Metrics for Octave 3.8, jcobi/1

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.3s (15.4%)

Results

861.0ms	6554×	body	256	valid
267.0ms	1030×	body	1024	valid
126.0ms	598×	body	512	valid
32.0ms	74×	body	2048	valid

Bogosity

preprocess153.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1434×	`sub-neg`
1296×	`div-sub`
860×	`distribute-lft-neg-in`
732×	`fma-def`
594×	`neg-mul-1`

Problems

180×	No Errors
76×	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	367
1	89	359
2	199	351
3	536	343
4	1567	343
5	4659	343
6	7229	343

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 66 to 35 computations (47% saved)

eval2.0ms (0%)

Compiler: Compiled 67 to 44 computations (34.3% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	72.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize76.0ms (0.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	72.8%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 51 to 24 computations (52.9% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite162.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1241×	`log1p-expm1-u`
1122×	`expm1-log1p-u`
354×	`log1p-udef`
352×	`expm1-udef`
96×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	199	80
2	3149	80

Stop Event

1×	node limit

Counts

2 → 74

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

simplify104.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1312×	`cancel-sign-sub-inv`
1002×	`fma-neg`
806×	`unswap-sqr`
600×	`sub-neg`
512×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	386	9396
1	1140	9042
2	4296	8889

Stop Event

1×	node limit

Counts

122 → 234

Calls

Call 1

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

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

eval132.0ms (1.6%)

Compiler: Compiled 7369 to 5271 computations (28.5% saved)

prune59.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	222	12	234
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	222	13	235

Accuracy

99.7%

Counts

235 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.2%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	43.9%	(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) 2)
▶	73.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	29.8%	(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
	45.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	72.8%	(/.f64 (+.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1) 2)
	72.5%	(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) 1) 2)
✓	72.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	71.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	31.6%	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
	3.8%	(/.f64 (+.f64 -1 1) 2)
	72.8%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	38.4%	(/.f64 2 2)
▶	31.2%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	43.9%	(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) 2)
▶	73.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	29.8%	(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
	45.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	72.8%	(/.f64 (+.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1) 2)
	72.5%	(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) 1) 2)
✓	72.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	71.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	31.6%	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
	3.8%	(/.f64 (+.f64 -1 1) 2)
	72.8%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	38.4%	(/.f64 2 2)

Compiler

Compiled 846 to 638 computations (24.6% saved)

localize364.0ms (4.3%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)
✓	98.5%	(*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta))
✓	96.5%	(/.f64 (+.f64 2 beta) (pow.f64 alpha 2))
✓	94.9%	(-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
✓	100.0%	(+.f64 beta (+.f64 2 beta))
✓	99.6%	(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
✓	100.0%	(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
✓	100.0%	(/.f64 beta (+.f64 2 beta))
✓	100.0%	(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
✓	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	100.0%	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	72.8%	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 221 to 146 computations (33.9% saved)

series25.0ms (0.3%)

Counts

12 → 240

Calls

63 calls:

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

rewrite166.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

277×	`log1p-expm1-u`
277×	`expm1-log1p-u`
266×	`add-cube-cbrt`
265×	`add-exp-log`
265×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	432
1	558	408

Stop Event

1×	node limit

Counts

12 → 384

Calls

Call 1

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

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

simplify258.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1448×	`fma-def`
898×	`times-frac`
422×	`sqr-pow`
406×	`unswap-sqr`
402×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1206	37989
1	3556	35501

Stop Event

1×	node limit

Counts

624 → 875

Calls

Call 1

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

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

eval803.0ms (9.5%)

Compiler: Compiled 25632 to 18468 computations (27.9% saved)

prune229.0ms (2.7%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	864	11	875
Fresh	6	1	7
Picked	1	4	5
Done	0	1	1
Total	871	17	888

Accuracy

99.9%

Counts

888 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.2%	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3) alpha) 2)
✓	31.2%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	9.0%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
▶	25.9%	(/.f64 (/.f64 2 alpha) 2)
	43.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)) 2)
▶	72.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2)
	31.2%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
✓	73.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	30.1%	(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 2 beta) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
▶	31.6%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
▶	32.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	45.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	72.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	71.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	42.1%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	31.2%	(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
✓	38.4%	(/.f64 2 2)
	30.2%	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3) alpha) 2)
✓	31.2%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	9.0%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
▶	25.9%	(/.f64 (/.f64 2 alpha) 2)
	43.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)) 2)
▶	72.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2)
	31.2%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
✓	73.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	30.1%	(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 2 beta) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
▶	31.6%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
▶	32.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	45.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	72.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	71.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	42.1%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	31.2%	(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
✓	38.4%	(/.f64 2 2)

Compiler

Compiled 842 to 636 computations (24.5% saved)

localize316.0ms (3.7%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
✓	100.0%	(/.f64 alpha (+.f64 alpha 2))
✓	66.4%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
✓	100.0%	(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1))
	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	100.0%	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	72.5%	(fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)

Compiler

Compiled 170 to 111 computations (34.7% saved)

series10.0ms (0.1%)

Counts

6 → 120

Calls

30 calls:

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

rewrite127.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`log1p-expm1-u`
616×	`expm1-udef`
614×	`log1p-udef`
204×	`associate-r`
174×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	199
1	357	191
2	5813	191

Stop Event

1×	node limit

Counts

6 → 183

Calls

Call 1

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

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

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

266×	`+-commutative`
230×	`*-commutative`
144×	`fma-def`
138×	`sqr-pow`
124×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	712	16891
1	2012	16891

Stop Event

1×

unsound

Counts

303 → 382

Calls

Call 1

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

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

eval261.0ms (3.1%)

Compiler: Compiled 12191 to 9072 computations (25.6% saved)

prune113.0ms (1.3%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	461	4	465
Fresh	0	7	7
Picked	1	4	5
Done	0	5	5
Total	462	20	482

Accuracy

99.9%

Counts

482 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.2%	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3) alpha) 2)
✓	31.2%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	9.0%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
✓	25.9%	(/.f64 (/.f64 2 alpha) 2)
	43.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)) 2)
✓	72.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2)
▶	31.2%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
✓	73.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	30.1%	(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 2 beta) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
✓	32.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	34.4%	(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
✓	45.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	44.1%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	72.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	71.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	42.1%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	31.2%	(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
✓	38.4%	(/.f64 2 2)
▶	46.2%	(/.f64 1 2)
▶	3.8%	(/.f64 0 2)
	30.2%	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3) alpha) 2)
✓	31.2%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	9.0%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
✓	25.9%	(/.f64 (/.f64 2 alpha) 2)
	43.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)) 2)
✓	72.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2)
▶	31.2%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
✓	73.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	30.1%	(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 2 beta) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
✓	32.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	34.4%	(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
✓	45.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	44.1%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	72.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	71.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	42.1%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	31.2%	(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
✓	38.4%	(/.f64 2 2)
▶	46.2%	(/.f64 1 2)
▶	3.8%	(/.f64 0 2)

Compiler

Compiled 812 to 626 computations (22.9% saved)

localize126.0ms (1.5%)

Localize:

Found 5 expressions with local error:

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

Compiler

Compiled 114 to 76 computations (33.3% saved)

series9.0ms (0.1%)

Counts

4 → 72

Calls

24 calls:

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

rewrite120.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1085×	`log1p-expm1-u`
588×	`expm1-udef`
588×	`log1p-udef`
210×	`associate-r`
157×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	115
1	313	115
2	5307	115

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

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

simplify135.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1336×	`fma-neg`
1096×	`div-sub`
596×	`log-prod`
416×	`fma-def`
408×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	10621
1	1277	9385
2	5509	9377

Stop Event

1×	node limit

Counts

211 → 250

Calls

Call 1

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

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

eval145.0ms (1.7%)

Compiler: Compiled 7772 to 5328 computations (31.4% saved)

prune72.0ms (0.9%)

Pruning

23 alts after pruning (10 fresh and 13 done)

	Pruned	Kept	Total
New	329	4	333
Fresh	0	6	6
Picked	1	4	5
Done	0	9	9
Total	330	23	353

Accuracy

99.9%

Counts

353 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.2%	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3) alpha) 2)
✓	31.2%	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	26.5%	(/.f64 (/.f64 (+.f64 2 beta) alpha) 2)
	9.0%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
	4.8%	(/.f64 (/.f64 beta alpha) 2)
✓	25.9%	(/.f64 (/.f64 2 alpha) 2)
	43.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)) 2)
✓	72.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2)
	9.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
✓	73.4%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	31.2%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 1 alpha) (-.f64 -2 beta))) 2)
	30.1%	(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 2 beta) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
✓	32.0%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	34.4%	(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
✓	45.8%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	44.1%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	72.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	71.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	42.1%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	31.2%	(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
✓	38.4%	(/.f64 2 2)
✓	46.2%	(/.f64 1 2)
✓	3.8%	(/.f64 0 2)

Compiler

Compiled 712 to 522 computations (26.7% saved)

regimes116.0ms (1.4%)

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

44.0ms	beta
31.0ms	alpha
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
94.6%	2	`alpha`
75.7%	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 464 to 328 computations (29.3% saved)

regimes33.0ms (0.4%)

Counts

25 → 2

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 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 1 alpha) (-.f64 -2 beta))) 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 (+.f64 2 beta) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)

Outputs

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

13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(+.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 284 to 207 computations (27.1% saved)

regimes33.0ms (0.4%)

Counts

24 → 2

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 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 1 alpha) (-.f64 -2 beta))) 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:

13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

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

Compiler

Compiled 261 to 192 computations (26.4% saved)

regimes33.0ms (0.4%)

Counts

23 → 2

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 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 1 alpha) (-.f64 -2 beta))) 2)

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

Calls

3 calls:

15.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

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

Compiler

Compiled 242 to 179 computations (26% saved)

regimes29.0ms (0.3%)

Counts

21 → 2

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)

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

Calls

3 calls:

12.0ms	(/.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
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 210 to 157 computations (25.2% saved)

regimes43.0ms (0.5%)

Counts

18 → 2

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)

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

Calls

1 calls:

39.0ms

alpha

Results

Accuracy	Segments	Branch
93.8%	2	`alpha`

Compiler

Compiled 134 to 106 computations (20.9% saved)

regimes23.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

alpha

Results

Accuracy	Segments	Branch
89.1%	2	`alpha`

Compiler

Compiled 91 to 74 computations (18.7% saved)

regimes47.0ms (0.6%)

Counts

11 → 4

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	beta
14.0ms	alpha

Results

Accuracy	Segments	Branch
72.8%	4	`beta`
68.4%	2	`alpha`

Compiler

Compiled 67 to 55 computations (17.9% saved)

regimes21.0ms (0.2%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

beta

Results

Accuracy	Segments	Branch
72.4%	4	`beta`

Compiler

Compiled 43 to 37 computations (14% saved)

regimes19.0ms (0.2%)

Counts

6 → 4

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)

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

Calls

1 calls:

18.0ms

beta

Results

Accuracy	Segments	Branch
72.2%	4	`beta`

Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes8.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)

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

Calls

1 calls:

7.0ms

beta

Results

Accuracy	Segments	Branch
69.8%	2	`beta`

Compiler

Compiled 19 to 18 computations (5.3% saved)

regimes8.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 1 2)

Outputs
(/.f64 1 2)

Calls

2 calls:

4.0ms	beta
3.0ms	alpha

Results

Accuracy	Segments	Branch
46.2%	1	`alpha`
46.2%	1	`beta`

Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 0 2)

Outputs
(/.f64 0 2)

Calls

2 calls:

3.0ms	beta
3.0ms	alpha

Results

Accuracy	Segments	Branch
3.8%	1	`alpha`
3.8%	1	`beta`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999589557245	-0.9999827526360008

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999589557245	-0.9999827526360008

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999807995	-0.9999999589557245

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999807995	-0.9999999589557245

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999807995	-0.9999999589557245

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch45.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	1.5142657720296865e+43	8.887583886445308e+45

Results

43.0ms

128×

body

256

valid

Compiler

Compiled 212 to 167 computations (21.2% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.5142657720296865e+43	8.887583886445308e+45

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 196 to 159 computations (18.9% saved)

bsearch56.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	2.4609765534855786e-8	5.577218862119545
16.0ms	-2.90264994146527e-192	-3.202659660864954e-193
18.0ms	-2.18129858155455e-146	-3.9409886311934496e-147

Results

30.0ms	244×	body	256	valid
12.0ms	52×	body	1024	valid
5.0ms	28×	body	512	valid
3.0ms	12×	body	2048	valid

Compiler

Compiled 416 to 369 computations (11.3% saved)

bsearch56.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
24.0ms	2.4609765534855786e-8	5.577218862119545
16.0ms	-2.90264994146527e-192	-3.202659660864954e-193
16.0ms	-2.18129858155455e-146	-3.9409886311934496e-147

Results

26.0ms	231×	body	256	valid
15.0ms	67×	body	1024	valid
7.0ms	29×	body	512	valid
3.0ms	9×	body	2048	valid

Compiler

Compiled 380 to 342 computations (10% saved)

bsearch55.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
26.0ms	2.4609765534855786e-8	5.577218862119545
15.0ms	-2.90264994146527e-192	-3.202659660864954e-193
15.0ms	-2.18129858155455e-146	-3.9409886311934496e-147

Results

28.0ms	251×	body	256	valid
14.0ms	57×	body	1024	valid
4.0ms	21×	body	512	valid
2.0ms	7×	body	2048	valid

Compiler

Compiled 296 to 279 computations (5.7% saved)

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.4609765534855786e-8	5.577218862119545

Results

12.0ms	108×	body	256	valid
5.0ms	23×	body	1024	valid
2.0ms	10×	body	512	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

96×	`+-commutative`
78×	`sub-neg`
76×	`neg-mul-1`
76×	`neg-sub0`
56×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1307
1	129	1307
2	163	1307
3	212	1307
4	247	1307
5	285	1307
6	336	1307
7	390	1307
8	439	1307
9	464	1307
10	467	1307

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007109182748445/9007199254740992) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 2 beta) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007109182748445/9007199254740992) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 2 beta) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) 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)) -4503599447226511/4503599627370496) (/.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)) -4503599447226511/4503599627370496) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.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 alpha beta) 2)) -4503599447226511/4503599627370496) (/.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 16000000000000000718171402849214668568788992) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 15500000000000000773099798965512977357209600) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 beta) alpha) 2))
(if (<=.f64 beta -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta -7191592052898167/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -8098044830177753/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta -6934749479580375/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (/.f64 1 2) (if (<=.f64 beta -7448434626215959/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)
(/.f64 0 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007109182748445/9007199254740992) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 2 beta) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007109182748445/9007199254740992) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007109182748445/9007199254740992) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007109182748445/9007199254740992) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 2 beta) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) 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)) -9007109182748445/9007199254740992) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) 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)) -9007109182748445/9007199254740992) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007109182748445/9007199254740992) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 beta (-.f64 -2 beta)) 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)) -4503599447226511/4503599627370496) (/.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)) -4503599447226511/4503599627370496) (/.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)) -4503599447226511/4503599627370496) (/.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 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503599447226511/4503599627370496) (/.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)) -4503599447226511/4503599627370496) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.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)) -4503599447226511/4503599627370496) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503599447226511/4503599627370496) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta -2) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503599447226511/4503599627370496) (/.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)) -4503599447226511/4503599627370496) (/.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 16000000000000000718171402849214668568788992) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 16000000000000000718171402849214668568788992) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 15500000000000000773099798965512977357209600) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 beta) alpha) 2))
(if (<=.f64 alpha 15500000000000000773099798965512977357209600) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta -7191592052898167/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta -7191592052898167/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -8098044830177753/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta -6934749479580375/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta -8098044830177753/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta -6934749479580375/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) 1)))
(if (<=.f64 beta -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (/.f64 1 2) (if (<=.f64 beta -7448434626215959/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) 1/2 (if (<=.f64 beta -7448434626215959/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) 1/2 1)))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2
(/.f64 0 2)
0

Compiler

Compiled 395 to 287 computations (27.3% saved)

soundness2.2s (25.5%)

Rules

1448×	`fma-def`
1448×	`fma-def`
1448×	`fma-def`
1448×	`fma-def`
1434×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	367
1	89	359
2	199	351
3	536	343
4	1567	343
5	4659	343
6	7229	343
0	386	9396
1	1140	9042
2	4296	8889
0	28	432
1	558	408
0	1206	37989
1	3556	35501
0	14	80
1	199	80
2	3149	80
0	28	432
1	558	408
0	386	9396
1	1140	9042
2	4296	8889
0	712	16891
1	2012	16891
0	386	9396
1	1140	9042
2	4296	8889
0	1206	37989
1	3556	35501
0	1206	37989
1	3556	35501
0	1206	37989
1	3556	35501

Stop Event

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

Compiler

Compiled 773 to 554 computations (28.3% saved)

end0.0ms (0%)

preprocess196.0ms (2.3%)

Compiler: Compiled 772 to 532 computations (31.1% saved)

analyze0.0ms (0%)

sample1.3s (15.4%)

preprocess153.0ms (1.8%)

eval2.0ms (0%)

prune2.0ms (0%)

localize76.0ms (0.9%)

series10.0ms (0.1%)

rewrite162.0ms (1.9%)

simplify104.0ms (1.2%)

eval132.0ms (1.6%)

prune59.0ms (0.7%)

localize364.0ms (4.3%)

series25.0ms (0.3%)

rewrite166.0ms (2%)

simplify258.0ms (3.1%)

eval803.0ms (9.5%)

prune229.0ms (2.7%)

localize316.0ms (3.7%)

series10.0ms (0.1%)

rewrite127.0ms (1.5%)

simplify99.0ms (1.2%)

eval261.0ms (3.1%)

prune113.0ms (1.3%)

localize126.0ms (1.5%)

series9.0ms (0.1%)

rewrite120.0ms (1.4%)

simplify135.0ms (1.6%)

eval145.0ms (1.7%)

prune72.0ms (0.9%)

regimes116.0ms (1.4%)

regimes33.0ms (0.4%)

regimes33.0ms (0.4%)

regimes33.0ms (0.4%)

regimes29.0ms (0.3%)

regimes43.0ms (0.5%)

regimes23.0ms (0.3%)

regimes47.0ms (0.6%)

regimes21.0ms (0.2%)

regimes19.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch45.0ms (0.5%)

bsearch17.0ms (0.2%)

bsearch56.0ms (0.7%)

bsearch56.0ms (0.7%)

bsearch55.0ms (0.7%)

bsearch26.0ms (0.3%)

simplify50.0ms (0.6%)

soundness2.2s (25.5%)

end0.0ms (0%)

preprocess196.0ms (2.3%)

Profiling