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)

sample1.1s (14.9%)

Results

687.0ms	6450×	body	256	valid
251.0ms	1060×	body	1024	valid
106.0ms	660×	body	512	valid
53.0ms	86×	body	2048	valid

Bogosity

preprocess68.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1532×	`fma-neg`
1190×	`div-sub`
1020×	`sub-neg`
840×	`distribute-rgt-in`
668×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	156
1	77	152
2	172	152
3	465	148
4	1355	148
5	3852	148

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

77.8%

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	77.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize50.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	77.8%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 51 to 24 computations (52.9% saved)

series17.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	beta	@	-inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
5.0ms	alpha	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	alpha	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	alpha	@	-inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

rewrite86.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

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

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

simplify138.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

192 → 390

Calls

Call 1

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

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

eval181.0ms (2.4%)

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

prune99.0ms (1.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	380	10	390
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	380	11	391

Accurracy

99.9%

Counts

391 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.0%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
	61.7%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
	77.2%	(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
▶	26.2%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	78.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	50.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	77.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	75.1%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	3.6%	(/.f64 (+.f64 -1 1) 2)
▶	77.7%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	40.5%	(/.f64 2 2)
	25.0%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
	61.7%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
	77.2%	(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
▶	26.2%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	78.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	50.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	77.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	75.1%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	3.6%	(/.f64 (+.f64 -1 1) 2)
▶	77.7%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	40.5%	(/.f64 2 2)

Compiler

Compiled 618 to 474 computations (23.3% saved)

localize303.0ms (4.1%)

Local Accuracy

Found 10 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
✓	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
✓	77.8%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
✓	77.7%	(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
✓	100.0%	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
✓	100.0%	(/.f64 beta (+.f64 beta 2))
✓	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)))
✓	77.8%	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 207 to 133 computations (35.7% saved)

series17.0ms (0.2%)

Counts

10 → 216

Calls

57 calls:

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

rewrite117.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`add-sqr-sqrt`
540×	`pow1`
538×	`*-un-lft-identity`
514×	`add-exp-log`
512×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	248
1	541	244

Stop Event

1×	node limit

Counts

10 → 424

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

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

simplify246.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1860×	`fma-def`
754×	`distribute-rgt-in`
734×	`distribute-lft-in`
620×	`times-frac`
482×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1143	39470
1	3364	37240

Stop Event

1×	node limit

Counts

640 → 716

Calls

Call 1

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

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

eval535.0ms (7.2%)

Compiler: Compiled 23310 to 16735 computations (28.2% saved)

prune177.0ms (2.4%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	709	7	716
Fresh	1	4	5
Picked	0	5	5
Done	0	1	1
Total	710	17	727

Accurracy

99.9%

Counts

727 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.0%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
	61.7%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
	77.2%	(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
✓	26.2%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	19.0%	(/.f64 (/.f64 2 alpha) 2)
	26.2%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
✓	78.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	78.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) 2)
▶	78.7%	(/.f64 (-.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	33.0%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
	50.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	77.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	75.1%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	44.9%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	10.4%	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	77.7%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	40.5%	(/.f64 2 2)
▶	25.0%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
	61.7%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
	77.2%	(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
✓	26.2%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	19.0%	(/.f64 (/.f64 2 alpha) 2)
	26.2%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
✓	78.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	78.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) 2)
▶	78.7%	(/.f64 (-.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	33.0%	(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
	50.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	77.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	75.1%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	44.9%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
	10.4%	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	77.7%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	40.5%	(/.f64 2 2)

Compiler

Compiled 864 to 652 computations (24.5% saved)

localize297.0ms (4%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 beta (+.f64 2 beta))
✓	100.0%	(-.f64 (-.f64 -2 beta) beta)
✓	100.0%	(/.f64 (+.f64 2 beta) alpha)
✓	94.7%	(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
✓	100.0%	(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
✓	100.0%	(/.f64 (+.f64 alpha (+.f64 beta 2)) beta)
	100.0%	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	99.7%	(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))
	77.8%	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 243 to 153 computations (37% saved)

series12.0ms (0.2%)

Counts

7 → 144

Calls

36 calls:

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

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	159
1	571	149

Stop Event

1×	node limit

Counts

7 → 228

Calls

Call 1

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

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

simplify142.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1100×	`log-prod`
650×	`fma-neg`
572×	`associate-r`
556×	`fma-def`
502×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	651	10452
1	1698	9410
2	6666	9394

Stop Event

1×	node limit

Counts

372 → 401

Calls

Call 1

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

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

eval292.0ms (3.9%)

Compiler: Compiled 16438 to 11366 computations (30.9% saved)

prune142.0ms (1.9%)

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	565	6	571
Fresh	0	6	6
Picked	2	3	5
Done	0	6	6
Total	567	21	588

Accurracy

99.9%

Counts

588 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.0%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2)))) alpha)) 2)
	61.7%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
	10.0%	(/.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (.f64 alpha alpha))) (.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) 2)
	77.2%	(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
✓	26.2%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	19.0%	(/.f64 (/.f64 2 alpha) 2)
	26.2%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
✓	78.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	78.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) 2)
▶	17.6%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
✓	78.7%	(/.f64 (-.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	10.0%	(/.f64 (-.f64 (.f64 -2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 beta (+.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
	33.4%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	36.5%	(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
▶	50.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	77.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	75.1%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	44.9%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
▶	10.4%	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	77.7%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	40.5%	(/.f64 2 2)
	24.0%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2)))) alpha)) 2)
	61.7%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
	10.0%	(/.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (.f64 alpha alpha))) (.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) 2)
	77.2%	(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
✓	26.2%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	19.0%	(/.f64 (/.f64 2 alpha) 2)
	26.2%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
✓	78.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	78.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) 2)
▶	17.6%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
✓	78.7%	(/.f64 (-.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	10.0%	(/.f64 (-.f64 (.f64 -2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 beta (+.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
	33.4%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	36.5%	(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
▶	50.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	77.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	75.1%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	44.9%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
▶	10.4%	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	77.7%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	40.5%	(/.f64 2 2)

Compiler

Compiled 1070 to 790 computations (26.2% saved)

localize424.0ms (5.7%)

Local Accuracy

Found 13 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
✓	99.5%	(/.f64 6 (*.f64 alpha alpha))
✓	97.5%	(-.f64 (.f64 -2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 beta (+.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 -2 alpha))))
✓	89.2%	(.f64 beta (+.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 -2 alpha)))
✓	100.0%	(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
✓	99.5%	(/.f64 4 (*.f64 alpha alpha))
✓	100.0%	(/.f64 alpha (+.f64 alpha 2))
✓	72.6%	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
✓	100.0%	(*.f64 2 (/.f64 beta alpha))
✓	100.0%	(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	77.8%	(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)
✓	77.7%	(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))

Compiler

Compiled 285 to 159 computations (44.2% saved)

series55.0ms (0.7%)

Counts

12 → 204

Calls

57 calls:

Time	Variable		Point	Expression
40.0ms	beta	@	0	(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
1.0ms	beta	@	0	(.f64 beta (+.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 -2 alpha)))
1.0ms	beta	@	inf	(-.f64 (.f64 -2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 beta (+.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 -2 alpha))))
1.0ms	alpha	@	0	(-.f64 (.f64 -2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 beta (+.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 -2 alpha))))
1.0ms	beta	@	inf	(*.f64 2 (/.f64 beta alpha))

rewrite107.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`add-sqr-sqrt`
782×	`pow1`
780×	`*-un-lft-identity`
752×	`add-exp-log`
750×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	264
1	789	256

Stop Event

1×	node limit

Counts

12 → 237

Calls

Call 1

Inputs
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(*.f64 2 (/.f64 beta alpha))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(.f64 beta (+.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 -2 alpha)))
(-.f64 (.f64 -2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 beta (+.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 -2 alpha))))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))

Outputs
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(+.f64 0 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) 1)
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))))
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(fma.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 beta 2))) -1)
(fma.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) 1)
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))))
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(fma.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 beta 2))) -1)
(fma.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -1)
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) 1)
(/.f64 (*.f64 2 beta) alpha)
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)
(log.f64 (exp.f64 (*.f64 2 (/.f64 beta alpha))))
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(+.f64 (fma.f64 (.f64 -2 (/.f64 beta alpha)) (/.f64 beta alpha) (neg.f64 (.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))) 1))) (fma.f64 (neg.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) 1 (.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))) 1)))
(+.f64 (fma.f64 (.f64 -2 (/.f64 beta alpha)) (/.f64 beta alpha) (neg.f64 (.f64 (cbrt.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) (pow.f64 (cbrt.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) 2) (.f64 (cbrt.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) 2))))
(.f64 1 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) 2) (cbrt.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))))
(.f64 (sqrt.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) (sqrt.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))))
(/.f64 (-.f64 (.f64 -8 (pow.f64 (pow.f64 (/.f64 beta alpha) 2) 3)) (pow.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))) 3)) (+.f64 (pow.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) 2) (+.f64 (pow.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))) 2) (.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))))
(/.f64 (-.f64 (pow.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) 2) (pow.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))) 2)) (fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(pow.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) 2)
(log.f64 (exp.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))))
(log.f64 (/.f64 (exp.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) (exp.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) 2) (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))))
(expm1.f64 (log1p.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))))
(exp.f64 (log.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))))
(fma.f64 1 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (neg.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 1 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 (neg.f64 beta) (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 1 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) (fma.f64 (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))) beta (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (neg.f64 (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (neg.f64 beta) (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 (pow.f64 (/.f64 beta alpha) 2) -2 (neg.f64 (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (pow.f64 (/.f64 beta alpha) 2) -2 (*.f64 (neg.f64 beta) (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) 2) (cbrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) (neg.f64 (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) 2) (cbrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) (*.f64 (neg.f64 beta) (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) 2) (cbrt.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) (fma.f64 (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))) beta (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (sqrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) (sqrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) (neg.f64 (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (sqrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) (sqrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) (*.f64 (neg.f64 beta) (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 (sqrt.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) (sqrt.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) (fma.f64 (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))) beta (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (.f64 -2 (/.f64 beta alpha)) (/.f64 beta alpha) (neg.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (.f64 -2 (/.f64 beta alpha)) (/.f64 beta alpha) (.f64 (neg.f64 beta) (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 6 alpha) alpha))) 1)
(*.f64 1 (/.f64 (/.f64 6 alpha) alpha))
(*.f64 6 (pow.f64 alpha -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 6 alpha) alpha)) 2) (cbrt.f64 (/.f64 (/.f64 6 alpha) alpha)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 6 alpha) alpha)) (sqrt.f64 (/.f64 (/.f64 6 alpha) alpha)))
(pow.f64 (/.f64 (/.f64 6 alpha) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 6 alpha) alpha)) 2)
(pow.f64 (/.f64 (*.f64 alpha alpha) 6) -1)
(log.f64 (exp.f64 (/.f64 (/.f64 6 alpha) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 6 alpha) alpha))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 6 alpha) alpha) 2) (/.f64 (/.f64 6 alpha) alpha)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 6 alpha) alpha)))
(exp.f64 (log.f64 (/.f64 (/.f64 6 alpha) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 6 alpha) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 6 alpha) alpha)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 beta alpha) 2))) 1)
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(/.f64 (*.f64 (/.f64 beta alpha) beta) alpha)
(/.f64 (*.f64 beta (/.f64 beta alpha)) alpha)
(pow.f64 (/.f64 beta alpha) 2)
(pow.f64 (pow.f64 (/.f64 beta alpha) 2) 1)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 beta alpha) 2)) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 beta alpha) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 beta alpha) 2))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 4) (pow.f64 (/.f64 beta alpha) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 beta alpha) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 beta alpha))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 beta alpha) 2)))

simplify186.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1744×	`times-frac`
1094×	`fma-neg`
662×	`fma-def`
454×	`exp-prod`
392×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	650	15939
1	1620	14385
2	5081	14285

Stop Event

1×	node limit

Counts

441 → 445

Calls

Call 1

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

Outputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1)
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (neg.f64 (+.f64 beta 2)) alpha)
(/.f64 (+.f64 -2 (neg.f64 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (neg.f64 (+.f64 beta 2)) alpha)
(/.f64 (+.f64 -2 (neg.f64 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (.f64 -1 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) 1))
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha))) (neg.f64 (/.f64 (.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (-.f64 (/.f64 (.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha)) (.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha)) (+.f64 -1 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha))) (.f64 -1 (+.f64 (/.f64 (.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 (.f64 alpha (.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4))) (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 -1 (+.f64 (-.f64 (/.f64 (.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha)) (/.f64 (.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4))) (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha))))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(+.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta (/.f64 beta alpha)))) 1))
(+.f64 -1 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))))
(+.f64 -1 (-.f64 (/.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha 2) (.f64 beta beta)) alpha)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta (/.f64 beta alpha)))) 1)))
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))
(+.f64 (-.f64 (/.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha 2) (.f64 beta beta)) alpha)) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha -1))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(+.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta (/.f64 beta alpha)))) 1))
(+.f64 -1 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))))
(+.f64 -1 (-.f64 (/.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha 2) (.f64 beta beta)) alpha)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta (/.f64 beta alpha)))) 1)))
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))
(+.f64 (-.f64 (/.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha 2) (.f64 beta beta)) alpha)) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha -1))
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
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(log1p.f64 (expm1.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))))
(-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 1 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (neg.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 1 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 (neg.f64 beta) (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 1 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) (fma.f64 (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))) beta (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(+.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) (fma.f64 (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))) beta (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(+.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) (.f64 0 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(+.f64 (fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) (.f64 0 (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (neg.f64 (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (neg.f64 beta) (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (pow.f64 (/.f64 beta alpha) 2) -2 (neg.f64 (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (pow.f64 (/.f64 beta alpha) 2) -2 (*.f64 (neg.f64 beta) (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) 2) (cbrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) (neg.f64 (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) 2) (cbrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) (*.f64 (neg.f64 beta) (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) 2) (cbrt.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) (fma.f64 (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))) beta (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(+.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) (fma.f64 (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))) beta (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(+.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) (.f64 0 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(+.f64 (fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) (.f64 0 (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (sqrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) (sqrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) (neg.f64 (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (sqrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) (sqrt.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2))) (*.f64 (neg.f64 beta) (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (sqrt.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) (sqrt.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) (fma.f64 (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))) beta (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(+.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) (fma.f64 (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))) beta (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(+.f64 (-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))) (.f64 0 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(+.f64 (fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) (.f64 0 (*.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (.f64 -2 (/.f64 beta alpha)) (/.f64 beta alpha) (neg.f64 (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(fma.f64 (.f64 -2 (/.f64 beta alpha)) (/.f64 beta alpha) (.f64 (neg.f64 beta) (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(-.f64 (.f64 -2 (pow.f64 (/.f64 beta alpha) 2)) (.f64 beta (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(fma.f64 -2 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 6 alpha) alpha))) 1)
(/.f64 6 (*.f64 alpha alpha))
(*.f64 1 (/.f64 (/.f64 6 alpha) alpha))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 6 alpha) alpha)) 2) (cbrt.f64 (/.f64 (/.f64 6 alpha) alpha)))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 (sqrt.f64 (/.f64 (/.f64 6 alpha) alpha)) (sqrt.f64 (/.f64 (/.f64 6 alpha) alpha)))
(/.f64 6 (*.f64 alpha alpha))
(pow.f64 (/.f64 (/.f64 6 alpha) alpha) 1)
(/.f64 6 (*.f64 alpha alpha))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 6 alpha) alpha)) 2)
(/.f64 6 (*.f64 alpha alpha))
(pow.f64 (/.f64 (*.f64 alpha alpha) 6) -1)
(/.f64 6 (*.f64 alpha alpha))
(log.f64 (exp.f64 (/.f64 (/.f64 6 alpha) alpha)))
(/.f64 6 (*.f64 alpha alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 6 alpha) alpha))))
(/.f64 6 (*.f64 alpha alpha))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 6 alpha) alpha) 2) (/.f64 (/.f64 6 alpha) alpha)))
(/.f64 6 (*.f64 alpha alpha))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 6 alpha) alpha)))
(/.f64 6 (*.f64 alpha alpha))
(exp.f64 (log.f64 (/.f64 (/.f64 6 alpha) alpha)))
(/.f64 6 (*.f64 alpha alpha))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 6 alpha) alpha)) 1))
(/.f64 6 (*.f64 alpha alpha))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 6 alpha) alpha)))
(/.f64 6 (*.f64 alpha alpha))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 beta alpha) 2))) 1)
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 (/.f64 beta alpha) beta) alpha)
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 beta (/.f64 beta alpha)) alpha)
(pow.f64 (/.f64 beta alpha) 2)
(pow.f64 (/.f64 beta alpha) 2)
(pow.f64 (pow.f64 (/.f64 beta alpha) 2) 1)
(pow.f64 (/.f64 beta alpha) 2)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 beta alpha) 2)) 2)
(pow.f64 (/.f64 beta alpha) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 beta alpha) 2)))
(pow.f64 (/.f64 beta alpha) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 beta alpha) 2))))
(pow.f64 (/.f64 beta alpha) 2)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 4) (pow.f64 (/.f64 beta alpha) 2)))
(pow.f64 (/.f64 beta alpha) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 beta alpha) 2)))
(pow.f64 (/.f64 beta alpha) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 beta alpha))))
(pow.f64 (/.f64 beta alpha) 2)
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 2))
(pow.f64 (/.f64 beta alpha) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 beta alpha))) 1))
(pow.f64 (/.f64 beta alpha) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 beta alpha) 2)))
(pow.f64 (/.f64 beta alpha) 2)

eval256.0ms (3.4%)

Compiler: Compiled 14032 to 10052 computations (28.4% saved)

prune111.0ms (1.5%)

Pruning

22 alts after pruning (10 fresh and 12 done)

	Pruned	Kept	Total
New	520	4	524
Fresh	1	6	7
Picked	2	3	5
Done	0	9	9
Total	523	22	545

Accurracy

99.9%

Counts

545 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.0%	(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2)))) alpha)) 2)
	10.0%	(/.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (.f64 alpha alpha))) (.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) 2)
	77.2%	(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
	50.0%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) 2)
✓	26.2%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	19.0%	(/.f64 (/.f64 2 alpha) 2)
	26.2%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
✓	78.7%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	27.1%	(/.f64 (-.f64 (/.f64 beta alpha) (log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) 2)
✓	17.6%	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
✓	78.7%	(/.f64 (-.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	9.6%	(/.f64 (-.f64 (.f64 -2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (/.f64 (*.f64 beta -2) alpha)) 2)
	33.4%	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	36.5%	(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
✓	50.0%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	47.7%	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	77.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	75.1%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	44.9%	(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
✓	10.4%	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	77.7%	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
✓	40.5%	(/.f64 2 2)

Compiler

Compiled 739 to 528 computations (28.6% saved)

regimes119.0ms (1.6%)

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

40.0ms	beta
37.0ms	alpha
16.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(+.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
95.9%	2	`alpha`
81.0%	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 451 to 307 computations (31.9% saved)

regimes32.0ms (0.4%)

Counts

21 → 2

Calls

Call 1

Inputs
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (-.f64 (.f64 -2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (/.f64 (*.f64 beta -2) alpha)) 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 (+.f64 alpha (+.f64 beta 2)) beta)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (.f64 -2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 beta (+.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
(/.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (.f64 alpha alpha))) (.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) 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:

14.0ms	(/.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
99.7%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
99.7%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
99.7%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 283 to 193 computations (31.8% saved)

regimes27.0ms (0.4%)

Counts

17 → 2

Calls

Call 1

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

11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

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

Compiler

Compiled 198 to 144 computations (27.3% saved)

regimes18.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

alpha

Results

Accuracy	Segments	Branch
94.2%	2	`alpha`

Compiler

Compiled 104 to 83 computations (20.2% saved)

regimes26.0ms (0.3%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

alpha

Results

Accuracy	Segments	Branch
89.0%	4	`alpha`

Compiler

Compiled 73 to 60 computations (17.8% saved)

regimes56.0ms (0.8%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	alpha
18.0ms	beta

Results

Accuracy	Segments	Branch
76.8%	4	`beta`
69.7%	8	`alpha`

Compiler

Compiled 49 to 41 computations (16.3% saved)

regimes20.0ms (0.3%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

beta

Results

Accuracy	Segments	Branch
76.8%	4	`beta`

Compiler

Compiled 39 to 33 computations (15.4% saved)

regimes17.0ms (0.2%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

beta

Results

Accuracy	Segments	Branch
76.8%	4	`beta`

Compiler

Compiled 32 to 27 computations (15.6% saved)

regimes24.0ms (0.3%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	alpha
9.0ms	beta

Results

Accuracy	Segments	Branch
54.4%	4	`alpha`
48.9%	2	`beta`

Compiler

Compiled 28 to 23 computations (17.9% saved)

regimes12.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

alpha

Results

Accuracy	Segments	Branch
52.0%	2	`alpha`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0.1%)

Accuracy

Total -23.8b remaining (-62.6%)

Threshold costs -23.8b (-62.6%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 2 2)

Calls

2 calls:

3.0ms	alpha
3.0ms	beta

Results

Accuracy	Segments	Branch
40.5%	1	`beta`
40.5%	1	`alpha`

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999998402666	-0.9999669565401534

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999998402666	-0.9999669565401534

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999998402666	-0.9999669565401534

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1775072678118924.3	7775428042004583.0

Results

9.0ms

96×

body

256

valid

Compiler

Compiled 164 to 135 computations (17.7% saved)

bsearch55.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
24.0ms	5.434984794028358e+259	6.588702251353335e+262
18.0ms	1.9693825331849583e+216	1.515793449297429e+217
13.0ms	1775072678118924.3	7775428042004583.0

Results

32.0ms	163×	body	1024	valid
16.0ms	138×	body	256	valid
3.0ms	19×	body	512	valid

Compiler

Compiled 392 to 327 computations (16.6% saved)

bsearch51.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	4.1497017696451193e-16	0.0010956753981511413
12.0ms	4.149384496254841e-296	2.349762289693592e-295
17.0ms	-2.0132811338455482e-272	-3.03393618865673e-276

Results

32.0ms	309×	body	256	valid
11.0ms	55×	body	1024	valid
2.0ms	16×	body	512	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 472 to 419 computations (11.2% saved)

bsearch61.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
31.0ms	4.1497017696451193e-16	0.0010956753981511413
12.0ms	4.149384496254841e-296	2.349762289693592e-295
17.0ms	-2.0132811338455482e-272	-3.03393618865673e-276

Results

41.0ms	303×	body	256	valid
11.0ms	60×	body	1024	valid
3.0ms	19×	body	512	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 432 to 389 computations (10% saved)

bsearch52.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
20.0ms	0.0010956753981511413	647.2234156882896
14.0ms	4.149384496254841e-296	2.349762289693592e-295
18.0ms	-2.0132811338455482e-272	-3.03393618865673e-276

Results

29.0ms	274×	body	256	valid
14.0ms	71×	body	1024	valid
3.0ms	22×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 416 to 374 computations (10.1% saved)

bsearch74.0ms (1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
26.0ms	5.434984794028358e+259	6.588702251353335e+262
36.0ms	1.9693825331849583e+216	1.515793449297429e+217
11.0ms	1775072678118924.3	7775428042004583.0

Results

51.0ms	158×	body	1024	valid
16.0ms	137×	body	256	valid
4.0ms	25×	body	512	valid

Compiler

Compiled 356 to 303 computations (14.9% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1775072678118924.3	7775428042004583.0

Results

9.0ms

96×

body

256

valid

Compiler

Compiled 104 to 93 computations (10.6% saved)

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

56×	`unsub-neg`
56×	`+-commutative`
46×	`neg-mul-1`
36×	`*-commutative`
32×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	855
1	144	855
2	174	855
3	211	855
4	250	855
5	311	855
6	316	855

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.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)) -9007019110755897/9007199254740992) (/.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 3750000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 2000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 14499999999999999238981706685314724833808178521193101276324079433930051218648638659050694793787981794860297373172815146996140779572756429805472649960566895587188411021120318842488892115396317674759089069310179020898304) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 alpha 55000000000000002910608007889142441185988896343204697948980503490070811490267011416800180304517846442282665129796709714659004569083199957784962183584197095032843592927789224567321808759727362572291905367903343729630200471762373332098222399598544908142602354688) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 beta -7733881199447039/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta 966439829301981/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 4888387179533031/4611686018427387904) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -7733881199447039/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta 966439829301981/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 4888387179533031/4611686018427387904) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 2 2))))
(if (<=.f64 beta -7733881199447039/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta 7915602411425749/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 2 2))))
(if (<=.f64 alpha 1800000000000000) (/.f64 2 2) (if (<=.f64 alpha 14999999999999998790422169790209850091193770763161862999453204360801263223307595973473100966284959993440668936999273455189749968081823794455848904810321393276167202927643654335990566560248180299297826076407513103728640) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 alpha 107999999999999995038793487907198124645795140127077467831525408736354752796596169051386257485745030350965863572099774349050779035652376523891354308340463996844154920795254892253578150249606856023909083803555833619427026726538520053654436072442104780624461037568) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha 2550000000000000) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.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)) -9007019110755897/9007199254740992) (/.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)) -9007019110755897/9007199254740992) (/.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)) -9007019110755897/9007199254740992) (/.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)) -9007019110755897/9007199254740992) (/.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)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 3750000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 3750000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 2000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 14499999999999999238981706685314724833808178521193101276324079433930051218648638659050694793787981794860297373172815146996140779572756429805472649960566895587188411021120318842488892115396317674759089069310179020898304) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 alpha 55000000000000002910608007889142441185988896343204697948980503490070811490267011416800180304517846442282665129796709714659004569083199957784962183584197095032843592927789224567321808759727362572291905367903343729630200471762373332098222399598544908142602354688) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha 2000000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (or (<=.f64 alpha 14499999999999999238981706685314724833808178521193101276324079433930051218648638659050694793787981794860297373172815146996140779572756429805472649960566895587188411021120318842488892115396317674759089069310179020898304) (not (<=.f64 alpha 55000000000000002910608007889142441185988896343204697948980503490070811490267011416800180304517846442282665129796709714659004569083199957784962183584197095032843592927789224567321808759727362572291905367903343729630200471762373332098222399598544908142602354688))) (/.f64 (/.f64 2 alpha) 2) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2)))
(if (<=.f64 beta -7733881199447039/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta 966439829301981/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 4888387179533031/4611686018427387904) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -7733881199447039/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta 966439829301981/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 4888387179533031/4611686018427387904) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -7733881199447039/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta 966439829301981/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 4888387179533031/4611686018427387904) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 2 2))))
(if (<=.f64 beta -7733881199447039/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta 966439829301981/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 4888387179533031/4611686018427387904) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) 1)))
(if (<=.f64 beta -7733881199447039/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (if (<=.f64 beta 7915602411425749/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 beta 1/2) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta -7733881199447039/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta 7915602411425749/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) 1)))
(if (<=.f64 alpha 1800000000000000) (/.f64 2 2) (if (<=.f64 alpha 14999999999999998790422169790209850091193770763161862999453204360801263223307595973473100966284959993440668936999273455189749968081823794455848904810321393276167202927643654335990566560248180299297826076407513103728640) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 alpha 107999999999999995038793487907198124645795140127077467831525408736354752796596169051386257485745030350965863572099774349050779035652376523891354308340463996844154920795254892253578150249606856023909083803555833619427026726538520053654436072442104780624461037568) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha 1800000000000000) 1 (if (or (<=.f64 alpha 14999999999999998790422169790209850091193770763161862999453204360801263223307595973473100966284959993440668936999273455189749968081823794455848904810321393276167202927643654335990566560248180299297826076407513103728640) (not (<=.f64 alpha 107999999999999995038793487907198124645795140127077467831525408736354752796596169051386257485745030350965863572099774349050779035652376523891354308340463996844154920795254892253578150249606856023909083803555833619427026726538520053654436072442104780624461037568))) (/.f64 (/.f64 2 alpha) 2) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2)))
(if (<=.f64 alpha 2550000000000000) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 2550000000000000) 1 (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)
1

Compiler

Compiled 344 to 262 computations (23.8% saved)

soundness1.2s (16.7%)

Rules

1860×	`fma-def`
1860×	`fma-def`
1744×	`times-frac`
1380×	`fma-neg`
1380×	`fma-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	25	37
2	42	37
3	70	37
4	122	37
5	242	33
6	449	33
7	759	33
8	1616	33
9	3796	33
10	7629	33
0	510	10982
1	1409	10596
2	4973	10328
0	11	56
1	259	56
2	3902	56
0	1143	39470
1	3364	37240
0	510	10982
1	1409	10596
2	4973	10328
0	650	15939
1	1620	14385
2	5081	14285
0	1143	39470
1	3364	37240

Stop Event

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

Compiler

Compiled 278 to 202 computations (27.3% saved)

end0.0ms (0%)

preprocess162.0ms (2.2%)

Compiler: Compiled 678 to 496 computations (26.8% saved)

analyze0.0ms (0%)

sample1.1s (14.9%)

preprocess68.0ms (0.9%)

simplify73.0ms (1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize50.0ms (0.7%)

series17.0ms (0.2%)

rewrite86.0ms (1.2%)

simplify138.0ms (1.9%)

eval181.0ms (2.4%)

prune99.0ms (1.3%)

localize303.0ms (4.1%)

series17.0ms (0.2%)

rewrite117.0ms (1.6%)

simplify246.0ms (3.3%)

eval535.0ms (7.2%)

prune177.0ms (2.4%)

localize297.0ms (4%)

series12.0ms (0.2%)

rewrite74.0ms (1%)

simplify142.0ms (1.9%)

eval292.0ms (3.9%)

prune142.0ms (1.9%)

localize424.0ms (5.7%)

series55.0ms (0.7%)

rewrite107.0ms (1.4%)

simplify186.0ms (2.5%)

eval256.0ms (3.4%)

prune111.0ms (1.5%)

regimes119.0ms (1.6%)

regimes32.0ms (0.4%)

regimes27.0ms (0.4%)

regimes18.0ms (0.2%)

regimes26.0ms (0.3%)

regimes56.0ms (0.8%)

regimes20.0ms (0.3%)

regimes17.0ms (0.2%)

regimes24.0ms (0.3%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.1%)

bsearch55.0ms (0.7%)

bsearch51.0ms (0.7%)

bsearch61.0ms (0.8%)

bsearch52.0ms (0.7%)

bsearch74.0ms (1%)

bsearch10.0ms (0.1%)

simplify58.0ms (0.8%)

soundness1.2s (16.7%)

end0.0ms (0%)

preprocess162.0ms (2.2%)

Profiling