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)

sample1.5s (16.6%)

Results

915.0ms	6581×	256	valid
367.0ms	1054×	1024	valid
149.0ms	565×	512	valid
19.0ms	56×	2048	valid

Bogosity

preprocess279.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1436×	`sub-neg`
1292×	`div-sub`
860×	`distribute-lft-neg-in`
732×	`fma-def`
594×	`neg-mul-1`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
66	1	(592.4686887189519 -1.68226471488441e-7)	-	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0	0	-	-	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0	0	-	-	`(-.f64 beta alpha)`
0	0	-	-	`(+.f64 alpha beta)`
0	0	-	-	`alpha`
0	0	-	-	`2`
0	0	-	-	`(+.f64 (+.f64 alpha beta) 2)`
0	0	-	-	`1`
0	0	-	-	`beta`
0	0	-	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	367
1	92	359
2	202	351
3	539	343
4	1571	343
5	4665	343
6	7242	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 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 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 (+.f64 beta 2) alpha))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 2)
(+.f64 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 2 (-.f64 beta alpha)))) 1/2)
(+.f64 1/2 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 (-.f64 alpha beta) -2))))
(/.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 beta alpha) (+.f64 4 (*.f64 2 (-.f64 alpha beta)))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))))
(+.f64 1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) 1/2))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2))
(/.f64 (neg.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha))))) 2)
(/.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta 2) alpha)))) 2)
(/.f64 (-.f64 -1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 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 4 (*.f64 (-.f64 alpha beta) -2))))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(neg.f64 (/.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 beta alpha) (+.f64 4 (*.f64 2 (-.f64 alpha beta)))))
(*.f64 (-.f64 -1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha)))) 1/2)
(/.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 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2))

Compiler

Compiled 117 to 59 computations (49.6% saved)

eval9.0ms (0.1%)

Compiler: Compiled 41 to 28 computations (31.7% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
▶	75.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize84.0ms (0.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
✓	75.9%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Compiler

Compiled 51 to 24 computations (52.9% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite228.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`log1p-expm1-u`
1290×	`expm1-log1p-u`
362×	`log1p-udef`
360×	`expm1-udef`
98×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	206	80
2	3296	80

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

simplify130.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	386	9396
1	1143	9042
2	4295	8889

Stop Event

1×	node limit

Counts

122 → 233

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

eval146.0ms (1.6%)

Compiler: Compiled 7344 to 5253 computations (28.5% saved)

prune57.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	223	10	233
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	223	11	234

Accuracy

100.0%

Counts

234 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.0%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	76.6%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	25.6%	(/.f64 (-.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))) 2)
▶	48.4%	(/.f64 (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha))) 2)
	26.5%	(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
	50.9%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	75.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
▶	74.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	26.0%	(/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) 2)
	3.7%	(/.f64 (+.f64 -1 1) 2)
▶	38.1%	(/.f64 2 2)
▶	28.0%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	76.6%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	25.6%	(/.f64 (-.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))) 2)
▶	48.4%	(/.f64 (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha))) 2)
	26.5%	(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
	50.9%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	75.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
▶	74.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	26.0%	(/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) 2)
	3.7%	(/.f64 (+.f64 -1 1) 2)
▶	38.1%	(/.f64 2 2)

Compiler

Compiled 826 to 638 computations (22.8% saved)

localize390.0ms (4.4%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (+.f64 2 alpha) 2)
✓	99.9%	(*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))
✓	84.7%	(/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))
✓	75.9%	(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
✓	100.0%	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
✓	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 alpha (+.f64 beta (+.f64 alpha 2)))
✓	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	75.9%	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 254 to 180 computations (29.1% saved)

series27.0ms (0.3%)

Counts

10 → 171

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	inf	(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
2.0ms	alpha	@	0	(pow.f64 (+.f64 2 alpha) 2)
1.0ms	beta	@	0	(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
1.0ms	beta	@	inf	(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
1.0ms	alpha	@	inf	(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))

rewrite173.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

290×	`log1p-expm1-u`
290×	`expm1-log1p-u`
281×	`add-cube-cbrt`
277×	`add-exp-log`
277×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	382
1	610	342

Stop Event

1×	node limit

Counts

10 → 284

Calls

Call 1

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

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

simplify259.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1638×	`fma-def`
724×	`times-frac`
684×	`distribute-rgt-in`
668×	`distribute-lft-in`
420×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1115	30377
1	3533	29517

Stop Event

1×	node limit

Counts

455 → 703

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

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

eval427.0ms (4.8%)

Compiler: Compiled 23106 to 17173 computations (25.7% saved)

prune171.0ms (1.9%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	690	13	703
Fresh	3	2	5
Picked	2	3	5
Done	0	1	1
Total	695	19	714

Accuracy

100.0%

Counts

714 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.6%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2)))) 2)) (+.f64 alpha 2)) (.f64 (-.f64 1 (.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))))) alpha)) (.f64 (-.f64 1 (.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))))) (+.f64 alpha 2))) 2)
	47.7%	(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) 3) (pow.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) 2) (-.f64 (.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) (.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) (neg.f64 (/.f64 alpha (+.f64 alpha 2))))))) 2)
✓	28.0%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	8.0%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
▶	23.7%	(/.f64 (/.f64 2 alpha) 2)
	24.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.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 (+.f64 2 beta) alpha))) 2)
	28.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 2 beta) alpha))) 2)
▶	49.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	27.2%	(/.f64 (-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -16 beta) 8) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
	48.4%	(/.f64 (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2))))) (/.f64 alpha (+.f64 2 alpha))) 2)
	26.5%	(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
▶	50.9%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	75.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	74.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	46.7%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	28.0%	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
▶	46.5%	(/.f64 (+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/2 beta))) 2)
	48.4%	(/.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2))))) 2)
✓	38.1%	(/.f64 2 2)
	48.6%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2)))) 2)) (+.f64 alpha 2)) (.f64 (-.f64 1 (.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))))) alpha)) (.f64 (-.f64 1 (.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))))) (+.f64 alpha 2))) 2)
	47.7%	(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) 3) (pow.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) 2) (-.f64 (.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) (.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) (neg.f64 (/.f64 alpha (+.f64 alpha 2))))))) 2)
✓	28.0%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	8.0%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
▶	23.7%	(/.f64 (/.f64 2 alpha) 2)
	24.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.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 (+.f64 2 beta) alpha))) 2)
	28.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 2 beta) alpha))) 2)
▶	49.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	27.2%	(/.f64 (-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -16 beta) 8) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
	48.4%	(/.f64 (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2))))) (/.f64 alpha (+.f64 2 alpha))) 2)
	26.5%	(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
▶	50.9%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	75.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	74.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	46.7%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	28.0%	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
▶	46.5%	(/.f64 (+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/2 beta))) 2)
	48.4%	(/.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2))))) 2)
✓	38.1%	(/.f64 2 2)

Compiler

Compiled 1724 to 1340 computations (22.3% saved)

localize711.0ms (8%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	97.8%	(/.f64 (-.f64 (*.f64 -16 beta) 8) (pow.f64 alpha 3))
✓	89.7%	(/.f64 beta (pow.f64 alpha 2))
✓	87.5%	(+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -16 beta) 8) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))))
✓	86.6%	(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -16 beta) 8) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
✓	100.0%	(/.f64 beta (+.f64 alpha 2))
	100.0%	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	100.0%	(-.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
	75.9%	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
✓	100.0%	(/.f64 alpha (+.f64 alpha 2))
✓	71.5%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 363 to 273 computations (24.8% saved)

series22.0ms (0.2%)

Counts

8 → 120

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	beta	@	0	(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -16 beta) 8) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
2.0ms	beta	@	inf	(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -16 beta) 8) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
1.0ms	beta	@	-inf	(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -16 beta) 8) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
1.0ms	alpha	@	0	(-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -16 beta) 8) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
1.0ms	alpha	@	inf	(-.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))

rewrite118.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

350×	`log1p-expm1-u`
350×	`expm1-log1p-u`
336×	`add-cube-cbrt`
334×	`add-exp-log`
333×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	358
1	744	350

Stop Event

1×	node limit

Counts

8 → 193

Calls

Call 1

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

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

simplify284.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1234×	`fma-neg`
1062×	`fma-def`
816×	`log-prod`
550×	`associate-r`
534×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	642	19169
1	1766	18387
2	6642	18385

Stop Event

1×	node limit

Counts

313 → 399

Calls

Call 1

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

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

eval374.0ms (4.2%)

Compiler: Compiled 16810 to 12916 computations (23.2% saved)

prune135.0ms (1.5%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	541	5	546
Fresh	3	7	10
Picked	1	4	5
Done	0	4	4
Total	545	20	565

Accuracy

100.0%

Counts

565 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.6%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2)))) 2)) (+.f64 alpha 2)) (.f64 (-.f64 1 (.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))))) alpha)) (.f64 (-.f64 1 (.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))))) (+.f64 alpha 2))) 2)
	47.7%	(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) 3) (pow.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) 2) (-.f64 (.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) (.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) (neg.f64 (/.f64 alpha (+.f64 alpha 2))))))) 2)
✓	28.0%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	8.0%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
✓	23.7%	(/.f64 (/.f64 2 alpha) 2)
✓	49.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	28.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 (+.f64 2 beta) alpha))) 2)
▶	22.2%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
	48.4%	(/.f64 (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2))))) (/.f64 alpha (+.f64 2 alpha))) 2)
✓	50.9%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	49.1%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	75.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	74.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	22.8%	(/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (pow.f64 alpha 2)))) 2)
▶	46.7%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	28.0%	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
✓	46.5%	(/.f64 (+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/2 beta))) 2)
	48.4%	(/.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2))))) 2)
✓	38.1%	(/.f64 2 2)
▶	50.3%	(/.f64 1 2)
	48.6%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2)))) 2)) (+.f64 alpha 2)) (.f64 (-.f64 1 (.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))))) alpha)) (.f64 (-.f64 1 (.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))))) (+.f64 alpha 2))) 2)
	47.7%	(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) 3) (pow.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) 2) (-.f64 (.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) (.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) (neg.f64 (/.f64 alpha (+.f64 alpha 2))))))) 2)
✓	28.0%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	8.0%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
✓	23.7%	(/.f64 (/.f64 2 alpha) 2)
✓	49.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	28.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 (+.f64 2 beta) alpha))) 2)
▶	22.2%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
	48.4%	(/.f64 (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2))))) (/.f64 alpha (+.f64 2 alpha))) 2)
✓	50.9%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	49.1%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	75.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	74.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	22.8%	(/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (pow.f64 alpha 2)))) 2)
▶	46.7%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	28.0%	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
✓	46.5%	(/.f64 (+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/2 beta))) 2)
	48.4%	(/.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2))))) 2)
✓	38.1%	(/.f64 2 2)
▶	50.3%	(/.f64 1 2)

Compiler

Compiled 1388 to 1096 computations (21% saved)

localize248.0ms (2.8%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 alpha 2)
✓	100.0%	(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
✓	99.1%	(/.f64 4 (pow.f64 alpha 2))
✓	100.0%	(-.f64 (/.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 (+.f64 2 beta) alpha)))
✓	100.0%	(/.f64 (+.f64 2 beta) alpha)
	100.0%	(/.f64 beta (+.f64 alpha 2))

Compiler

Compiled 130 to 93 computations (28.5% saved)

series8.0ms (0.1%)

Counts

5 → 48

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	-inf	(-.f64 (/.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 (+.f64 2 beta) alpha)))
1.0ms	alpha	@	-inf	(pow.f64 alpha 2)
0.0ms	alpha	@	0	(/.f64 4 (pow.f64 alpha 2))
0.0ms	beta	@	0	(-.f64 (/.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 (+.f64 2 beta) alpha)))
0.0ms	alpha	@	inf	(/.f64 (+.f64 2 beta) alpha)

rewrite169.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`log1p-expm1-u`
524×	`expm1-udef`
524×	`log1p-udef`
194×	`associate-r`
156×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	123
1	326	119
2	5321	119

Stop Event

1×	node limit

Counts

5 → 189

Calls

Call 1

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

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

simplify204.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1338×	`fma-neg`
1080×	`div-sub`
758×	`fma-def`
498×	`log-prod`
464×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	9852
1	1349	9169
2	5717	9154

Stop Event

1×	node limit

Counts

237 → 293

Calls

Call 1

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

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

eval132.0ms (1.5%)

Compiler: Compiled 6723 to 5068 computations (24.6% saved)

prune122.0ms (1.4%)

Pruning

21 alts after pruning (10 fresh and 11 done)

	Pruned	Kept	Total
New	328	4	332
Fresh	1	6	7
Picked	2	3	5
Done	0	8	8
Total	331	21	352

Accuracy

100.0%

Counts

352 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.7%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 alpha 4)) alpha) (pow.f64 alpha 2)) 2)
	47.7%	(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) 3) (pow.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) 2) (-.f64 (.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) (.f64 (fma.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2))) 1) (neg.f64 (/.f64 alpha (+.f64 alpha 2))))))) 2)
✓	28.0%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	23.9%	(/.f64 (/.f64 (+.f64 2 beta) alpha) 2)
✓	8.0%	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
✓	23.7%	(/.f64 (/.f64 2 alpha) 2)
✓	49.0%	(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	28.0%	(/.f64 (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 2 beta) alpha))) 2)
	22.2%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	48.4%	(/.f64 (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2))))) (/.f64 alpha (+.f64 2 alpha))) 2)
✓	50.9%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	49.1%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	75.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
✓	74.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
	22.8%	(/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (pow.f64 alpha 2)))) 2)
✓	46.7%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	28.0%	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
✓	46.5%	(/.f64 (+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/2 beta))) 2)
	48.4%	(/.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 beta (fma.f64 alpha (pow.f64 (+.f64 alpha 2) -2) (/.f64 1 (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2))))) 2)
✓	38.1%	(/.f64 2 2)
✓	50.3%	(/.f64 1 2)

Compiler

Compiled 994 to 763 computations (23.2% saved)

regimes518.0ms (5.8%)

Counts

33 → 2

Calls

Call 1

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

Outputs

(/.f64 (-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -16 beta) 8) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)

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

Calls

5 calls:

333.0ms	alpha
78.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
67.0ms	beta
18.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Accuracy	Segments	Branch
95.5%	2	`alpha`
79.0%	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 686 to 515 computations (24.9% saved)

regimes86.0ms (1%)

Counts

27 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 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 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/2 beta))) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 2 beta) alpha))) 2)
(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 (+.f64 2 beta) alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 2 beta) alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2))))) (/.f64 alpha (+.f64 2 alpha))) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 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 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha))) 2)
(/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (pow.f64 alpha 2)))) 2)
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 alpha 4)) alpha) (pow.f64 alpha 2)) 2)
(/.f64 (-.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))) 2)

Outputs

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

Calls

3 calls:

17.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Accuracy	Segments	Branch
99.9%	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 393 to 293 computations (25.4% saved)

regimes36.0ms (0.4%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	(/.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
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 276 to 205 computations (25.7% saved)

regimes84.0ms (0.9%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
5.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

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

Compiler

Compiled 219 to 163 computations (25.6% saved)

regimes30.0ms (0.3%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

26.0ms

alpha

Results

Accuracy	Segments	Branch
94.0%	2	`alpha`

Compiler

Compiled 123 to 96 computations (22% saved)

regimes16.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

alpha

Results

Accuracy	Segments	Branch
89.9%	2	`alpha`

Compiler

Compiled 67 to 55 computations (17.9% saved)

regimes58.0ms (0.7%)

Counts

8 → 4

Calls

Call 1

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

Calls

2 calls:

33.0ms	alpha
23.0ms	beta

Results

Accuracy	Segments	Branch
75.9%	4	`beta`
73.7%	6	`alpha`

Compiler

Compiled 52 to 43 computations (17.3% saved)

regimes19.0ms (0.2%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

beta

Results

Accuracy	Segments	Branch
75.4%	4	`beta`

Compiler

Compiled 21 to 19 computations (9.5% saved)

regimes8.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

beta

Results

Accuracy	Segments	Branch
73.2%	2	`beta`

Compiler

Compiled 16 to 15 computations (6.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 1 2)

Outputs
(/.f64 1 2)

Calls

2 calls:

5.0ms	alpha
3.0ms	beta

Results

Accuracy	Segments	Branch
50.3%	1	`alpha`
50.3%	1	`beta`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999993947094136	-0.9966356517978721

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999993947094136	-0.9966356517978721

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999999998	-0.9999993947094136

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999999998	-0.9999993947094136

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	192.44213629008632	592.4686887189519

Results

9.0ms

80×

256

valid

Compiler

Compiled 140 to 115 computations (17.9% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	192.44213629008632	592.4686887189519

Results

9.0ms

80×

256

valid

Compiler

Compiled 130 to 105 computations (19.2% saved)

bsearch81.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
28.0ms	0.14070269799144958	1524234212.0295997
25.0ms	-2.1493802934414465e-223	-3.38238018989281e-226
28.0ms	-1.3839272451628915e-190	-1.367403915911469e-204

Results

47.0ms	333×	256	valid
20.0ms	72×	1024	valid
7.0ms	39×	512	valid
1.0ms	4×	2048	valid

Compiler

Compiled 504 to 453 computations (10.1% saved)

bsearch116.0ms (1.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
31.0ms	0.14070269799144958	1524234212.0295997
60.0ms	-2.1493802934414465e-223	-3.38238018989281e-226
25.0ms	-1.3839272451628915e-190	-1.367403915911469e-204

Results

80.0ms	345×	256	valid
24.0ms	72×	1024	valid
4.0ms	25×	512	valid
2.0ms	6×	2048	valid

Compiler

Compiled 392 to 369 computations (5.9% saved)

bsearch35.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	0.14070269799144958	1524234212.0295997

Results

24.0ms	124×	256	valid
6.0ms	25×	1024	valid
2.0ms	9×	512	valid
1.0ms	2×	2048	valid

Compiler

Compiled 140 to 135 computations (3.6% saved)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Rules

358×	`unsub-neg`
210×	`neg-mul-1`
186×	`distribute-lft-neg-in`
142×	`+-commutative`
136×	`neg-sub0`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1039
1	148	1035
2	197	1031
3	265	1031
4	340	1031
5	405	1031
6	508	1031
7	686	1031
8	882	1031
9	972	1031
10	1023	1031
11	1049	1031
12	1059	1031
13	1065	1031
14	1066	1031

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4494592428115755/4503599627370496) (/.f64 (-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -16 beta) 8) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 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)) -4494592428115755/4503599627370496) (/.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 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)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 580) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 580) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 beta) alpha) 2))
(if (<=.f64 beta -8585002434472981/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta -5469855589471755/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta -7907239084383009/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (/.f64 1 2) (if (<=.f64 beta -5469855589471755/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (/.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)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4494592428115755/4503599627370496) (/.f64 (-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -16 beta) 8) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 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)) -4494592428115755/4503599627370496) (/.f64 (-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 beta -16) 8) (pow.f64 alpha 3))) (neg.f64 (/.f64 (-.f64 (.f64 beta -2) 2) alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 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)) -4494592428115755/4503599627370496) (/.f64 (-.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (-.f64 (/.f64 (neg.f64 (-.f64 (.f64 beta -16) 8)) (pow.f64 alpha 3)) (/.f64 (-.f64 (.f64 beta -2) 2) alpha))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 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)) -4494592428115755/4503599627370496) (/.f64 (+.f64 (-.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 (-.f64 (.f64 beta -16) 8) (pow.f64 alpha 3)) (/.f64 (-.f64 (.f64 beta -2) 2) alpha))) (.f64 4 (/.f64 -1 (pow.f64 alpha 2)))) 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)) -4494592428115755/4503599627370496) (/.f64 (+.f64 (+.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 (-.f64 8 (.f64 beta -16)) (pow.f64 alpha 3)) (/.f64 (-.f64 2 (.f64 beta -2)) alpha))) (.f64 4 (/.f64 -1 (pow.f64 alpha 2)))) 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)) -4494592428115755/4503599627370496) (/.f64 (+.f64 (-.f64 (.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (-.f64 (/.f64 (-.f64 (.f64 beta -16) 8) (pow.f64 alpha 3)) (/.f64 (-.f64 2 (.f64 beta -2)) alpha))) (.f64 4 (/.f64 -1 (pow.f64 alpha 2)))) 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)) -4494592428115755/4503599627370496) (/.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 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)) -4494592428115755/4503599627370496) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.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)) -4494592428115755/4503599627370496) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.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)) -4494592428115755/4503599627370496) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.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)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2))
(if (<=.f64 alpha 580) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 580) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 580) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 beta) alpha) 2))
(if (<=.f64 alpha 580) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta -8585002434472981/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta -5469855589471755/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta -8585002434472981/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta -5469855589471755/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) 1)))
(if (<=.f64 beta -7907239084383009/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (/.f64 1 2) (if (<=.f64 beta -5469855589471755/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta -7907239084383009/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) 1/2 (if (<=.f64 beta -5469855589471755/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (/.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

Compiler

Compiled 315 to 237 computations (24.8% saved)

soundness1.2s (12.9%)

Rules

1638×	`fma-def`
1638×	`fma-def`
1638×	`fma-def`
1312×	`cancel-sign-sub-inv`
1312×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	206	80
2	3296	80
0	386	9396
1	1143	9042
2	4295	8889
0	1115	30377
1	3533	29517
0	1115	30377
1	3533	29517
0	1115	30377
1	3533	29517
0	386	9396
1	1143	9042
2	4295	8889

Stop Event

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

Compiler

Compiled 232 to 161 computations (30.6% saved)

end0.0ms (0%)

preprocess157.0ms (1.8%)

Compiler: Compiled 624 to 448 computations (28.2% saved)

analyze0.0ms (0%)

sample1.5s (16.6%)

preprocess279.0ms (3.1%)

eval9.0ms (0.1%)

prune2.0ms (0%)

localize84.0ms (0.9%)

series9.0ms (0.1%)

rewrite228.0ms (2.6%)

simplify130.0ms (1.5%)

eval146.0ms (1.6%)

prune57.0ms (0.6%)

localize390.0ms (4.4%)

series27.0ms (0.3%)

rewrite173.0ms (1.9%)

simplify259.0ms (2.9%)

eval427.0ms (4.8%)

prune171.0ms (1.9%)

localize711.0ms (8%)

series22.0ms (0.2%)

rewrite118.0ms (1.3%)

simplify284.0ms (3.2%)

eval374.0ms (4.2%)

prune135.0ms (1.5%)

localize248.0ms (2.8%)

series8.0ms (0.1%)

rewrite169.0ms (1.9%)

simplify204.0ms (2.3%)

eval132.0ms (1.5%)

prune122.0ms (1.4%)

regimes518.0ms (5.8%)

regimes86.0ms (1%)

regimes36.0ms (0.4%)

regimes84.0ms (0.9%)

regimes30.0ms (0.3%)

regimes16.0ms (0.2%)

regimes58.0ms (0.7%)

regimes19.0ms (0.2%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch81.0ms (0.9%)

bsearch116.0ms (1.3%)

bsearch35.0ms (0.4%)

simplify85.0ms (1%)

soundness1.2s (12.9%)

end0.0ms (0%)

preprocess157.0ms (1.8%)

Profiling