Details

analyze1.2s (9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	199.8%	-99.8%	0%	0%	0%	1
0%	0%	399.6%	-299.6%	0%	0%	0%	2
0%	0%	799.2%	-699.2%	0%	0%	0%	3
0%	0%	1598.4%	-1498.4%	0%	0%	0%	4
0%	0%	3196.9%	-3096.9%	0%	0%	0%	5
0%	0%	6393.8%	-6293.8%	0%	0%	0%	6
0%	0%	12787.5%	-12687.5%	0%	0%	0%	7
0%	0%	25575%	-25475%	0%	0%	0%	8
0%	0%	51150%	-51050%	0%	0%	0%	9
0%	0%	102300%	-102200%	0%	0%	0%	10
0%	0%	204600%	-204500%	0%	0%	0%	11
0%	0%	409200.1%	-409100.1%	0%	0%	0%	12

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample4.3s (31.2%)

Results

1.4s	2995×	body	1024	valid
1.2s	6311×	body	256	precondition
940.0ms	2394×	body	512	valid
653.0ms	2757×	body	256	valid
75.0ms	110×	body	2048	valid

Bogosity

preprocess84.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

73.4%

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.4%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	73.4%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize180.0ms (1.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 beta alpha) 2)
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	73.4%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 51 to 24 computations (52.9% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite110.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	259	69
2	3902	69

Stop Event

1×	node limit

Counts

3 → 211

Calls

Call 1

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

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

simplify185.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

628×	`fma-def`
578×	`div-sub`
474×	`+-commutative`
434×	`exp-prod`
372×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	645	12637
1	1777	12141
2	6222	12019

Stop Event

1×	node limit

Counts

283 → 434

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

eval612.0ms (4.4%)

Compiler: Compiled 12006 to 8055 computations (32.9% saved)

prune147.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	421	13	434
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	422	13	435

Accurracy

100.0%

Counts

435 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.9%	(/.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
▶	51.2%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
	30.7%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	27.4%	(/.f64 (-.f64 (/.f64 (.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)) 2)
	52.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	62.7%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 1 (/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) 1) 2)
▶	29.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
	71.7%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	73.5%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
▶	25.4%	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	3.7%	(/.f64 (+.f64 -1 1) 2)
	73.4%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
▶	33.5%	(/.f64 2 2)
	72.9%	(/.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) 2)
▶	51.2%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
	30.7%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	27.4%	(/.f64 (-.f64 (/.f64 (.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)) 2)
	52.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	62.7%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 1 (/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) 1) 2)
▶	29.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
	71.7%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	73.5%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
▶	25.4%	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	3.7%	(/.f64 (+.f64 -1 1) 2)
	73.4%	(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
▶	33.5%	(/.f64 2 2)

Compiler

Compiled 840 to 648 computations (22.9% saved)

localize875.0ms (6.3%)

Local Accuracy

Found 11 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.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)))))
✓	99.9%	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
✓	78.6%	(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
✓	52.1%	(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
✓	100.0%	(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
✓	100.0%	(+.f64 (/.f64 (-.f64 beta alpha) beta) 1)
✓	100.0%	(/.f64 (-.f64 beta alpha) beta)
✓	100.0%	(+.f64 beta (+.f64 alpha 2))
✓	100.0%	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	99.9%	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
✓	73.4%	(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)

Compiler

Compiled 259 to 156 computations (39.8% saved)

series43.0ms (0.3%)

Counts

11 → 252

Calls

66 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	-inf	(/.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)))))
4.0ms	beta	@	0	(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
3.0ms	beta	@	0	(/.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)))))
3.0ms	beta	@	inf	(/.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)))))
2.0ms	alpha	@	0	(/.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)))))

rewrite155.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`add-sqr-sqrt`
548×	`pow1`
546×	`*-un-lft-identity`
520×	`add-exp-log`
520×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	269
1	553	259

Stop Event

1×	node limit

Counts

11 → 411

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

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

simplify452.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

782×	`*-commutative`
752×	`sub-neg`
742×	`+-commutative`
482×	`div-sub`
470×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1693	49395
1	5510	47725

Stop Event

1×	node limit

Counts

663 → 926

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

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

eval1.2s (8.4%)

Compiler: Compiled 51335 to 35963 computations (29.9% saved)

prune269.0ms (1.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1042	6	1048
Fresh	2	6	8
Picked	3	2	5
Done	0	0	0
Total	1047	14	1061

Accurracy

100.0%

Counts

1061 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(/.f64 (/.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) 2)
	51.1%	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
▶	30.7%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	27.4%	(/.f64 (-.f64 (/.f64 (.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)) 2)
	29.2%	(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
	52.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	62.7%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 1 (/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) 1) 2)
✓	29.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
▶	29.2%	(/.f64 (+.f64 (/.f64 (neg.f64 alpha) beta) 1) 2)
▶	71.7%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	71.1%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 1) 2)
	29.3%	(/.f64 (+.f64 (.f64 -1 (.f64 2 (/.f64 alpha beta))) 2) 2)
▶	3.7%	(/.f64 (+.f64 -1 1) 2)
✓	33.5%	(/.f64 2 2)
	50.9%	(/.f64 (/.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) 2)
	51.1%	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
▶	30.7%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	27.4%	(/.f64 (-.f64 (/.f64 (.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)) 2)
	29.2%	(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
	52.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	62.7%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 1 (/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) 1) 2)
✓	29.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
▶	29.2%	(/.f64 (+.f64 (/.f64 (neg.f64 alpha) beta) 1) 2)
▶	71.7%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	71.1%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 1) 2)
	29.3%	(/.f64 (+.f64 (.f64 -1 (.f64 2 (/.f64 alpha beta))) 2) 2)
▶	3.7%	(/.f64 (+.f64 -1 1) 2)
✓	33.5%	(/.f64 2 2)

Compiler

Compiled 948 to 694 computations (26.8% saved)

localize487.0ms (3.5%)

Local Accuracy

Found 7 expressions with local accuracy:

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

Compiler

Compiled 140 to 92 computations (34.3% saved)

series15.0ms (0.1%)

Counts

7 → 120

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	-inf	(/.f64 beta (+.f64 beta 2))
2.0ms	beta	@	0	(+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 1)
0.0ms	alpha	@	0	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
0.0ms	alpha	@	0	(+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 1)
0.0ms	beta	@	inf	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)

rewrite129.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`log1p-udef`
786×	`expm1-udef`
496×	`add-sqr-sqrt`
486×	`pow1`
486×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	125
1	473	117
2	7269	117

Stop Event

1×	node limit

Counts

7 → 236

Calls

Call 1

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

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

simplify159.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1484×	`fma-neg`
620×	`fma-def`
570×	`log-prod`
498×	`associate-r`
496×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	646	10394
1	1664	9590
2	5908	9568

Stop Event

1×	node limit

Counts

356 → 438

Calls

Call 1

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

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

eval177.0ms (1.3%)

Compiler: Compiled 7561 to 5433 computations (28.1% saved)

prune115.0ms (0.8%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	431	7	438
Fresh	1	6	7
Picked	3	2	5
Done	0	2	2
Total	435	17	452

Accurracy

100.0%

Counts

452 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(/.f64 (/.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) 2)
	51.1%	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
✓	30.7%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	25.4%	(/.f64 (/.f64 2 alpha) 2)
	27.4%	(/.f64 (-.f64 (/.f64 (.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)) 2)
	29.2%	(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
	25.6%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	52.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	49.6%	(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
✓	29.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
✓	71.7%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	60.7%	(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)) (-.f64 beta alpha)) 1) 2)
▶	71.8%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
	48.6%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	29.3%	(/.f64 (+.f64 (.f64 -1 (.f64 2 (/.f64 alpha beta))) 2) 2)
	9.0%	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	33.5%	(/.f64 2 2)
	50.9%	(/.f64 (/.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) 2)
	51.1%	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
✓	30.7%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	25.4%	(/.f64 (/.f64 2 alpha) 2)
	27.4%	(/.f64 (-.f64 (/.f64 (.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)) 2)
	29.2%	(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
	25.6%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	52.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	49.6%	(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
✓	29.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
✓	71.7%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	60.7%	(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)) (-.f64 beta alpha)) 1) 2)
▶	71.8%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
	48.6%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	29.3%	(/.f64 (+.f64 (.f64 -1 (.f64 2 (/.f64 alpha beta))) 2) 2)
	9.0%	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	33.5%	(/.f64 2 2)

Compiler

Compiled 972 to 718 computations (26.1% saved)

localize747.0ms (5.4%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)) (-.f64 beta alpha)) 1)
✓	99.9%	(*.f64 (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)) (-.f64 beta alpha))
✓	86.5%	(/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))
✓	100.0%	(/.f64 alpha (+.f64 alpha 2))
✓	68.1%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
✓	100.0%	(+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1)
	100.0%	(/.f64 1 (+.f64 beta 2))
✓	100.0%	(*.f64 (/.f64 1 (+.f64 beta 2)) beta)

Compiler

Compiled 163 to 111 computations (31.9% saved)

series10.0ms (0.1%)

Counts

7 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	0	(*.f64 (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)) (-.f64 beta alpha))
1.0ms	alpha	@	inf	(*.f64 (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)) (-.f64 beta alpha))
0.0ms	alpha	@	-inf	(*.f64 (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)) (-.f64 beta alpha))
0.0ms	beta	@	0	(*.f64 (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)) (-.f64 beta alpha))
0.0ms	alpha	@	inf	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

rewrite140.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`expm1-udef`
542×	`add-sqr-sqrt`
524×	`pow1`
524×	`*-un-lft-identity`
504×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	153
1	519	121
2	7557	121

Stop Event

1×	node limit

Counts

7 → 235

Calls

Call 1

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

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

simplify162.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1530×	`fma-neg`
626×	`fma-def`
476×	`associate-r`
458×	`associate-/l*`
438×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	697	11929
1	1881	10901
2	6801	10829

Stop Event

1×	node limit

Counts

343 → 478

Calls

Call 1

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

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

eval251.0ms (1.8%)

Compiler: Compiled 9742 to 7135 computations (26.8% saved)

prune130.0ms (0.9%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	530	3	533
Fresh	1	7	8
Picked	1	4	5
Done	0	4	4
Total	532	18	550

Accurracy

100.0%

Counts

550 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(/.f64 (/.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) 2)
	51.1%	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
	52.0%	(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 2 alpha)) (/.f64 (neg.f64 alpha) (+.f64 2 alpha)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 2 alpha)))) 2)
✓	30.7%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	25.4%	(/.f64 (/.f64 2 alpha) 2)
	23.9%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	29.2%	(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
	25.6%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	52.1%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	49.6%	(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
✓	29.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
✓	71.7%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	61.3%	(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)) beta) 1) 2)
✓	71.8%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
	48.6%	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	29.3%	(/.f64 (+.f64 (.f64 -1 (.f64 2 (/.f64 alpha beta))) 2) 2)
	9.0%	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	33.5%	(/.f64 2 2)

Compiler

Compiled 722 to 512 computations (29.1% saved)

regimes146.0ms (1.1%)

Counts

31 → 2

Calls

Call 1

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

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

Calls

5 calls:

59.0ms	beta
33.0ms	alpha
20.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
11.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
95.4%	2	`alpha`
75.3%	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 493 to 338 computations (31.4% saved)

regimes44.0ms (0.3%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms	(+.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
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 399 to 278 computations (30.3% saved)

regimes35.0ms (0.3%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.8%	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 218 to 163 computations (25.2% saved)

regimes25.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

alpha

Results

Accuracy	Segments	Branch
94.1%	2	`alpha`

Compiler

Compiled 156 to 122 computations (21.8% saved)

regimes25.0ms (0.2%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

alpha

Results

Accuracy	Segments	Branch
93.8%	2	`alpha`

Compiler

Compiled 143 to 113 computations (21% saved)

regimes21.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

alpha

Results

Accuracy	Segments	Branch
93.8%	2	`alpha`

Compiler

Compiled 108 to 85 computations (21.3% saved)

regimes25.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

alpha

Results

Accuracy	Segments	Branch
88.3%	2	`alpha`

Compiler

Compiled 88 to 70 computations (20.5% saved)

regimes53.0ms (0.4%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	beta
25.0ms	alpha

Results

Accuracy	Segments	Branch
72.6%	4	`beta`
74.5%	4	`alpha`

Compiler

Compiled 64 to 52 computations (18.8% saved)

regimes37.0ms (0.3%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	alpha
18.0ms	beta

Results

Accuracy	Segments	Branch
72.3%	4	`beta`
72.6%	4	`alpha`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes27.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	alpha
7.0ms	beta

Results

Accuracy	Segments	Branch
47.5%	2	`beta`
50.0%	2	`alpha`

Compiler

Compiled 28 to 23 computations (17.9% saved)

regimes9.0ms (0.1%)

Accuracy

Total -19.3b remaining (-45.4%)

Threshold costs -19.3b (-45.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 2 2)

Calls

2 calls:

5.0ms	alpha
3.0ms	beta

Results

Accuracy	Segments	Branch
33.5%	1	`beta`
33.5%	1	`alpha`

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999997129662	-0.9816750140153808

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999997129662	-0.9816750140153808

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999997129662	-0.9816750140153808

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.3156903092072667e+22	2.1158533141466393e+22

Results

6.0ms	51×	body	256	valid
2.0ms	9×	body	1024	valid
1.0ms	4×	body	512	valid

Compiler

Compiled 132 to 107 computations (18.9% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	5.246355346129049e+24	7.567734618940874e+29

Results

17.0ms	110×	body	256	valid
4.0ms	20×	body	512	valid
3.0ms	14×	body	1024	valid

Compiler

Compiled 254 to 213 computations (16.1% saved)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	5.246355346129049e+24	7.567734618940874e+29

Results

20.0ms	112×	body	256	valid
5.0ms	21×	body	1024	valid
2.0ms	11×	body	512	valid

Compiler

Compiled 236 to 195 computations (17.4% saved)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	5.246355346129049e+24	7.567734618940874e+29

Results

15.0ms	110×	body	256	valid
4.0ms	21×	body	512	valid
3.0ms	13×	body	1024	valid

Compiler

Compiled 200 to 168 computations (16% saved)

bsearch75.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
33.0ms	0.03635291842446456	32.32299273928603
19.0ms	-3.440664977046623e-139	-7.27961210413615e-140
22.0ms	-1.8224273745371906e-119	-5.534367333999888e-121

Results

24.0ms	35×	body	1024	valid
24.0ms	138×	body	512	valid
21.0ms	163×	body	256	valid

Compiler

Compiled 372 to 338 computations (9.1% saved)

bsearch65.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	0.03635291842446456	32.32299273928603
20.0ms	-3.440664977046623e-139	-7.27961210413615e-140
23.0ms	-1.8224273745371906e-119	-5.534367333999888e-121

Results

25.0ms	131×	body	512	valid
22.0ms	153×	body	256	valid
13.0ms	52×	body	1024	valid

Compiler

Compiled 372 to 338 computations (9.1% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	5.246355346129049e+24	7.567734618940874e+29

Results

16.0ms	121×	body	256	valid
3.0ms	14×	body	1024	valid
1.0ms	9×	body	512	valid

Compiler

Compiled 146 to 132 computations (9.6% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative`
18×	`*-commutative`
10×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	717
1	110	717
2	123	717
3	129	717
4	132	717

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4458563631096791/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) 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)) -4458563631096791/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4458563631096791/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 13500000000000001048576) (/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 1) 2) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 5600000000000000335544320) (/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 5400000000000000016777216) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 7899999999999999706398720) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha -3256237484844319/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 1 (.f64 1/2 alpha)) 2) (if (<=.f64 alpha -4558654696180483/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 2 2) (if (<=.f64 alpha 3152519739159347/2251799813685248) (/.f64 (-.f64 1 (.f64 1/2 alpha)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha -3256237484844319/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 alpha -4558654696180483/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 2 2) (if (<=.f64 alpha 5404319552844595/9007199254740992) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha 5400000000000000016777216) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4458563631096791/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) 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 beta alpha) 2)) -4458563631096791/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) 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)) -4458563631096791/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4458563631096791/4503599627370496) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2) (/.f64 (+.f64 1 (.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4458563631096791/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4458563631096791/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 13500000000000001048576) (/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 1) 2) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 13500000000000001048576) (/.f64 (+.f64 1 (.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta 2)))) 2) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 5600000000000000335544320) (/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 5600000000000000335544320) (/.f64 (+.f64 1 (.f64 beta (/.f64 1 (+.f64 beta 2)))) 2) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 5400000000000000016777216) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 5400000000000000016777216) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 7899999999999999706398720) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 7899999999999999706398720) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha -3256237484844319/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 1 (.f64 1/2 alpha)) 2) (if (<=.f64 alpha -4558654696180483/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 2 2) (if (<=.f64 alpha 3152519739159347/2251799813685248) (/.f64 (-.f64 1 (.f64 1/2 alpha)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha -3256237484844319/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -4558654696180483/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) 1 (if (<=.f64 alpha 3152519739159347/2251799813685248) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha -3256237484844319/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 alpha -4558654696180483/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 2 2) (if (<=.f64 alpha 5404319552844595/9007199254740992) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha -3256237484844319/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 alpha -4558654696180483/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) 1 (if (<=.f64 alpha 5404319552844595/9007199254740992) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha 5400000000000000016777216) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 5400000000000000016777216) 1 (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)
1

Compiler

Compiled 291 to 223 computations (23.4% saved)

soundness486.0ms (3.5%)

Rules

1232×	`log-prod`
1232×	`log-prod`
1174×	`fma-def`
1174×	`fma-def`
1100×	`sub-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	25	37
2	42	37
3	70	37
4	122	37
5	242	33
6	449	33
7	759	33
8	1616	33
9	3796	33
10	7629	33
0	11	69
1	259	69
2	3902	69
0	11	69
1	259	69
2	3902	69
0	20	125
1	473	117
2	7269	117

Stop Event

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

Compiler

Compiled 192 to 129 computations (32.8% saved)

end157.0ms (1.1%)

Compiler: Compiled 572 to 418 computations (26.9% saved)

Details

analyze1.2s (9%)

sample4.3s (31.2%)

preprocess84.0ms (0.6%)

simplify81.0ms (0.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize180.0ms (1.3%)

series8.0ms (0.1%)

rewrite110.0ms (0.8%)

simplify185.0ms (1.3%)

eval612.0ms (4.4%)

prune147.0ms (1.1%)

localize875.0ms (6.3%)

series43.0ms (0.3%)

rewrite155.0ms (1.1%)

simplify452.0ms (3.3%)

eval1.2s (8.4%)

prune269.0ms (1.9%)

localize487.0ms (3.5%)

series15.0ms (0.1%)

rewrite129.0ms (0.9%)

simplify159.0ms (1.2%)

eval177.0ms (1.3%)

prune115.0ms (0.8%)

localize747.0ms (5.4%)

series10.0ms (0.1%)

rewrite140.0ms (1%)

simplify162.0ms (1.2%)

eval251.0ms (1.8%)

prune130.0ms (0.9%)

regimes146.0ms (1.1%)

regimes44.0ms (0.3%)

regimes35.0ms (0.3%)

regimes25.0ms (0.2%)

regimes25.0ms (0.2%)

regimes21.0ms (0.2%)

regimes25.0ms (0.2%)

regimes53.0ms (0.4%)

regimes37.0ms (0.3%)

regimes27.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

bsearch26.0ms (0.2%)

bsearch29.0ms (0.2%)

bsearch24.0ms (0.2%)

bsearch75.0ms (0.5%)

bsearch65.0ms (0.5%)

bsearch23.0ms (0.2%)

simplify21.0ms (0.1%)

soundness486.0ms (3.5%)

end157.0ms (1.1%)

Profiling