Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.2s (13.3%)

Results

758.0ms	6417×	body	256	valid
307.0ms	1056×	body	1024	valid
110.0ms	662×	body	512	valid
32.0ms	121×	body	2048	valid

Bogosity

preprocess85.0ms (0.9%)

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 (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

73.2%

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	73.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize68.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	73.3%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 51 to 24 computations (52.9% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite114.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

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

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

simplify138.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

192 → 390

Calls

Call 1

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

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

eval254.0ms (2.8%)

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

prune95.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

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

Accurracy

99.9%

Counts

391 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.5%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
▶	74.0%	(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	30.8%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	74.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) 3) (+.f64 -1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))) 2)
	74.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	25.1%	(/.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) 2)
	50.5%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	73.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	70.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	25.1%	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	73.2%	(/.f64 (+.f64 (log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) 2)
	3.7%	(/.f64 (+.f64 -1 1) 2)
▶	33.4%	(/.f64 2 2)
	29.5%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
▶	74.0%	(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	30.8%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	74.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) 3) (+.f64 -1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))) 2)
	74.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	25.1%	(/.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) 2)
	50.5%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	73.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	70.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	25.1%	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	73.2%	(/.f64 (+.f64 (log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) 2)
	3.7%	(/.f64 (+.f64 -1 1) 2)
▶	33.4%	(/.f64 2 2)

Compiler

Compiled 778 to 590 computations (24.2% saved)

localize236.0ms (2.6%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 alpha beta) (/.f64 2 beta))
✓	100.0%	(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
✓	100.0%	(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
✓	100.0%	(+.f64 beta (+.f64 2 beta))
✓	100.0%	(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
✓	100.0%	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	100.0%	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	73.3%	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 195 to 122 computations (37.4% saved)

series14.0ms (0.2%)

Counts

8 → 180

Calls

45 calls:

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

rewrite113.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`add-sqr-sqrt`
594×	`pow1`
594×	`*-un-lft-identity`
564×	`add-exp-log`
564×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	206
1	565	200

Stop Event

1×	node limit

Counts

8 → 278

Calls

Call 1

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

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

simplify217.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1078×	`fma-def`
654×	`times-frac`
626×	`distribute-rgt-in`
590×	`distribute-lft-in`
584×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	971	20232
1	2786	17308

Stop Event

1×	node limit

Counts

458 → 621

Calls

Call 1

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

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

eval610.0ms (6.6%)

Compiler: Compiled 18168 to 12321 computations (32.2% saved)

prune148.0ms (1.6%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	612	9	621
Fresh	3	4	7
Picked	1	4	5
Done	0	1	1
Total	616	18	634

Accurracy

99.9%

Counts

634 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.5%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
	74.0%	(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))) 2)
	30.8%	(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) 2)
✓	74.0%	(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
	72.0%	(/.f64 (fma.f64 beta (exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	30.8%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	9.8%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
▶	24.8%	(/.f64 (/.f64 2 alpha) 2)
	30.8%	(/.f64 (/.f64 1 (/.f64 alpha (+.f64 beta (+.f64 beta 2)))) 2)
▶	74.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	25.1%	(/.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (+.f64 alpha 2) beta)) 2)
	25.1%	(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
▶	50.5%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	73.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	70.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	73.2%	(/.f64 (+.f64 (log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) 2)
	25.3%	(/.f64 (+.f64 2 (/.f64 -2 beta)) 2)
✓	33.4%	(/.f64 2 2)
	29.5%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
	74.0%	(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))) 2)
	30.8%	(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) 2)
✓	74.0%	(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
	72.0%	(/.f64 (fma.f64 beta (exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	30.8%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	9.8%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
▶	24.8%	(/.f64 (/.f64 2 alpha) 2)
	30.8%	(/.f64 (/.f64 1 (/.f64 alpha (+.f64 beta (+.f64 beta 2)))) 2)
▶	74.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	25.1%	(/.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (+.f64 alpha 2) beta)) 2)
	25.1%	(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
▶	50.5%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	73.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	70.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	73.2%	(/.f64 (+.f64 (log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) 2)
	25.3%	(/.f64 (+.f64 2 (/.f64 -2 beta)) 2)
✓	33.4%	(/.f64 2 2)

Compiler

Compiled 1002 to 752 computations (25% saved)

localize329.0ms (3.6%)

Local Accuracy

Found 11 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
✓	99.6%	(expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
✓	73.3%	(+.f64 (log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)
✓	100.0%	(/.f64 (+.f64 alpha 2) beta)
✓	100.0%	(-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (+.f64 alpha 2) beta))
✓	100.0%	(/.f64 alpha (+.f64 alpha 2))
✓	66.5%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
	100.0%	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
	73.3%	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 227 to 138 computations (39.2% saved)

series15.0ms (0.2%)

Counts

9 → 192

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	-inf	(-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (+.f64 alpha 2) beta))
1.0ms	alpha	@	0	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
1.0ms	alpha	@	0	(expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
1.0ms	beta	@	0	(expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
1.0ms	alpha	@	-inf	(expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))

rewrite151.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`expm1-udef`
518×	`add-sqr-sqrt`
512×	`pow1`
510×	`*-un-lft-identity`
486×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	205
1	487	205
2	7828	205

Stop Event

1×	node limit

Counts

9 → 341

Calls

Call 1

Inputs
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (+.f64 alpha 2) beta))
(/.f64 (+.f64 alpha 2) beta)
(+.f64 (log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)
(expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))

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

simplify193.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1550×	`fma-def`
850×	`distribute-lft-in`
674×	`times-frac`
532×	`sub-neg`
468×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1148	25231
1	3472	23989

Stop Event

1×	node limit

Counts

533 → 708

Calls

Call 1

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

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

eval518.0ms (5.6%)

Compiler: Compiled 25846 to 18179 computations (29.7% saved)

prune279.0ms (3%)

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	882	8	890
Fresh	3	5	8
Picked	1	4	5
Done	0	5	5
Total	886	22	908

Accurracy

100.0%

Counts

908 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.5%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
✓	74.0%	(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
	72.0%	(/.f64 (fma.f64 beta (exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	30.8%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	9.8%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
✓	24.8%	(/.f64 (/.f64 2 alpha) 2)
▶	30.8%	(/.f64 (/.f64 1 (/.f64 alpha (+.f64 beta (+.f64 beta 2)))) 2)
▶	74.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) 2)
	30.8%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 2)
✓	74.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	23.6%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	29.0%	(/.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 alpha beta)) 2)
	73.3%	(/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	25.1%	(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
	25.3%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	50.5%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	48.5%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	73.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	70.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	73.2%	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
✓	73.2%	(/.f64 (+.f64 (log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) 2)
✓	33.4%	(/.f64 2 2)
▶	29.5%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
✓	74.0%	(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
	72.0%	(/.f64 (fma.f64 beta (exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	30.8%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	9.8%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
✓	24.8%	(/.f64 (/.f64 2 alpha) 2)
▶	30.8%	(/.f64 (/.f64 1 (/.f64 alpha (+.f64 beta (+.f64 beta 2)))) 2)
▶	74.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) 2)
	30.8%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 2)
✓	74.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	23.6%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	29.0%	(/.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 alpha beta)) 2)
	73.3%	(/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	25.1%	(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
	25.3%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	50.5%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	48.5%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	73.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	70.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	73.2%	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
✓	73.2%	(/.f64 (+.f64 (log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) 2)
✓	33.4%	(/.f64 2 2)

Compiler

Compiled 1114 to 830 computations (25.5% saved)

localize430.0ms (4.7%)

Local Accuracy

Found 14 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 2 beta) alpha)
	100.0%	(+.f64 beta (+.f64 2 beta))
✓	100.0%	(-.f64 (-.f64 -2 beta) beta)
✓	97.4%	(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
✓	100.0%	(/.f64 alpha (+.f64 beta (+.f64 beta 2)))
✓	100.0%	(+.f64 beta (+.f64 beta 2))
✓	99.9%	(/.f64 1 (/.f64 alpha (+.f64 beta (+.f64 beta 2))))
✓	100.0%	(-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta))
✓	100.0%	(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
✓	100.0%	(+.f64 alpha (+.f64 alpha 2))
✓	100.0%	(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	99.9%	(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
✓	73.3%	(+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)

Compiler

Compiled 316 to 208 computations (34.2% saved)

series30.0ms (0.3%)

Counts

12 → 252

Calls

63 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	inf	(/.f64 alpha (+.f64 beta (+.f64 beta 2)))
4.0ms	beta	@	0	(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
4.0ms	alpha	@	-inf	(/.f64 (+.f64 2 beta) alpha)
1.0ms	alpha	@	-inf	(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
1.0ms	alpha	@	inf	(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))

rewrite114.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`add-sqr-sqrt`
734×	`pow1`
732×	`*-un-lft-identity`
696×	`add-exp-log`
696×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	308
1	785	308

Stop Event

1×	node limit

Counts

12 → 245

Calls

Call 1

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

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

simplify180.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1050×	`fma-def`
942×	`associate-r`
648×	`times-frac`
518×	`distribute-lft-in`
502×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	861	19367
1	2452	17509

Stop Event

1×	node limit

Counts

497 → 556

Calls

Call 1

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

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

eval450.0ms (4.9%)

Compiler: Compiled 24198 to 17320 computations (28.4% saved)

prune151.0ms (1.6%)

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	693	6	699
Fresh	1	7	8
Picked	4	1	5
Done	1	8	9
Total	699	22	721

Accurracy

100.0%

Counts

721 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.4%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
	72.0%	(/.f64 (fma.f64 beta (exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	30.8%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	9.8%	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
✓	24.8%	(/.f64 (/.f64 2 alpha) 2)
	9.8%	(/.f64 (/.f64 1 (/.f64 alpha (+.f64 beta beta))) 2)
	30.8%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
	74.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) 2)
✓	74.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	23.6%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	29.0%	(/.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 alpha beta)) 2)
	73.3%	(/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	29.0%	(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
	25.3%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	50.5%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	48.5%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	73.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	70.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	73.2%	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
	29.5%	(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2)
✓	73.2%	(/.f64 (+.f64 (log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) 2)
✓	33.4%	(/.f64 2 2)

Compiler

Compiled 898 to 639 computations (28.8% saved)

regimes132.0ms (1.4%)

Counts

37 → 2

Calls

Call 1

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

Outputs

(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)

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

Calls

5 calls:

51.0ms	beta
31.0ms	alpha
20.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
94.4%	2	`alpha`
75.9%	3	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 599 to 416 computations (30.6% saved)

regimes44.0ms (0.5%)

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

18.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(+.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
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 569 to 396 computations (30.4% saved)

regimes40.0ms (0.4%)

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

16.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

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

Compiler

Compiled 470 to 324 computations (31.1% saved)

regimes55.0ms (0.6%)

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

24.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
15.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

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

Compiler

Compiled 381 to 263 computations (31% saved)

regimes81.0ms (0.9%)

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

53.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
16.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms	(+.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 303 to 212 computations (30% saved)

regimes39.0ms (0.4%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
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 284 to 199 computations (29.9% saved)

regimes30.0ms (0.3%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
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 253 to 178 computations (29.6% saved)

regimes27.0ms (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 -2 beta)) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
(/.f64 (/.f64 1 (/.f64 alpha (+.f64 beta beta))) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 alpha beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (/.f64 1 (/.f64 alpha (+.f64 beta (+.f64 beta 2)))) 2)
(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (+.f64 alpha 2) beta)) 2)

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 223 to 160 computations (28.3% saved)

regimes57.0ms (0.6%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

52.0ms

alpha

Results

Accuracy	Segments	Branch
92.6%	2	`alpha`

Compiler

Compiled 148 to 110 computations (25.7% saved)

regimes21.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

alpha

Results

Accuracy	Segments	Branch
86.4%	2	`alpha`

Compiler

Compiled 82 to 63 computations (23.2% saved)

regimes42.0ms (0.5%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	beta
18.0ms	alpha

Results

Accuracy	Segments	Branch
70.6%	4	`beta`
72.8%	4	`alpha`

Compiler

Compiled 49 to 40 computations (18.4% saved)

regimes35.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	beta
10.0ms	alpha

Results

Accuracy	Segments	Branch
47.7%	2	`beta`
49.5%	2	`alpha`

Compiler

Compiled 28 to 24 computations (14.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -19.2b remaining (-45.1%)

Threshold costs -19.2b (-45.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 2 2)

Calls

2 calls:

3.0ms	alpha
3.0ms	beta

Results

Accuracy	Segments	Branch
33.4%	1	`beta`
33.4%	1	`alpha`

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999998805	-0.999596543939954

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999998805	-0.999596543939954

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999998805	-0.999596543939954

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999998805	-0.999596543939954

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999998805	-0.999596543939954

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999998805	-0.999596543939954

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999998805	-0.999596543939954

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999998805	-0.999596543939954

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.610048119615813e+34	1.3202766123546628e+40

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 236 to 186 computations (21.2% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	4.610048119615813e+34	1.3202766123546628e+40

Results

18.0ms

144×

body

256

valid

Compiler

Compiled 200 to 168 computations (16% saved)

bsearch36.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
18.0ms	5.09244040440445e-11	9481.747410532185
16.0ms	-1.5131750546848998e-120	-5.8706070338343296e-124
2.0ms	-5.354412641768711e-95	-8.833576433712849e-97

Results

32.0ms

304×

body

256

valid

Compiler

Compiled 344 to 310 computations (9.9% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.610048119615813e+34	1.3202766123546628e+40

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 146 to 132 computations (9.6% saved)

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

268×	`unsub-neg`
146×	`neg-mul-1`
100×	`+-commutative`
74×	`distribute-neg-out`
68×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1301
1	131	1301
2	165	1301
3	208	1297
4	261	1297
5	358	1297
6	412	1297
7	497	1297
8	601	1297
9	652	1297
10	694	1297
11	711	1297
12	713	1297

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2) (/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 47000000000000001477261122514976768) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 47000000000000001477261122514976768) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha -3757668132438133/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -8722064691547283/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 2 2) (if (<=.f64 alpha 1) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha 24999999999999999437202455864008507392) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2) (/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (+.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (-.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (+.f64 (log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta -2) alpha)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 1 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta -2) alpha)) 2) (/.f64 (+.f64 1 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (+.f64 1 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1125449546879887/1125899906842624) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 47000000000000001477261122514976768) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 47000000000000001477261122514976768) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 47000000000000001477261122514976768) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 47000000000000001477261122514976768) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha -3757668132438133/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -8722064691547283/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 2 2) (if (<=.f64 alpha 1) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha -3757668132438133/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -8722064691547283/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) 1 (if (<=.f64 alpha 1) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha 24999999999999999437202455864008507392) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 24999999999999999437202455864008507392) 1 (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)
1

Compiler

Compiled 489 to 345 computations (29.4% saved)

soundness1.9s (20.6%)

Rules

1550×	`fma-def`
1380×	`fma-neg`
1380×	`fma-neg`
1380×	`fma-neg`
1232×	`log-prod`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	25	37
2	42	37
3	70	37
4	122	37
5	242	33
6	449	33
7	759	33
8	1616	33
9	3796	33
10	7629	33
0	510	10982
1	1409	10596
2	4973	10328
0	31	308
1	785	308
0	11	56
1	259	56
2	3902	56
0	21	205
1	487	205
2	7828	205
0	510	10982
1	1409	10596
2	4973	10328
0	510	10982
1	1409	10596
2	4973	10328
0	1148	25231
1	3472	23989
0	11	56
1	259	56
2	3902	56
0	21	205
1	487	205
2	7828	205
0	23	206
1	565	200
0	861	19367
1	2452	17509
0	31	308
1	785	308
0	11	56
1	259	56
2	3902	56

Stop Event

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

Compiler

Compiled 1278 to 890 computations (30.4% saved)

end279.0ms (3%)

Compiler: Compiled 960 to 632 computations (34.2% saved)

Details

analyze0.0ms (0%)

sample1.2s (13.3%)

preprocess85.0ms (0.9%)

simplify81.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize68.0ms (0.7%)

series7.0ms (0.1%)

rewrite114.0ms (1.2%)

simplify138.0ms (1.5%)

eval254.0ms (2.8%)

prune95.0ms (1%)

localize236.0ms (2.6%)

series14.0ms (0.2%)

rewrite113.0ms (1.2%)

simplify217.0ms (2.4%)

eval610.0ms (6.6%)

prune148.0ms (1.6%)

localize329.0ms (3.6%)

series15.0ms (0.2%)

rewrite151.0ms (1.6%)

simplify193.0ms (2.1%)

eval518.0ms (5.6%)

prune279.0ms (3%)

localize430.0ms (4.7%)

series30.0ms (0.3%)

rewrite114.0ms (1.2%)

simplify180.0ms (2%)

eval450.0ms (4.9%)

prune151.0ms (1.6%)

regimes132.0ms (1.4%)

regimes44.0ms (0.5%)

regimes40.0ms (0.4%)

regimes55.0ms (0.6%)

regimes81.0ms (0.9%)

regimes39.0ms (0.4%)

regimes30.0ms (0.3%)

regimes27.0ms (0.3%)

regimes57.0ms (0.6%)

regimes21.0ms (0.2%)

regimes42.0ms (0.5%)

regimes35.0ms (0.4%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch36.0ms (0.4%)

bsearch17.0ms (0.2%)

simplify60.0ms (0.7%)

soundness1.9s (20.6%)

end279.0ms (3%)

Profiling