Details

analyze39.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.4s (6.6%)

Results

928.0ms	6482×	body	256	valid
278.0ms	1057×	body	1024	valid
156.0ms	615×	body	512	valid
40.0ms	102×	body	2048	valid

Bogosity

preprocess75.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1084×	`fma-neg`
902×	`associate-+l-`
768×	`div-sub`
742×	`associate--l-`
622×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	41	74
2	64	74
3	110	74
4	200	74
5	438	66
6	956	66
7	2718	66
8	5961	66
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

982×	`associate-/l*`
722×	`fma-def`
710×	`distribute-lft-in`
708×	`associate-+l-`
618×	`associate--l-`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	25	37
2	41	37
3	69	37
4	117	37
5	255	33
6	463	33
7	845	33
8	1720	33
9	3940	33

Stop Event

1×	node limit

Counts

1 → 5

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 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 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 65 to 39 computations (40% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Accurracy

79.8%

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	98.6%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`associate-/l*`
1468×	`associate-/r/`
762×	`associate-/l/`
280×	`+-commutative`
274×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	259	56
2	3844	56

Stop Event

1×	node limit

Counts

2 → 134

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

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

simplify170.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

924×	`distribute-lft-in`
812×	`distribute-rgt-in`
734×	`*-commutative`
724×	`+-commutative`
570×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	608	12724
1	2161	12284

Stop Event

1×	node limit

Counts

182 → 354

Calls

Call 1

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

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

eval213.0ms (1%)

Compiler: Compiled 12222 to 7914 computations (35.2% saved)

prune196.0ms (0.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	340	14	354
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	340	15	355

Accurracy

99.9%

Counts

355 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
	24.2%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	22.1%	(/.f64 (-.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)))) 2)
▶	80.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	79.7%	(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
▶	54.2%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	20.3%	(/.f64 (+.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)))))) 2)
	21.4%	(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2)
✓	79.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	76.5%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	29.8%	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	3.6%	(/.f64 (+.f64 -1 1) 2)
▶	52.6%	(/.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2)
	22.1%	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
▶	38.1%	(/.f64 2 2)

Compiler

Compiled 679 to 517 computations (23.9% saved)

localize33.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	98.7%	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 73 to 47 computations (35.6% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite179.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`associate-/r*`
1384×	`associate-/l*`
850×	`associate-/r/`
464×	`associate-/l/`
270×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	257	63
2	3737	63

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

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

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

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

simplify199.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

830×	`associate-+l-`
654×	`associate-+r-`
636×	`*-commutative`
560×	`associate-/l*`
544×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	596	12924
1	1805	12488
2	7117	12478

Stop Event

1×	node limit

Counts

260 → 419

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize43.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 alpha (+.f64 alpha 2))
✓	98.0%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite111.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1378×	`associate-*r/`
948×	`associate-*l/`
902×	`associate-/r*`
796×	`*-commutative`
678×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	180	32
2	2431	32

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

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

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

simplify146.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1420×	`associate-/r/`
826×	`associate-+l+`
686×	`associate-+r+`
600×	`+-commutative`
492×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	7727
1	1123	6943
2	4260	6921

Stop Event

1×	node limit

Counts

163 → 257

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
✓	98.6%	(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)

Compiler

Compiled 65 to 38 computations (41.5% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite149.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`associate-/l*`
1222×	`associate-/r/`
404×	`+-commutative`
318×	`associate-+l+`
318×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	295	56
2	4564	56

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

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

simplify124.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

748×	`fma-def`
716×	`distribute-lft-in`
648×	`+-commutative`
636×	`distribute-rgt-in`
624×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	568	12438
1	1863	11788

Stop Event

1×	node limit

Counts

170 → 329

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

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

localize43.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.9%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
✓	99.9%	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
✓	97.3%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
✓	96.0%	(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)

Compiler

Compiled 131 to 79 computations (39.7% saved)

series66.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
57.0ms	alpha	@	inf	(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)
1.0ms	beta	@	-inf	(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)
1.0ms	alpha	@	-inf	(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)
1.0ms	beta	@	inf	(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)
1.0ms	beta	@	0	(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)

rewrite129.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`associate-/l*`
1142×	`associate-/r/`
360×	`+-commutative`
338×	`add-sqr-sqrt`
330×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	99
1	319	99
2	4760	99

Stop Event

1×	node limit

Counts

3 → 232

Calls

Call 1

Inputs

(+.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)

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

Outputs

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

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

simplify302.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1022×	`*-commutative`
1016×	`+-commutative`
936×	`associate-r`
840×	`associate-/r*`
762×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	965	26746
1	3066	26464

Stop Event

1×	node limit

Counts

304 → 600

Calls

Call 1

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

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

eval1.9s (8.8%)

Compiler: Compiled 81458 to 54886 computations (32.6% saved)

prune894.0ms (4.2%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1922	19	1941
Fresh	5	4	9
Picked	1	0	1
Done	0	5	5
Total	1928	28	1956

Accurracy

99.9%

Counts

1956 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
	22.1%	(/.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha))) (.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)))) 2)
	79.8%	(/.f64 (/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
	79.7%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 -3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
	54.2%	(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
	24.2%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	20.3%	(/.f64 (/.f64 2 alpha) 2)
▶	80.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 -1 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2)
▶	80.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)) (.f64 (+.f64 1 (.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))) 2)
✓	80.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	20.3%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (-.f64 -2 beta) alpha)))) 2)
	21.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
	20.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))) 2)
	76.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
	18.8%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	18.8%	(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2)
✓	79.7%	(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
▶	76.5%	(/.f64 (-.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2))) 1) 2)
✓	54.2%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	51.0%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	79.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	76.5%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	19.2%	(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
	29.8%	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	79.7%	(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2) -1) (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 3))) (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2) (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))) 2)
▶	52.4%	(/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) -1)) 2)
✓	38.1%	(/.f64 2 2)
▶	52.6%	(/.f64 1 2)

Compiler

Compiled 1307 to 951 computations (27.2% saved)

localize101.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
✓	99.9%	(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)
✓	99.9%	(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)
✓	98.9%	(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6))

Compiler

Compiled 302 to 183 computations (39.4% saved)

series25.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	0	(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6))
2.0ms	alpha	@	inf	(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6))
2.0ms	alpha	@	-inf	(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6))
2.0ms	alpha	@	0	(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)
1.0ms	beta	@	inf	(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)

rewrite175.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1712×	`associate-/r*`
386×	`add-sqr-sqrt`
368×	`*-un-lft-identity`
364×	`add-cbrt-cube`
364×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	130
1	395	130
2	5255	130

Stop Event

1×	node limit

Counts

4 → 322

Calls

Call 1

Inputs
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6))
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)
(*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))

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

simplify318.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1502×	`associate-r`
1396×	`+-commutative`
1392×	`associate-+r+`
1124×	`associate-l`
1074×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1314	37362
1	3998	36374

Stop Event

1×	node limit

Counts

418 → 786

Calls

Call 1

Inputs
-1
(-.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) 1)
(-.f64 (+.f64 (*.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7))) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6))) 1)
(-.f64 (+.f64 (.f64 21 (/.f64 (pow.f64 alpha 8) (pow.f64 (+.f64 beta 2) 8))) (+.f64 (.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7))) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)))) 1)
(/.f64 (+.f64 (.f64 -4 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2))) alpha)
(+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 -4 (/.f64 (+.f64 beta 2) alpha))))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))))))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 4 (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 alpha 4)) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -2 (pow.f64 (+.f64 beta 2) 3)) (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)))))) (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (*.f64 16 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))))))))))))))))
(.f64 -1 (/.f64 (+.f64 12 (+.f64 (.f64 4 beta) (*.f64 2 beta))) alpha))
(+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) 2) (pow.f64 alpha 2)) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 12 (+.f64 (.f64 4 beta) (.f64 2 beta))) alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 8 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (+.f64 (.f64 2 (.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2))))) (.f64 2 (pow.f64 (+.f64 beta 2) 3)))))) (pow.f64 alpha 3))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) 2) (pow.f64 alpha 2)) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 12 (+.f64 (.f64 4 beta) (*.f64 2 beta))) alpha))))))
(+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2))) 2) (pow.f64 alpha 4)) (+.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) 2) (pow.f64 alpha 2)) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 3)) (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta (+.f64 6 (.f64 2 beta)))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 8 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (+.f64 (.f64 2 (.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2))))) (.f64 2 (pow.f64 (+.f64 beta 2) 3)))))) (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 16 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (.f64 -1 (/.f64 (+.f64 12 (+.f64 (.f64 4 beta) (.f64 2 beta))) alpha))))))))))))
(-.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 2 alpha) 6)) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 beta (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4)))))) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 2 alpha) 6))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 beta (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4)))))) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 2 alpha) 6)) (.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4)))) 2) (.f64 2 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5))) (/.f64 (.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) alpha) (+.f64 2 alpha)))) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 3))))))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 beta (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4)))))) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (.f64 (pow.f64 beta 3) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (.f64 -4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) alpha) (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 (+.f64 2 alpha) 3))) (.f64 2 (.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5))) (/.f64 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) alpha) (+.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4)))))))) (.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4)))) 2) (.f64 2 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5))) (/.f64 (.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) alpha) (+.f64 2 alpha)))) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 3)))))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 beta 6)) 1)
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3))) (.f64 -1 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)))) (pow.f64 alpha 3)) (pow.f64 beta 7)) (+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 beta 6)) (/.f64 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3))) (.f64 -1 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3))))) (pow.f64 beta 7)))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3))) (.f64 -1 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)))) (pow.f64 alpha 3)) (pow.f64 beta 7)) (+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 beta 6)) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3))) (.f64 -1 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)))) 2) (pow.f64 beta 8)) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (+.f64 (.f64 2 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))) (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha))) (pow.f64 alpha 3)) (pow.f64 beta 8))) (/.f64 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3))) (.f64 -1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3))))) (pow.f64 beta 7)))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 beta 6)) 1)
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(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (neg.f64 alpha)) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (neg.f64 alpha)) (.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (neg.f64 alpha)) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (neg.f64 alpha)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (*.f64 alpha (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (+.f64 alpha (+.f64 2 beta))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (*.f64 alpha (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) 1)) (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) -1) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) 1) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (.f64 (neg.f64 alpha) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) 1) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) 1) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) 1) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1) 1) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) 1) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) 1) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) 1)) (-.f64 -2 (+.f64 alpha beta))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) alpha) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 1) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (neg.f64 alpha)) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) 1) alpha) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) 1) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) 1) (neg.f64 alpha)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 (neg.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) -1) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (neg.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) 1) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 (neg.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (neg.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (neg.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (neg.f64 (+.f64 alpha (.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (neg.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (neg.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 1)
(pow.f64 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (log.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (log.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))
(fma.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(fma.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))

Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) 1)
(+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) -1)
(+.f64 -1 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)))
(-.f64 (+.f64 (*.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7))) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6))) 1)
(+.f64 (fma.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7)) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6))) -1)
(+.f64 -1 (fma.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7)) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6))))
(-.f64 (+.f64 (.f64 21 (/.f64 (pow.f64 alpha 8) (pow.f64 (+.f64 beta 2) 8))) (+.f64 (.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7))) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)))) 1)
(+.f64 (fma.f64 21 (/.f64 (pow.f64 alpha 8) (pow.f64 (+.f64 beta 2) 8)) (fma.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7)) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)))) -1)
(+.f64 -1 (fma.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7)) (fma.f64 21 (/.f64 (pow.f64 alpha 8) (pow.f64 (+.f64 beta 2) 8)) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)))))
(/.f64 (+.f64 (.f64 -4 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2))) alpha)
(/.f64 (*.f64 (+.f64 beta 2) -6) alpha)
(+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 -4 (/.f64 (+.f64 beta 2) alpha))))))
(fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (pow.f64 (.f64 (+.f64 beta 2) -3) 2) (.f64 alpha alpha)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (fma.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (/.f64 (+.f64 (*.f64 -4 beta) -8) alpha)))))
(+.f64 (.f64 -6 (/.f64 (+.f64 beta 2) alpha)) (fma.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (+.f64 (/.f64 (pow.f64 (.f64 (+.f64 beta 2) -3) 2) (.f64 alpha alpha)) (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha))))))
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(/.f64 (neg.f64 (+.f64 alpha (/.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha 2) beta)))) (.f64 (neg.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)))
(/.f64 (-.f64 (neg.f64 alpha) (/.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 alpha 2)))) (.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (/.f64 (neg.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (+.f64 alpha (/.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha 2) beta)))) (.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 (neg.f64 alpha) (/.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 alpha 2)))) (.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (neg.f64 (+.f64 alpha (.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (/.f64 (neg.f64 (+.f64 alpha (/.f64 (*.f64 alpha alpha) (+.f64 (+.f64 alpha 2) beta)))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (/.f64 (-.f64 (neg.f64 alpha) (/.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (neg.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (neg.f64 (+.f64 alpha (/.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha 2) beta)))) (.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 (neg.f64 alpha) (/.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 alpha 2)))) (.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (/.f64 (neg.f64 (+.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (neg.f64 (+.f64 alpha (/.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha 2) beta)))) (.f64 (neg.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)))
(/.f64 (-.f64 (neg.f64 alpha) (/.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 alpha 2)))) (.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 1)
(+.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 2))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(pow.f64 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2)
(pow.f64 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) 2)
(pow.f64 (hypot.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 3)
(+.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 2))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 3) 1/3)
(+.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 2))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 2)) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))
(*.f64 (+.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (log.f64 (exp.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))))
(*.f64 (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (log.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))
(+.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 2))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 3))
(+.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 2))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 3) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 3) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))
(+.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 2))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(exp.f64 (-.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (log.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (log.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) alpha))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (log.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha))) 1))
(exp.f64 (-.f64 (log1p.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (log.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) alpha))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))
(+.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 2))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(fma.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(fma.f64 alpha (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 2))
(fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(fma.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 2))
(fma.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(fma.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(fma.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 2))
(fma.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 2))
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) 2) (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))

localize3.0ms (0%)

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

localize16.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 40 to 30 computations (25% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1048×	`associate-/r*`
982×	`*-commutative`
796×	`associate-/l*`
720×	`distribute-lft-in`
670×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	213	32
2	3040	32

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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

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

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1754×	`associate-/r*`
1228×	`associate-+l+`
1224×	`associate-+r+`
644×	`+-commutative`
400×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	6685
1	1094	6203
2	4499	6137

Stop Event

1×	node limit

Counts

159 → 258

Calls

Call 1

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

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

localize116.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.9%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
✓	99.8%	(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))
	97.3%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
✓	89.2%	(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) -1)

Compiler

Compiled 195 to 108 computations (44.6% saved)

series10.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`distribute-lft-neg-in`
664×	`distribute-rgt-neg-in`
394×	`distribute-neg-frac`
336×	`+-commutative`
334×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	112
1	317	68
2	4954	68

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify177.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

954×	`associate-+r-`
626×	`+-commutative`
614×	`fma-def`
588×	`associate-/l*`
560×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	506	15605
1	1657	13957
2	7444	13957

Stop Event

1×	node limit

Counts

139 → 264

Calls

Call 1

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

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

localize66.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
	99.9%	(*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
	99.9%	(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)
✓	98.7%	(-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))

Compiler

Compiled 214 to 127 computations (40.7% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	inf	(-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))
1.0ms	alpha	@	-inf	(-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))
1.0ms	beta	@	0	(-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))
0.0ms	beta	@	inf	(-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))
0.0ms	beta	@	-inf	(-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`associate-/r*`
1210×	`distribute-lft-in`
826×	`associate-/l*`
624×	`associate-/r/`
282×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	280	31
2	3798	31

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

Outputs

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

simplify136.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1870×	`associate-*r/`
692×	`associate-+l-`
632×	`associate-+r-`
516×	`fma-def`
442×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	6798
1	1086	6336
2	4707	6324

Stop Event

1×	node limit

Counts

76 → 164

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)))))
(+.f64 1 (+.f64 (.f64 -6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))))))
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 4 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2))) alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (.f64 -2 (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 4 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (.f64 -2 (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 8 (pow.f64 (+.f64 beta 2) 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (.f64 4 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 4 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2))) alpha)))))
(/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 6 (/.f64 1 alpha)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 6 (/.f64 1 alpha)))))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 8 (pow.f64 (+.f64 beta 2) 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (.f64 2 (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (.f64 6 (/.f64 1 alpha))))))))))
(-.f64 1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4)))))) 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5))) (/.f64 (.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) alpha) (+.f64 2 alpha)))))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (.f64 -4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) alpha) (pow.f64 (+.f64 2 alpha) 2)))))))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5))) (/.f64 (.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) alpha) (+.f64 2 alpha))))))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3))) (.f64 -1 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)))) (pow.f64 beta 4)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha) (.f64 2 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))))) (pow.f64 beta 5))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3))) (.f64 -1 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)))) (pow.f64 beta 4))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3))) (.f64 -1 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)))) (pow.f64 beta 4)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (pow.f64 beta 5))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (pow.f64 beta 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3))) (.f64 -1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)))) (pow.f64 beta 4))))))))
(+.f64 1 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) 1))
(+.f64 1 (.f64 1 (.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) 1)))
(+.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) 1)
(+.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) 1) 1)
(+.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) 1)
(*.f64 1 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9)) (-.f64 1 (.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))))) (-.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) 3))) (-.f64 (+.f64 1 (.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))))
(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9)))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9))) (.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9) 3)) (.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) 3)) (.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9)) 1) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) 3))
(expm1.f64 (log.f64 (-.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))

Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 1 (neg.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(-.f64 1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (*.f64 3 (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 4))))
(+.f64 1 (-.f64 (/.f64 (*.f64 3 (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 1 (+.f64 (.f64 -6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))))))
(+.f64 1 (fma.f64 -6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (*.f64 3 (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 4)))))
(+.f64 1 (fma.f64 -6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (-.f64 (/.f64 (*.f64 3 (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha))
(neg.f64 (/.f64 (*.f64 (+.f64 beta 2) -3) alpha))
(/.f64 (*.f64 (fma.f64 -1 beta -2) -3) alpha)
(/.f64 (-.f64 -2 beta) (/.f64 alpha -3))
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(-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))
(expm1.f64 (log.f64 (-.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(expm1.f64 (log.f64 (-.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))
(expm1.f64 (log.f64 (-.f64 2 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) 1))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
(-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))

eval3.6s (16.7%)

Compiler: Compiled 156585 to 107819 computations (31.1% saved)

prune1.5s (7%)

Pruning

34 alts after pruning (25 fresh and 9 done)

	Pruned	Kept	Total
New	2446	8	2454
Fresh	1	17	18
Picked	0	1	1
Done	1	8	9
Total	2448	34	2482

Accurracy

99.9%

Counts

2482 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
	22.1%	(/.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha))) (.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)))) 2)
▶	79.8%	(/.f64 (/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
	79.7%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 -3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
	54.2%	(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
▶	24.2%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	20.3%	(/.f64 (/.f64 2 alpha) 2)
▶	80.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 18)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 12) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 6)))) (.f64 (+.f64 1 (.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))) 2)
✓	80.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 -1 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2)
✓	80.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)) (.f64 (+.f64 1 (.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))) 2)
	80.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))) (-.f64 -1 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2)
✓	80.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	20.3%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (-.f64 -2 beta) alpha)))) 2)
	21.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
	20.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))) 2)
	76.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
	18.8%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
▶	52.2%	(/.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 -1 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2)
	18.8%	(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2)
✓	79.7%	(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
	49.4%	(/.f64 (-.f64 (+.f64 2 (*.f64 1/2 beta)) 1) 2)
	30.1%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	54.2%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	51.0%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	79.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	76.5%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	19.2%	(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
	29.8%	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	49.4%	(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
	22.1%	(/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (-.f64 (-.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 (.f64 beta -2) alpha)) (/.f64 (+.f64 4 (.f64 2 beta)) (/.f64 (.f64 alpha alpha) (-.f64 (.f64 beta -2) (+.f64 4 (.f64 2 beta)))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha))))) 2)
✓	52.4%	(/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) -1)) 2)
	51.4%	(/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) -1)) (+.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) -1)) 2)
✓	38.1%	(/.f64 2 2)
✓	52.6%	(/.f64 1 2)

Compiler

Compiled 1633 to 1187 computations (27.3% saved)

localize192.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 6)
✓	99.8%	(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 12)
✓	99.8%	(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 18)
✓	98.9%	(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 18))

Compiler

Compiled 465 to 304 computations (34.6% saved)

series54.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
13.0ms	alpha	@	-inf	(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 18))
7.0ms	alpha	@	0	(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 18)
6.0ms	alpha	@	inf	(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 18))
5.0ms	beta	@	inf	(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 12)
4.0ms	beta	@	0	(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 18))

rewrite146.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1222×	`distribute-lft-in`
1100×	`associate-/r*`
792×	`associate-/l*`
552×	`associate-/r/`
370×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	106
1	371	106
2	4785	106

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

Inputs
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 18))
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 18)
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 12)
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 6)

Outputs
((-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) 2) (-.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) 1) (-.f64 (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (-.f64 (+.f64 -1 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) 1) (.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) 1) (.f64 1 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))))) (.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9) 1)) (.f64 (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54))) (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36) (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))))) (.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)) (-.f64 1 (.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))))) (-.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)))) (.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) 3))) (+.f64 1 (-.f64 (.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))))) (/.f64 1 (/.f64 1 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))))) (/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54))))) (/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)))) (/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36) 1) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) -1)) (/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54))) (.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)))) (/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)))) (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54) 3)) (.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (+.f64 1 (-.f64 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)) (.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)))))) (/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36) 3)) (.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)))))) (/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (neg.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) 1) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) (sqrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (sqrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) (cbrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))))) (cbrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)) 1) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)))) (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))))) (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))))) (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) 1) (pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) 2) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) 3) (pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) 3) 1/3) (sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) 2)) (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))))) (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) 3)) (expm1.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (exp.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (exp.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) 1)) (log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) -1) (fma.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) -1) (fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9) -1))
((-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) 1) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) 1) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)) (.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9)) (.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 24)) (.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (.f64 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (.f64 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (.f64 (pow.f64 alpha 18) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 18)) (.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 18) (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 18)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) 18) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 18)) (sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) (log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)) (expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) (exp.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) (exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) 1)) (log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))))
((-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))) 1) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12) 1) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 24))) (.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 24)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))) (.f64 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (.f64 (pow.f64 alpha 12) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 12)) (.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 12) (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 12)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) 12) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 12)) (sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 24)) (log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))) (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)))) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) (expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))) (exp.f64 (.f64 12 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (exp.f64 (.f64 (.f64 12 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1)) (log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))))
((-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) 1) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) 1) (.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 24))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)))) (.f64 (pow.f64 alpha 6) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 6)) (.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 6) (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 6)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) 6) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 6)) (sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)) (fabs.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) (expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (exp.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) 1)) (log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))))

simplify242.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1888×	`distribute-lft-in`
1478×	`associate-l`
902×	`associate-/l*`
856×	`+-commutative`
826×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1273	31669
1	4367	30585

Stop Event

1×	node limit

Counts

209 → 382

Calls

Call 1

Inputs
-1
-1
-1
(-.f64 (/.f64 (pow.f64 alpha 18) (pow.f64 (+.f64 beta 2) 18)) 1)
(/.f64 (+.f64 (.f64 -16 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2))) alpha)
(+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -8 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (+.f64 (.f64 -16 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 16 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))))
(+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -8 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (+.f64 (.f64 -16 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -32 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -16 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 32 (pow.f64 (+.f64 beta 2) 2)) (.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -16 (/.f64 (.f64 (+.f64 (.f64 8 (pow.f64 (+.f64 beta 2) 2)) (.f64 2 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -8 (+.f64 beta 2))) (+.f64 (.f64 8 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 32 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (*.f64 16 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))))))))))))
(+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -8 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (+.f64 (.f64 -16 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 (.f64 8 (pow.f64 (+.f64 beta 2) 2)) (.f64 2 (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 alpha 4))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 32 (pow.f64 (+.f64 beta 2) 2)) (.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 16 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 8 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 32 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)))) 2) (pow.f64 alpha 4)) (+.f64 (.f64 32 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 32 (pow.f64 (+.f64 beta 2) 2)) (.f64 4 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) 2) (pow.f64 alpha 4))) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 -32 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -16 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -8 (.f64 (+.f64 (.f64 8 (pow.f64 (+.f64 beta 2) 2)) (.f64 2 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 32 (pow.f64 (+.f64 beta 2) 2)) (.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (+.f64 (.f64 -8 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -16 (pow.f64 (+.f64 beta 2) 3)) (.f64 -8 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)))))))) (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -8 (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (.f64 64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 beta 2) (+.f64 (.f64 -8 (.f64 (+.f64 (.f64 8 (pow.f64 (+.f64 beta 2) 2)) (.f64 2 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (+.f64 (.f64 -16 (pow.f64 (+.f64 beta 2) 3)) (.f64 -8 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)))))) (pow.f64 alpha 4))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 -16 (/.f64 (.f64 (+.f64 (.f64 8 (pow.f64 (+.f64 beta 2) 2)) (.f64 2 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -8 (+.f64 beta 2))) (+.f64 (.f64 8 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 32 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (.f64 16 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 -16 (/.f64 (.f64 (+.f64 (.f64 -4 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (.f64 -8 (pow.f64 (+.f64 beta 2) 3))) (+.f64 beta 2)) (pow.f64 alpha 4))))))))))))))))))))))))))))
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(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54))) (.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54) 3)) (.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (+.f64 1 (-.f64 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)) (*.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36) 3)) (.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))) (neg.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) 1) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) (sqrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))) (sqrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)) (*.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) (cbrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))))) (cbrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)) 1) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36)))))
(pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) 1)
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) 2))
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) 3))
(expm1.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) 1))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))))
(fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) -1)
(fma.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) -1)
(fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))) 1)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18) 1)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))
(*.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9))
(.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 24)) (.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))
(.f64 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))
(.f64 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (pow.f64 alpha 18) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 18))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 18) (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 18))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) 18) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 18))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))) 1)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12) 1)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))
(*.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))
(.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 24)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 24)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)))
(.f64 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (pow.f64 alpha 12) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 12))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 12) (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 12))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) 12) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 12))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 24))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)))
(exp.f64 (*.f64 12 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (.f64 (.f64 12 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) 1)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) 1)
(*.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 24))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))))
(*.f64 (pow.f64 alpha 6) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 6))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 6) (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) 6) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 6))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))
(fabs.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))

Outputs
-1
-1
-1
(-.f64 (/.f64 (pow.f64 alpha 18) (pow.f64 (+.f64 beta 2) 18)) 1)
(+.f64 (/.f64 (pow.f64 alpha 18) (pow.f64 (+.f64 beta 2) 18)) -1)
(/.f64 (+.f64 (.f64 -16 (+.f64 beta 2)) (.f64 -2 (+.f64 beta 2))) alpha)
(/.f64 (*.f64 (+.f64 beta 2) -18) alpha)
(/.f64 (+.f64 beta 2) (/.f64 alpha -18))
(+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -8 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (+.f64 (.f64 -16 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 16 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))))
(+.f64 (/.f64 (pow.f64 (.f64 (+.f64 beta 2) -9) 2) (.f64 alpha alpha)) (fma.f64 -16 (/.f64 (+.f64 beta 2) alpha) (fma.f64 64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)) 24))))))
(+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -8 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (+.f64 (.f64 -16 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -32 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -16 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 32 (pow.f64 (+.f64 beta 2) 2)) (.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -16 (/.f64 (.f64 (+.f64 (.f64 8 (pow.f64 (+.f64 beta 2) 2)) (.f64 2 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -8 (+.f64 beta 2))) (+.f64 (.f64 8 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 32 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (*.f64 16 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))))))))))))
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1
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(.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 24)) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12))))
(.f64 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))
(.f64 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12) (.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(*.f64 (pow.f64 alpha 18) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 18))
(*.f64 (pow.f64 alpha 18) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 18))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 18) (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 18))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 36)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) 18) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 18))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) 18) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 18))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 36))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 54))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 54))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)) 1))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))) 1)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12) 1)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)
(*.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 9) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
(.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 24)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 24)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 24)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 24)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)))
(.f64 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)) (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(*.f64 (pow.f64 alpha 12) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 12))
(*.f64 (pow.f64 alpha 12) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 12))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 12) (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 12))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 24)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) 12) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 12))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) 12) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 12))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 24))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 24))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 36))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 36))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)
(exp.f64 (*.f64 12 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(pow.f64 (exp.f64 12) (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (.f64 (.f64 12 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1))
(pow.f64 (exp.f64 12) (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) 1)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6) 1)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(*.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 24))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 24))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12))))
(*.f64 (pow.f64 alpha 6) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 6))
(*.f64 (pow.f64 alpha 6) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 6))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 6) (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 6))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 12)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) 6) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) 6) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 6))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 12))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12))
(fabs.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))
(fabs.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 18))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) 1))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)

localize5.0ms (0%)

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

localize15.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1958×	`add-sqr-sqrt`
1936×	`*-un-lft-identity`
1814×	`add-cube-cbrt`
1796×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	176	15
2	2351	15

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1000×	`associate-+r+`
782×	`associate-+l+`
750×	`*-commutative`
578×	`associate-*r/`
400×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	972
1	214	960
2	838	732
3	3745	732

Stop Event

1×	node limit

Counts

44 → 44

Calls

Call 1

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

localize46.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
✓	99.9%	(/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
✓	98.6%	(-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
✓	97.3%	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))

Compiler

Compiled 174 to 87 computations (50% saved)

series36.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	beta	@	-inf	(-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
5.0ms	alpha	@	0	(-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
3.0ms	alpha	@	inf	(/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
3.0ms	beta	@	0	(/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
3.0ms	alpha	@	0	(/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))

rewrite125.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`+-commutative`
444×	`add-sqr-sqrt`
434×	`pow1`
434×	`*-un-lft-identity`
420×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	190
1	424	190
2	6540	190

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

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

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

simplify957.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1398×	`+-commutative`
1298×	`associate-r`
1058×	`associate-l`
874×	`associate-+r+`
792×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1030	34352
1	3456	34068

Stop Event

1×	node limit

Counts

254 → 493

Calls

Call 1

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

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

localize85.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.9%	(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)
	98.7%	(-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))
✓	98.5%	(/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)
✓	97.6%	(/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))

Compiler

Compiled 259 to 160 computations (38.2% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`associate-*l/`
1404×	`associate-/l*`
952×	`*-commutative`
628×	`associate-/r/`
404×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	205	44
2	2813	38

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

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

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

simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-/r/`
520×	`*-commutative`
500×	`distribute-lft-neg-out`
496×	`associate-r`
488×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	6225
1	1161	5637
2	4576	5537

Stop Event

1×	node limit

Counts

189 → 235

Calls

Call 1

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

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

eval3.3s (15.5%)

Compiler: Compiled 145588 to 102764 computations (29.4% saved)

prune617.0ms (2.9%)

Pruning

38 alts after pruning (25 fresh and 13 done)

	Pruned	Kept	Total
New	1672	6	1678
Fresh	1	19	20
Picked	1	0	1
Done	0	13	13
Total	1674	38	1712

Accurracy

99.9%

Counts

1712 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
	79.8%	(/.f64 (/.f64 (-.f64 4 (+.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
✓	79.8%	(/.f64 (/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
	79.7%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 -3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
	54.2%	(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
✓	24.2%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	79.8%	(/.f64 (/.f64 (log.f64 (exp.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
✓	20.3%	(/.f64 (/.f64 2 alpha) 2)
✓	80.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 18)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 12) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 6)))) (.f64 (+.f64 1 (.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))) 2)
✓	80.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 -1 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2)
✓	80.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)) (.f64 (+.f64 1 (.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))) 2)
	80.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))) (-.f64 -1 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2)
✓	80.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	20.3%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (-.f64 -2 beta) alpha)))) 2)
	21.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
	20.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))) 2)
	76.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
	18.8%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	39.5%	(/.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 beta (fma.f64 4 (/.f64 alpha beta) (/.f64 (.f64 alpha alpha) beta)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 -1 (.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2)
	52.3%	(/.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 beta (.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 alpha 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 -1 (.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2)
	18.8%	(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2)
✓	79.7%	(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
	49.4%	(/.f64 (-.f64 (+.f64 2 (*.f64 1/2 beta)) 1) 2)
	30.1%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	54.2%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	51.0%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	79.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	76.5%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	19.2%	(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
	24.2%	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
	29.8%	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	49.4%	(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
	22.1%	(/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (-.f64 (-.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 (.f64 beta -2) alpha)) (/.f64 (+.f64 4 (.f64 2 beta)) (/.f64 (.f64 alpha alpha) (-.f64 (.f64 beta -2) (+.f64 4 (.f64 2 beta)))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha))))) 2)
✓	52.4%	(/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) -1)) 2)
	51.4%	(/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) -1)) (+.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) -1)) 2)
	8.1%	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	38.1%	(/.f64 2 2)
✓	52.6%	(/.f64 1 2)

Compiler

Compiled 1054 to 758 computations (28.1% saved)

regimes154.0ms (0.7%)

Counts

49 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 (+.f64 2 (*.f64 1/2 beta)) 1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2))) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) -1)) (+.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) -1)) 2)
(/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) -1)) 2)
(/.f64 (/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
(/.f64 (/.f64 (-.f64 4 (+.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
(/.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2)
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 -3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 -1 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2)
(/.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 beta (.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 alpha 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 -1 (.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2)
(/.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha))) (.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)))) 2)
(/.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 -1 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2)
(/.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 beta (fma.f64 4 (/.f64 alpha beta) (/.f64 (.f64 alpha alpha) beta)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 -1 (.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)) (.f64 (+.f64 1 (.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))) 2)
(/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (-.f64 (-.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 (.f64 beta -2) alpha)) (/.f64 (+.f64 4 (.f64 2 beta)) (/.f64 (.f64 alpha alpha) (-.f64 (.f64 beta -2) (+.f64 4 (.f64 2 beta)))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha))))) 2)
(/.f64 (-.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)))) 2)
(/.f64 (/.f64 (log.f64 (exp.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))) (-.f64 -1 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2)
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2) -1) (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 3))) (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2) (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 18)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 12) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 6)))) (.f64 (+.f64 1 (.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (-.f64 -2 beta) alpha)))) 2)
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))) 2)
(/.f64 (+.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)))))) 2)

Outputs

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

(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 18)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 12) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 6)))) (*.f64 (+.f64 1 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))) 2)

Calls

5 calls:

56.0ms	alpha
24.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
21.0ms	beta
12.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
9.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
95.2%	2	`alpha`
80.5%	1	`beta`
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 1400 to 944 computations (32.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999987593	-0.9999908212647858

Compiler

Compiled 20 to 15 computations (25% saved)

regimes133.0ms (0.6%)

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

50.0ms	alpha
23.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
20.0ms	beta
9.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
95.2%	2	`alpha`
80.5%	1	`beta`
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 1111 to 733 computations (34% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999987593	-0.9999908212647858

Compiler

Compiled 20 to 15 computations (25% saved)

regimes126.0ms (0.6%)

Counts

42 → 2

Calls

Call 1

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

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

Calls

5 calls:

48.0ms	alpha
21.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
18.0ms	beta
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
95.2%	2	`alpha`
80.5%	1	`beta`
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 1009 to 665 computations (34.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999987593	-0.9999908212647858

Compiler

Compiled 20 to 15 computations (25% saved)

regimes66.0ms (0.3%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

5 calls:

27.0ms	alpha
13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms	beta
6.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
95.2%	2	`alpha`
79.8%	1	`beta`
99.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 227 to 172 computations (24.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999987593	-0.9999908212647858

Compiler

Compiled 20 to 15 computations (25% saved)

regimes58.0ms (0.3%)

Counts

17 → 4

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	alpha
18.0ms	beta

Results

Accuracy	Segments	Branch
94.3%	4	`alpha`
78.5%	2	`beta`

Compiler

Compiled 147 to 118 computations (19.7% saved)

bsearch47.0ms (0.2%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	6.553907777892259e+59	2.5551344233452615e+61
18.0ms	107335909160778.31	1.0502888055399964e+24
15.0ms	1.3427946898109063e-15	2.7065877400612432e-11

Results

40.0ms	397×	body	256	valid
1.0ms	3×	body	512	valid

Compiler

Compiled 688 to 583 computations (15.3% saved)

regimes59.0ms (0.3%)

Counts

15 → 4

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	alpha
14.0ms	beta

Results

Accuracy	Segments	Branch
94.1%	4	`alpha`
78.5%	2	`beta`

Compiler

Compiled 121 to 98 computations (19% saved)

bsearch59.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
24.0ms	7.63926941376491e+67	6.028882817608256e+75
20.0ms	107335909160778.31	1.0502888055399964e+24
15.0ms	1.3427946898109063e-15	2.7065877400612432e-11

Results

36.0ms	333×	body	256	valid
17.0ms	99×	body	512	valid

Compiler

Compiled 706 to 574 computations (18.7% saved)

regimes57.0ms (0.3%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	alpha
14.0ms	beta

Results

Accuracy	Segments	Branch
94.1%	4	`alpha`
78.5%	2	`beta`

Compiler

Compiled 110 to 90 computations (18.2% saved)

bsearch60.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
24.0ms	7.63926941376491e+67	6.028882817608256e+75
18.0ms	107335909160778.31	1.0502888055399964e+24
17.0ms	1.3427946898109063e-15	2.7065877400612432e-11

Results

36.0ms	333×	body	256	valid
18.0ms	99×	body	512	valid

Compiler

Compiled 668 to 555 computations (16.9% saved)

regimes37.0ms (0.2%)

Counts

11 → 4

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	alpha
12.0ms	beta

Results

Accuracy	Segments	Branch
89.8%	4	`alpha`
78.5%	2	`beta`

Compiler

Compiled 79 to 66 computations (16.5% saved)

bsearch57.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
23.0ms	7.63926941376491e+67	6.028882817608256e+75
19.0ms	107335909160778.31	1.0502888055399964e+24
15.0ms	1.3427946898109063e-15	2.7065877400612432e-11

Results

34.0ms	340×	body	256	valid
16.0ms	92×	body	512	valid

Compiler

Compiled 632 to 528 computations (16.5% saved)

regimes18.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	alpha
6.0ms	beta

Results

Accuracy	Segments	Branch
88.0%	2	`alpha`
76.5%	1	`beta`

Compiler

Compiled 61 to 51 computations (16.4% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	7.63926941376491e+67	6.028882817608256e+75

Results

17.0ms	93×	body	512	valid
5.0ms	51×	body	256	valid

Compiler

Compiled 200 to 168 computations (16% saved)

regimes30.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	alpha
9.0ms	beta

Results

Accuracy	Segments	Branch
70.2%	4	`alpha`
75.7%	2	`beta`

Compiler

Compiled 52 to 44 computations (15.4% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.0003214791615563884	25716.729347780984

Results

11.0ms	112×	body	256	valid
6.0ms	16×	body	1024	valid
3.0ms	15×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 200 to 177 computations (11.5% saved)

regimes28.0ms (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 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)

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

Calls

2 calls:

16.0ms	alpha
10.0ms	beta

Results

Accuracy	Segments	Branch
70.2%	4	`alpha`
75.7%	2	`beta`

Compiler

Compiled 45 to 38 computations (15.6% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.0003214791615563884	25716.729347780984

Results

10.0ms	100×	body	256	valid
7.0ms	28×	body	1024	valid
3.0ms	15×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 164 to 150 computations (8.5% saved)

regimes23.0ms (0.1%)

Accuracy

Total -46.6b remaining (-290.1%)

Threshold costs -46.6b (-290.1%)

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 2 (/.f64 beta alpha)) 2)

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

Calls

2 calls:

14.0ms	alpha
8.0ms	beta

Results

Accuracy	Segments	Branch
69.7%	4	`alpha`
74.9%	2	`beta`

Compiler

Compiled 31 to 26 computations (16.1% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.0003214791615563884	25716.729347780984

Results

11.0ms	105×	body	256	valid
6.0ms	26×	body	1024	valid
2.0ms	10×	body	512	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

96×	`+-commutative`
52×	`sub-neg`
48×	`*-commutative`
36×	`neg-sub0`
34×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	134	1323
1	185	1319
2	233	1319
3	271	1319
4	305	1319
5	317	1319
6	321	1319
7	322	1319

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 2 (.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 18)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 12) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 6)))) (.f64 (+.f64 1 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))) (-.f64 -1 (.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 4332790137498831/618970019642690137449562112) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 108000000000000) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 659999999999999988004224686658250668070295249011277693976576) (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))))
(if (<=.f64 alpha 6189700196426901/309485009821345068724781056) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 108000000000000) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 78000000000000001347308329073967925707502190092184133602716610985984) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))))
(if (<=.f64 alpha 7737125245533627/309485009821345068724781056) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 222000000000000) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 78000000000000001347308329073967925707502190092184133602716610985984) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))))
(if (<=.f64 alpha 8356095265176317/618970019642690137449562112) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 110000000000000) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 250000000000000018132859095382308781539593602411630488879552538869760) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha 99999999999999995280522225138166806691251291352861698530421623488512) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 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 2 (.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 18)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 12) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 6)))) (.f64 (+.f64 1 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 18)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 12) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 6)))) (.f64 (+.f64 1 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 18)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 12) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 6)))) (.f64 (+.f64 1 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))) (-.f64 -1 (.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (-.f64 -1 (.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 -1 (.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (-.f64 -1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 4332790137498831/618970019642690137449562112) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 108000000000000) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 659999999999999988004224686658250668070295249011277693976576) (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))))
(if (<=.f64 alpha 4332790137498831/618970019642690137449562112) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (<=.f64 alpha 108000000000000) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 659999999999999988004224686658250668070295249011277693976576) (/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (.f64 alpha 2)) beta))) 2) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2))))
(if (<=.f64 alpha 4332790137498831/618970019642690137449562112) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (<=.f64 alpha 108000000000000) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 659999999999999988004224686658250668070295249011277693976576) (/.f64 (-.f64 2 (/.f64 (+.f64 2 (.f64 alpha 2)) beta)) 2) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2))))
(if (<=.f64 alpha 4332790137498831/618970019642690137449562112) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (<=.f64 alpha 108000000000000) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 659999999999999988004224686658250668070295249011277693976576) (/.f64 (+.f64 2 (/.f64 (-.f64 -2 (.f64 alpha 2)) beta)) 2) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2))))
(if (<=.f64 alpha 6189700196426901/309485009821345068724781056) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 108000000000000) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 78000000000000001347308329073967925707502190092184133602716610985984) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))))
(if (<=.f64 alpha 6189700196426901/309485009821345068724781056) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (<=.f64 alpha 108000000000000) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 78000000000000001347308329073967925707502190092184133602716610985984) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))))
(if (<=.f64 alpha 7737125245533627/309485009821345068724781056) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 222000000000000) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 78000000000000001347308329073967925707502190092184133602716610985984) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))))
(if (<=.f64 alpha 7737125245533627/309485009821345068724781056) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (<=.f64 alpha 222000000000000) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 78000000000000001347308329073967925707502190092184133602716610985984) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))))
(if (<=.f64 alpha 8356095265176317/618970019642690137449562112) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 110000000000000) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 250000000000000018132859095382308781539593602411630488879552538869760) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha 8356095265176317/618970019642690137449562112) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (<=.f64 alpha 110000000000000) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 250000000000000018132859095382308781539593602411630488879552538869760) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha 99999999999999995280522225138166806691251291352861698530421623488512) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 99999999999999995280522225138166806691251291352861698530421623488512) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 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 1 (*.f64 beta 1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 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 507 to 379 computations (25.2% saved)

soundness619.0ms (2.9%)

Algorithm

4×	egg-herbie

Rules

1502×	`associate-r`
1396×	`+-commutative`
1392×	`associate-+r+`
1124×	`associate-l`
1074×	`*-commutative`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	25	37
2	41	37
3	69	37
4	117	37
5	255	33
6	463	33
7	845	33
8	1720	33
9	3940	33
0	12	37
1	25	37
2	41	37
3	69	37
4	117	37
5	255	33
6	463	33
7	845	33
8	1720	33
9	3940	33
0	596	12924
1	1805	12488
2	7117	12478
0	1314	37362
1	3998	36374

Stop Event

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

Compiler

Compiled 946 to 665 computations (29.7% saved)

end284.0ms (1.3%)

Compiler: Compiled 483 to 349 computations (27.7% saved)