Metrics for Octave 3.8, jcobi/1

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.2s (15.1%)

Results

767.0ms	6462×	body	256	valid
235.0ms	1059×	body	1024	valid
145.0ms	656×	body	512	valid
25.0ms	79×	body	2048	valid

Bogosity

preprocess62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

79.0%

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	79.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize56.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	79.0%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 51 to 24 computations (52.9% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	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))

rewrite89.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

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

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

simplify138.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

192 → 390

Calls

Call 1

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

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

eval251.0ms (3.2%)

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

prune93.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

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

Accurracy

100.0%

Counts

391 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.5%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
▶	25.1%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	53.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	19.4%	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))))) 2)
	21.9%	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) 2)
	19.4%	(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (-.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (/.f64 (+.f64 2 beta) (/.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 2 beta))))) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) 2)
✓	79.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	77.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	29.5%	(/.f64 (+.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)))) 2)
	3.7%	(/.f64 (+.f64 -1 1) 2)
	79.0%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	79.0%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
▶	38.2%	(/.f64 2 2)
▶	23.5%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
▶	25.1%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	53.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	19.4%	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))))) 2)
	21.9%	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) 2)
	19.4%	(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (-.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (/.f64 (+.f64 2 beta) (/.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 2 beta))))) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) 2)
✓	79.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	77.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	29.5%	(/.f64 (+.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)))) 2)
	3.7%	(/.f64 (+.f64 -1 1) 2)
	79.0%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	79.0%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
▶	38.2%	(/.f64 2 2)

Compiler

Compiled 1238 to 906 computations (26.8% saved)

localize292.0ms (3.7%)

Local Accuracy

Found 12 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 2 beta) alpha)
✓	100.0%	(+.f64 beta (+.f64 2 beta))
✓	100.0%	(-.f64 (-.f64 -2 beta) beta)
✓	96.2%	(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
✓	100.0%	(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
✓	100.0%	(+.f64 beta (+.f64 2 beta))
✓	100.0%	(/.f64 beta (+.f64 beta 2))
✓	100.0%	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
✓	100.0%	(+.f64 (+.f64 alpha 2) beta)
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
✓	97.8%	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
✓	78.6%	(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))

Compiler

Compiled 199 to 121 computations (39.2% saved)

series25.0ms (0.3%)

Counts

12 → 228

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	-inf	(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
2.0ms	beta	@	0	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
1.0ms	beta	@	inf	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
1.0ms	beta	@	0	(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
1.0ms	alpha	@	0	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))

rewrite126.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`add-sqr-sqrt`
630×	`pow1`
628×	`*-un-lft-identity`
598×	`add-exp-log`
598×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	260
1	627	258

Stop Event

1×	node limit

Counts

12 → 339

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(+.f64 (+.f64 alpha 2) beta)
(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
(/.f64 beta (+.f64 beta 2))
(+.f64 beta (+.f64 2 beta))
(/.f64 (+.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 -2 beta) beta)
(+.f64 beta (+.f64 2 beta))
(/.f64 (+.f64 2 beta) alpha)

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

simplify226.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1784×	`fma-def`
1014×	`distribute-lft-in`
694×	`times-frac`
452×	`*-commutative`
428×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1147	25623
1	3422	22417

Stop Event

1×	node limit

Counts

567 → 689

Calls

Call 1

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

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

eval471.0ms (6%)

Compiler: Compiled 25186 to 18064 computations (28.3% saved)

prune200.0ms (2.5%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	778	9	787
Fresh	2	5	7
Picked	2	3	5
Done	0	1	1
Total	782	18	800

Accurracy

100.0%

Counts

800 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.1%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
▶	9.2%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
▶	20.0%	(/.f64 (/.f64 2 alpha) 2)
▶	25.0%	(/.f64 (/.f64 1 (/.f64 alpha (+.f64 2 (+.f64 beta beta)))) 2)
	18.4%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	31.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	53.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	19.4%	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))))) 2)
	21.9%	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) 2)
	19.4%	(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (-.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (/.f64 (+.f64 2 beta) (/.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 2 beta))))) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) 2)
✓	79.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	77.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	23.5%	(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2)
	49.5%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	31.6%	(/.f64 (+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) 2)
▶	79.0%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	53.0%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
✓	38.2%	(/.f64 2 2)
✓	25.1%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
▶	9.2%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
▶	20.0%	(/.f64 (/.f64 2 alpha) 2)
▶	25.0%	(/.f64 (/.f64 1 (/.f64 alpha (+.f64 2 (+.f64 beta beta)))) 2)
	18.4%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	31.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	53.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	19.4%	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))))) 2)
	21.9%	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) 2)
	19.4%	(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (-.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (/.f64 (+.f64 2 beta) (/.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 2 beta))))) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) 2)
✓	79.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	77.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	23.5%	(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2)
	49.5%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	31.6%	(/.f64 (+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) 2)
▶	79.0%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	53.0%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
✓	38.2%	(/.f64 2 2)

Compiler

Compiled 1324 to 994 computations (24.9% saved)

localize271.0ms (3.4%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
✓	97.2%	(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
✓	72.9%	(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
✓	100.0%	(/.f64 alpha (+.f64 2 (+.f64 beta beta)))
✓	99.9%	(/.f64 1 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
✓	100.0%	(exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
✓	79.0%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
✓	79.0%	(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))

Compiler

Compiled 183 to 100 computations (45.4% saved)

series15.0ms (0.2%)

Counts

9 → 180

Calls

45 calls:

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

rewrite154.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`expm1-udef`
512×	`add-sqr-sqrt`
506×	`pow1`
502×	`*-un-lft-identity`
482×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	229
1	499	201
2	7809	201

Stop Event

1×	node limit

Counts

9 → 306

Calls

Call 1

Inputs
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 1 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(/.f64 alpha (+.f64 2 (+.f64 beta beta)))
(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))

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

simplify251.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1312×	`fma-def`
660×	`associate-+r+`
650×	`associate-+l+`
548×	`distribute-rgt-in`
544×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1027	22646
1	2906	21096

Stop Event

1×	node limit

Counts

486 → 651

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

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

eval342.0ms (4.3%)

Compiler: Compiled 16701 to 12393 computations (25.8% saved)

prune154.0ms (2%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	645	6	651
Fresh	3	6	9
Picked	1	4	5
Done	0	4	4
Total	649	20	669

Accurracy

100.0%

Counts

669 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.1%	(/.f64 (fma.f64 4 (/.f64 (/.f64 2 alpha) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (/.f64 2 alpha) alpha) (/.f64 2 alpha))) 2)
	18.3%	(/.f64 (fma.f64 -2 (/.f64 (.f64 -2 (/.f64 -1 alpha)) alpha) (fma.f64 -2 (/.f64 -1 alpha) (fma.f64 -8 (/.f64 (.f64 -2 (/.f64 -1 alpha)) (pow.f64 alpha 3)) (/.f64 (.f64 4 (.f64 -2 (/.f64 -1 alpha))) (*.f64 alpha alpha))))) 2)
✓	25.1%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
✓	9.2%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
✓	20.0%	(/.f64 (/.f64 2 alpha) 2)
✓	25.0%	(/.f64 (/.f64 1 (/.f64 alpha (+.f64 2 (+.f64 beta beta)))) 2)
	18.4%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
▶	31.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	53.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	18.3%	(/.f64 (+.f64 (fma.f64 4 (/.f64 (/.f64 2 alpha) (.f64 alpha alpha)) (fma.f64 -2 (/.f64 (/.f64 2 alpha) alpha) (/.f64 2 alpha))) (.f64 -8 (/.f64 (/.f64 2 alpha) (pow.f64 alpha 3)))) 2)
✓	79.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	77.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	23.5%	(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2)
	25.0%	(/.f64 (+.f64 (.f64 (/.f64 1 alpha) (+.f64 beta 2)) (.f64 (/.f64 1 alpha) beta)) 2)
	49.5%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
▶	31.6%	(/.f64 (+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) 2)
▶	51.0%	(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
	53.0%	(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
✓	53.0%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
✓	38.2%	(/.f64 2 2)
	19.1%	(/.f64 (fma.f64 4 (/.f64 (/.f64 2 alpha) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (/.f64 2 alpha) alpha) (/.f64 2 alpha))) 2)
	18.3%	(/.f64 (fma.f64 -2 (/.f64 (.f64 -2 (/.f64 -1 alpha)) alpha) (fma.f64 -2 (/.f64 -1 alpha) (fma.f64 -8 (/.f64 (.f64 -2 (/.f64 -1 alpha)) (pow.f64 alpha 3)) (/.f64 (.f64 4 (.f64 -2 (/.f64 -1 alpha))) (*.f64 alpha alpha))))) 2)
✓	25.1%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
✓	9.2%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
✓	20.0%	(/.f64 (/.f64 2 alpha) 2)
✓	25.0%	(/.f64 (/.f64 1 (/.f64 alpha (+.f64 2 (+.f64 beta beta)))) 2)
	18.4%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
▶	31.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	53.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	18.3%	(/.f64 (+.f64 (fma.f64 4 (/.f64 (/.f64 2 alpha) (.f64 alpha alpha)) (fma.f64 -2 (/.f64 (/.f64 2 alpha) alpha) (/.f64 2 alpha))) (.f64 -8 (/.f64 (/.f64 2 alpha) (pow.f64 alpha 3)))) 2)
✓	79.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	77.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	23.5%	(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2)
	25.0%	(/.f64 (+.f64 (.f64 (/.f64 1 alpha) (+.f64 beta 2)) (.f64 (/.f64 1 alpha) beta)) 2)
	49.5%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
▶	31.6%	(/.f64 (+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) 2)
▶	51.0%	(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
	53.0%	(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
✓	53.0%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
✓	38.2%	(/.f64 2 2)

Compiler

Compiled 1034 to 810 computations (21.7% saved)

localize240.0ms (3.1%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
✓	100.0%	(+.f64 beta (+.f64 beta 2))
✓	99.6%	(*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha))
✓	96.5%	(+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
✓	100.0%	(-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))
✓	99.8%	(/.f64 4 (*.f64 beta beta))
✓	100.0%	(/.f64 alpha (+.f64 alpha 2))
✓	73.6%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 209 to 131 computations (37.3% saved)

series9.0ms (0.1%)

Counts

8 → 132

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	inf	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
1.0ms	alpha	@	0	(+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
1.0ms	beta	@	0	(+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
1.0ms	beta	@	inf	(+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
0.0ms	beta	@	0	(/.f64 4 (*.f64 beta beta))

rewrite86.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	196
1	599	178

Stop Event

1×	node limit

Counts

8 → 259

Calls

Call 1

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

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

simplify139.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1286×	`times-frac`
940×	`associate-r`
804×	`associate-l`
774×	`fma-def`
316×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	762	14201
1	2154	13315

Stop Event

1×	node limit

Counts

391 → 458

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

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

eval199.0ms (2.5%)

Compiler: Compiled 11004 to 7844 computations (28.7% saved)

prune94.0ms (1.2%)

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	453	5	458
Fresh	4	3	7
Picked	1	4	5
Done	1	7	8
Total	459	19	478

Accurracy

100.0%

Counts

478 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.1%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
✓	9.2%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
✓	20.0%	(/.f64 (/.f64 2 alpha) 2)
✓	25.0%	(/.f64 (/.f64 1 (/.f64 alpha (+.f64 2 (+.f64 beta beta)))) 2)
	18.4%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
✓	31.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	53.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	79.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	77.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	19.1%	(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
	18.3%	(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) 2)
✓	23.5%	(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2)
	7.0%	(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta beta) alpha)) 2)
	25.0%	(/.f64 (+.f64 (.f64 (/.f64 1 alpha) (+.f64 beta 2)) (.f64 (/.f64 1 alpha) beta)) 2)
	49.5%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	31.6%	(/.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 4 beta) 2) beta)) 2)
✓	51.0%	(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
✓	38.2%	(/.f64 2 2)
	52.7%	(/.f64 1 2)

Compiler

Compiled 847 to 614 computations (27.5% saved)

regimes121.0ms (1.5%)

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

43.0ms	beta
29.0ms	alpha
19.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Accuracy	Segments	Branch
94.7%	2	`alpha`
80.9%	3	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 643 to 452 computations (29.7% saved)

regimes32.0ms (0.4%)

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

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

Calls

3 calls:

14.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
99.7%	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 220 to 158 computations (28.2% saved)

regimes28.0ms (0.4%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

alpha

Results

Accuracy	Segments	Branch
93.7%	2	`alpha`

Compiler

Compiled 122 to 95 computations (22.1% saved)

regimes14.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

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

1 calls:

11.0ms

alpha

Results

Accuracy	Segments	Branch
88.3%	2	`alpha`

Compiler

Compiled 67 to 55 computations (17.9% saved)

regimes41.0ms (0.5%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	alpha
18.0ms	beta

Results

Accuracy	Segments	Branch
78.4%	4	`beta`
70.0%	4	`alpha`

Compiler

Compiled 52 to 43 computations (17.3% saved)

regimes11.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

beta

Results

Accuracy	Segments	Branch
76.6%	2	`beta`

Compiler

Compiled 42 to 37 computations (11.9% saved)

regimes10.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

beta

Results

Accuracy	Segments	Branch
76.1%	2	`beta`

Compiler

Compiled 35 to 31 computations (11.4% saved)

regimes9.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

beta

Results

Accuracy	Segments	Branch
75.3%	2	`beta`

Compiler

Compiled 28 to 25 computations (10.7% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 1 2)

Outputs
(/.f64 1 2)

Calls

2 calls:

3.0ms	beta
2.0ms	alpha

Results

Accuracy	Segments	Branch
52.7%	1	`alpha`
52.7%	1	`beta`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999899910219	-0.9999926120099503

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999995072	-0.9999999899910219

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	34146.826172440924	270707.6228509942

Results

9.0ms

96×

body

256

valid

Compiler

Compiled 164 to 129 computations (21.3% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	8.183983000395439e+124	1.9582582440141342e+126

Results

12.0ms	82×	body	512	valid
3.0ms	30×	body	256	valid

Compiler

Compiled 160 to 134 computations (16.3% saved)

bsearch41.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	4.81967872972498e+171	2.7620331849769657e+172
9.0ms	1.3509183578658885e+152	3.742322750269748e+152
20.0ms	1.6849463923911993e-7	25.89996810534562

Results

27.0ms	264×	body	256	valid
5.0ms	25×	body	1024	valid
4.0ms	30×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 396 to 335 computations (15.4% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.6849463923911993e-7	25.89996810534562

Results

11.0ms	108×	body	256	valid
5.0ms	25×	body	1024	valid
1.0ms	7×	body	512	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 200 to 177 computations (11.5% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.6849463923911993e-7	25.89996810534562

Results

11.0ms	104×	body	256	valid
5.0ms	27×	body	1024	valid
1.0ms	10×	body	512	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 164 to 150 computations (8.5% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.6849463923911993e-7	25.89996810534562

Results

10.0ms	107×	body	256	valid
6.0ms	26×	body	1024	valid
1.0ms	9×	body	512	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative`
16×	`sub-neg`
14×	`*-commutative`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	511
1	89	511
2	103	511
3	114	511
4	121	511
5	123	511

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 210000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 82000000000000000227192277902242707348050234593453468299873062753104172721846470749067954800286013828886740396490625894055936) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (if (<=.f64 beta 369999999999999996179944843132059605984011540687238358035117102849948312782066972014107155898292481194059490510421167036441149190744910161752055529603072) (/.f64 (-.f64 2 (/.f64 2 beta)) 2) (if (<=.f64 beta 4899999999999999753011320287410508678173199800192239674203648297713995090738536174766036092642540257748258531998217464447826150558174375096154172845171047417715968287178752) (/.f64 (/.f64 (+.f64 beta beta) alpha) 2) (/.f64 2 2))))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 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)) -4503577109372359/4503599627370496) (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.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 alpha beta) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 210000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 210000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 82000000000000000227192277902242707348050234593453468299873062753104172721846470749067954800286013828886740396490625894055936) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 82000000000000000227192277902242707348050234593453468299873062753104172721846470749067954800286013828886740396490625894055936) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (if (<=.f64 beta 369999999999999996179944843132059605984011540687238358035117102849948312782066972014107155898292481194059490510421167036441149190744910161752055529603072) (/.f64 (-.f64 2 (/.f64 2 beta)) 2) (if (<=.f64 beta 4899999999999999753011320287410508678173199800192239674203648297713995090738536174766036092642540257748258531998217464447826150558174375096154172845171047417715968287178752) (/.f64 (/.f64 (+.f64 beta beta) alpha) 2) (/.f64 2 2))))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 369999999999999996179944843132059605984011540687238358035117102849948312782066972014107155898292481194059490510421167036441149190744910161752055529603072) (/.f64 (-.f64 2 (/.f64 2 beta)) 2) (if (<=.f64 beta 4899999999999999753011320287410508678173199800192239674203648297713995090738536174766036092642540257748258531998217464447826150558174375096154172845171047417715968287178752) (/.f64 (/.f64 (+.f64 beta beta) alpha) 2) 1)))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 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 211 to 156 computations (26.1% saved)

soundness1.7s (21.7%)

Rules

1784×	`fma-def`
1784×	`fma-def`
1784×	`fma-def`
1380×	`fma-neg`
1380×	`fma-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	25	37
2	42	37
3	70	37
4	122	37
5	242	33
6	449	33
7	759	33
8	1616	33
9	3796	33
10	7629	33
0	510	10982
1	1409	10596
2	4973	10328
0	26	260
1	627	258
0	510	10982
1	1409	10596
2	4973	10328
0	1147	25623
1	3422	22417
0	1147	25623
1	3422	22417
0	510	10982
1	1409	10596
2	4973	10328
0	1147	25623
1	3422	22417

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 382 to 281 computations (26.4% saved)

end0.0ms (0%)

preprocess493.0ms (6.3%)

Compiler: Compiled 420 to 296 computations (29.5% saved)

analyze0.0ms (0%)

sample1.2s (15.1%)

preprocess62.0ms (0.8%)

simplify71.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize56.0ms (0.7%)

series9.0ms (0.1%)

rewrite89.0ms (1.1%)

simplify138.0ms (1.8%)

eval251.0ms (3.2%)

prune93.0ms (1.2%)

localize292.0ms (3.7%)

series25.0ms (0.3%)

rewrite126.0ms (1.6%)

simplify226.0ms (2.9%)

eval471.0ms (6%)

prune200.0ms (2.5%)

localize271.0ms (3.4%)

series15.0ms (0.2%)

rewrite154.0ms (2%)

simplify251.0ms (3.2%)

eval342.0ms (4.3%)

prune154.0ms (2%)

localize240.0ms (3.1%)

series9.0ms (0.1%)

rewrite86.0ms (1.1%)

simplify139.0ms (1.8%)

eval199.0ms (2.5%)

prune94.0ms (1.2%)

regimes121.0ms (1.5%)

regimes32.0ms (0.4%)

regimes28.0ms (0.4%)

regimes14.0ms (0.2%)

regimes41.0ms (0.5%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch41.0ms (0.5%)

bsearch20.0ms (0.3%)

bsearch20.0ms (0.3%)

bsearch20.0ms (0.3%)

simplify16.0ms (0.2%)

soundness1.7s (21.7%)

end0.0ms (0%)

preprocess493.0ms (6.3%)

Profiling