Details

analyze36.0ms (0.3%)

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)

sample2.6s (20.1%)

Results

1.9s	6497×	body	256	valid
507.0ms	1056×	body	1024	valid
140.0ms	596×	body	512	valid
80.0ms	107×	body	2048	valid

Bogosity

preprocess80.0ms (0.6%)

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)

simplify71.0ms (0.5%)

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

74.1%

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize15.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	97.0%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series26.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	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	alpha	@	-inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))

rewrite94.0ms (0.7%)

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

simplify419.0ms (3.2%)

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)))

eval310.0ms (2.4%)

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

prune89.0ms (0.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	341	13	354
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	341	14	355

Accurracy

100.0%

Counts

355 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.1%	(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 2)
	47.6%	(/.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) 2)
	47.6%	(/.f64 (/.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)))) 2)
	29.7%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	25.6%	(/.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)
▶	49.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	23.0%	(/.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)
✓	74.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	71.9%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	74.1%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	3.6%	(/.f64 (+.f64 -1 1) 2)
	25.6%	(/.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)
▶	74.1%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
▶	36.9%	(/.f64 2 2)

Compiler

Compiled 677 to 501 computations (26% saved)

localize26.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	99.8%	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
✓	94.8%	(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)

Compiler

Compiled 63 to 39 computations (38.1% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite154.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`distribute-lft-in`
1120×	`associate-/r*`
802×	`associate-/r/`
774×	`associate-/l*`
364×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	282	75
2	4024	75

Stop Event

1×	node limit

Counts

3 → 267

Calls

Call 1

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

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

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

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

simplify220.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-/l*`
1068×	`associate-r`
998×	`associate-/r*`
952×	`*-commutative`
888×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	988	22689
1	3165	22191

Stop Event

1×	node limit

Counts

339 → 626

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

localize3.0ms (0%)

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

localize12.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 alpha (+.f64 alpha 2))
✓	97.2%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite118.0ms (0.9%)

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)))))

simplify123.0ms (1%)

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))))
(.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))))

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

localize27.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
✓	99.8%	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
✓	97.1%	(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))

Compiler

Compiled 59 to 32 computations (45.8% saved)

series14.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`associate-/r*`
1452×	`associate-/l*`
976×	`associate-/r/`
294×	`+-commutative`
292×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	87
1	274	85
2	3979	85

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

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

Outputs

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

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

simplify157.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1226×	`distribute-lft-in`
1010×	`associate-r`
944×	`*-commutative`
932×	`+-commutative`
872×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	724	17668
1	2557	17564

Stop Event

1×	node limit

Counts

196 → 354

Calls

Call 1

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

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

localize63.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	95.3%	(fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))
✓	93.0%	(-.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))))
✓	91.6%	(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))
✓	87.3%	(/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))

Compiler

Compiled 141 to 80 computations (43.3% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite182.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`associate-/l/`
426×	`add-sqr-sqrt`
416×	`*-un-lft-identity`
414×	`pow1`
394×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	186
1	415	168
2	6109	168

Stop Event

1×	node limit

Counts

4 → 234

Calls

Call 1

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

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

simplify181.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1354×	`fma-def`
770×	`associate-r`
748×	`associate-l`
676×	`+-commutative`
646×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	601	25338
1	1733	22118

Stop Event

1×	node limit

Counts

330 → 403

Calls

Call 1

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

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

eval1.1s (8.7%)

Compiler: Compiled 60885 to 41511 computations (31.8% saved)

prune647.0ms (5%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1627	13	1640
Fresh	5	3	8
Picked	1	0	1
Done	1	4	5
Total	1634	20	1654

Accurracy

100.0%

Counts

1654 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.8%	(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3) 2)
	49.8%	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) 2)
	47.6%	(/.f64 (/.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)))) 2)
	29.7%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	49.8%	(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) 2)
	23.1%	(/.f64 (/.f64 2 alpha) 2)
	27.9%	(/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha)))) 2) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) 2)
	21.8%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	21.9%	(/.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)
	5.9%	(/.f64 (-.f64 (.f64 -1 (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))))) (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta)))) 2)
✓	49.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	47.1%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	74.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	71.9%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	28.7%	(/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))) 2)
✓	74.1%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
▶	32.5%	(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
▶	49.8%	(/.f64 (exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))) 2)
✓	36.9%	(/.f64 2 2)
▶	49.0%	(/.f64 1 2)

Compiler

Compiled 716 to 540 computations (24.6% saved)

localize11.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`add-sqr-sqrt`
1540×	`*-un-lft-identity`
1452×	`add-cube-cbrt`
1438×	`add-cbrt-cube`
1428×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	137	13
2	1864	13

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1540×	`associate-r`
1304×	`associate-l`
866×	`associate-+r+`
854×	`distribute-lft-in`
816×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1249
1	309	1061
2	1107	907
3	5906	907

Stop Event

1×	node limit

Counts

45 → 67

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize50.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(*.f64 (/.f64 1 beta) (-.f64 beta alpha))

Compiler

Compiled 39 to 22 computations (43.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1860×	`add-sqr-sqrt`
1840×	`*-un-lft-identity`
1724×	`add-cube-cbrt`
1702×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	170	13
2	2276	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1476×	`associate-+r+`
1136×	`associate-r`
908×	`times-frac`
904×	`associate-l`
810×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	992
1	308	992
2	1066	992
3	7096	992

Stop Event

1×	node limit

Counts

62 → 47

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 alpha (-.f64 -2 alpha))
✓	99.9%	(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
✓	97.3%	(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))

Compiler

Compiled 35 to 25 computations (28.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
0.0ms	alpha	@	inf	(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
0.0ms	alpha	@	-inf	(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
0.0ms	alpha	@	-inf	(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
0.0ms	alpha	@	inf	(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))

rewrite142.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`associate-*r/`
834×	`*-commutative`
798×	`associate-/r*`
680×	`associate-*l/`
618×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	191	49
2	2438	49

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

Inputs
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(/.f64 alpha (-.f64 -2 alpha))

Outputs

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

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

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

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1680×	`associate-*r/`
1206×	`associate-*l/`
1190×	`associate-+l+`
826×	`associate-+r+`
662×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	416	5943
1	1142	5189
2	4065	5133

Stop Event

1×	node limit

Counts

185 → 269

Calls

Call 1

Inputs
(*.f64 -1/2 alpha)
(+.f64 (.f64 1/8 (pow.f64 alpha 2)) (.f64 -1/2 alpha))
(+.f64 (.f64 1/8 (pow.f64 alpha 2)) (+.f64 (.f64 -1/2 alpha) (*.f64 -1/24 (pow.f64 alpha 3))))
(+.f64 (.f64 1/8 (pow.f64 alpha 2)) (+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/24 (pow.f64 alpha 3)) (.f64 1/64 (pow.f64 alpha 4)))))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))
(-.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))
(-.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (.f64 2 (/.f64 1 alpha)))
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(.f64 (/.f64 (/.f64 alpha (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (-.f64 4 (.f64 alpha alpha)))) (sqrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 (/.f64 alpha (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (cbrt.f64 (-.f64 4 (.f64 alpha alpha)))) (cbrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (cbrt.f64 (-.f64 -8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))))) (*.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))))))
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)
(pow.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2)
(pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -2 alpha) alpha) -1)
(neg.f64 (/.f64 alpha (+.f64 alpha 2)))
(neg.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 alpha)))
(neg.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(neg.f64 (*.f64 alpha (/.f64 1 (+.f64 alpha 2))))
(neg.f64 (*.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))
(log.f64 (exp.f64 (/.f64 alpha (-.f64 -2 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (-.f64 -2 alpha)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(exp.f64 (log.f64 (/.f64 alpha (-.f64 -2 alpha))))
(log1p.f64 (expm1.f64 (/.f64 alpha (-.f64 -2 alpha))))

Outputs
(*.f64 -1/2 alpha)
(+.f64 (.f64 1/8 (pow.f64 alpha 2)) (.f64 -1/2 alpha))
(fma.f64 1/8 (.f64 alpha alpha) (.f64 -1/2 alpha))
(fma.f64 -1/2 alpha (.f64 1/8 (.f64 alpha alpha)))
(fma.f64 -1/2 alpha (.f64 (.f64 1/8 alpha) alpha))
(+.f64 (.f64 1/8 (pow.f64 alpha 2)) (+.f64 (.f64 -1/2 alpha) (*.f64 -1/24 (pow.f64 alpha 3))))
(fma.f64 1/8 (.f64 alpha alpha) (fma.f64 -1/2 alpha (.f64 -1/24 (pow.f64 alpha 3))))
(fma.f64 1/8 (.f64 alpha alpha) (fma.f64 -1/24 (pow.f64 alpha 3) (.f64 -1/2 alpha)))
(+.f64 (.f64 1/8 (pow.f64 alpha 2)) (+.f64 (.f64 -1/2 alpha) (+.f64 (.f64 -1/24 (pow.f64 alpha 3)) (.f64 1/64 (pow.f64 alpha 4)))))
(fma.f64 1/8 (.f64 alpha alpha) (fma.f64 -1/2 alpha (fma.f64 -1/24 (pow.f64 alpha 3) (.f64 1/64 (pow.f64 alpha 4)))))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))
(-.f64 (log.f64 2) (log.f64 alpha))
(-.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 alpha)) (/.f64 2 alpha)))
(+.f64 (-.f64 (log.f64 2) (log.f64 alpha)) (/.f64 -2 alpha))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (log.f64 2) (-.f64 (+.f64 (neg.f64 (log.f64 alpha)) (/.f64 2 (*.f64 alpha alpha))) (/.f64 2 alpha)))
(+.f64 (log.f64 2) (-.f64 (-.f64 (/.f64 2 (*.f64 alpha alpha)) (log.f64 alpha)) (/.f64 2 alpha)))
(+.f64 (log.f64 2) (-.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (log.f64 alpha))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (neg.f64 (log.f64 alpha)) (/.f64 2 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8/3 (pow.f64 alpha 3)))))
(+.f64 (log.f64 2) (-.f64 (-.f64 (/.f64 2 (*.f64 alpha alpha)) (log.f64 alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8/3 (pow.f64 alpha 3)))))
(+.f64 (log.f64 2) (-.f64 (-.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (log.f64 alpha))) (/.f64 8/3 (pow.f64 alpha 3))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))
(-.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (log.f64 -2) (-.f64 (log.f64 (/.f64 -1 alpha)) (/.f64 2 alpha)))
(+.f64 (log.f64 (/.f64 -1 alpha)) (+.f64 (log.f64 -2) (/.f64 -2 alpha)))
(+.f64 (log.f64 (/.f64 -1 alpha)) (-.f64 (log.f64 -2) (/.f64 2 alpha)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (log.f64 -2) (-.f64 (log.f64 (/.f64 -1 alpha)) (/.f64 2 alpha))))
(+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (log.f64 (/.f64 -1 alpha)) (+.f64 (log.f64 -2) (/.f64 -2 alpha))))
(+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (log.f64 (/.f64 -1 alpha)) (-.f64 (log.f64 -2) (/.f64 2 alpha))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (+.f64 (/.f64 2 alpha) (/.f64 8/3 (pow.f64 alpha 3))))
(+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (log.f64 -2) (-.f64 (log.f64 (/.f64 -1 alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8/3 (pow.f64 alpha 3))))))
(+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (log.f64 -2) (+.f64 (log.f64 (/.f64 -1 alpha)) (-.f64 (/.f64 -2 alpha) (/.f64 8/3 (pow.f64 alpha 3))))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 (*.f64 -1/2 alpha) 1)
(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 (.f64 alpha alpha) 1/4)))
(+.f64 1 (fma.f64 (.f64 alpha alpha) 1/4 (.f64 -1/2 alpha)))
(+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (.f64 (.f64 alpha alpha) 1/4))))
(+.f64 1 (fma.f64 (pow.f64 alpha 3) -1/8 (fma.f64 (.f64 alpha alpha) 1/4 (.f64 -1/2 alpha))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha))))
(exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha))))
(/.f64 2 alpha)
(+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha)))
(+.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) alpha)))
(fma.f64 (/.f64 2 (*.f64 alpha alpha)) -2 (/.f64 2 alpha))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(+.f64 (.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 2))) (+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha))))
(fma.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (.f64 alpha alpha)) (+.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) alpha))))
(fma.f64 4 (/.f64 (/.f64 2 (.f64 alpha alpha)) alpha) (fma.f64 (/.f64 2 (.f64 alpha alpha)) -2 (/.f64 2 alpha)))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 3))))
(+.f64 (.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 2))) (+.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (+.f64 (.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) (pow.f64 alpha 3))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 alpha)))) alpha)))))
(fma.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (.f64 alpha alpha)) (+.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (fma.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (pow.f64 alpha 3)) (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) alpha)))))
(+.f64 (fma.f64 (/.f64 2 (.f64 alpha alpha)) -2 (/.f64 (.f64 (/.f64 2 alpha) -8) (pow.f64 alpha 3))) (fma.f64 4 (/.f64 (/.f64 2 (*.f64 alpha alpha)) alpha) (/.f64 2 alpha)))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (+.f64 (/.f64 (/.f64 -16 alpha) (pow.f64 alpha 3)) (/.f64 8 (pow.f64 alpha 3)))))
(exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha))))
(exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha))))
(/.f64 2 alpha)
(+.f64 (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)) (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))))
(+.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) alpha)))
(fma.f64 (/.f64 2 (*.f64 alpha alpha)) -2 (/.f64 2 alpha))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(+.f64 (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)) (+.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 2)))))
(fma.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (.f64 alpha alpha)) (+.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) alpha))))
(fma.f64 4 (/.f64 (/.f64 2 (.f64 alpha alpha)) alpha) (fma.f64 (/.f64 2 (.f64 alpha alpha)) -2 (/.f64 2 alpha)))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 3))))
(+.f64 (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) alpha)) (+.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (+.f64 (.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 2))) (*.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 alpha)))) (pow.f64 alpha 3))))))
(fma.f64 4 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (.f64 alpha alpha)) (+.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (fma.f64 -8 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) (pow.f64 alpha 3)) (.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 alpha)))) alpha)))))
(+.f64 (fma.f64 (/.f64 2 (.f64 alpha alpha)) -2 (/.f64 (.f64 (/.f64 2 alpha) -8) (pow.f64 alpha 3))) (fma.f64 4 (/.f64 (/.f64 2 (*.f64 alpha alpha)) alpha) (/.f64 2 alpha)))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (+.f64 (/.f64 (/.f64 -16 alpha) (pow.f64 alpha 3)) (/.f64 8 (pow.f64 alpha 3)))))
(*.f64 -1/2 alpha)
(+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2)))
(fma.f64 -1/2 alpha (.f64 (.f64 alpha alpha) 1/4))
(fma.f64 (.f64 alpha alpha) 1/4 (.f64 -1/2 alpha))
(+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (+.f64 (.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 -1/2 alpha (.f64 (.f64 alpha alpha) 1/4)))
(fma.f64 (pow.f64 alpha 3) -1/8 (fma.f64 (.f64 alpha alpha) 1/4 (.f64 -1/2 alpha)))
(+.f64 (.f64 1/16 (pow.f64 alpha 4)) (+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 1/16 (pow.f64 alpha 4) (fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 -1/2 alpha (.f64 (.f64 alpha alpha) 1/4))))
(fma.f64 (pow.f64 alpha 4) 1/16 (fma.f64 (pow.f64 alpha 3) -1/8 (fma.f64 (.f64 alpha alpha) 1/4 (.f64 -1/2 alpha))))
-1
(-.f64 (*.f64 2 (/.f64 1 alpha)) 1)
(+.f64 (/.f64 2 alpha) -1)
(-.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (/.f64 2 alpha) (+.f64 1 (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (-.f64 -1 (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 -1 (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 1 (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (+.f64 (/.f64 2 alpha) (-.f64 -1 (/.f64 4 (*.f64 alpha alpha)))) (/.f64 8 (pow.f64 alpha 3)))
(+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) 1) (/.f64 -4 (*.f64 alpha alpha))))
-1
(-.f64 (*.f64 2 (/.f64 1 alpha)) 1)
(+.f64 (/.f64 2 alpha) -1)
(-.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (/.f64 2 alpha) (+.f64 1 (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (-.f64 -1 (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 -1 (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 1 (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (+.f64 (/.f64 2 alpha) (-.f64 -1 (/.f64 4 (*.f64 alpha alpha)))) (/.f64 8 (pow.f64 alpha 3)))
(+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) 1) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))) 0)
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)) 2)))
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))))
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))))
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 0 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)) 2))) (log.f64 (cbrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))))
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))))
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))))
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))))
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))) 1))
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))) 1))
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))) 1)
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))))) 1)
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 1 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))))
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))) 2))
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))))
(log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))))
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(/.f64 alpha (-.f64 -2 alpha))
(*.f64 (/.f64 alpha (sqrt.f64 (-.f64 -2 alpha))) (/.f64 1 (sqrt.f64 (-.f64 -2 alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 alpha))) (/.f64 alpha (sqrt.f64 (-.f64 -2 alpha))))
(/.f64 (/.f64 alpha (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -2 alpha)))
(*.f64 (/.f64 alpha (cbrt.f64 (-.f64 -2 alpha))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (/.f64 alpha (cbrt.f64 (-.f64 -2 alpha))))
(/.f64 (/.f64 alpha (cbrt.f64 (-.f64 -2 alpha))) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))
(.f64 (/.f64 1 (-.f64 4 (.f64 alpha alpha))) (*.f64 alpha (+.f64 alpha -2)))
(.f64 (/.f64 alpha (-.f64 4 (.f64 alpha 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 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))) (-.f64 -8 (pow.f64 alpha 3)))
(*.f64 (/.f64 alpha (-.f64 -8 (pow.f64 alpha 3))) (fma.f64 alpha (+.f64 alpha -2) 4))
(/.f64 (*.f64 alpha (fma.f64 alpha (+.f64 alpha -2) 4)) (-.f64 -8 (pow.f64 alpha 3)))
(.f64 (/.f64 alpha (-.f64 4 (.f64 alpha alpha))) (+.f64 alpha -2))
(.f64 (/.f64 alpha (-.f64 -8 (pow.f64 alpha 3))) (+.f64 4 (.f64 alpha (+.f64 alpha -2))))
(/.f64 (.f64 alpha (+.f64 4 (.f64 alpha (+.f64 alpha -2)))) (-.f64 -8 (pow.f64 alpha 3)))
(*.f64 (/.f64 alpha (-.f64 -8 (pow.f64 alpha 3))) (fma.f64 alpha (+.f64 alpha -2) 4))
(/.f64 (*.f64 alpha (fma.f64 alpha (+.f64 alpha -2) 4)) (-.f64 -8 (pow.f64 alpha 3)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) (neg.f64 alpha))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (-.f64 -2 alpha)))
(/.f64 alpha (-.f64 -2 alpha))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (-.f64 -2 alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (/.f64 alpha (cbrt.f64 (-.f64 -2 alpha))))
(/.f64 (/.f64 alpha (cbrt.f64 (-.f64 -2 alpha))) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (-.f64 -2 alpha))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (/.f64 alpha (cbrt.f64 (-.f64 -2 alpha))))
(/.f64 (/.f64 alpha (cbrt.f64 (-.f64 -2 alpha))) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (-.f64 -2 alpha)))
(/.f64 alpha (-.f64 -2 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (-.f64 -2 alpha))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (-.f64 -2 alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 alpha))) (/.f64 alpha (sqrt.f64 (-.f64 -2 alpha))))
(/.f64 (/.f64 alpha (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -2 alpha)))
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (-.f64 -2 alpha))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (-.f64 -2 alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 alpha))) (/.f64 alpha (sqrt.f64 (-.f64 -2 alpha))))
(/.f64 (/.f64 alpha (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -2 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)))
(/.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (-.f64 -2 alpha)))
(/.f64 alpha (-.f64 -2 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (-.f64 -2 alpha)) (cbrt.f64 alpha))
(/.f64 alpha (-.f64 -2 alpha))
(.f64 (/.f64 alpha (+.f64 -4 (.f64 alpha alpha))) (+.f64 (neg.f64 alpha) 2))
(.f64 (/.f64 alpha (+.f64 (.f64 alpha alpha) -4)) (+.f64 2 (neg.f64 alpha)))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (-.f64 2 alpha))
(.f64 (/.f64 alpha (neg.f64 (-.f64 -8 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (.f64 alpha (+.f64 alpha -2)))))
(/.f64 (.f64 alpha (-.f64 -4 (.f64 alpha (+.f64 alpha -2)))) (neg.f64 (-.f64 -8 (pow.f64 alpha 3))))
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha (-.f64 2 alpha) -4))
(/.f64 alpha (/.f64 (+.f64 (pow.f64 alpha 3) 8) (fma.f64 alpha (-.f64 2 alpha) -4)))
(.f64 (/.f64 alpha (+.f64 -8 (pow.f64 (neg.f64 alpha) 3))) (+.f64 4 (.f64 (neg.f64 alpha) (-.f64 (neg.f64 alpha) -2))))
(/.f64 (.f64 alpha (+.f64 4 (.f64 alpha (+.f64 alpha -2)))) (-.f64 -8 (pow.f64 alpha 3)))
(*.f64 (/.f64 alpha (-.f64 -8 (pow.f64 alpha 3))) (fma.f64 alpha (+.f64 alpha -2) 4))
(/.f64 (*.f64 alpha (fma.f64 alpha (+.f64 alpha -2) 4)) (-.f64 -8 (pow.f64 alpha 3)))
(*.f64 (/.f64 1 (/.f64 (-.f64 -2 alpha) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 alpha (-.f64 -2 alpha))
(.f64 (/.f64 (neg.f64 alpha) (+.f64 -4 (.f64 alpha alpha))) (+.f64 alpha -2))
(.f64 (/.f64 alpha (+.f64 (.f64 alpha alpha) -4)) (+.f64 2 (neg.f64 alpha)))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (-.f64 2 alpha))
(.f64 (/.f64 (neg.f64 alpha) (neg.f64 (-.f64 -8 (pow.f64 alpha 3)))) (+.f64 4 (.f64 alpha (+.f64 alpha -2))))
(/.f64 (.f64 alpha (+.f64 4 (.f64 alpha (+.f64 alpha -2)))) (-.f64 -8 (pow.f64 alpha 3)))
(*.f64 (/.f64 alpha (-.f64 -8 (pow.f64 alpha 3))) (fma.f64 alpha (+.f64 alpha -2) 4))
(/.f64 (*.f64 alpha (fma.f64 alpha (+.f64 alpha -2) 4)) (-.f64 -8 (pow.f64 alpha 3)))
(.f64 (/.f64 (/.f64 alpha 1) (+.f64 -4 (.f64 alpha alpha))) (+.f64 (neg.f64 alpha) 2))
(.f64 (/.f64 alpha (+.f64 (.f64 alpha alpha) -4)) (+.f64 2 (neg.f64 alpha)))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (-.f64 2 alpha))
(.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (-.f64 -8 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (.f64 alpha (+.f64 alpha -2)))))
(/.f64 (.f64 alpha (-.f64 -4 (.f64 alpha (+.f64 alpha -2)))) (neg.f64 (-.f64 -8 (pow.f64 alpha 3))))
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha (-.f64 2 alpha) -4))
(/.f64 alpha (/.f64 (+.f64 (pow.f64 alpha 3) 8) (fma.f64 alpha (-.f64 2 alpha) -4)))
(.f64 (/.f64 (/.f64 alpha 1) (+.f64 -8 (pow.f64 (neg.f64 alpha) 3))) (+.f64 4 (.f64 (neg.f64 alpha) (-.f64 (neg.f64 alpha) -2))))
(/.f64 (.f64 alpha (+.f64 4 (.f64 alpha (+.f64 alpha -2)))) (-.f64 -8 (pow.f64 alpha 3)))
(*.f64 (/.f64 alpha (-.f64 -8 (pow.f64 alpha 3))) (fma.f64 alpha (+.f64 alpha -2) 4))
(/.f64 (*.f64 alpha (fma.f64 alpha (+.f64 alpha -2) 4)) (-.f64 -8 (pow.f64 alpha 3)))
(.f64 (/.f64 (/.f64 alpha (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (-.f64 4 (.f64 alpha alpha)))) (sqrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 (/.f64 alpha (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -8 (pow.f64 alpha 3)))) (sqrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4)))
(.f64 (/.f64 alpha (.f64 (sqrt.f64 (-.f64 -2 alpha)) (sqrt.f64 (-.f64 -8 (pow.f64 alpha 3))))) (sqrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4)))
(.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (cbrt.f64 (-.f64 4 (.f64 alpha alpha)))) (cbrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 alpha (.f64 (cbrt.f64 (-.f64 4 (*.f64 alpha alpha))) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) (cbrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 alpha (.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (cbrt.f64 (-.f64 4 (*.f64 alpha alpha))))) (cbrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (cbrt.f64 (-.f64 -8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 alpha (.f64 (cbrt.f64 (-.f64 -8 (pow.f64 alpha 3))) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (/.f64 (cbrt.f64 (-.f64 -8 (pow.f64 alpha 3))) (cbrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4))))
(.f64 (/.f64 alpha (.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (cbrt.f64 (-.f64 -8 (pow.f64 alpha 3))))) (cbrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha)))))
(/.f64 alpha (-.f64 -2 alpha))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))))))
(.f64 (.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))))) (*.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))))))
(/.f64 alpha (-.f64 -2 alpha))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (cbrt.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))))))
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)
(/.f64 alpha (-.f64 -2 alpha))
(pow.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2)
(/.f64 alpha (-.f64 -2 alpha))
(pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 3)
(/.f64 alpha (-.f64 -2 alpha))
(pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3) 1/3)
(/.f64 alpha (-.f64 -2 alpha))
(pow.f64 (/.f64 (-.f64 -2 alpha) alpha) -1)
(/.f64 alpha (-.f64 -2 alpha))
(neg.f64 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
(neg.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 alpha)))
(/.f64 alpha (-.f64 -2 alpha))
(neg.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
(neg.f64 (*.f64 alpha (/.f64 1 (+.f64 alpha 2))))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
(neg.f64 (*.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
(sqrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))
(fabs.f64 (/.f64 alpha (-.f64 -2 alpha)))
(log.f64 (exp.f64 (/.f64 alpha (-.f64 -2 alpha))))
(/.f64 alpha (-.f64 -2 alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (-.f64 -2 alpha)))))
(/.f64 alpha (-.f64 -2 alpha))
(cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))
(/.f64 alpha (-.f64 -2 alpha))
(expm1.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(/.f64 alpha (-.f64 -2 alpha))
(exp.f64 (log.f64 (/.f64 alpha (-.f64 -2 alpha))))
(/.f64 alpha (-.f64 -2 alpha))
(log1p.f64 (expm1.f64 (/.f64 alpha (-.f64 -2 alpha))))
(/.f64 alpha (-.f64 -2 alpha))

localize64.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
✓	99.9%	(/.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
✓	97.3%	(-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
✓	97.2%	(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))

Compiler

Compiled 153 to 116 computations (24.2% saved)

series3.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite118.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`add-sqr-sqrt`
458×	`*-un-lft-identity`
454×	`pow1`
436×	`add-cube-cbrt`
434×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	172
1	461	138
2	6679	138

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

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

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

simplify141.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1750×	`associate-/l*`
980×	`associate-*r/`
726×	`associate-*l/`
562×	`associate-/l/`
494×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	9896
1	992	9500
2	3704	9412

Stop Event

1×	node limit

Counts

192 → 277

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)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 alpha 3)) (.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 alpha 3)) (+.f64 (.f64 -3/16 (pow.f64 alpha 4)) (*.f64 -1/4 (pow.f64 alpha 2)))))
(/.f64 4 alpha)
(-.f64 (.f64 4 (/.f64 1 alpha)) (.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 alpha))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) (.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(/.f64 4 alpha)
(-.f64 (.f64 4 (/.f64 1 alpha)) (.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 alpha))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) (.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
1
(+.f64 1 (*.f64 1/2 alpha))
(+.f64 1 (+.f64 (.f64 1/2 alpha) (.f64 -1/8 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (.f64 1/2 alpha) (+.f64 (.f64 -1/8 (pow.f64 alpha 2)) (*.f64 1/16 (pow.f64 alpha 3)))))
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 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(-.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))) 1)
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (hypot.f64 1 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))))
(.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1/4) (.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1/4) (hypot.f64 1 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2)))
(.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))))) (hypot.f64 1 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))))))
(*.f64 (cbrt.f64 (pow.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 -2 alpha)) 2)) (/.f64 1 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(.f64 (.f64 (hypot.f64 1 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1/4)) (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1/4))
(.f64 (.f64 (hypot.f64 1 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (+.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) 1) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (neg.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (neg.f64 (+.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.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))) 2) 1/2)
(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))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(fma.f64 1 (/.f64 alpha (-.f64 -2 alpha)) 1)
(fma.f64 alpha (/.f64 1 (-.f64 -2 alpha)) 1)
(fma.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1))
(+.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1)
(+.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1) 1)
(*.f64 1 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1/4) (.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1/4) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 2)))
(.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1/4)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1/4))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
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(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 2))
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(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
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(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))) 1)
(.f64 1 (sqrt.f64 (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(.f64 (sqrt.f64 (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) 1)
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1/4) (.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1/4) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) (cbrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) (hypot.f64 1 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha)))))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1/4)) (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1/4))
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(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2)))
(*.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) (neg.f64 (hypot.f64 1 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))))))
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(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1/4) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1/4) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))
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(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) -1)
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(sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3/2) (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) 3)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))

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

eval510.0ms (3.9%)

Compiler: Compiled 16650 to 13064 computations (21.5% saved)

prune238.0ms (1.8%)

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	656	4	660
Fresh	2	9	11
Picked	0	1	1
Done	1	7	8
Total	659	21	680

Accurracy

100.0%

Counts

680 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.8%	(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)) 3) 2)
	49.8%	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) 2)
	29.7%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	49.8%	(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) 2)
▶	49.8%	(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) 2)
▶	23.1%	(/.f64 (/.f64 2 alpha) 2)
	27.9%	(/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha)))) 2) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) 2)
	21.8%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
▶	21.9%	(/.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)
	5.9%	(/.f64 (-.f64 (.f64 -1 (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))))) (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta)))) 2)
✓	49.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	47.1%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	74.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	71.9%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	28.7%	(/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))) 2)
▶	32.5%	(/.f64 (+.f64 (-.f64 1 (/.f64 alpha beta)) 1) 2)
✓	74.1%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	45.4%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	49.8%	(/.f64 (exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))) 2)
✓	36.9%	(/.f64 2 2)
✓	49.0%	(/.f64 1 2)

Compiler

Compiled 623 to 483 computations (22.5% saved)

localize58.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
✓	100.0%	(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
	97.3%	(-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
	97.2%	(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))

Compiler

Compiled 149 to 112 computations (24.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`distribute-lft-in`
452×	`add-sqr-sqrt`
438×	`*-un-lft-identity`
434×	`pow1`
416×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	96
1	442	96
2	6403	38

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs

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

(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))

Outputs

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

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

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1254×	`associate-/r*`
1206×	`associate-/l*`
1006×	`associate-*r/`
904×	`distribute-lft-in`
770×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	4698
1	768	4488
2	2689	4440

Stop Event

1×	node limit

Counts

116 → 177

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 alpha 2))
(+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (.f64 1/4 (pow.f64 alpha 2)))
(+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (.f64 3/16 (pow.f64 alpha 4)) (.f64 1/4 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
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 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 0)
(+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 1))
(-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 1) 1)
(.f64 alpha (.f64 (/.f64 -1 (-.f64 -2 alpha)) (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 1)
(*.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(.f64 (.f64 alpha alpha) (*.f64 (/.f64 -1 (-.f64 -2 alpha)) (/.f64 -1 (-.f64 -2 alpha))))
(.f64 (.f64 alpha alpha) (pow.f64 (/.f64 -1 (-.f64 -2 alpha)) 2))
(.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) alpha) (/.f64 -1 (-.f64 -2 alpha)))
(.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha 2) alpha)))
(/.f64 alpha (*.f64 (/.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2)))
(/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) alpha))
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha)))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 -2 alpha)))
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (pow.f64 (-.f64 -2 alpha) 2))
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) alpha) (+.f64 alpha 2))
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 alpha)) (-.f64 -2 alpha))
(/.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha 2))) (+.f64 alpha 2))
(/.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha (+.f64 alpha 2))) (-.f64 -2 alpha))
(/.f64 (.f64 (neg.f64 alpha) 1) (.f64 (-.f64 -2 alpha) (/.f64 (+.f64 alpha 2) alpha)))
(/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (-.f64 -2 alpha) (+.f64 alpha 2)))
(/.f64 (.f64 alpha (neg.f64 alpha)) (.f64 (+.f64 alpha 2) (-.f64 -2 alpha)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)
(+.f64 (-.f64 1 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 1)
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 1) (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 alpha (-.f64 -2 alpha))) (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 1))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) 1) (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) 1))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(-.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))) 1)
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (/.f64 1 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (pow.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) -1/2))
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1/4) (.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1/4) (pow.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) -1/2)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) (pow.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) -1/2)))
(*.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 (pow.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 1/4)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (pow.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1/4) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1/4) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (pow.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) (pow.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 1/4)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(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))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))
(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))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3/2) (pow.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3/2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha)))))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(fma.f64 alpha (/.f64 1 (-.f64 -2 alpha)) 1)
(fma.f64 1 (/.f64 alpha (-.f64 -2 alpha)) 1)
(fma.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)

Outputs
(*.f64 1/4 (pow.f64 alpha 2))
(.f64 1/4 (.f64 alpha alpha))
(+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (.f64 1/4 (pow.f64 alpha 2)))
(fma.f64 -1/4 (pow.f64 alpha 3) (.f64 1/4 (.f64 alpha alpha)))
(fma.f64 1/4 (.f64 alpha alpha) (.f64 -1/4 (pow.f64 alpha 3)))
(+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 3/16 (pow.f64 alpha 4) (.f64 1/4 (.f64 alpha alpha))))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 1/4 (.f64 alpha alpha) (.f64 3/16 (pow.f64 alpha 4))))
(+.f64 (.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (.f64 3/16 (pow.f64 alpha 4)) (.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 3/16 (pow.f64 alpha 4) (.f64 1/4 (.f64 alpha alpha)))))
(fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 1/4 (.f64 alpha alpha) (.f64 3/16 (pow.f64 alpha 4)))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 1 (/.f64 4 alpha))
(+.f64 1 (/.f64 -4 alpha))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (.f64 4 (/.f64 1 alpha)))
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (/.f64 4 alpha)))
(+.f64 1 (+.f64 (/.f64 (/.f64 12 alpha) alpha) (/.f64 -4 alpha)))
(+.f64 (+.f64 1 (/.f64 -4 alpha)) (/.f64 12 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3)))))
(+.f64 1 (-.f64 (/.f64 (/.f64 12 alpha) alpha) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3)))))
(+.f64 (+.f64 1 (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 -32 (pow.f64 alpha 3)))) (/.f64 -4 alpha))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 1 (/.f64 4 alpha))
(+.f64 1 (/.f64 -4 alpha))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (.f64 4 (/.f64 1 alpha)))
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (/.f64 4 alpha)))
(+.f64 1 (+.f64 (/.f64 (/.f64 12 alpha) alpha) (/.f64 -4 alpha)))
(+.f64 (+.f64 1 (/.f64 -4 alpha)) (/.f64 12 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3)))))
(+.f64 1 (-.f64 (/.f64 (/.f64 12 alpha) alpha) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3)))))
(+.f64 (+.f64 1 (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 -32 (pow.f64 alpha 3)))) (/.f64 -4 alpha))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (*.f64 alpha -1/2))
(fma.f64 alpha -1/2 1)
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 -1/2 alpha (.f64 1/4 (.f64 alpha alpha))))
(+.f64 (.f64 1/4 (.f64 alpha alpha)) (fma.f64 alpha -1/2 1))
(+.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 1/4 (.f64 alpha alpha) (.f64 alpha -1/2)) (fma.f64 (pow.f64 alpha 3) -1/8 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)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 -2 alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 -8 (pow.f64 alpha 3)) (/.f64 -2 alpha)))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))))
(+.f64 (/.f64 16 (pow.f64 alpha 4)) (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (-.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 0)
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
(+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 1))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
(-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 1) 1)
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
(.f64 alpha (.f64 (/.f64 -1 (-.f64 -2 alpha)) (/.f64 alpha (+.f64 alpha 2))))
(.f64 alpha (.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 -1 (-.f64 -2 alpha))))
(*.f64 alpha (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 alpha)) (+.f64 alpha 2)))
(*.f64 alpha (/.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (-.f64 -2 alpha)))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 1)
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
(*.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
(.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (.f64 (/.f64 alpha (+.f64 alpha 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))))
(.f64 (/.f64 alpha (+.f64 alpha 2)) (.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)))
(.f64 (.f64 alpha alpha) (*.f64 (/.f64 -1 (-.f64 -2 alpha)) (/.f64 -1 (-.f64 -2 alpha))))
(.f64 (.f64 alpha alpha) (pow.f64 (/.f64 -1 (-.f64 -2 alpha)) 2))
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)
(.f64 (.f64 alpha alpha) (pow.f64 (/.f64 -1 (-.f64 -2 alpha)) 2))
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)
(.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
(.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) alpha) (/.f64 -1 (-.f64 -2 alpha)))
(.f64 alpha (.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 -1 (-.f64 -2 alpha))))
(*.f64 alpha (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 alpha)) (+.f64 alpha 2)))
(*.f64 alpha (/.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (-.f64 -2 alpha)))
(.f64 (.f64 (/.f64 alpha (+.f64 alpha 2)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (.f64 (/.f64 alpha (+.f64 alpha 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))))
(.f64 (/.f64 alpha (+.f64 alpha 2)) (.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 alpha (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha 2) alpha)))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
(/.f64 alpha (*.f64 (/.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
(/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) alpha))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha)))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 -2 alpha)))
(.f64 alpha (.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 -1 (-.f64 -2 alpha))))
(*.f64 alpha (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 alpha)) (+.f64 alpha 2)))
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(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2) 1/2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2))
(fabs.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) -1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2))
(fabs.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3/2) (pow.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3/2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))) 1))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(fma.f64 alpha (/.f64 1 (-.f64 -2 alpha)) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(fma.f64 1 (/.f64 alpha (-.f64 -2 alpha)) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(fma.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))

localize5.0ms (0%)

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

localize14.0ms (0.1%)

Compiler: Compiled 30 to 17 computations (43.3% saved)

localize39.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(/.f64 6 (*.f64 alpha alpha))
✓	99.2%	(/.f64 4 (*.f64 alpha alpha))
✓	93.0%	(-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
✓	89.6%	(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))

Compiler

Compiled 104 to 58 computations (44.2% saved)

series9.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	0	(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
1.0ms	beta	@	0	(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
0.0ms	beta	@	inf	(-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
0.0ms	beta	@	inf	(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
0.0ms	beta	@	0	(-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))

rewrite380.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`distribute-lft-in`
974×	`associate-/l*`
682×	`associate-/r/`
586×	`associate-/l/`
340×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	106
1	331	90
2	4772	90

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

Inputs
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 6 (*.f64 alpha alpha))

Outputs
((+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 beta (fma.f64 (neg.f64 (pow.f64 alpha -2)) 6 (.f64 6 (pow.f64 alpha -2))))) (+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 beta (fma.f64 (.f64 (pow.f64 alpha -2) -6) 1 (.f64 6 (pow.f64 alpha -2))))) (+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 beta (fma.f64 (neg.f64 (/.f64 (sqrt.f64 6) alpha)) (/.f64 (sqrt.f64 6) alpha) (.f64 6 (pow.f64 alpha -2))))) (+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 beta (fma.f64 (neg.f64 (cbrt.f64 (.f64 6 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))) (.f64 6 (pow.f64 alpha -2))))) (+.f64 (.f64 beta (/.f64 2 alpha)) (.f64 beta (.f64 (pow.f64 alpha -2) -6))) (+.f64 (.f64 beta (/.f64 2 alpha)) (.f64 beta (.f64 (.f64 (pow.f64 alpha -2) -6) 1))) (+.f64 (.f64 beta (.f64 (pow.f64 alpha -2) -6)) (.f64 beta (/.f64 2 alpha))) (+.f64 (.f64 (/.f64 2 alpha) beta) (.f64 (.f64 (pow.f64 alpha -2) -6) beta)) (+.f64 (.f64 (.f64 (pow.f64 alpha -2) -6) beta) (.f64 (/.f64 2 alpha) beta)) (+.f64 (.f64 1 (.f64 beta (/.f64 2 alpha))) (.f64 1 (.f64 beta (.f64 (pow.f64 alpha -2) -6)))) (+.f64 (.f64 1 (.f64 (/.f64 2 alpha) beta)) (.f64 1 (.f64 (.f64 (pow.f64 alpha -2) -6) beta))) (-.f64 (exp.f64 (log1p.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))) 1) (/.f64 beta (/.f64 1 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))) (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 36 (pow.f64 alpha 4))) (/.f64 (+.f64 (/.f64 2 alpha) (.f64 6 (pow.f64 alpha -2))) beta)) (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (.f64 216 (pow.f64 (pow.f64 alpha -2) 3))) (/.f64 (+.f64 (.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 36 (pow.f64 alpha 4)) (/.f64 12 (pow.f64 alpha 3)))) beta)) (/.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 6)) (/.f64 (pow.f64 alpha 3) beta)) (/.f64 (.f64 beta (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 36 (pow.f64 alpha 4)))) (+.f64 (/.f64 2 alpha) (.f64 6 (pow.f64 alpha -2)))) (/.f64 (.f64 beta (-.f64 (/.f64 8 (pow.f64 alpha 3)) (.f64 216 (pow.f64 (pow.f64 alpha -2) 3)))) (+.f64 (.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 36 (pow.f64 alpha 4)) (/.f64 12 (pow.f64 alpha 3))))) (/.f64 (.f64 beta (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 6))) (pow.f64 alpha 3)) (/.f64 (.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 36 (pow.f64 alpha 4))) beta) (+.f64 (/.f64 2 alpha) (.f64 6 (pow.f64 alpha -2)))) (/.f64 (.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (.f64 216 (pow.f64 (pow.f64 alpha -2) 3))) beta) (+.f64 (.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 36 (pow.f64 alpha 4)) (/.f64 12 (pow.f64 alpha 3))))) (/.f64 (.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 6)) beta) (pow.f64 alpha 3)) (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 1) (pow.f64 (sqrt.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))) 2) (pow.f64 (cbrt.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))) 3) (pow.f64 (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 3) 1/3) (sqrt.f64 (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 2)) (log.f64 (pow.f64 (exp.f64 beta) (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))) (log.f64 (+.f64 1 (expm1.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))))) (cbrt.f64 (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 3)) (expm1.f64 (log1p.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))) (exp.f64 (log.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))) (exp.f64 (.f64 (log.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))) 1)) (log1p.f64 (expm1.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))))
((+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 (.f64 (pow.f64 alpha -2) -4) 1)) (+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (.f64 4 (pow.f64 alpha -2))))) (+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (.f64 (pow.f64 alpha -2) -4) 1) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (.f64 4 (pow.f64 alpha -2))))) (+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (pow.f64 alpha -2) -4) (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (.f64 4 (pow.f64 alpha -2))))) (+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (.f64 (pow.f64 alpha -2) -4) 1) (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (.f64 4 (pow.f64 alpha -2))))) (+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))))) (+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (.f64 (pow.f64 alpha -2) -4) 1) (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))))) (+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (.f64 4 (pow.f64 alpha -2))))) (+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (.f64 (pow.f64 alpha -2) -4) 1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (.f64 4 (pow.f64 alpha -2))))) (+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 1 (.f64 (.f64 (pow.f64 alpha -2) -4) 1))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (.f64 4 (pow.f64 alpha -2)))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (.f64 4 (pow.f64 alpha -2)))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (.f64 4 (pow.f64 alpha -2)))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (.f64 4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (.f64 4 (pow.f64 alpha -2))))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (.f64 4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (.f64 4 (pow.f64 alpha -2))))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (.f64 4 (pow.f64 alpha -2))))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (.f64 4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (.f64 4 (pow.f64 alpha -2))))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (.f64 4 (pow.f64 alpha -2))) (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (.f64 4 (pow.f64 alpha -2))))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (.f64 4 (pow.f64 alpha -2))) (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (.f64 4 (pow.f64 alpha -2))))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (.f64 4 (pow.f64 alpha -2))))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (.f64 4 (pow.f64 alpha -2))) (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (.f64 4 (pow.f64 alpha -2))))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (.f64 4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (.f64 4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (.f64 4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (.f64 4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (.f64 4 (pow.f64 alpha -2))))) (+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 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((-.f64 (exp.f64 (log1p.f64 (.f64 4 (pow.f64 alpha -2)))) 1) (.f64 2 (.f64 (/.f64 1 alpha) (/.f64 2 alpha))) (.f64 (/.f64 2 alpha) (/.f64 2 alpha)) (.f64 4 (pow.f64 alpha -2)) (.f64 4 (.f64 (/.f64 1 alpha) (/.f64 1 alpha))) (.f64 (.f64 4 (pow.f64 alpha -2)) 1) (.f64 1 (.f64 4 (pow.f64 alpha -2))) (.f64 (sqrt.f64 (/.f64 2 alpha)) (.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha))) (.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2))) (.f64 (cbrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha))) (.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (.f64 (/.f64 4 alpha) (/.f64 1 alpha)) (.f64 (pow.f64 alpha -2) 4) (.f64 (/.f64 1 alpha) (/.f64 4 alpha)) (.f64 -4 (/.f64 1 (.f64 alpha (neg.f64 alpha)))) (.f64 (.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha))) (.f64 (.f64 (/.f64 2 alpha) 2) (/.f64 1 alpha)) (.f64 (.f64 (/.f64 2 alpha) (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 2 alpha))) (.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 4 (pow.f64 (cbrt.f64 alpha) 2))) (.f64 (/.f64 1 (.f64 alpha (neg.f64 alpha))) -4) (.f64 (/.f64 (/.f64 2 alpha) alpha) 2) (.f64 (/.f64 (/.f64 2 alpha) 1) (/.f64 2 alpha)) (.f64 (/.f64 (/.f64 2 alpha) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha))) (.f64 (/.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha))) (.f64 (/.f64 (/.f64 2 alpha) (neg.f64 alpha)) -2) (pow.f64 (/.f64 2 alpha) 2) (pow.f64 (.f64 4 (pow.f64 alpha -2)) 1) (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2))) 3) (pow.f64 (.f64 (.f64 alpha alpha) 1/4) -1) (pow.f64 (pow.f64 (.f64 4 (pow.f64 alpha -2)) 3) 1/3) (sqrt.f64 (/.f64 16 (pow.f64 alpha 4))) (log.f64 (exp.f64 (.f64 4 (pow.f64 alpha -2)))) (log.f64 (+.f64 1 (expm1.f64 (.f64 4 (pow.f64 alpha -2))))) (cbrt.f64 (pow.f64 (.f64 4 (pow.f64 alpha -2)) 3)) (expm1.f64 (log1p.f64 (.f64 4 (pow.f64 alpha -2)))) (exp.f64 (log.f64 (.f64 4 (pow.f64 alpha -2)))) (exp.f64 (.f64 (log.f64 (.f64 4 (pow.f64 alpha -2))) 1)) (log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))))
((-.f64 (exp.f64 (log1p.f64 (.f64 6 (pow.f64 alpha -2)))) 1) (.f64 6 (pow.f64 alpha -2)) (.f64 (.f64 6 (pow.f64 alpha -2)) 1) (.f64 1 (.f64 6 (pow.f64 alpha -2))) (.f64 (/.f64 (sqrt.f64 6) alpha) (/.f64 (sqrt.f64 6) alpha)) (.f64 (cbrt.f64 (.f64 6 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 36 (pow.f64 alpha 4)))) (.f64 (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))) (cbrt.f64 (.f64 6 (pow.f64 alpha -2)))) (.f64 (/.f64 6 alpha) (/.f64 1 alpha)) (.f64 (pow.f64 alpha -2) 6) (.f64 (/.f64 1 alpha) (/.f64 6 alpha)) (.f64 -6 (/.f64 1 (.f64 alpha (neg.f64 alpha)))) (.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 6 (pow.f64 (cbrt.f64 alpha) 2))) (.f64 (/.f64 1 (.f64 alpha (neg.f64 alpha))) -6) (pow.f64 (.f64 6 (pow.f64 alpha -2)) 1) (pow.f64 (/.f64 (sqrt.f64 6) alpha) 2) (pow.f64 (cbrt.f64 (.f64 6 (pow.f64 alpha -2))) 3) (pow.f64 (.f64 (.f64 alpha alpha) 1/6) -1) (pow.f64 (.f64 216 (pow.f64 (pow.f64 alpha -2) 3)) 1/3) (sqrt.f64 (/.f64 36 (pow.f64 alpha 4))) (log.f64 (pow.f64 (exp.f64 6) (pow.f64 alpha -2))) (log.f64 (+.f64 1 (expm1.f64 (.f64 6 (pow.f64 alpha -2))))) (cbrt.f64 (.f64 216 (pow.f64 (pow.f64 alpha -2) 3))) (expm1.f64 (log1p.f64 (.f64 6 (pow.f64 alpha -2)))) (exp.f64 (log.f64 (.f64 6 (pow.f64 alpha -2)))) (exp.f64 (.f64 (log.f64 (.f64 6 (pow.f64 alpha -2))) 1)) (log1p.f64 (expm1.f64 (*.f64 6 (pow.f64 alpha -2)))))

simplify209.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1726×	`associate-+r+`
1512×	`associate-+l+`
1018×	`+-commutative`
1010×	`fma-def`
686×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	498	14230
1	1386	12122
2	6056	12074

Stop Event

1×	node limit

Counts

272 → 303

Calls

Call 1

Inputs
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 -6 (/.f64 beta (pow.f64 alpha 2)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(/.f64 -4 (pow.f64 alpha 2))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 -6 beta) 4) (pow.f64 alpha 2))
(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 2 (/.f64 beta alpha))
(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 2 (/.f64 beta alpha))
(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 beta (fma.f64 (neg.f64 (pow.f64 alpha -2)) 6 (*.f64 6 (pow.f64 alpha -2)))))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 beta (fma.f64 (.f64 (pow.f64 alpha -2) -6) 1 (.f64 6 (pow.f64 alpha -2)))))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 beta (fma.f64 (neg.f64 (/.f64 (sqrt.f64 6) alpha)) (/.f64 (sqrt.f64 6) alpha) (*.f64 6 (pow.f64 alpha -2)))))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 beta (fma.f64 (neg.f64 (cbrt.f64 (.f64 6 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))) (.f64 6 (pow.f64 alpha -2)))))
(+.f64 (.f64 beta (/.f64 2 alpha)) (.f64 beta (*.f64 (pow.f64 alpha -2) -6)))
(+.f64 (.f64 beta (/.f64 2 alpha)) (.f64 beta (.f64 (.f64 (pow.f64 alpha -2) -6) 1)))
(+.f64 (.f64 beta (.f64 (pow.f64 alpha -2) -6)) (*.f64 beta (/.f64 2 alpha)))
(+.f64 (.f64 (/.f64 2 alpha) beta) (.f64 (*.f64 (pow.f64 alpha -2) -6) beta))
(+.f64 (.f64 (.f64 (pow.f64 alpha -2) -6) beta) (*.f64 (/.f64 2 alpha) beta))
(+.f64 (.f64 1 (.f64 beta (/.f64 2 alpha))) (.f64 1 (.f64 beta (*.f64 (pow.f64 alpha -2) -6))))
(+.f64 (.f64 1 (.f64 (/.f64 2 alpha) beta)) (.f64 1 (.f64 (*.f64 (pow.f64 alpha -2) -6) beta)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))) 1)
(/.f64 beta (/.f64 1 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))
(/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 36 (pow.f64 alpha 4))) (/.f64 (+.f64 (/.f64 2 alpha) (.f64 6 (pow.f64 alpha -2))) beta))
(/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (.f64 216 (pow.f64 (pow.f64 alpha -2) 3))) (/.f64 (+.f64 (.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 36 (pow.f64 alpha 4)) (/.f64 12 (pow.f64 alpha 3)))) beta))
(/.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (*.f64 alpha 6)) (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (.f64 beta (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 36 (pow.f64 alpha 4)))) (+.f64 (/.f64 2 alpha) (*.f64 6 (pow.f64 alpha -2))))
(/.f64 (.f64 beta (-.f64 (/.f64 8 (pow.f64 alpha 3)) (.f64 216 (pow.f64 (pow.f64 alpha -2) 3)))) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 36 (pow.f64 alpha 4)) (/.f64 12 (pow.f64 alpha 3)))))
(/.f64 (.f64 beta (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 6))) (pow.f64 alpha 3))
(/.f64 (.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 36 (pow.f64 alpha 4))) beta) (+.f64 (/.f64 2 alpha) (*.f64 6 (pow.f64 alpha -2))))
(/.f64 (.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (.f64 216 (pow.f64 (pow.f64 alpha -2) 3))) beta) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 36 (pow.f64 alpha 4)) (/.f64 12 (pow.f64 alpha 3)))))
(/.f64 (.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 6)) beta) (pow.f64 alpha 3))
(pow.f64 (*.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 1)
(pow.f64 (sqrt.f64 (*.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))) 2)
(pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))) 3)
(pow.f64 (pow.f64 (*.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 2))
(log.f64 (pow.f64 (exp.f64 beta) (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)))))
(cbrt.f64 (pow.f64 (*.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 3))
(expm1.f64 (log1p.f64 (*.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))))
(exp.f64 (log.f64 (*.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))))
(exp.f64 (.f64 (log.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))) 1))
(log1p.f64 (expm1.f64 (*.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 (pow.f64 alpha -2) -4))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 (*.f64 (pow.f64 alpha -2) -4) 1))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (.f64 (pow.f64 alpha -2) -4) 1) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (.f64 4 (pow.f64 alpha -2)))))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (pow.f64 alpha -2) -4) (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (.f64 4 (pow.f64 alpha -2)))))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (.f64 (pow.f64 alpha -2) -4) 1) (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (*.f64 4 (pow.f64 alpha -2)))))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (.f64 (pow.f64 alpha -2) -4) 1) (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (.f64 4 (pow.f64 alpha -2)))))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (+.f64 (.f64 (.f64 (pow.f64 alpha -2) -4) 1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (*.f64 4 (pow.f64 alpha -2)))))
(+.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 1 (.f64 (.f64 (pow.f64 alpha -2) -4) 1)))
(+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (.f64 4 (pow.f64 alpha -2))))
(+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))))
(+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4)) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (.f64 4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 3) 3) (pow.f64 (pow.f64 (.f64 4 (pow.f64 alpha -2)) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 2) (.f64 (.f64 4 (pow.f64 alpha -2)) (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 4 (pow.f64 alpha -2))))) (+.f64 (.f64 (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 3) (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 3)) (+.f64 (.f64 (pow.f64 (.f64 4 (pow.f64 alpha -2)) 3) (pow.f64 (.f64 4 (pow.f64 alpha -2)) 3)) (.f64 (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 3) (pow.f64 (.f64 4 (pow.f64 alpha -2)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 2) 3) (pow.f64 (/.f64 16 (pow.f64 alpha 4)) 3)) (.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 4 (pow.f64 alpha -2))) (+.f64 (.f64 (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 2) (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 2)) (+.f64 (.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 16 (pow.f64 alpha 4))) (.f64 (pow.f64 (*.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 2) (/.f64 16 (pow.f64 alpha 4)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 2) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 4 (pow.f64 alpha -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 3) (pow.f64 (.f64 4 (pow.f64 alpha -2)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) 2) (.f64 (.f64 4 (pow.f64 alpha -2)) (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 4 (pow.f64 alpha -2)))))))
(pow.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (*.f64 (pow.f64 alpha -2) -4)) 1)
(pow.f64 (sqrt.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (*.f64 (pow.f64 alpha -2) -4))) 2)
(pow.f64 (cbrt.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (*.f64 (pow.f64 alpha -2) -4))) 3)
(pow.f64 (pow.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (*.f64 (pow.f64 alpha -2) -4)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (*.f64 (pow.f64 alpha -2) -4)) 2))
(log.f64 (exp.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (*.f64 (pow.f64 alpha -2) -4))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (*.f64 (pow.f64 alpha -2) -4)))))
(cbrt.f64 (pow.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (*.f64 (pow.f64 alpha -2) -4)) 3))
(expm1.f64 (log1p.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (*.f64 (pow.f64 alpha -2) -4))))
(exp.f64 (log.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (*.f64 (pow.f64 alpha -2) -4))))
(exp.f64 (.f64 (log.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (.f64 (pow.f64 alpha -2) -4))) 1))
(log1p.f64 (expm1.f64 (fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (*.f64 (pow.f64 alpha -2) -4))))
(fma.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha) beta (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 1 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha)) (.f64 (pow.f64 alpha -2) -4))
(fma.f64 (sqrt.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))) (sqrt.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))) 2) (cbrt.f64 (.f64 beta (/.f64 (-.f64 2 (/.f64 6 alpha)) alpha))) (*.f64 (pow.f64 alpha -2) -4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) 1)
(.f64 2 (.f64 (/.f64 1 alpha) (/.f64 2 alpha)))
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha))
(*.f64 4 (pow.f64 alpha -2))
(.f64 4 (.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(.f64 (.f64 4 (pow.f64 alpha -2)) 1)
(.f64 1 (.f64 4 (pow.f64 alpha -2)))
(.f64 (sqrt.f64 (/.f64 2 alpha)) (.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2))) (*.f64 (cbrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)))
(.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (.f64 4 (pow.f64 alpha -2))))
(*.f64 (/.f64 4 alpha) (/.f64 1 alpha))
(*.f64 (pow.f64 alpha -2) 4)
(*.f64 (/.f64 1 alpha) (/.f64 4 alpha))
(.f64 -4 (/.f64 1 (.f64 alpha (neg.f64 alpha))))
(.f64 (.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha)))
(.f64 (.f64 (/.f64 2 alpha) 2) (/.f64 1 alpha))
(.f64 (.f64 (/.f64 2 alpha) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 2 alpha)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 4 (pow.f64 (cbrt.f64 alpha) 2)))
(.f64 (/.f64 1 (.f64 alpha (neg.f64 alpha))) -4)
(*.f64 (/.f64 (/.f64 2 alpha) alpha) 2)
(*.f64 (/.f64 (/.f64 2 alpha) 1) (/.f64 2 alpha))
(*.f64 (/.f64 (/.f64 2 alpha) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 2 alpha) (neg.f64 alpha)) -2)
(pow.f64 (/.f64 2 alpha) 2)
(pow.f64 (*.f64 4 (pow.f64 alpha -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) 3)
(pow.f64 (.f64 (.f64 alpha alpha) 1/4) -1)
(pow.f64 (pow.f64 (*.f64 4 (pow.f64 alpha -2)) 3) 1/3)
(sqrt.f64 (/.f64 16 (pow.f64 alpha 4)))
(log.f64 (exp.f64 (*.f64 4 (pow.f64 alpha -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))))
(cbrt.f64 (pow.f64 (*.f64 4 (pow.f64 alpha -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))))
(exp.f64 (.f64 (log.f64 (.f64 4 (pow.f64 alpha -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 alpha -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 6 (pow.f64 alpha -2)))) 1)
(*.f64 6 (pow.f64 alpha -2))
(.f64 (.f64 6 (pow.f64 alpha -2)) 1)
(.f64 1 (.f64 6 (pow.f64 alpha -2)))
(*.f64 (/.f64 (sqrt.f64 6) alpha) (/.f64 (sqrt.f64 6) alpha))
(.f64 (cbrt.f64 (.f64 6 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))) (cbrt.f64 (.f64 6 (pow.f64 alpha -2))))
(*.f64 (/.f64 6 alpha) (/.f64 1 alpha))
(*.f64 (pow.f64 alpha -2) 6)
(*.f64 (/.f64 1 alpha) (/.f64 6 alpha))
(.f64 -6 (/.f64 1 (.f64 alpha (neg.f64 alpha))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 6 (pow.f64 (cbrt.f64 alpha) 2)))
(.f64 (/.f64 1 (.f64 alpha (neg.f64 alpha))) -6)
(pow.f64 (*.f64 6 (pow.f64 alpha -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 6) alpha) 2)
(pow.f64 (cbrt.f64 (*.f64 6 (pow.f64 alpha -2))) 3)
(pow.f64 (.f64 (.f64 alpha alpha) 1/6) -1)
(pow.f64 (*.f64 216 (pow.f64 (pow.f64 alpha -2) 3)) 1/3)
(sqrt.f64 (/.f64 36 (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 6) (pow.f64 alpha -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 6 (pow.f64 alpha -2)))))
(cbrt.f64 (*.f64 216 (pow.f64 (pow.f64 alpha -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 6 (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 6 (pow.f64 alpha -2))))
(exp.f64 (.f64 (log.f64 (.f64 6 (pow.f64 alpha -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 6 (pow.f64 alpha -2))))

Outputs
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(*.f64 -6 (/.f64 beta (pow.f64 alpha 2)))
(/.f64 (.f64 beta -6) (.f64 alpha alpha))
(*.f64 (/.f64 beta alpha) (/.f64 -6 alpha))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 2 (/.f64 beta alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (/.f64 beta alpha) (/.f64 -6 alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 2 (/.f64 beta alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (/.f64 beta alpha) (/.f64 -6 alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 2 (/.f64 beta alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (/.f64 beta alpha) (/.f64 -6 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 2 (/.f64 beta alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (/.f64 beta alpha) (/.f64 -6 alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 2 (/.f64 beta alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (/.f64 beta alpha) (/.f64 -6 alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 2 (/.f64 beta alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (/.f64 beta alpha) (/.f64 -6 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 2 (/.f64 beta alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (/.f64 beta alpha) (/.f64 -6 alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 2 (/.f64 beta alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (/.f64 beta alpha) (/.f64 -6 alpha)))
(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha)))
(fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 2 (/.f64 beta alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (/.f64 beta alpha) (/.f64 -6 alpha)))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(*.f64 -4 (pow.f64 alpha -2))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) (fma.f64 beta -6 -4)))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) (fma.f64 beta -6 -4)))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) (fma.f64 beta -6 -4)))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) (fma.f64 beta -6 -4)))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) (fma.f64 beta -6 -4)))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) (fma.f64 beta -6 -4)))
(.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha))))
(/.f64 (*.f64 beta (+.f64 2 (/.f64 -6 alpha))) alpha)
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) (fma.f64 beta -6 -4)))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) (fma.f64 beta -6 -4)))
(-.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 beta (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) (fma.f64 beta -6 -4)))
(/.f64 (-.f64 (*.f64 -6 beta) 4) (pow.f64 alpha 2))
(/.f64 (fma.f64 -6 beta -4) (*.f64 alpha alpha))
(/.f64 (fma.f64 beta -6 -4) (*.f64 alpha alpha))
(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 2 (/.f64 beta alpha))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 (fma.f64 beta -6 -4) (.f64 alpha alpha)))
(+.f64 (/.f64 (fma.f64 beta -6 -4) (.f64 alpha alpha)) (.f64 2 (/.f64 beta alpha)))
(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 beta alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (fma.f64 -6 (/.f64 beta (.f64 alpha alpha)) (.f64 2 (/.f64 beta alpha))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 (fma.f64 beta -6 -4) (.f64 alpha alpha)))
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(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (pow.f64 (*.f64 4 (pow.f64 alpha -2)) 3) 1/3)
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(sqrt.f64 (/.f64 16 (pow.f64 alpha 4)))
(log.f64 (exp.f64 (*.f64 4 (pow.f64 alpha -2))))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(cbrt.f64 (pow.f64 (*.f64 4 (pow.f64 alpha -2)) 3))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2))))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(exp.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(exp.f64 (.f64 (log.f64 (.f64 4 (pow.f64 alpha -2))) 1))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 alpha -2))))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(-.f64 (exp.f64 (log1p.f64 (*.f64 6 (pow.f64 alpha -2)))) 1)
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(*.f64 6 (pow.f64 alpha -2))
(/.f64 6 (*.f64 alpha alpha))
(.f64 (.f64 6 (pow.f64 alpha -2)) 1)
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(.f64 1 (.f64 6 (pow.f64 alpha -2)))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(*.f64 (/.f64 (sqrt.f64 6) alpha) (/.f64 (sqrt.f64 6) alpha))
(pow.f64 (/.f64 (sqrt.f64 6) alpha) 2)
(.f64 (cbrt.f64 (.f64 6 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))) (cbrt.f64 (.f64 6 (pow.f64 alpha -2))))
(.f64 (cbrt.f64 (.f64 6 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))))
(*.f64 (/.f64 6 alpha) (/.f64 1 alpha))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(*.f64 (pow.f64 alpha -2) 6)
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(*.f64 (/.f64 1 alpha) (/.f64 6 alpha))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(.f64 -6 (/.f64 1 (.f64 alpha (neg.f64 alpha))))
(/.f64 -6 (*.f64 alpha (neg.f64 alpha)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 6 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 6 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(.f64 (/.f64 1 (.f64 alpha (neg.f64 alpha))) -6)
(/.f64 -6 (*.f64 alpha (neg.f64 alpha)))
(pow.f64 (*.f64 6 (pow.f64 alpha -2)) 1)
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(pow.f64 (/.f64 (sqrt.f64 6) alpha) 2)
(pow.f64 (cbrt.f64 (*.f64 6 (pow.f64 alpha -2))) 3)
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(pow.f64 (.f64 (.f64 alpha alpha) 1/6) -1)
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(pow.f64 (*.f64 216 (pow.f64 (pow.f64 alpha -2) 3)) 1/3)
(cbrt.f64 (*.f64 216 (pow.f64 (pow.f64 alpha -2) 3)))
(sqrt.f64 (/.f64 36 (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 6) (pow.f64 alpha -2)))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 6 (pow.f64 alpha -2)))))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(cbrt.f64 (*.f64 216 (pow.f64 (pow.f64 alpha -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 6 (pow.f64 alpha -2))))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(exp.f64 (log.f64 (*.f64 6 (pow.f64 alpha -2))))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(exp.f64 (.f64 (log.f64 (.f64 6 (pow.f64 alpha -2))) 1))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(log1p.f64 (expm1.f64 (*.f64 6 (pow.f64 alpha -2))))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))

localize42.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 16 (pow.f64 alpha 4))
✓	99.6%	(/.f64 8 (pow.f64 alpha 3))
	99.2%	(/.f64 4 (*.f64 alpha alpha))
✓	78.5%	(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))

Compiler

Compiled 99 to 70 computations (29.3% saved)

series2.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(/.f64 8 (pow.f64 alpha 3))
0.0ms	alpha	@	0	(/.f64 16 (pow.f64 alpha 4))
0.0ms	alpha	@	0	(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))
0.0ms	alpha	@	inf	(/.f64 8 (pow.f64 alpha 3))
0.0ms	alpha	@	inf	(/.f64 16 (pow.f64 alpha 4))

rewrite139.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`associate-+l+`
508×	`+-commutative`
436×	`add-sqr-sqrt`
416×	`add-cbrt-cube`
416×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	87
1	443	79
2	6810	79

Stop Event

1×	node limit

Counts

3 → 247

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))
(/.f64 8 (pow.f64 alpha 3))
(/.f64 16 (pow.f64 alpha 4))

Outputs

((+.f64 (/.f64 2 alpha) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (/.f64 2 alpha) (*.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1)) (+.f64 (/.f64 2 alpha) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (*.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1))) (+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1) (fma.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1) (fma.f64 (neg.f64 (hypot.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) (hypot.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 2) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (*.f64 4 (pow.f64 alpha -2))) (neg.f64 (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (*.f64 4 (pow.f64 alpha -2))) (*.f64 -16 (pow.f64 alpha -4)))) (+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (*.f64 4 (pow.f64 alpha -2))) (*.f64 -1 (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (*.f64 4 (pow.f64 alpha -2))) (*.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 4 (pow.f64 alpha -2))))) (+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (*.f64 4 (pow.f64 alpha -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 256 (pow.f64 alpha 8)))) (cbrt.f64 (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (+.f64 (/.f64 2 alpha) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (+.f64 (/.f64 2 alpha) (*.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (+.f64 (+.f64 (/.f64 2 alpha) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (fma.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (+.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) (fma.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (+.f64 (+.f64 (/.f64 2 alpha) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (fma.f64 (neg.f64 (hypot.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) (hypot.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (+.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) (fma.f64 (neg.f64 (hypot.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) (hypot.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (+.f64 (+.f64 (/.f64 2 alpha) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 2) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (+.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 2) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (neg.f64 (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 -16 (pow.f64 alpha -4)))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 -1 (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 4 (pow.f64 alpha -2))))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 256 (pow.f64 alpha 8)))) (cbrt.f64 (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1)) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) (fma.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) (fma.f64 (neg.f64 (hypot.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) (hypot.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 2) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1) (fma.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1) (fma.f64 (neg.f64 (hypot.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) (hypot.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 2) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (neg.f64 (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 4 (pow.f64 alpha -2))) (neg.f64 (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (neg.f64 (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 16 (pow.f64 alpha -4)))) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (neg.f64 (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 -16 (pow.f64 alpha -4)))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 -16 (pow.f64 alpha -4)))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 4 (pow.f64 alpha -2))) (*.f64 -16 (pow.f64 alpha -4)))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (*.f64 -16 (pow.f64 alpha -4)))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 16 (pow.f64 alpha -4)))) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (*.f64 -16 (pow.f64 alpha -4)))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 -1 (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 -1 (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 4 (pow.f64 alpha -2))) (*.f64 -1 (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (*.f64 -1 (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 16 (pow.f64 alpha -4)))) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (*.f64 -1 (*.f64 16 (pow.f64 alpha -4))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 4 (pow.f64 alpha -2))))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 (neg.f64 (*.f64 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(fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) 3) (pow.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 3)) (+.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) 2) (-.f64 (*.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))))) (/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2))) 3) (*.f64 4096 (pow.f64 (pow.f64 alpha -4) 3))) (+.f64 (*.f64 (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2)))) (+.f64 (/.f64 256 (pow.f64 alpha 8)) (*.f64 (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2))) (*.f64 16 (pow.f64 alpha -4)))))) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 64 (pow.f64 alpha 6))) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 -16 (pow.f64 alpha -4)))) (*.f64 (+.f64 (/.f64 2 alpha) (*.f64 -8 (pow.f64 alpha -3))) (-.f64 (*.f64 16 (pow.f64 alpha -4)) (/.f64 256 (pow.f64 alpha 8))))) (*.f64 (+.f64 (/.f64 2 alpha) (*.f64 -8 (pow.f64 alpha -3))) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 -16 (pow.f64 alpha -4))))) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 64 (pow.f64 alpha 6))) (-.f64 (+.f64 (*.f64 16 (pow.f64 alpha -4)) (/.f64 256 (pow.f64 alpha 8))) (/.f64 64 (pow.f64 alpha 6)))) (*.f64 (+.f64 (/.f64 2 alpha) (*.f64 -8 (pow.f64 alpha -3))) (+.f64 (/.f64 64 (pow.f64 alpha 6)) (*.f64 4096 (pow.f64 (pow.f64 alpha -4) 3))))) (*.f64 (+.f64 (/.f64 2 alpha) (*.f64 -8 (pow.f64 alpha -3))) (-.f64 (+.f64 (*.f64 16 (pow.f64 alpha -4)) (/.f64 256 (pow.f64 alpha 8))) (/.f64 64 (pow.f64 alpha 6))))) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 64 (pow.f64 alpha 6))) (pow.f64 alpha 6)) (*.f64 (+.f64 (/.f64 2 alpha) (*.f64 -8 (pow.f64 alpha -3))) (fma.f64 4 (pow.f64 alpha 4) (*.f64 alpha (*.f64 alpha 16))))) (*.f64 (+.f64 (/.f64 2 alpha) (*.f64 -8 (pow.f64 alpha -3))) (pow.f64 alpha 6))) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 8 (pow.f64 alpha -3)) (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3))) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 -16 (pow.f64 alpha -4)))) (*.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (-.f64 (/.f64 64 (pow.f64 alpha 6)) (*.f64 16 (pow.f64 alpha -4)))) (-.f64 (*.f64 16 (pow.f64 alpha -4)) (/.f64 256 (pow.f64 alpha 8))))) (*.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (-.f64 (/.f64 64 (pow.f64 alpha 6)) (*.f64 16 (pow.f64 alpha -4)))) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 -16 (pow.f64 alpha -4))))) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 8 (pow.f64 alpha -3)) (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3))) (-.f64 (+.f64 (*.f64 16 (pow.f64 alpha -4)) (/.f64 256 (pow.f64 alpha 8))) (/.f64 64 (pow.f64 alpha 6)))) (*.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (-.f64 (/.f64 64 (pow.f64 alpha 6)) (*.f64 16 (pow.f64 alpha -4)))) (+.f64 (/.f64 64 (pow.f64 alpha 6)) (*.f64 4096 (pow.f64 (pow.f64 alpha -4) 3))))) (*.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (-.f64 (/.f64 64 (pow.f64 alpha 6)) (*.f64 16 (pow.f64 alpha -4)))) (-.f64 (+.f64 (*.f64 16 (pow.f64 alpha -4)) (/.f64 256 (pow.f64 alpha 8))) (/.f64 64 (pow.f64 alpha 6))))) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 8 (pow.f64 alpha -3)) (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3))) (pow.f64 alpha 6)) (*.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (-.f64 (/.f64 64 (pow.f64 alpha 6)) (*.f64 16 (pow.f64 alpha -4)))) (fma.f64 4 (pow.f64 alpha 4) (*.f64 alpha (*.f64 alpha 16))))) (*.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (-.f64 (/.f64 64 (pow.f64 alpha 6)) (*.f64 16 (pow.f64 alpha -4)))) (pow.f64 alpha 6))) (/.f64 (-.f64 (*.f64 (fma.f64 2 (pow.f64 alpha 3) (*.f64 alpha 8)) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 -16 (pow.f64 alpha -4)))) (*.f64 (pow.f64 alpha 4) (-.f64 (*.f64 16 (pow.f64 alpha -4)) (/.f64 256 (pow.f64 alpha 8))))) (*.f64 (pow.f64 alpha 4) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 -16 (pow.f64 alpha -4))))) (/.f64 (-.f64 (*.f64 (fma.f64 2 (pow.f64 alpha 3) (*.f64 alpha 8)) (-.f64 (+.f64 (*.f64 16 (pow.f64 alpha -4)) (/.f64 256 (pow.f64 alpha 8))) (/.f64 64 (pow.f64 alpha 6)))) (*.f64 (pow.f64 alpha 4) (+.f64 (/.f64 64 (pow.f64 alpha 6)) (*.f64 4096 (pow.f64 (pow.f64 alpha -4) 3))))) (*.f64 (pow.f64 alpha 4) (-.f64 (+.f64 (*.f64 16 (pow.f64 alpha -4)) (/.f64 256 (pow.f64 alpha 8))) (/.f64 64 (pow.f64 alpha 6))))) (/.f64 (-.f64 (*.f64 (fma.f64 2 (pow.f64 alpha 3) (*.f64 alpha 8)) (pow.f64 alpha 6)) (*.f64 (pow.f64 alpha 4) (fma.f64 4 (pow.f64 alpha 4) (*.f64 alpha (*.f64 alpha 16))))) (*.f64 (pow.f64 alpha 4) (pow.f64 alpha 6))) (/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) 2) (pow.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))) 2))) (neg.f64 (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) 3) (pow.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) 2) (*.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))))) (pow.f64 (-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1) (pow.f64 (sqrt.f64 (-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) 2) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) 3) (pow.f64 (pow.f64 (-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 3) 1/3) (sqrt.f64 (pow.f64 (-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 2)) (log.f64 (exp.f64 (-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))))) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 3)) (expm1.f64 (log1p.f64 (-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (exp.f64 (log.f64 (-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) 1)) (log1p.f64 (expm1.f64 (-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))))) (fma.f64 2 (/.f64 1 alpha) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (fma.f64 1 (/.f64 2 alpha) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (fma.f64 1 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (fma.f64 (sqrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))) (sqrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 2 alpha)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))) (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))) 2) (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))))

((-.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) 1) (*.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3)) (*.f64 8 (pow.f64 (/.f64 1 alpha) 3)) (*.f64 (*.f64 8 (pow.f64 alpha -3)) 1) (*.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha)) (*.f64 1 (*.f64 8 (pow.f64 alpha -3))) (*.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2))) (*.f64 (pow.f64 alpha -3) 8) (*.f64 -8 (/.f64 1 (neg.f64 (pow.f64 alpha 3)))) (*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (/.f64 1 alpha)) (*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha))) (*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 2 alpha))) (*.f64 (pow.f64 (/.f64 2 alpha) 3/2) (pow.f64 (/.f64 2 alpha) 3/2)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3)) (pow.f64 (/.f64 2 alpha) 3) (pow.f64 (*.f64 8 (pow.f64 alpha -3)) 1) (pow.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) 2) (pow.f64 (*.f64 (pow.f64 alpha 3) 1/8) -1) (pow.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3)) 1/3) (sqrt.f64 (/.f64 64 (pow.f64 alpha 6))) (log.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 alpha -3))))) (cbrt.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3))) (expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) (exp.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3)))) (exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3))) 1)) (exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 3)) (log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 alpha -3)))))

((-.f64 (exp.f64 (log1p.f64 (*.f64 16 (pow.f64 alpha -4)))) 1) (*.f64 2 (*.f64 (/.f64 1 alpha) (*.f64 8 (pow.f64 alpha -3)))) (*.f64 (/.f64 2 alpha) (*.f64 8 (pow.f64 alpha -3))) (*.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 2 alpha)) (*.f64 4 (*.f64 (pow.f64 alpha -2) (*.f64 4 (pow.f64 alpha -2)))) (*.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2))) (*.f64 16 (pow.f64 alpha -4)) (*.f64 16 (*.f64 (pow.f64 alpha -2) (pow.f64 alpha -2))) (*.f64 (*.f64 16 (pow.f64 alpha -4)) 1) (*.f64 1 (*.f64 16 (pow.f64 alpha -4))) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 8 (pow.f64 alpha -3)))) (*.f64 (cbrt.f64 (/.f64 256 (pow.f64 alpha 8))) (cbrt.f64 (*.f64 16 (pow.f64 alpha -4)))) (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 8 (pow.f64 alpha -3)))) (*.f64 (cbrt.f64 (*.f64 16 (pow.f64 alpha -4))) (cbrt.f64 (/.f64 256 (pow.f64 alpha 8)))) (*.f64 (cbrt.f64 (*.f64 16 (pow.f64 alpha -4))) (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 4 (pow.f64 alpha -2)))) (*.f64 (pow.f64 alpha -4) 16) (*.f64 -16 (/.f64 1 (neg.f64 (pow.f64 alpha 4)))) (*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 4) (pow.f64 alpha -2)) (*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (cbrt.f64 (*.f64 16 (pow.f64 alpha -4)))) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (*.f64 (*.f64 (/.f64 2 alpha) 8) (pow.f64 alpha -3)) (*.f64 (*.f64 (/.f64 2 alpha) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2))) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2))) (*.f64 (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2))) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)))) (pow.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (pow.f64 (*.f64 16 (pow.f64 alpha -4)) 1) (pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 alpha -4))) 3) (pow.f64 (*.f64 (pow.f64 alpha 4) 1/16) -1) (pow.f64 (*.f64 4096 (pow.f64 (pow.f64 alpha -4) 3)) 1/3) (sqrt.f64 (/.f64 256 (pow.f64 alpha 8))) (log.f64 (pow.f64 (exp.f64 16) (pow.f64 alpha -4))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 16 (pow.f64 alpha -4))))) (cbrt.f64 (*.f64 4096 (pow.f64 (pow.f64 alpha -4) 3))) (cbrt.f64 (*.f64 (*.f64 8 (pow.f64 alpha -3)) (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3)))) (expm1.f64 (log1p.f64 (*.f64 16 (pow.f64 alpha -4)))) (exp.f64 (log.f64 (*.f64 16 (pow.f64 alpha -4)))) (exp.f64 (*.f64 (log.f64 (*.f64 16 (pow.f64 alpha -4))) 1)) (log1p.f64 (expm1.f64 (*.f64 16 (pow.f64 alpha -4)))))

simplify218.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1268×	`fma-def`
822×	`associate-+l+`
812×	`+-commutative`
792×	`associate-+r+`
734×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	609	21297
1	1884	19077

Stop Event

1×	node limit

Counts

259 → 353

Calls

Call 1

Inputs
(/.f64 -16 (pow.f64 alpha 4))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 16 (/.f64 1 (pow.f64 alpha 4))))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (.f64 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 (/.f64 2 alpha) (-.f64 (.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))))
(+.f64 (/.f64 2 alpha) (.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1))
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(log.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 alpha -3)))))
(cbrt.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3)))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3))))
(exp.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3))))
(exp.f64 (.f64 (log.f64 (.f64 8 (pow.f64 alpha -3))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 3))
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 alpha -3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 16 (pow.f64 alpha -4)))) 1)
(.f64 2 (.f64 (/.f64 1 alpha) (*.f64 8 (pow.f64 alpha -3))))
(.f64 (/.f64 2 alpha) (.f64 8 (pow.f64 alpha -3)))
(.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 2 alpha))
(.f64 4 (.f64 (pow.f64 alpha -2) (*.f64 4 (pow.f64 alpha -2))))
(.f64 (.f64 4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))
(*.f64 16 (pow.f64 alpha -4))
(.f64 16 (.f64 (pow.f64 alpha -2) (pow.f64 alpha -2)))
(.f64 (.f64 16 (pow.f64 alpha -4)) 1)
(.f64 1 (.f64 16 (pow.f64 alpha -4)))
(.f64 (sqrt.f64 (/.f64 2 alpha)) (.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 8 (pow.f64 alpha -3))))
(.f64 (cbrt.f64 (/.f64 256 (pow.f64 alpha 8))) (cbrt.f64 (.f64 16 (pow.f64 alpha -4))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2))) (.f64 (cbrt.f64 (/.f64 2 alpha)) (.f64 8 (pow.f64 alpha -3))))
(.f64 (cbrt.f64 (.f64 16 (pow.f64 alpha -4))) (cbrt.f64 (/.f64 256 (pow.f64 alpha 8))))
(.f64 (cbrt.f64 (.f64 16 (pow.f64 alpha -4))) (.f64 (cbrt.f64 (.f64 4 (pow.f64 alpha -2))) (*.f64 4 (pow.f64 alpha -2))))
(*.f64 (pow.f64 alpha -4) 16)
(*.f64 -16 (/.f64 1 (neg.f64 (pow.f64 alpha 4))))
(.f64 (.f64 (*.f64 4 (pow.f64 alpha -2)) 4) (pow.f64 alpha -2))
(.f64 (.f64 (.f64 4 (pow.f64 alpha -2)) (cbrt.f64 (.f64 16 (pow.f64 alpha -4)))) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))))
(.f64 (.f64 (/.f64 2 alpha) 8) (pow.f64 alpha -3))
(.f64 (.f64 (/.f64 2 alpha) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2))) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)))
(.f64 (.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2))) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2))))
(pow.f64 (*.f64 4 (pow.f64 alpha -2)) 2)
(pow.f64 (*.f64 16 (pow.f64 alpha -4)) 1)
(pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 alpha -4))) 3)
(pow.f64 (*.f64 (pow.f64 alpha 4) 1/16) -1)
(pow.f64 (*.f64 4096 (pow.f64 (pow.f64 alpha -4) 3)) 1/3)
(sqrt.f64 (/.f64 256 (pow.f64 alpha 8)))
(log.f64 (pow.f64 (exp.f64 16) (pow.f64 alpha -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 16 (pow.f64 alpha -4)))))
(cbrt.f64 (*.f64 4096 (pow.f64 (pow.f64 alpha -4) 3)))
(cbrt.f64 (.f64 (.f64 8 (pow.f64 alpha -3)) (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3))))
(expm1.f64 (log1p.f64 (*.f64 16 (pow.f64 alpha -4))))
(exp.f64 (log.f64 (*.f64 16 (pow.f64 alpha -4))))
(exp.f64 (.f64 (log.f64 (.f64 16 (pow.f64 alpha -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 16 (pow.f64 alpha -4))))

Outputs
(/.f64 -16 (pow.f64 alpha 4))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 16 (/.f64 1 (pow.f64 alpha 4))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 16 (pow.f64 alpha 4)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -16 (pow.f64 alpha 4)))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -16 (pow.f64 alpha 4)) (/.f64 (/.f64 4 alpha) alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4))))
(+.f64 (/.f64 2 alpha) (-.f64 (.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))))
(+.f64 (/.f64 2 alpha) (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 -16 (pow.f64 alpha -4)))))
(fma.f64 -16 (pow.f64 alpha -4) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))))
(+.f64 (/.f64 2 alpha) (.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1))
(+.f64 (/.f64 2 alpha) (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 -16 (pow.f64 alpha -4)))))
(fma.f64 -16 (pow.f64 alpha -4) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1)))
(+.f64 (/.f64 2 alpha) (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 -16 (pow.f64 alpha -4)))))
(fma.f64 -16 (pow.f64 alpha -4) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))) 1) (fma.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))) 1 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))))
(+.f64 (/.f64 2 alpha) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (.f64 -16 (pow.f64 alpha -4)))) (+.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 -16 (pow.f64 alpha -4))) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))))
(+.f64 (.f64 0 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))) (fma.f64 -16 (pow.f64 alpha -4) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)))))
(+.f64 (/.f64 2 alpha) (+.f64 (.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))) 1) (fma.f64 (neg.f64 (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))) (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))))))
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (.f64 -16 (pow.f64 alpha -4)))) (+.f64 (/.f64 2 alpha) (fma.f64 (neg.f64 (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))) (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))))))
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (.f64 (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (neg.f64 (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))))) (.f64 0 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))))
(+.f64 (/.f64 2 alpha) (+.f64 (.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))) 1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))))) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))) 2) (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))))))
(+.f64 (/.f64 2 alpha) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (.f64 -16 (pow.f64 alpha -4)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))))) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))) 2) (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))))))
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (.f64 (neg.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))))) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))) 2)) (.f64 0 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))))
(+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 4 (pow.f64 alpha -2))) (neg.f64 (*.f64 16 (pow.f64 alpha -4)))))
(+.f64 (/.f64 2 alpha) (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 -16 (pow.f64 alpha -4)))))
(fma.f64 -16 (pow.f64 alpha -4) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 4 (pow.f64 alpha -2))) (*.f64 -16 (pow.f64 alpha -4))))
(+.f64 (/.f64 2 alpha) (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 -16 (pow.f64 alpha -4)))))
(fma.f64 -16 (pow.f64 alpha -4) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 4 (pow.f64 alpha -2))) (.f64 -1 (.f64 16 (pow.f64 alpha -4)))))
(+.f64 (/.f64 2 alpha) (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 -16 (pow.f64 alpha -4)))))
(fma.f64 -16 (pow.f64 alpha -4) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 4 (pow.f64 alpha -2))) (.f64 (neg.f64 (.f64 4 (pow.f64 alpha -2))) (*.f64 4 (pow.f64 alpha -2)))))
(+.f64 (/.f64 2 alpha) (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 -16 (pow.f64 alpha -4)))))
(fma.f64 -16 (pow.f64 alpha -4) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 4 (pow.f64 alpha -2))) (.f64 (neg.f64 (cbrt.f64 (/.f64 256 (pow.f64 alpha 8)))) (cbrt.f64 (.f64 16 (pow.f64 alpha -4))))))
(+.f64 (/.f64 2 alpha) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (.f64 (pow.f64 alpha -2) -4)) (.f64 (neg.f64 (cbrt.f64 (/.f64 256 (pow.f64 alpha 8)))) (cbrt.f64 (*.f64 16 (pow.f64 alpha -4))))))
(-.f64 (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))) (.f64 (cbrt.f64 (/.f64 256 (pow.f64 alpha 8))) (cbrt.f64 (.f64 16 (pow.f64 alpha -4)))))
(+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (/.f64 2 alpha) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))))))
(+.f64 (/.f64 2 alpha) (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 -16 (pow.f64 alpha -4)))))
(fma.f64 -16 (pow.f64 alpha -4) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))))
(+.f64 (.f64 8 (pow.f64 alpha -3)) (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))))
(+.f64 (/.f64 2 alpha) (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 -16 (pow.f64 alpha -4)))))
(fma.f64 -16 (pow.f64 alpha -4) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))))
(+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (/.f64 2 alpha) (.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4)))) 1)))
(+.f64 (/.f64 2 alpha) (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 -16 (pow.f64 alpha -4)))))
(fma.f64 -16 (pow.f64 alpha -4) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))))
(+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (+.f64 (/.f64 2 alpha) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))))) (fma.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))) 1 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))))))
(+.f64 (/.f64 2 alpha) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (.f64 -16 (pow.f64 alpha -4)))) (+.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 -16 (pow.f64 alpha -4))) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))))
(+.f64 (.f64 0 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))) (fma.f64 -16 (pow.f64 alpha -4) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)))))
(+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))) (fma.f64 (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))) 1 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))))))
(+.f64 (/.f64 2 alpha) (+.f64 (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (.f64 -16 (pow.f64 alpha -4)))) (+.f64 (fma.f64 -4 (pow.f64 alpha -2) (.f64 -16 (pow.f64 alpha -4))) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))))
(+.f64 (.f64 0 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))) (fma.f64 -16 (pow.f64 alpha -4) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)))))
(+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (+.f64 (/.f64 2 alpha) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))))) (fma.f64 (neg.f64 (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))) (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))))
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (.f64 -16 (pow.f64 alpha -4)))) (+.f64 (/.f64 2 alpha) (fma.f64 (neg.f64 (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))) (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))))))
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (+.f64 (.f64 (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (neg.f64 (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))))) (.f64 0 (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))))
(+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4)))) (fma.f64 (neg.f64 (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))) (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (fma.f64 4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))))))
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (fma.f64 -4 (pow.f64 alpha -2) (.f64 -16 (pow.f64 alpha -4)))) (+.f64 (/.f64 2 alpha) (fma.f64 (neg.f64 (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))) (hypot.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (fma.f64 4 (pow.f64 alpha -2) (.f64 16 (pow.f64 alpha -4))))))
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(*.f64 16 (pow.f64 alpha -4))
(cbrt.f64 (*.f64 4096 (pow.f64 (pow.f64 alpha -4) 3)))
(cbrt.f64 (.f64 (.f64 8 (pow.f64 alpha -3)) (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 alpha -3) 3) (.f64 (pow.f64 alpha -3) 4096)))
(expm1.f64 (log1p.f64 (*.f64 16 (pow.f64 alpha -4))))
(*.f64 16 (pow.f64 alpha -4))
(exp.f64 (log.f64 (*.f64 16 (pow.f64 alpha -4))))
(*.f64 16 (pow.f64 alpha -4))
(exp.f64 (.f64 (log.f64 (.f64 16 (pow.f64 alpha -4))) 1))
(*.f64 16 (pow.f64 alpha -4))
(log1p.f64 (expm1.f64 (*.f64 16 (pow.f64 alpha -4))))
(*.f64 16 (pow.f64 alpha -4))

eval872.0ms (6.7%)

Compiler: Compiled 37431 to 29491 computations (21.2% saved)

prune422.0ms (3.3%)

Pruning

23 alts after pruning (11 fresh and 12 done)

	Pruned	Kept	Total
New	1015	4	1019
Fresh	1	7	8
Picked	0	1	1
Done	1	11	12
Total	1017	23	1040

Accurracy

100.0%

Counts

1040 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.8%	(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)) 3) 2)
	49.8%	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) 2)
	29.7%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	49.8%	(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) 2)
	49.8%	(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) alpha) (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) 2)
	49.8%	(/.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) 2)
✓	23.1%	(/.f64 (/.f64 2 alpha) 2)
	27.9%	(/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha)))) 2) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) 2)
	21.8%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2)
✓	21.9%	(/.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)
	5.9%	(/.f64 (-.f64 (.f64 -1 (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))))) (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta)))) 2)
✓	49.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	47.1%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	74.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	71.9%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	28.7%	(/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))) 2)
	28.8%	(/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 4 (.f64 alpha alpha)))) 2)
✓	32.5%	(/.f64 (+.f64 (-.f64 1 (/.f64 alpha beta)) 1) 2)
✓	74.1%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	45.4%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	49.8%	(/.f64 (exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))) 2)
✓	36.9%	(/.f64 2 2)
✓	49.0%	(/.f64 1 2)

Compiler

Compiled 428 to 333 computations (22.2% saved)

regimes191.0ms (1.5%)

Counts

36 → 2

Calls

Call 1

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

Calls

5 calls:

79.0ms	beta
57.0ms	alpha
20.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Accuracy	Segments	Branch
94.2%	2	`alpha`
76.3%	3	`beta`
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 765 to 546 computations (28.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999996434595	-0.9999247872275373

Compiler

Compiled 20 to 15 computations (25% saved)

regimes98.0ms (0.8%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	alpha
31.0ms	beta
13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
94.2%	2	`alpha`
76.3%	3	`beta`
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 321 to 227 computations (29.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999996434595	-0.9999247872275373

Compiler

Compiled 20 to 15 computations (25% saved)

regimes107.0ms (0.8%)

Counts

16 → 2

Calls

Call 1

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

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:

26.0ms	beta
23.0ms	alpha
9.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Accuracy	Segments	Branch
94.2%	2	`alpha`
76.3%	3	`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 187 to 138 computations (26.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999996434595	-0.9999247872275373

Compiler

Compiled 20 to 15 computations (25% saved)

regimes87.0ms (0.7%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	alpha
20.0ms	beta

Results

Accuracy	Segments	Branch
92.3%	2	`alpha`
75.1%	3	`beta`

Compiler

Compiled 107 to 85 computations (20.6% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.003991069204921871	339.23825692774614

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 236 to 195 computations (17.4% saved)

regimes24.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	alpha
5.0ms	beta

Results

Accuracy	Segments	Branch
85.4%	2	`alpha`
71.9%	1	`beta`

Compiler

Compiled 65 to 54 computations (16.9% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.003991069204921871	339.23825692774614

Results

18.0ms

144×

body

256

valid

Compiler

Compiled 200 to 168 computations (16% saved)

regimes92.0ms (0.7%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

2 calls:

73.0ms	beta
18.0ms	alpha

Results

Accuracy	Segments	Branch
69.4%	4	`alpha`
73.0%	4	`beta`

Compiler

Compiled 47 to 40 computations (14.9% saved)

bsearch105.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
24.0ms	3.3197794910532896	18056818.27152592
19.0ms	1.90762416470258e-262	3.637790599612815e-260
62.0ms	2.5927814481513308e-306	5.486914358713258e-306

Results

64.0ms	60×	body	1024	valid
26.0ms	234×	body	256	valid
9.0ms	36×	body	512	valid
2.0ms	6×	body	2048	valid

Compiler

Compiled 316 to 294 computations (7% saved)

regimes32.0ms (0.2%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	alpha
15.0ms	beta

Results

Accuracy	Segments	Branch
68.9%	4	`alpha`
72.6%	4	`beta`

Compiler

Compiled 24 to 21 computations (12.5% saved)

bsearch56.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
25.0ms	3.3197794910532896	18056818.27152592
17.0ms	1.90762416470258e-262	3.637790599612815e-260
15.0ms	2.5927814481513308e-306	5.486914358713258e-306

Results

24.0ms	231×	body	256	valid
16.0ms	58×	body	1024	valid
6.0ms	37×	body	512	valid
3.0ms	10×	body	2048	valid

Compiler

Compiled 296 to 279 computations (5.7% saved)

regimes76.0ms (0.6%)

Accuracy

Total -43.2b remaining (-231.2%)

Threshold costs -43.2b (-231.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

62.0ms	beta
13.0ms	alpha

Results

Accuracy	Segments	Branch
53.9%	2	`alpha`
70.8%	2	`beta`

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	3.3197794910532896	18056818.27152592

Results

15.0ms	105×	body	256	valid
5.0ms	23×	body	1024	valid
3.0ms	15×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative`
10×	`*-commutative`
8×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	557
1	89	557
2	99	557
3	103	557
4	105	557

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9006748894778255/9007199254740992) (/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 4 (.f64 alpha alpha)))) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9006748894778255/9007199254740992) (/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 4 (.f64 alpha alpha)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9006748894778255/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 335) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 335) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 8538845061402167/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 6913382939175789/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7656119366529843/2251799813685248) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 4111295770304747/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (/.f64 1 2) (if (<=.f64 beta 2304460979725263/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7656119366529843/2251799813685248) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 7656119366529843/2251799813685248) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9006748894778255/9007199254740992) (/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 4 (.f64 alpha alpha)))) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9006748894778255/9007199254740992) (/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 4 (.f64 alpha alpha)))) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9006748894778255/9007199254740992) (/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 4 (.f64 alpha 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)) -9006748894778255/9007199254740992) (/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 4 (.f64 alpha alpha)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9006748894778255/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9006748894778255/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 335) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 335) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 335) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 335) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 8538845061402167/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 6913382939175789/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7656119366529843/2251799813685248) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 8538845061402167/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 6913382939175789/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7656119366529843/2251799813685248) 1/2 1)))
(if (<=.f64 beta 4111295770304747/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (/.f64 1 2) (if (<=.f64 beta 2304460979725263/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7656119366529843/2251799813685248) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 4111295770304747/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) 1/2 (if (<=.f64 beta 2304460979725263/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7656119366529843/2251799813685248) 1/2 1)))
(if (<=.f64 beta 7656119366529843/2251799813685248) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 7656119366529843/2251799813685248) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 229 to 169 computations (26.2% saved)

soundness598.0ms (4.6%)

Algorithm

5×	egg-herbie

Rules

1354×	`fma-def`
982×	`associate-/l*`
982×	`associate-/l*`
924×	`distribute-lft-in`
924×	`distribute-lft-in`

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	608	12724
1	2161	12284
0	601	25338
1	1733	22118
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	608	12724
1	2161	12284

Stop Event

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

Compiler

Compiled 765 to 555 computations (27.5% saved)

end147.0ms (1.1%)

Compiler: Compiled 213 to 147 computations (31% saved)