4%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

5 calls:

83.0ms	beta
28.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
21.0ms	alpha
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
95.3%	2	`alpha`
78.9%	3	`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 245 to 178 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999902796	-0.9999998527525406

Compiler

Compiled 20 to 15 computations (25% saved)

regimes89.0ms (0.8%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

5 calls:

47.0ms	beta
16.0ms	alpha
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
95.3%	2	`alpha`
77.9%	3	`beta`
99.7%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.7%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.7%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 181 to 138 computations (23.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999902796	-0.9999998527525406

Compiler

Compiled 20 to 15 computations (25% saved)

regimes44.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	beta
16.0ms	alpha

Results

Accuracy	Segments	Branch
94.2%	2	`alpha`
75.9%	3	`beta`

Compiler

Compiled 116 to 94 computations (19% saved)

bsearch38.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	71.71892996808104	205752497002.61478

Results

36.0ms

144×

body

256

valid

Compiler

Compiled 236 to 195 computations (17.4% saved)

regimes72.0ms (0.6%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

50.0ms	beta
19.0ms	alpha

Results

Accuracy	Segments	Branch
87.7%	2	`alpha`
75.9%	3	`beta`

Compiler

Compiled 63 to 53 computations (15.9% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	71.71892996808104	205752497002.61478

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 200 to 168 computations (16% saved)

regimes108.0ms (1%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

2 calls:

56.0ms	alpha
49.0ms	beta

Results

Accuracy	Segments	Branch
69.4%	4	`alpha`
74.6%	4	`beta`

Compiler

Compiled 45 to 39 computations (13.3% saved)

bsearch75.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
42.0ms	0.20148279496696594	11.871124198458334
12.0ms	-8.146496854725611e-151	-3.060810888475365e-151
21.0ms	-1.6964393961520517e-108	-8.581207537682279e-115

Results

37.0ms	56×	body	1024	valid
26.0ms	251×	body	256	valid
4.0ms	24×	body	512	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 412 to 365 computations (11.4% saved)

regimes77.0ms (0.7%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

2 calls:

57.0ms	alpha
19.0ms	beta

Results

Accuracy	Segments	Branch
69.4%	4	`alpha`
74.4%	4	`beta`

Compiler

Compiled 38 to 33 computations (13.2% saved)

bsearch48.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	0.20148279496696594	11.871124198458334
11.0ms	-8.146496854725611e-151	-3.060810888475365e-151
20.0ms	-1.6964393961520517e-108	-8.581207537682279e-115

Results

30.0ms	265×	body	256	valid
8.0ms	38×	body	1024	valid
4.0ms	28×	body	512	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 384 to 344 computations (10.4% saved)

regimes37.0ms (0.3%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	alpha
14.0ms	beta

Results

Accuracy	Segments	Branch
68.9%	4	`alpha`
74.1%	4	`beta`

Compiler

Compiled 24 to 21 computations (12.5% saved)

bsearch66.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
32.0ms	0.20148279496696594	11.871124198458334
12.0ms	-8.146496854725611e-151	-3.060810888475365e-151
21.0ms	-1.6964393961520517e-108	-8.581207537682279e-115

Results

26.0ms	243×	body	256	valid
21.0ms	27×	body	512	valid
13.0ms	61×	body	1024	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 300 to 281 computations (6.3% saved)

regimes24.0ms (0.2%)

Accuracy

Total -43.9b remaining (-244.3%)

Threshold costs -43.9b (-244.3%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	alpha
9.0ms	beta

Results

Accuracy	Segments	Branch
55.5%	4	`alpha`
71.9%	2	`beta`

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.20148279496696594	11.871124198458334

Results

9.0ms	91×	body	256	valid
3.0ms	16×	body	1024	valid
1.0ms	4×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 104 to 99 computations (4.8% saved)

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

336×	`unsub-neg`
196×	`neg-mul-1`
106×	`+-commutative`
94×	`distribute-lft-neg-in`
92×	`distribute-neg-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	885
1	119	885
2	146	885
3	190	881
4	242	881
5	334	881
6	394	881
7	466	881
8	592	881
9	744	881
10	810	881
11	862	881
12	880	881
13	882	881

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007198354021067/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.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 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 3400000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 380000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -3682451937504207/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -691033158841835/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -2948408144391829/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (/.f64 1 2) (if (<=.f64 beta -138206631768367/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.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)) -1/2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (-.f64 beta -2) alpha) (/.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 alpha (+.f64 beta 2))))) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) 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)) -1/2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (-.f64 beta -2) alpha) (/.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 alpha (+.f64 beta 2))))) 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 2 (*.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 2 (*.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 2 (*.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 2 (*.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 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007198354021067/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007198354021067/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2))
(if (<=.f64 alpha 3400000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 3400000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 380000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 380000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -3682451937504207/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -691033158841835/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -3682451937504207/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta -691033158841835/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) (/.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 -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -2948408144391829/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta -2948408144391829/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) 1)))
(if (<=.f64 beta -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (/.f64 1 2) (if (<=.f64 beta -138206631768367/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) 1/2 (if (<=.f64 beta -138206631768367/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) 1/2 1)))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 350 to 262 computations (25.1% saved)

soundness1.3s (11.9%)

Rules

1444×	`fma-def`
1380×	`fma-neg`
1332×	`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	617	13564
1	1621	12932
2	5906	12840
0	708	23544
1	2020	21174
0	12	69
1	285	69
2	4146	69
0	11	56
1	259	56
2	3902	56
0	510	10982
1	1409	10596
2	4973	10328
0	195	2966
1	465	2648
2	1477	2468

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

Compiler

Compiled 1333 to 934 computations (29.9% saved)

end214.0ms (1.9%)

Compiler: Compiled 330 to 236 computations (28.5% saved)

Iter	Nodes	Cost
0	91	885
1	119	885
2	146	885
3	190	881
4	242	881
5	334	881
6	394	881
7	466	881
8	592	881
9	744	881
10	810	881
11	862	881
12	880	881
13	882	881

Iter	Nodes	Cost
0	91	885
1	119	885
2	146	885
3	190	881
4	242	881
5	334	881
6	394	881
7	466	881
8	592	881
9	744	881
10	810	881
11	862	881
12	880	881
13	882	881

Iter	Nodes	Cost
0	91	885
1	119	885
2	146	885
3	190	881
4	242	881
5	334	881
6	394	881
7	466	881
8	592	881
9	744	881
10	810	881
11	862	881
12	880	881
13	882	881