Details

analyze41.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
0%	56.2%	43.8%	2
14%	42.1%	43.8%	3
21.1%	35.1%	43.8%	4
31.6%	24.6%	43.8%	5
36.9%	19.3%	43.8%	6
43%	13.2%	43.8%	7
46.1%	10.1%	43.8%	8
49.4%	6.8%	43.8%	9
51%	5.2%	43.8%	10
52.7%	3.5%	43.8%	11
53.6%	2.6%	43.8%	12

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.8s (14.6%)

Results

1.0s	6479×	body	256	valid
492.0ms	1083×	body	1024	valid
254.0ms	604×	body	512	valid
36.0ms	90×	body	2048	valid

preprocess78.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

954×	`fma-neg_binary64`
548×	`div-sub_binary64`
439×	`sub-neg_binary64`
372×	`times-frac_binary64`
269×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	39	38
2	64	38
3	109	38
4	203	38
5	404	34
6	861	34
7	2067	34
8	5489	34
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

496×	`sub-neg_binary64`
434×	`cancel-sign-sub-inv_binary64`
399×	`associate-/l*_binary64`
372×	`div-sub_binary64`
352×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	23	19
2	40	19
3	67	19
4	119	19
5	240	17
6	449	17
7	756	17
8	1582	17
9	3687	17
10	7455	17

Stop Event

1×	node limit

Counts

1 → 2

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

eval1.0ms (0%)

Compiler: Compiled 27 to 18 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

17.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
✓	1.6b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series43.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	alpha	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
1.0ms	alpha	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
1.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
1.0ms	alpha	@	-inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
1.0ms	beta	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`fma-def_binary64`
578×	`log-prod_binary64`
369×	`fma-neg_binary64`
328×	`pow2_binary64`
224×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	243	29
2	3788	29

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (/.f64 (-.f64 beta 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Outputs

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alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))))

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

734×	`times-frac_binary64`
534×	`associate-/l*_binary64`
444×	`associate-/r*_binary64`
384×	`cancel-sign-sub-inv_binary64`
330×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	2065
1	756	1949
2	2813	1769

Stop Event

1×	node limit

Counts

182 → 214

Calls

Call 1

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

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

eval113.0ms (0.9%)

Compiler: Compiled 5988 to 4144 computations (30.8% saved)

prune93.0ms (0.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	198	16	214
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	198	17	215

Error

0.0b

Counts

215 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.2b	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
	47.3b	(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (.f64 (/.f64 (+.f64 alpha 2) (.f64 beta beta)) (+.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 -2 beta) (/.f64 alpha beta)))) 2)
	17.8b	(/.f64 (-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1) 2)
	31.6b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	16.9b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	45.0b	(/.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta)))) 2)
✓	17.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
	17.4b	(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
	45.7b	(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))) 2)
	61.6b	(/.f64 (+.f64 -1 1) 2)
▶	44.0b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
	17.7b	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
	19.3b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	47.1b	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) (-.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (+.f64 beta beta) 2)) (pow.f64 alpha 4))))) 2)
	17.4b	(/.f64 (/.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)))) 2)
	47.1b	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
▶	42.2b	(/.f64 2 2)

Compiler

Compiled 701 to 521 computations (25.7% saved)

localize67.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	0.0b	(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
✓	0.0b	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	1.6b	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 73 to 47 computations (35.6% saved)

series11.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite116.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`fma-def_binary64`
649×	`log-prod_binary64`
497×	`fma-neg_binary64`
279×	`log-div_binary64`
243×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	270	49
2	4376	49

Stop Event

1×	node limit

Counts

4 → 270

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 beta (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 beta) 2) (.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 beta) (.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 beta) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) beta)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 beta (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (neg.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 1))))))

simplify146.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

774×	`associate-/l*_binary64`
707×	`associate-/r*_binary64`
487×	`cancel-sign-sub-inv_binary64`
339×	`associate-*l/_binary64`
244×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	3084
1	802	2924
2	2899	2697

Stop Event

1×	node limit

Counts

366 → 398

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 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)))
(-.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 -1 (/.f64 (-.f64 (+.f64 2 alpha) (.f64 -1 alpha)) beta)) 2)
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.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 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)))))

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

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)

Compiler

Compiled 29 to 14 computations (51.7% saved)

series11.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	beta	@	inf	(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)
1.0ms	beta	@	0	(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)
1.0ms	alpha	@	0	(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)
1.0ms	beta	@	-inf	(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)
0.0ms	alpha	@	inf	(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`pow1_binary64`
853×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
838×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	165	8
2	2487	8

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))))

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

57×	`fma-def_binary64`
14×	`associate-r_binary64`
12×	`*-commutative_binary64`
12×	`associate-/l*_binary64`
10×	`associate-/r*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	249
1	26	249
2	41	249
3	45	249
4	54	228
5	73	186
6	98	186
7	153	186
8	188	186
9	190	186

Stop Event

1×

saturated

Counts

55 → 37

Calls

Call 1

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

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

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta)))) 2)
✓	0.8b	(.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta))
✓	1.6b	(/.f64 (+.f64 (+.f64 beta beta) 2) (*.f64 alpha alpha))
✓	4.0b	(fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) (.f64 alpha alpha)) (-.f64 -2 beta))))

Compiler

Compiled 111 to 55 computations (50.5% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite147.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`fma-def_binary64`
460×	`fma-neg_binary64`
335×	`expm1-udef_binary64`
335×	`log1p-udef_binary64`
200×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	99
1	384	87
2	5915	87

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha)) (/.f64 (+.f64 beta beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta beta) alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 beta beta) alpha) 1) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (.f64 (.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (/.f64 beta alpha) (.f64 (.f64 (fma.f64 2 beta 2) (-.f64 -2 beta)) (pow.f64 alpha -2))) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha)))) (cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 2)) (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha)))) (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta beta) alpha) 3) (pow.f64 (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha)) 3)) (fma.f64 (/.f64 (+.f64 beta beta) alpha) (/.f64 (+.f64 beta beta) alpha) (-.f64 (pow.f64 (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha)) 2) (.f64 (/.f64 (+.f64 beta beta) alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (/.f64 (+.f64 beta beta) alpha) (/.f64 (+.f64 beta beta) alpha)) (pow.f64 (fma.f64 (fma.f64 2 beta 2) 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2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 (fma.f64 2 beta 2) (*.f64 (pow.f64 alpha -2) (-.f64 -2 beta)) (/.f64 2 alpha))) 1/2)) 1))))))

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

681×	`times-frac_binary64`
573×	`associate-/l*_binary64`
439×	`associate-*l/_binary64`
368×	`fma-neg_binary64`
333×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	2391
1	254	2218
2	719	2159
3	2517	1929

Stop Event

1×	node limit

Counts

229 → 190

Calls

Call 1

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

Outputs
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 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 2 alpha) (-.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (.f64 alpha alpha))) (/.f64 2 alpha)) (/.f64 -4 (.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -6 alpha) alpha)) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (.f64 (/.f64 beta alpha) (+.f64 (/.f64 -6 alpha) 2)) (/.f64 -4 (.f64 alpha alpha))))
(-.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))))
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(fma.f64 1/2 (+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (.f64 alpha alpha))) (/.f64 2 alpha)) (/.f64 -4 (.f64 alpha alpha))) (/.f64 (.f64 (neg.f64 beta) beta) (.f64 alpha alpha)))
(-.f64 (+.f64 (/.f64 1 alpha) (.f64 1/2 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -6 alpha) alpha)) (/.f64 -4 (.f64 alpha alpha))))) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
(fma.f64 (.f64 (/.f64 beta alpha) (+.f64 (/.f64 -6 alpha) 2)) 1/2 (+.f64 (/.f64 1 alpha) (.f64 (/.f64 -1 (.f64 alpha alpha)) (+.f64 2 (.f64 beta beta)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1/2 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))))) (.f64 1/2 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))))
(fma.f64 -1 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 1/2 (+.f64 (.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (.f64 alpha alpha)))) (-.f64 (/.f64 2 alpha) (/.f64 4 (.f64 alpha alpha))))))
(fma.f64 1/2 (+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (.f64 alpha alpha))) (/.f64 2 alpha)) (/.f64 -4 (.f64 alpha alpha))) (/.f64 (.f64 (neg.f64 beta) beta) (.f64 alpha alpha)))
(-.f64 (+.f64 (/.f64 1 alpha) (.f64 1/2 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -6 alpha) alpha)) (/.f64 -4 (.f64 alpha alpha))))) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
(fma.f64 (.f64 (/.f64 beta alpha) (+.f64 (/.f64 -6 alpha) 2)) 1/2 (+.f64 (/.f64 1 alpha) (.f64 (/.f64 -1 (.f64 alpha alpha)) (+.f64 2 (.f64 beta beta)))))
(.f64 -1/2 (/.f64 (.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(.f64 (/.f64 (+.f64 2 (.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) -1/2)
(.f64 (.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha)) -1/2)
(.f64 (/.f64 (.f64 (+.f64 1 beta) -1) alpha) (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 1 beta) (/.f64 (*.f64 alpha alpha) (-.f64 -2 beta)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 2 (.f64 2 beta)) (/.f64 (.f64 alpha alpha) (+.f64 2 beta))) -1/2))
(fma.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha)) -1/2 (/.f64 1/2 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 -1/2 (fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 beta -2 -2) alpha)))
(.f64 (/.f64 (fma.f64 2 beta 2) alpha) (+.f64 (.f64 (/.f64 (+.f64 2 beta) alpha) -1/2) 1/2))
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 2 (.f64 2 beta)) (/.f64 (.f64 alpha alpha) (+.f64 2 beta))) -1/2))
(fma.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha)) -1/2 (/.f64 1/2 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 -1/2 (fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 beta -2 -2) alpha)))
(.f64 (/.f64 (fma.f64 2 beta 2) alpha) (+.f64 (.f64 (/.f64 (+.f64 2 beta) alpha) -1/2) 1/2))
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 2 (.f64 2 beta)) (/.f64 (.f64 alpha alpha) (+.f64 2 beta))) -1/2))
(fma.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha)) -1/2 (/.f64 1/2 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 -1/2 (fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 beta -2 -2) alpha)))
(.f64 (/.f64 (fma.f64 2 beta 2) alpha) (+.f64 (.f64 (/.f64 (+.f64 2 beta) alpha) -1/2) 1/2))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 1/2)
(/.f64 1/2 (/.f64 alpha (fma.f64 2 beta 2)))
(/.f64 (*.f64 (+.f64 1 beta) 1) alpha)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 2 (.f64 2 beta)) (/.f64 (.f64 alpha alpha) (+.f64 2 beta))) -1/2))
(fma.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha)) -1/2 (/.f64 1/2 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 -1/2 (fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 beta -2 -2) alpha)))
(.f64 (/.f64 (fma.f64 2 beta 2) alpha) (+.f64 (.f64 (/.f64 (+.f64 2 beta) alpha) -1/2) 1/2))
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 2 (.f64 2 beta)) (/.f64 (.f64 alpha alpha) (+.f64 2 beta))) -1/2))
(fma.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha)) -1/2 (/.f64 1/2 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 -1/2 (fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 beta -2 -2) alpha)))
(.f64 (/.f64 (fma.f64 2 beta 2) alpha) (+.f64 (.f64 (/.f64 (+.f64 2 beta) alpha) -1/2) 1/2))
(+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 2 (.f64 2 beta)) (/.f64 (.f64 alpha alpha) (+.f64 2 beta))) -1/2))
(fma.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha)) -1/2 (/.f64 1/2 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 -1/2 (fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 beta -2 -2) alpha)))
(.f64 (/.f64 (fma.f64 2 beta 2) alpha) (+.f64 (.f64 (/.f64 (+.f64 2 beta) alpha) -1/2) 1/2))
(.f64 -1/2 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 1/2)
(/.f64 1/2 (/.f64 alpha (fma.f64 2 beta 2)))
(/.f64 (*.f64 (+.f64 1 beta) 1) alpha)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1/2 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)))
(fma.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 2 (.f64 2 beta)) (/.f64 (.f64 alpha alpha) (+.f64 2 beta))) -1/2))
(fma.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha)) -1/2 (/.f64 1/2 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 -1/2 (fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 beta -2 -2) alpha)))
(.f64 (/.f64 (fma.f64 2 beta 2) alpha) (+.f64 (.f64 (/.f64 (+.f64 2 beta) alpha) -1/2) 1/2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1/2 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)))
(fma.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 2 (.f64 2 beta)) (/.f64 (.f64 alpha alpha) (+.f64 2 beta))) -1/2))
(fma.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha)) -1/2 (/.f64 1/2 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 -1/2 (fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 beta -2 -2) alpha)))
(.f64 (/.f64 (fma.f64 2 beta 2) alpha) (+.f64 (.f64 (/.f64 (+.f64 2 beta) alpha) -1/2) 1/2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (.f64 -1/2 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)))
(fma.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 2 (.f64 2 beta)) (/.f64 (.f64 alpha alpha) (+.f64 2 beta))) -1/2))
(fma.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha)) -1/2 (/.f64 1/2 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 -1/2 (fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 beta -2 -2) alpha)))
(.f64 (/.f64 (fma.f64 2 beta 2) alpha) (+.f64 (.f64 (/.f64 (+.f64 2 beta) alpha) -1/2) 1/2))

localize54.0ms (0.4%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(pow.f64 (+.f64 beta alpha) 2)

✓

17.7b

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

✓

19.6b

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

Compiler

Compiled 82 to 45 computations (45.1% saved)

series35.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	alpha	@	inf	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1)
3.0ms	alpha	@	-inf	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1)
3.0ms	beta	@	0	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1)
3.0ms	alpha	@	0	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1)
3.0ms	beta	@	0	(/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))

rewrite144.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`log-prod_binary64`
583×	`fma-def_binary64`
376×	`fma-neg_binary64`
296×	`log1p-udef_binary64`
295×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	333	49
2	4849	49

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs

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

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

(pow.f64 (+.f64 beta alpha) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 4 (neg.f64 (pow.f64 (+.f64 beta alpha) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (-.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 2)) (/.f64 (sqrt.f64 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simplify194.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

803×	`times-frac_binary64`
667×	`cancel-sign-sub-inv_binary64`
406×	`unsub-neg_binary64`
383×	`fma-def_binary64`
337×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	4836
1	1304	4150
2	5584	4071

Stop Event

1×	node limit

Counts

192 → 214

Calls

Call 1

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

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

eval773.0ms (6.1%)

Compiler: Compiled 28330 to 19700 computations (30.5% saved)

prune325.0ms (2.6%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	829	10	839
Fresh	5	6	11
Picked	1	0	1
Done	2	3	5
Total	837	19	856

Error

0.0b

Counts

856 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.9b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha) 1)) 2)
	44.1b	(/.f64 (/.f64 (+.f64 (+.f64 (neg.f64 beta) 2) (*.f64 3 beta)) alpha) 2)
✓	16.9b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
✓	17.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
	19.3b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	58.3b	(/.f64 (*.f64 beta (/.f64 2 alpha)) 2)
	17.4b	(/.f64 (/.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)))) 2)
▶	19.3b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
	44.0b	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
	47.1b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.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)))) 2)
	47.1b	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	33.7b	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 alpha alpha) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2)
▶	47.3b	(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (.f64 (/.f64 (+.f64 alpha 2) (.f64 beta beta)) (+.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 -2 beta) (/.f64 alpha beta)))) 2)
	31.6b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	17.7b	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
▶	17.5b	(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
✓	42.2b	(/.f64 2 2)
	44.6b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2)
▶	44.0b	(/.f64 (+.f64 1 beta) alpha)

Compiler

Compiled 751 to 551 computations (26.6% saved)

localize84.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha) 1))
✓	0.0b	(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha)
✓	4.0b	(-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha) 1)

Compiler

Compiled 96 to 65 computations (32.3% saved)

series174.0ms (1.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
158.0ms	beta	@	0	(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha) 1))
1.0ms	beta	@	0	(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
1.0ms	beta	@	inf	(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha) 1))
1.0ms	alpha	@	inf	(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
1.0ms	alpha	@	0	(/.f64 1 (+.f64 alpha (+.f64 2 beta)))

rewrite128.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`fma-neg_binary64`
341×	`log-div_binary64`
297×	`log1p-udef_binary64`
296×	`expm1-udef_binary64`
229×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	355	49
2	5438	49

Stop Event

1×	node limit

Counts

4 → 195

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) (-.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 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-1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (+.f64 alpha (+.f64 2 beta)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 alpha) (/.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 alpha) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 alpha 1) (+.f64 alpha (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 alpha) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 alpha -1) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) -1)))))
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alpha (+.f64 2 beta)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 beta beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 alpha alpha (.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 alpha (+.f64 2 beta)) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 beta alpha) 2) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 beta (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))) (cbrt.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 beta (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1))))))

simplify116.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

737×	`associate-/l*_binary64`
643×	`associate-/r*_binary64`
425×	`cancel-sign-sub-inv_binary64`
340×	`associate-*l/_binary64`
240×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	3064
1	792	2903
2	2861	2681

Stop Event

1×	node limit

Counts

291 → 324

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

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 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 alpha (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 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 beta 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3) (*.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)) alpha))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 (neg.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 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))
(*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.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 (+.f64 beta 2) alpha) (+.f64 -1 (/.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 (+.f64 beta 2) alpha) (+.f64 -1 (/.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 (+.f64 (neg.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 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))
(*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.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 (+.f64 beta 2) alpha) (+.f64 -1 (/.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 (+.f64 beta 2) alpha) (+.f64 -1 (/.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 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) 1))
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))
(-.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 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha))) 1))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) beta)) alpha) (.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 (.f64 beta beta) (+.f64 alpha 2)) beta)) (+.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 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha)) (fma.f64 -1 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 4) alpha)) (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))))) 1))
(+.f64 -1 (+.f64 (-.f64 (.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) beta)) alpha) (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 4) alpha))) (-.f64 (/.f64 alpha (+.f64 alpha 2)) (.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (-.f64 (.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 (.f64 beta beta) (+.f64 alpha 2)) beta)) (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) 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 (*.f64 beta beta) alpha))) 1))
(+.f64 -1 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))))
(+.f64 (/.f64 (-.f64 -2 alpha) (*.f64 (/.f64 beta alpha) beta)) (+.f64 -1 (/.f64 alpha beta)))
(-.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 (*.f64 beta beta) alpha))) 1)))
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha beta) (.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 (.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))))
(+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (-.f64 -2 alpha) (*.f64 (/.f64 beta alpha) beta))) (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 (*.f64 beta beta) alpha))) 1))
(+.f64 -1 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))))
(+.f64 (/.f64 (-.f64 -2 alpha) (*.f64 (/.f64 beta alpha) beta)) (+.f64 -1 (/.f64 alpha beta)))
(-.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 (*.f64 beta beta) alpha))) 1)))
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha beta) (.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 (.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))))
(+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (-.f64 -2 alpha) (*.f64 (/.f64 beta alpha) beta))) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha -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)))
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2)))
(-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))
(-.f64 (/.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)) alpha))
(+.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 (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)))
(+.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)))
(+.f64 (/.f64 alpha (+.f64 beta 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3) (*.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)) alpha)))
(+.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)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))))
(+.f64 (/.f64 alpha (+.f64 beta 2)) (-.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)) alpha)))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1)
(-.f64 1 (/.f64 (+.f64 beta 2) alpha))
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(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
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(+.f64 1 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))))
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(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 1 (-.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 1 (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1)
(-.f64 1 (/.f64 (+.f64 beta 2) alpha))
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(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 1 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 1 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))))
(+.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))))))
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2
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2
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (.f64 -1 alpha)) beta)) 2)
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
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(/.f64 (neg.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2)) alpha)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
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localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 beta) alpha)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite123.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`pow1_binary64`
653×	`add-log-exp_binary64`
653×	`log1p-expm1-u_binary64`
653×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1729	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 1 beta) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 1 beta)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 1 beta) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 beta) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 1 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)))))))

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	186
1	13	186

Stop Event

1×

saturated

Counts

55 → 37

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	0.0b	(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)

Compiler

Compiled 41 to 27 computations (34.1% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`prod-diff_binary64`
486×	`log-prod_binary64`
358×	`fma-def_binary64`
289×	`pow2_binary64`
261×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	214	13
2	3131	13

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) 1) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) (fma.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) -1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) (fma.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) -1 1)) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) (fma.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) -1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) -1) (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) 1)) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) (fma.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) -1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) (fma.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) -1 1)) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 beta) (/.f64 1 (neg.f64 (+.f64 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) beta 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 2 (+.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) 1)))))

simplify120.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-neg_binary64`
571×	`associate-/l/_binary64`
382×	`distribute-rgt-in_binary64`
379×	`distribute-lft-in_binary64`
340×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	529
1	207	507
2	698	478
3	3484	449

Stop Event

1×	node limit

Counts

77 → 78

Calls

Call 1

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

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

localize162.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (/.f64 (+.f64 alpha 2) (.f64 beta beta)) (+.f64 alpha (+.f64 alpha 2)))
✓	1.5b	(/.f64 (+.f64 alpha 2) (*.f64 beta beta))
✓	2.4b	(+.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (.f64 (/.f64 (+.f64 alpha 2) (.f64 beta beta)) (+.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 -2 beta) (/.f64 alpha beta))))
✓	2.4b	(+.f64 (.f64 (/.f64 (+.f64 alpha 2) (.f64 beta beta)) (+.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 -2 beta) (/.f64 alpha beta)))

Compiler

Compiled 132 to 69 computations (47.7% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite141.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

387×	`log1p-udef_binary64`
226×	`add-sqr-sqrt_binary64`
221×	`*-un-lft-identity_binary64`
221×	`pow1_binary64`
212×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	90
1	418	90
2	7505	90

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2 beta) (-.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) (+.f64 alpha (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (.f64 (+.f64 alpha 2) (pow.f64 beta -2)) (+.f64 alpha (+.f64 alpha 2)) (/.f64 -2 beta)) (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (+.f64 alpha 2) (pow.f64 beta -2)) (+.f64 alpha (+.f64 alpha 2)) (/.f64 (-.f64 -2 alpha) beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) (+.f64 alpha (+.f64 alpha 2)))) 2) (-.f64 (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) (+.f64 alpha (+.f64 alpha 2)))) (/.f64 (-.f64 -2 alpha) beta))) (/.f64 (pow.f64 (/.f64 (-.f64 -2 alpha) beta) 2) (-.f64 (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) (+.f64 alpha (+.f64 alpha 2)))) (/.f64 (-.f64 -2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 (+.f64 alpha 2) (pow.f64 beta -2)) (+.f64 alpha (+.f64 alpha 2)) (/.f64 (-.f64 -2 alpha) beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 (+.f64 alpha 2) (pow.f64 beta -2)) (+.f64 alpha (+.f64 alpha 2)) (/.f64 (-.f64 -2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 (+.f64 alpha 2) (pow.f64 beta -2)) (+.f64 alpha (+.f64 alpha 2)) (/.f64 (-.f64 -2 alpha) beta))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 (+.f64 alpha 2) (pow.f64 beta -2)) (+.f64 alpha (+.f64 alpha 2)) (/.f64 (-.f64 -2 alpha) beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (+.f64 alpha 2) (pow.f64 beta -2)) (+.f64 alpha (+.f64 alpha 2)) (/.f64 (-.f64 -2 alpha) beta))) 2) (cbrt.f64 (fma.f64 (.f64 (+.f64 alpha 2) (pow.f64 beta -2)) (+.f64 alpha (+.f64 alpha 2)) (/.f64 (-.f64 -2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 (+.f64 alpha 2) (pow.f64 beta -2)) 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(sqrt.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 alpha 2)))) beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) (+.f64 alpha (+.f64 alpha 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) (+.f64 alpha (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 alpha 2))) (.f64 (+.f64 alpha 2) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) (+.f64 alpha (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) (+.f64 alpha (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) (+.f64 alpha (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) (+.f64 alpha (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) (+.f64 alpha (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) (+.f64 alpha (+.f64 alpha 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (.f64 (+.f64 alpha 2) (pow.f64 beta -2)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 alpha 2) (pow.f64 beta -2)) alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))))))

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

856×	`times-frac_binary64`
491×	`fma-neg_binary64`
457×	`associate-/l*_binary64`
315×	`cancel-sign-sub-inv_binary64`
313×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	2272
1	274	2170
2	691	2027
3	2462	1805

Stop Event

1×	node limit

Counts

285 → 243

Calls

Call 1

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

Outputs
(-.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (.f64 2 (/.f64 1 beta)))
(-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))
(+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (.f64 alpha (-.f64 (.f64 6 (/.f64 1 (pow.f64 beta 2))) (/.f64 1 beta)))) (.f64 2 (/.f64 1 beta)))
(+.f64 (/.f64 4 (.f64 beta beta)) (-.f64 (.f64 alpha (-.f64 (/.f64 6 (*.f64 beta beta)) (/.f64 1 beta))) (/.f64 2 beta)))
(+.f64 (/.f64 4 (.f64 beta beta)) (fma.f64 alpha (+.f64 (/.f64 6 (.f64 beta beta)) (/.f64 -1 beta)) (/.f64 -2 beta)))
(+.f64 (.f64 (/.f64 1 (.f64 beta beta)) (+.f64 4 (*.f64 alpha 6))) (/.f64 (-.f64 -2 alpha) beta))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 alpha (-.f64 (.f64 6 (/.f64 1 (pow.f64 beta 2))) (/.f64 1 beta))) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) (*.f64 2 (/.f64 1 beta)))
(+.f64 (/.f64 4 (.f64 beta beta)) (-.f64 (fma.f64 alpha (-.f64 (/.f64 6 (.f64 beta beta)) (/.f64 1 beta)) (.f64 2 (/.f64 (.f64 alpha alpha) (*.f64 beta beta)))) (/.f64 2 beta)))
(+.f64 (/.f64 4 (.f64 beta beta)) (+.f64 (.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (fma.f64 alpha (+.f64 (/.f64 6 (*.f64 beta beta)) (/.f64 -1 beta)) (/.f64 -2 beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (fma.f64 alpha (+.f64 (/.f64 6 (.f64 beta beta)) (/.f64 -1 beta)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (/.f64 -2 beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (+.f64 (.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 2 alpha) beta) (/.f64 6 beta))) (/.f64 (-.f64 -2 alpha) beta)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 alpha (-.f64 (.f64 6 (/.f64 1 (pow.f64 beta 2))) (/.f64 1 beta))) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) (*.f64 2 (/.f64 1 beta)))
(+.f64 (/.f64 4 (.f64 beta beta)) (-.f64 (fma.f64 alpha (-.f64 (/.f64 6 (.f64 beta beta)) (/.f64 1 beta)) (.f64 2 (/.f64 (.f64 alpha alpha) (*.f64 beta beta)))) (/.f64 2 beta)))
(+.f64 (/.f64 4 (.f64 beta beta)) (+.f64 (.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (fma.f64 alpha (+.f64 (/.f64 6 (*.f64 beta beta)) (/.f64 -1 beta)) (/.f64 -2 beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (fma.f64 alpha (+.f64 (/.f64 6 (.f64 beta beta)) (/.f64 -1 beta)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (/.f64 -2 beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (+.f64 (.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 2 alpha) beta) (/.f64 6 beta))) (/.f64 (-.f64 -2 alpha) beta)))
(*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(.f64 2 (/.f64 (.f64 alpha alpha) (*.f64 beta beta)))
(.f64 2 (.f64 (/.f64 alpha beta) (/.f64 alpha beta)))
(+.f64 (.f64 alpha (-.f64 (.f64 6 (/.f64 1 (pow.f64 beta 2))) (/.f64 1 beta))) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(fma.f64 alpha (-.f64 (/.f64 6 (.f64 beta beta)) (/.f64 1 beta)) (.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta))))
(fma.f64 alpha (+.f64 (/.f64 6 (.f64 beta beta)) (/.f64 -1 beta)) (.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta))))
(fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (.f64 alpha (+.f64 (/.f64 6 (.f64 beta beta)) (/.f64 -1 beta))))
(-.f64 (.f64 (/.f64 alpha beta) (+.f64 (/.f64 (.f64 2 alpha) beta) (/.f64 6 beta))) (/.f64 alpha beta))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 alpha (-.f64 (.f64 6 (/.f64 1 (pow.f64 beta 2))) (/.f64 1 beta))) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) (*.f64 2 (/.f64 1 beta)))
(+.f64 (/.f64 4 (.f64 beta beta)) (-.f64 (fma.f64 alpha (-.f64 (/.f64 6 (.f64 beta beta)) (/.f64 1 beta)) (.f64 2 (/.f64 (.f64 alpha alpha) (*.f64 beta beta)))) (/.f64 2 beta)))
(+.f64 (/.f64 4 (.f64 beta beta)) (+.f64 (.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (fma.f64 alpha (+.f64 (/.f64 6 (*.f64 beta beta)) (/.f64 -1 beta)) (/.f64 -2 beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (fma.f64 alpha (+.f64 (/.f64 6 (.f64 beta beta)) (/.f64 -1 beta)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (/.f64 -2 beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (+.f64 (.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 2 alpha) beta) (/.f64 6 beta))) (/.f64 (-.f64 -2 alpha) beta)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 alpha (-.f64 (.f64 6 (/.f64 1 (pow.f64 beta 2))) (/.f64 1 beta))) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) (*.f64 2 (/.f64 1 beta)))
(+.f64 (/.f64 4 (.f64 beta beta)) (-.f64 (fma.f64 alpha (-.f64 (/.f64 6 (.f64 beta beta)) (/.f64 1 beta)) (.f64 2 (/.f64 (.f64 alpha alpha) (*.f64 beta beta)))) (/.f64 2 beta)))
(+.f64 (/.f64 4 (.f64 beta beta)) (+.f64 (.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (fma.f64 alpha (+.f64 (/.f64 6 (*.f64 beta beta)) (/.f64 -1 beta)) (/.f64 -2 beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (fma.f64 alpha (+.f64 (/.f64 6 (.f64 beta beta)) (/.f64 -1 beta)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (/.f64 -2 beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (+.f64 (.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 2 alpha) beta) (/.f64 6 beta))) (/.f64 (-.f64 -2 alpha) beta)))
(*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(.f64 2 (/.f64 (.f64 alpha alpha) (*.f64 beta beta)))
(.f64 2 (.f64 (/.f64 alpha beta) (/.f64 alpha beta)))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 beta) (.f64 6 (/.f64 1 (pow.f64 beta 2)))) alpha)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(fma.f64 alpha (-.f64 (/.f64 6 (.f64 beta beta)) (/.f64 1 beta)) (.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta))))
(fma.f64 alpha (+.f64 (/.f64 6 (.f64 beta beta)) (/.f64 -1 beta)) (.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta))))
(fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (.f64 alpha (+.f64 (/.f64 6 (.f64 beta beta)) (/.f64 -1 beta))))
(-.f64 (.f64 (/.f64 alpha beta) (+.f64 (/.f64 (.f64 2 alpha) beta) (/.f64 6 beta))) (/.f64 alpha beta))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 beta) (.f64 6 (/.f64 1 (pow.f64 beta 2)))) alpha)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) (.f64 2 (/.f64 1 beta)))
(+.f64 (/.f64 4 (.f64 beta beta)) (-.f64 (fma.f64 alpha (-.f64 (/.f64 6 (.f64 beta beta)) (/.f64 1 beta)) (.f64 2 (/.f64 (.f64 alpha alpha) (*.f64 beta beta)))) (/.f64 2 beta)))
(+.f64 (/.f64 4 (.f64 beta beta)) (+.f64 (.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (fma.f64 alpha (+.f64 (/.f64 6 (*.f64 beta beta)) (/.f64 -1 beta)) (/.f64 -2 beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (fma.f64 alpha (+.f64 (/.f64 6 (.f64 beta beta)) (/.f64 -1 beta)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (/.f64 -2 beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (+.f64 (.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 2 alpha) beta) (/.f64 6 beta))) (/.f64 (-.f64 -2 alpha) beta)))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 beta) (.f64 6 (/.f64 1 (pow.f64 beta 2)))) alpha)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) (.f64 2 (/.f64 1 beta)))
(+.f64 (/.f64 4 (.f64 beta beta)) (-.f64 (fma.f64 alpha (-.f64 (/.f64 6 (.f64 beta beta)) (/.f64 1 beta)) (.f64 2 (/.f64 (.f64 alpha alpha) (*.f64 beta beta)))) (/.f64 2 beta)))
(+.f64 (/.f64 4 (.f64 beta beta)) (+.f64 (.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (fma.f64 alpha (+.f64 (/.f64 6 (*.f64 beta beta)) (/.f64 -1 beta)) (/.f64 -2 beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (fma.f64 alpha (+.f64 (/.f64 6 (.f64 beta beta)) (/.f64 -1 beta)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (/.f64 -2 beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (+.f64 (.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 2 alpha) beta) (/.f64 6 beta))) (/.f64 (-.f64 -2 alpha) beta)))
(/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2))
(/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta))
(.f64 (fma.f64 2 alpha 2) (/.f64 (+.f64 2 alpha) (.f64 beta beta)))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2)))))
(-.f64 (*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta)) (/.f64 (+.f64 2 alpha) beta))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (+.f64 (/.f64 (fma.f64 2 alpha 2) beta) -1))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2)))))
(-.f64 (*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta)) (/.f64 (+.f64 2 alpha) beta))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (+.f64 (/.f64 (fma.f64 2 alpha 2) beta) -1))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2)))))
(-.f64 (*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta)) (/.f64 (+.f64 2 alpha) beta))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (+.f64 (/.f64 (fma.f64 2 alpha 2) beta) -1))
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta))
(neg.f64 (/.f64 (+.f64 2 alpha) beta))
(/.f64 (neg.f64 (+.f64 2 alpha)) beta)
(/.f64 (-.f64 -2 alpha) beta)
(+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2)))))
(-.f64 (*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta)) (/.f64 (+.f64 2 alpha) beta))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (+.f64 (/.f64 (fma.f64 2 alpha 2) beta) -1))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2)))))
(-.f64 (*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta)) (/.f64 (+.f64 2 alpha) beta))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (+.f64 (/.f64 (fma.f64 2 alpha 2) beta) -1))
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(+.f64 (/.f64 2 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (+.f64 2 alpha) (*.f64 beta beta))
(/.f64 (+.f64 2 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 2 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (+.f64 2 alpha) (*.f64 beta beta))
(/.f64 (+.f64 2 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 2 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (+.f64 2 alpha) (*.f64 beta beta))
(/.f64 (+.f64 2 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 2 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (+.f64 2 alpha) (*.f64 beta beta))
(/.f64 (+.f64 2 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 2 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (+.f64 2 alpha) (*.f64 beta beta))
(/.f64 4 (pow.f64 beta 2))
(/.f64 4 (*.f64 beta beta))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (.f64 6 (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 4 (.f64 beta beta)) (.f64 6 (/.f64 alpha (*.f64 beta beta))))
(fma.f64 6 (/.f64 alpha (.f64 beta beta)) (/.f64 4 (.f64 beta beta)))
(.f64 (/.f64 1 (.f64 beta beta)) (+.f64 4 (*.f64 alpha 6)))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 6 (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 4 (.f64 beta beta)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (.f64 6 (/.f64 alpha (*.f64 beta beta)))))
(fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (fma.f64 6 (/.f64 alpha (.f64 beta beta)) (/.f64 4 (.f64 beta beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 2 alpha) beta) (/.f64 6 beta))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 6 (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 4 (.f64 beta beta)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (.f64 6 (/.f64 alpha (*.f64 beta beta)))))
(fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (fma.f64 6 (/.f64 alpha (.f64 beta beta)) (/.f64 4 (.f64 beta beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 2 alpha) beta) (/.f64 6 beta))))
(*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(.f64 2 (/.f64 (.f64 alpha alpha) (*.f64 beta beta)))
(.f64 2 (.f64 (/.f64 alpha beta) (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (.f64 6 (/.f64 alpha (pow.f64 beta 2))))
(fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (.f64 6 (/.f64 alpha (.f64 beta beta))))
(fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (.f64 alpha (/.f64 6 (.f64 beta beta))))
(.f64 (/.f64 alpha beta) (+.f64 (/.f64 (.f64 2 alpha) beta) (/.f64 6 beta)))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 6 (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 4 (.f64 beta beta)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (.f64 6 (/.f64 alpha (*.f64 beta beta)))))
(fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (fma.f64 6 (/.f64 alpha (.f64 beta beta)) (/.f64 4 (.f64 beta beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 2 alpha) beta) (/.f64 6 beta))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 6 (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 4 (.f64 beta beta)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (.f64 6 (/.f64 alpha (*.f64 beta beta)))))
(fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (fma.f64 6 (/.f64 alpha (.f64 beta beta)) (/.f64 4 (.f64 beta beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 2 alpha) beta) (/.f64 6 beta))))
(*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(.f64 2 (/.f64 (.f64 alpha alpha) (*.f64 beta beta)))
(.f64 2 (.f64 (/.f64 alpha beta) (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (.f64 6 (/.f64 alpha (pow.f64 beta 2))))
(fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (.f64 6 (/.f64 alpha (.f64 beta beta))))
(fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (.f64 alpha (/.f64 6 (.f64 beta beta))))
(.f64 (/.f64 alpha beta) (+.f64 (/.f64 (.f64 2 alpha) beta) (/.f64 6 beta)))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 6 (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 4 (.f64 beta beta)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (.f64 6 (/.f64 alpha (*.f64 beta beta)))))
(fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (fma.f64 6 (/.f64 alpha (.f64 beta beta)) (/.f64 4 (.f64 beta beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 2 alpha) beta) (/.f64 6 beta))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 6 (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 4 (.f64 beta beta)) (fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (.f64 6 (/.f64 alpha (*.f64 beta beta)))))
(fma.f64 2 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (fma.f64 6 (/.f64 alpha (.f64 beta beta)) (/.f64 4 (.f64 beta beta))))
(+.f64 (/.f64 4 (.f64 beta beta)) (.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 2 alpha) beta) (/.f64 6 beta))))
(/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2))
(/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta))
(.f64 (fma.f64 2 alpha 2) (/.f64 (+.f64 2 alpha) (.f64 beta beta)))
(/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2))
(/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta))
(.f64 (fma.f64 2 alpha 2) (/.f64 (+.f64 2 alpha) (.f64 beta beta)))
(/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2))
(/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta))
(.f64 (fma.f64 2 alpha 2) (/.f64 (+.f64 2 alpha) (.f64 beta beta)))
(/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2))
(/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta))
(.f64 (fma.f64 2 alpha 2) (/.f64 (+.f64 2 alpha) (.f64 beta beta)))
(/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2))
(/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta))
(.f64 (fma.f64 2 alpha 2) (/.f64 (+.f64 2 alpha) (.f64 beta beta)))
(/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2))
(/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta))
(.f64 (fma.f64 2 alpha 2) (/.f64 (+.f64 2 alpha) (.f64 beta beta)))
(/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2))
(/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta))
(.f64 (fma.f64 2 alpha 2) (/.f64 (+.f64 2 alpha) (.f64 beta beta)))
(/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2))
(/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta))
(.f64 (fma.f64 2 alpha 2) (/.f64 (+.f64 2 alpha) (.f64 beta beta)))
(/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2))
(/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta))
(.f64 (fma.f64 2 alpha 2) (/.f64 (+.f64 2 alpha) (.f64 beta beta)))
(/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2))
(/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta))
(.f64 (fma.f64 2 alpha 2) (/.f64 (+.f64 2 alpha) (.f64 beta beta)))
(/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2))
(/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta))
(.f64 (fma.f64 2 alpha 2) (/.f64 (+.f64 2 alpha) (.f64 beta beta)))
(/.f64 (.f64 (+.f64 2 alpha) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2))
(/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (-.f64 2 (.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (fma.f64 2 alpha 2) beta))
(.f64 (fma.f64 2 alpha 2) (/.f64 (+.f64 2 alpha) (.f64 beta beta)))

localize93.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)
✓	0.6b	(/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))
✓	1.5b	(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)
✓	8.4b	(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))

Compiler

Compiled 219 to 148 computations (32.4% saved)

series71.0ms (0.6%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
37.0ms	alpha	@	inf	(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))
8.0ms	beta	@	0	(/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))
4.0ms	alpha	@	inf	(/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))
3.0ms	alpha	@	-inf	(/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))
2.0ms	alpha	@	0	(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))

rewrite131.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

370×	`log1p-udef_binary64`
369×	`expm1-udef_binary64`
224×	`add-sqr-sqrt_binary64`
220×	`pow1_binary64`
219×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	127
1	426	127
2	7327	127

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) beta) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 1) (.f64 (/.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 beta (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 beta (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) -1) (.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (neg.f64 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (.f64 beta (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (.f64 (neg.f64 beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) -1)) (.f64 beta (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) -1)) (.f64 (neg.f64 beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 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4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 alpha (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 alpha (.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 alpha alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 alpha) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha) (neg.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 alpha) (neg.f64 alpha)) (.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 alpha) 1) (.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 alpha (neg.f64 alpha)) (.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 alpha) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (neg.f64 alpha)) (neg.f64 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 1))))))

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
382×	`times-frac_binary64`
359×	`associate-/l*_binary64`
359×	`distribute-rgt-in_binary64`
348×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	604	8610
1	2317	7147

Stop Event

1×	node limit

Counts

257 → 312

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (+.f64 beta 2) beta))
(+.f64 (.f64 -1 (/.f64 alpha beta)) (.f64 -1 (/.f64 (+.f64 beta 2) beta)))
(+.f64 (/.f64 (pow.f64 alpha 2) (.f64 beta (+.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))))
(+.f64 (/.f64 (pow.f64 alpha 2) (.f64 beta (+.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) beta)) (.f64 -1 (/.f64 (pow.f64 alpha 3) (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))
(*.f64 -2 (/.f64 (+.f64 beta 2) beta))
(+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta alpha))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta alpha)) (.f64 -2 (/.f64 (+.f64 beta 2) beta)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta alpha))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta alpha)) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) beta)) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 beta (pow.f64 alpha 2)))) (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (*.f64 beta (pow.f64 alpha 2))))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta alpha))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta alpha)) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 beta (pow.f64 alpha 2)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 beta (pow.f64 alpha 3))) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 beta (pow.f64 alpha 3)))) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) beta)) (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 beta (pow.f64 alpha 3))))))))))))
(.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) beta))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) beta)) (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) beta)) alpha)) (.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) beta)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) beta)) (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) beta)) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) beta)) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 beta (pow.f64 alpha 2)))) (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (.f64 beta (pow.f64 alpha 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) beta)) (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2)) beta)) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) beta)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 4 (pow.f64 (+.f64 beta 2) 4))) beta))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) beta)) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (.f64 beta (pow.f64 alpha 2)))) (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (.f64 beta (pow.f64 alpha 2)))))))
(/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)) beta)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)) beta))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)) beta) (.f64 beta (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 2 alpha)) (.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)))))))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 -4 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)) beta) (.f64 beta (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 2 alpha)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3))))))))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) 1)
(*.f64 -2 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))))))
(.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) alpha))
(+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))))))
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 -2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) 1)
(-.f64 (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 5))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 -2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))))) 1)
(/.f64 (.f64 beta (-.f64 1 (.f64 -1 (/.f64 (+.f64 beta 2) beta)))) (+.f64 beta 2))
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(+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1)))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)) (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (+.f64 (/.f64 (pow.f64 alpha 2) (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1))) (.f64 -2 (/.f64 (pow.f64 alpha 2) (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (pow.f64 (+.f64 2 alpha) 3)))))))) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (.f64 -4 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))) (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)) (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (+.f64 (/.f64 (.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1)))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)) (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (+.f64 (/.f64 (pow.f64 alpha 2) (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1))) (.f64 -2 (/.f64 (pow.f64 alpha 2) (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (pow.f64 (+.f64 2 alpha) 3)))))))) (.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))))) (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (/.f64 (pow.f64 alpha 2) (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (.f64 -2 (/.f64 (pow.f64 alpha 2) (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))))) (.f64 (+.f64 2 alpha) (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1) (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1))) (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 2 alpha)) (+.f64 (.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 2 alpha)))) (+.f64 (/.f64 (.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (/.f64 (pow.f64 alpha 2) (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (.f64 -2 (/.f64 (pow.f64 alpha 2) (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))))) (.f64 (+.f64 2 alpha) (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)) (.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))))))))
2
(-.f64 (+.f64 (/.f64 alpha beta) 2) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (.f64 2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) alpha)) (.f64 (+.f64 2 alpha) alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (.f64 (-.f64 alpha (+.f64 (.f64 2 (+.f64 2 (.f64 2 alpha))) (.f64 -1 (+.f64 2 alpha)))) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2)) (.f64 2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))))))
(-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))) (pow.f64 beta 3)))))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) alpha)) (.f64 (+.f64 2 alpha) alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (.f64 (-.f64 alpha (+.f64 (.f64 2 (+.f64 2 (.f64 2 alpha))) (.f64 -1 (+.f64 2 alpha)))) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 2)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 beta 3))) (+.f64 (.f64 2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 (pow.f64 alpha 2) (.f64 (+.f64 2 alpha) alpha))) (+.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) alpha)) (.f64 (+.f64 2 alpha) alpha))) (.f64 (-.f64 alpha (+.f64 (.f64 2 (+.f64 2 (.f64 2 alpha))) (.f64 -1 (+.f64 2 alpha)))) (+.f64 2 (.f64 2 alpha))))) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 3)) (/.f64 (.f64 (-.f64 alpha (+.f64 (.f64 2 (+.f64 2 (.f64 2 alpha))) (.f64 -1 (+.f64 2 alpha)))) (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) alpha)) (.f64 (+.f64 2 alpha) alpha))) (pow.f64 beta 3)))))))))
2
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) 2) (.f64 2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 2 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 alpha 2)) (+.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) alpha)) (.f64 (+.f64 2 alpha) alpha))) (.f64 -1 (.f64 (+.f64 2 (.f64 2 alpha)) (-.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 2 (+.f64 2 (.f64 2 alpha)))))))) (pow.f64 beta 2))))) (.f64 2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 alpha 2)) (+.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) alpha)) (.f64 (+.f64 2 alpha) alpha))) (.f64 -1 (.f64 (+.f64 2 (.f64 2 alpha)) (-.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 2 (+.f64 2 (.f64 2 alpha)))))))) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (pow.f64 beta 3))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)))))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (.f64 -1 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 2 (+.f64 2 (.f64 2 alpha)))) (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) alpha)) (.f64 (+.f64 2 alpha) alpha))) (pow.f64 beta 3))) (+.f64 (.f64 2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (.f64 -1 (/.f64 (.f64 (+.f64 2 (.f64 2 alpha)) (-.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 alpha 2)) (+.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) alpha)) (.f64 (+.f64 2 alpha) alpha))) (.f64 -1 (.f64 (+.f64 2 (.f64 2 alpha)) (-.f64 (.f64 -1 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (.f64 2 (+.f64 2 (.f64 2 alpha))))))))) (pow.f64 beta 3)))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -4 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) alpha)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 -2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))
(+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 5))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 -2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
(+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5)))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
(+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5)))))))

Outputs
(*.f64 -1 (/.f64 (+.f64 beta 2) beta))
(/.f64 (neg.f64 (+.f64 beta 2)) beta)
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(-.f64 (+.f64 2 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 (+.f64 2 alpha) alpha (.f64 alpha alpha)) (fma.f64 2 (.f64 0 (.f64 alpha (+.f64 2 alpha))) (neg.f64 (.f64 (+.f64 2 (.f64 2 alpha)) (+.f64 (neg.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha))) (.f64 -2 (+.f64 2 (.f64 2 alpha)))))))) (.f64 beta beta)) (fma.f64 -1 (/.f64 (.f64 -1 (.f64 (.f64 alpha alpha) (+.f64 2 alpha))) (pow.f64 beta 3)) (+.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha))) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) alpha)))))) (fma.f64 2 (/.f64 (.f64 0 (.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (+.f64 (neg.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha))) (.f64 -2 (+.f64 2 (.f64 2 alpha)))) (/.f64 (pow.f64 beta 3) (.f64 0 (.f64 alpha (+.f64 2 alpha))))) (fma.f64 2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta) (neg.f64 (/.f64 (+.f64 2 (.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (-.f64 (fma.f64 (+.f64 2 alpha) alpha (.f64 alpha alpha)) (fma.f64 2 (.f64 0 (.f64 alpha (+.f64 2 alpha))) (neg.f64 (.f64 (+.f64 2 (.f64 2 alpha)) (+.f64 (neg.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha))) (.f64 -2 (+.f64 2 (.f64 2 alpha)))))))))))))))
(+.f64 2 (-.f64 (-.f64 (-.f64 (-.f64 (-.f64 (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) (/.f64 (.f64 (-.f64 -2 alpha) (.f64 alpha alpha)) (pow.f64 beta 3))) (/.f64 (-.f64 (.f64 alpha (+.f64 alpha (+.f64 2 alpha))) (.f64 (-.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) alpha)) (+.f64 4 (.f64 alpha 4))) (neg.f64 (fma.f64 2 alpha 2)))) (.f64 beta beta))) (/.f64 0 (pow.f64 beta 3))) (+.f64 (.f64 (/.f64 (-.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) alpha)) (+.f64 4 (.f64 alpha 4))) (pow.f64 beta 3)) 0) (-.f64 (/.f64 (+.f64 4 (.f64 alpha 4)) beta) (.f64 (/.f64 (fma.f64 2 alpha 2) (pow.f64 beta 3)) (-.f64 (.f64 alpha (+.f64 alpha (+.f64 2 alpha))) (.f64 (-.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) alpha)) (+.f64 4 (*.f64 alpha 4))) (neg.f64 (fma.f64 2 alpha 2)))))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -4 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))))
(+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 -4 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (fma.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))))
(+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 -4 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 1 (/.f64 (fma.f64 beta 2 4) alpha))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (.f64 3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)))))
(+.f64 (-.f64 1 (/.f64 (fma.f64 beta 2 4) alpha)) (.f64 3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 1 (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (.f64 3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (-.f64 1 (/.f64 (fma.f64 beta 2 4) alpha)) (.f64 3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) alpha)))
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 1 (/.f64 (fma.f64 beta 2 4) alpha))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (.f64 3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)))))
(+.f64 (-.f64 1 (/.f64 (fma.f64 beta 2 4) alpha)) (.f64 3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 1 (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (.f64 3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (-.f64 1 (/.f64 (fma.f64 beta 2 4) alpha)) (.f64 3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))
(/.f64 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 3) (*.f64 alpha alpha)))))
(fma.f64 -2 (.f64 (/.f64 beta (pow.f64 (+.f64 2 alpha) 3)) (.f64 alpha alpha)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 -2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))
(+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 3) (.f64 alpha alpha))) (.f64 (.f64 3 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 4))) (.f64 beta beta))))
(+.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (fma.f64 -2 (.f64 (/.f64 beta (pow.f64 (+.f64 2 alpha) 3)) (.f64 alpha alpha)) (.f64 beta (.f64 beta (.f64 3 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 4)))))))
(+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 5))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 -2 (/.f64 (.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))))
(fma.f64 -4 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 2 alpha) 5) (.f64 alpha alpha))) (+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 3) (.f64 alpha alpha))) (.f64 (.f64 3 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 beta beta)))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 5)) (.f64 alpha alpha)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (fma.f64 -2 (.f64 (/.f64 beta (pow.f64 (+.f64 2 alpha) 3)) (.f64 alpha alpha)) (.f64 beta (.f64 beta (.f64 3 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 4)))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
(/.f64 (.f64 alpha alpha) (.f64 beta beta))
(*.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(fma.f64 -2 (/.f64 (+.f64 2 alpha) (/.f64 (pow.f64 beta 3) (.f64 alpha alpha))) (/.f64 (.f64 alpha alpha) (*.f64 beta beta)))
(fma.f64 -2 (/.f64 (.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (.f64 (/.f64 alpha beta) (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))))
(fma.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha))) (+.f64 (fma.f64 -2 (/.f64 (+.f64 2 alpha) (/.f64 (pow.f64 beta 3) (.f64 alpha alpha))) (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha)))))
(+.f64 (.f64 3 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha)))) (fma.f64 -2 (/.f64 (.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (.f64 (/.f64 alpha beta) (/.f64 alpha beta))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5)))))))
(fma.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha))) (fma.f64 -2 (/.f64 (+.f64 2 alpha) (/.f64 (pow.f64 beta 3) (.f64 alpha alpha))) (+.f64 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (.f64 -4 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (/.f64 (pow.f64 beta 5) (*.f64 alpha alpha))))))))
(+.f64 (.f64 3 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha)))) (fma.f64 -2 (/.f64 (.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (/.f64 (pow.f64 beta 5) (.f64 alpha alpha))) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))))
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
(/.f64 (.f64 alpha alpha) (.f64 beta beta))
(*.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(fma.f64 -2 (/.f64 (+.f64 2 alpha) (/.f64 (pow.f64 beta 3) (.f64 alpha alpha))) (/.f64 (.f64 alpha alpha) (*.f64 beta beta)))
(fma.f64 -2 (/.f64 (.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (.f64 (/.f64 alpha beta) (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))))
(fma.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha))) (+.f64 (fma.f64 -2 (/.f64 (+.f64 2 alpha) (/.f64 (pow.f64 beta 3) (.f64 alpha alpha))) (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha)))))
(+.f64 (.f64 3 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha)))) (fma.f64 -2 (/.f64 (.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (.f64 (/.f64 alpha beta) (/.f64 alpha beta))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5)))))))
(fma.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha))) (fma.f64 -2 (/.f64 (+.f64 2 alpha) (/.f64 (pow.f64 beta 3) (.f64 alpha alpha))) (+.f64 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) (.f64 -4 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (/.f64 (pow.f64 beta 5) (*.f64 alpha alpha))))))))
(+.f64 (.f64 3 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (.f64 alpha alpha)))) (fma.f64 -2 (/.f64 (.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (/.f64 (pow.f64 beta 5) (.f64 alpha alpha))) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))))

eval1.3s (10.7%)

Compiler: Compiled 47598 to 33521 computations (29.6% saved)

prune309.0ms (2.5%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	1050	9	1059
Fresh	5	6	11
Picked	1	0	1
Done	2	5	7
Total	1058	20	1078

Error

0.0b

Counts

1078 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.9b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha) 1)) 2)
	44.1b	(/.f64 (/.f64 (+.f64 (+.f64 (neg.f64 beta) 2) (*.f64 3 beta)) alpha) 2)
	17.4b	(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)) -1))) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
	31.6b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	16.9b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
▶	44.0b	(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
	19.4b	(/.f64 (/.f64 (.f64 beta (-.f64 1 (.f64 -1 (/.f64 (+.f64 beta 2) beta)))) (+.f64 beta 2)) 2)
✓	17.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
	19.3b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) -1) 2)
	44.6b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2)
▶	47.3b	(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) 2)
▶	32.9b	(/.f64 1 2)
	58.3b	(/.f64 beta alpha)
	47.3b	(/.f64 1 alpha)
	58.3b	(/.f64 (*.f64 beta (/.f64 2 alpha)) 2)
▶	47.2b	(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
▶	17.4b	(/.f64 (/.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)))) 2)
	47.1b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.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)))) 2)
✓	42.2b	(/.f64 2 2)
✓	44.0b	(/.f64 (+.f64 1 beta) alpha)

Compiler

Compiled 659 to 485 computations (26.4% saved)

localize75.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
✓	0.1b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)
✓	1.6b	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
✓	2.5b	(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 213 to 126 computations (40.8% saved)

series51.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
13.0ms	beta	@	inf	(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
6.0ms	beta	@	-inf	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)
5.0ms	alpha	@	-inf	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
3.0ms	alpha	@	inf	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
3.0ms	beta	@	0	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))

rewrite120.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`fma-def_binary64`
367×	`fma-neg_binary64`
284×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`
259×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	341	67
2	4943	67

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

Inputs
(-.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))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 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simplify150.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

721×	`fma-def_binary64`
518×	`associate-+l+_binary64`
309×	`times-frac_binary64`
282×	`associate-r_binary64`
279×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	614	10014
1	2257	9143

Stop Event

1×	node limit

Counts

261 → 336

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
859×	`add-log-exp_binary64`
859×	`log1p-expm1-u_binary64`
859×	`expm1-log1p-u_binary64`
841×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	156	10
2	2371	10

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (/.f64 (-.f64 beta 1) alpha)) (/.f64 (pow.f64 alpha -2) (/.f64 (-.f64 beta 1) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2) (cbrt.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha alpha)) alpha) (/.f64 (sqrt.f64 (fma.f64 beta alpha alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 beta alpha alpha) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (-.f64 (pow.f64 alpha -2) (/.f64 (/.f64 beta alpha) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 1 (/.f64 (-.f64 beta 1) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 alpha alpha) (fma.f64 beta alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (-.f64 (pow.f64 alpha -2) (/.f64 (/.f64 beta alpha) alpha))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 beta 1) alpha) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 beta alpha alpha) (*.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3)) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (-.f64 (pow.f64 alpha -2) (/.f64 (/.f64 beta alpha) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3)) (+.f64 (pow.f64 alpha -2) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (/.f64 (/.f64 beta alpha) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 (-.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 beta alpha alpha)) (neg.f64 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (-.f64 (pow.f64 alpha -2) (/.f64 (/.f64 beta alpha) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (neg.f64 (/.f64 (-.f64 beta 1) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha (*.f64 (/.f64 alpha beta) 1)) (*.f64 (/.f64 alpha beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 alpha -1)) (*.f64 alpha (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 alpha) (*.f64 (/.f64 alpha beta) -1)) (*.f64 (/.f64 alpha beta) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (neg.f64 beta) (neg.f64 alpha)) (*.f64 (neg.f64 alpha) -1)) (*.f64 (neg.f64 alpha) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 alpha) (*.f64 (neg.f64 alpha) beta)) (*.f64 (neg.f64 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 alpha beta) alpha) (*.f64 alpha (/.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (/.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 alpha) (*.f64 alpha (neg.f64 beta))) (*.f64 alpha (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (neg.f64 alpha)) (*.f64 (neg.f64 alpha) (neg.f64 beta))) (*.f64 (neg.f64 alpha) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 alpha -2) (pow.f64 (/.f64 beta alpha) 2)) (-.f64 (/.f64 1 alpha) (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 beta alpha alpha) alpha) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha alpha)) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 alpha) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 alpha -2)) (/.f64 1 (cbrt.f64 alpha)) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 alpha -1/2) (pow.f64 alpha -1/2) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)) (/.f64 1 alpha))))))

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def_binary64`
78×	`fma-neg_binary64`
28×	`div-sub_binary64`
27×	`cancel-sign-sub-inv_binary64`
25×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	96
1	27	96
2	49	96
3	98	96
4	207	96
5	430	96
6	590	96

Stop Event

1×

saturated

Counts

67 → 57

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 2 alpha) beta)

Compiler

Compiled 29 to 20 computations (31% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`pow1_binary64`
723×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
710×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	136	7
2	1859	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 2 alpha) beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 alpha) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 alpha) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 2 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 2 alpha) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 alpha) beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 alpha) beta)) 2) (cbrt.f64 (/.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 2 alpha)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (/.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 alpha)) (*.f64 (sqrt.f64 (+.f64 2 alpha)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 2 alpha)) (/.f64 1 (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (+.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 2 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 2 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 2 alpha) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 2 alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 2 alpha)) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 2 alpha) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 2 alpha)) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 alpha) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 2 alpha) beta) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 2 alpha) beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 2 alpha) beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 2 alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 2 alpha) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 2 alpha) beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 2 alpha) beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 2 alpha) beta)))))))

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-*r/_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	102
1	16	102
2	18	102

Stop Event

1×

saturated

Counts

43 → 35

Calls

Call 1

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

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

localize58.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))
✓	0.4b	(/.f64 4 (*.f64 beta beta))
✓	1.9b	(+.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)))

Compiler

Compiled 67 to 36 computations (46.3% saved)

series6.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite110.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`fma-def_binary64`
499×	`fma-neg_binary64`
272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`
214×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	316	38
2	5032	38

Stop Event

1×	node limit

Counts

3 → 223

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (-.f64 (/.f64 alpha beta) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2) (-.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)))) (/.f64 (pow.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) 2) (-.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) 2) (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)))) 2) (cbrt.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)))) (sqrt.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3) (pow.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) 3)) (/.f64 1 (fma.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) (-.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) (-.f64 2 (/.f64 alpha beta))) (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2) (pow.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) 2)) (/.f64 1 (-.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) (-.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) (-.f64 2 (/.f64 alpha beta))) (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2)) (+.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3) (pow.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta))) (-.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2) (pow.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3) (pow.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) 3)) (fma.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) (-.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) (-.f64 2 (/.f64 alpha beta))) (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3) (pow.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) 3)) (+.f64 (pow.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) 2) (-.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2) (*.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2) (pow.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) 2)) (-.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3) (pow.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) 3))) (neg.f64 (fma.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) (-.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) (-.f64 2 (/.f64 alpha beta))) (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2) (pow.f64 (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)) 2))) (neg.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 4 (pow.f64 beta -2) (/.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)) (pow.f64 beta 3) (*.f64 (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4) (fma.f64 beta (*.f64 beta -2) (*.f64 beta 4)))) (*.f64 (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4) (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (pow.f64 beta 3) (*.f64 (+.f64 2 (/.f64 alpha beta)) (fma.f64 beta (*.f64 beta -2) (*.f64 beta 4)))) (*.f64 (+.f64 2 (/.f64 alpha beta)) (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)) (-.f64 (+.f64 (/.f64 16 (pow.f64 beta 4)) (*.f64 4 (pow.f64 beta -2))) (/.f64 -8 (pow.f64 beta 3))) (*.f64 (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4) (fma.f64 64 (pow.f64 (pow.f64 beta -2) 3) (/.f64 -8 (pow.f64 beta 3))))) (*.f64 (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4) (-.f64 (+.f64 (/.f64 16 (pow.f64 beta 4)) (*.f64 4 (pow.f64 beta -2))) (/.f64 -8 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (-.f64 (+.f64 (/.f64 16 (pow.f64 beta 4)) (*.f64 4 (pow.f64 beta -2))) (/.f64 -8 (pow.f64 beta 3))) (*.f64 (+.f64 2 (/.f64 alpha beta)) (fma.f64 64 (pow.f64 (pow.f64 beta -2) 3) (/.f64 -8 (pow.f64 beta 3))))) (*.f64 (+.f64 2 (/.f64 alpha beta)) (-.f64 (+.f64 (/.f64 16 (pow.f64 beta 4)) (*.f64 4 (pow.f64 beta -2))) (/.f64 -8 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)) (/.f64 (-.f64 (/.f64 4 beta) -2) beta) (*.f64 (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4) (-.f64 (/.f64 16 (pow.f64 beta 4)) (*.f64 4 (pow.f64 beta -2))))) (*.f64 (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4) (/.f64 (-.f64 (/.f64 4 beta) -2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (/.f64 (-.f64 (/.f64 4 beta) -2) beta) (*.f64 (+.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 16 (pow.f64 beta 4)) (*.f64 4 (pow.f64 beta -2))))) (*.f64 (+.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 (/.f64 4 beta) -2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (fma.f64 beta (*.f64 beta -2) (*.f64 beta 4)) (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4) (*.f64 (pow.f64 beta 3) (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)))) (*.f64 (pow.f64 beta 3) (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (fma.f64 64 (pow.f64 (pow.f64 beta -2) 3) (/.f64 -8 (pow.f64 beta 3))) (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4) (*.f64 (-.f64 (+.f64 (/.f64 16 (pow.f64 beta 4)) (*.f64 4 (pow.f64 beta -2))) (/.f64 -8 (pow.f64 beta 3))) (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)))) (*.f64 (-.f64 (+.f64 (/.f64 16 (pow.f64 beta 4)) (*.f64 4 (pow.f64 beta -2))) (/.f64 -8 (pow.f64 beta 3))) (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 (/.f64 16 (pow.f64 beta 4)) (*.f64 4 (pow.f64 beta -2))) (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4) (*.f64 (/.f64 (-.f64 (/.f64 4 beta) -2) beta) (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)))) (*.f64 (/.f64 (-.f64 (/.f64 4 beta) -2) beta) (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (fma.f64 beta (*.f64 beta -2) (*.f64 beta 4)) (+.f64 2 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 beta)) (*.f64 (sqrt.f64 (/.f64 2 beta)) (/.f64 2 beta)) (/.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (/.f64 1 (*.f64 beta (neg.f64 beta))) (/.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 beta) -2 (*.f64 4 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 beta -2) 4 (/.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 beta) (/.f64 1 beta) (/.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 beta) (sqrt.f64 (/.f64 2 beta))) (sqrt.f64 (/.f64 2 beta)) (/.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (/.f64 16 (pow.f64 beta 4)))) (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 beta -2)))) (*.f64 4 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 beta) -2) (/.f64 1 beta) (/.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 beta) (cbrt.f64 (*.f64 4 (pow.f64 beta -2)))) (cbrt.f64 (/.f64 2 beta)) (/.f64 2 beta))))))

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

612×	`fma-def_binary64`
552×	`div-sub_binary64`
397×	`fma-neg_binary64`
374×	`distribute-neg-frac_binary64`
332×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	639
1	110	619
2	226	574
3	482	574
4	1291	574
5	4216	574
6	6030	574

Stop Event

1×	node limit

Counts

271 → 244

Calls

Call 1

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

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

eval1.6s (12.3%)

Compiler: Compiled 34562 to 23916 computations (30.8% saved)

prune186.0ms (1.5%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	665	7	672
Fresh	3	7	10
Picked	1	0	1
Done	2	7	9
Total	671	21	692

Error

0.0b

Counts

692 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	17.4b	(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (-.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)))) 2)
✓	16.9b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha) 1)) 2)
	17.4b	(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)) -1))) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2)
	31.6b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	16.9b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
✓	44.0b	(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
	19.4b	(/.f64 (/.f64 (.f64 beta (-.f64 1 (.f64 -1 (/.f64 (+.f64 beta 2) beta)))) (+.f64 beta 2)) 2)
✓	17.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
	47.3b	(/.f64 (-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 (+.f64 2 alpha) beta)) 2)
	58.0b	(/.f64 (+.f64 (/.f64 alpha beta) alpha) (*.f64 alpha (/.f64 alpha beta)))
	19.3b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) -1) 2)
	44.6b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2)
	58.3b	(/.f64 beta alpha)
	46.8b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	47.3b	(/.f64 1 alpha)
✓	32.9b	(/.f64 1 2)
	45.2b	(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
	58.3b	(/.f64 (*.f64 beta (/.f64 2 alpha)) 2)
	47.1b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.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)))) 2)
✓	42.2b	(/.f64 2 2)
✓	44.0b	(/.f64 (+.f64 1 beta) alpha)

Compiler

Compiled 377 to 272 computations (27.9% saved)

regimes339.0ms (2.7%)

Counts

43 → 2

Calls

Call 1

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

Outputs

(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2)

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

Calls

8 calls:

111.0ms	beta
64.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
41.0ms	alpha
28.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
22.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
1.8b	2	`alpha`
15.6b	3	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 836 to 564 computations (32.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999550944867689	-0.9830085593224367

Compiler

Compiled 20 to 15 computations (25% saved)

regimes176.0ms (1.4%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

8 calls:

51.0ms	beta
39.0ms	alpha
22.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
19.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
11.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
1.9b	2	`alpha`
15.7b	3	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 489 to 329 computations (32.7% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999827215990481

Compiler

Compiled 20 to 15 computations (25% saved)

regimes159.0ms (1.3%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

8 calls:

43.0ms	alpha
42.0ms	beta
17.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
15.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
1.9b	2	`alpha`
15.7b	3	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 328 to 228 computations (30.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999827215990481

Compiler

Compiled 20 to 15 computations (25% saved)

regimes297.0ms (2.4%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

8 calls:

89.0ms	beta
60.0ms	alpha
37.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
34.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
16.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
1.9b	2	`alpha`
16.2b	3	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 309 to 215 computations (30.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999827215990481

Compiler

Compiled 20 to 15 computations (25% saved)

regimes206.0ms (1.6%)

Counts

22 → 4

Calls

Call 1

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

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

Calls

2 calls:

97.0ms	beta
97.0ms	alpha

Results

Error	Segments	Branch
2.3b	4	`alpha`
16.8b	4	`beta`

Compiler

Compiled 169 to 118 computations (30.2% saved)

bsearch126.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
34.0ms	1917497187181874.8	1.1305006688919274e+28
42.0ms	115749.45209133253	308635832852.0433
49.0ms	5.622656214044243e-7	0.0004454113251625125

Compiler

Compiled 20 to 15 computations (25% saved)

regimes44.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	beta
16.0ms	alpha

Results

Error	Segments	Branch
3.4b	2	`alpha`
18.0b	3	`beta`

Compiler

Compiled 82 to 58 computations (29.3% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	1917497187181874.8	1.1305006688919274e+28

Compiler

Compiled 20 to 15 computations (25% saved)

regimes53.0ms (0.4%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	beta
21.0ms	alpha

Results

Error	Segments	Branch
14.1b	3	`alpha`
18.9b	4	`beta`

Compiler

Compiled 64 to 44 computations (31.3% saved)

bsearch40.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1917497187181874.8	1.1305006688919274e+28
20.0ms	2.7435611973324852e-77	5.359188012005538e-77

Compiler

Compiled 20 to 15 computations (25% saved)

regimes45.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	beta
17.0ms	alpha

Results

Error	Segments	Branch
14.1b	3	`alpha`
18.9b	4	`beta`

Compiler

Compiled 50 to 36 computations (28% saved)

bsearch43.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1917497187181874.8	1.1305006688919274e+28
22.0ms	2.7435611973324852e-77	5.359188012005538e-77

Compiler

Compiled 20 to 15 computations (25% saved)

regimes34.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	beta
14.0ms	alpha

Results

Error	Segments	Branch
17.7b	3	`alpha`
19.2b	4	`beta`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1917497187181874.8	1.1305006688919274e+28
23.0ms	2.7435611973324852e-77	5.359188012005538e-77

Compiler

Compiled 20 to 15 computations (25% saved)

regimes31.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	beta
10.0ms	alpha

Results

Error	Segments	Branch
19.2b	2	`alpha`
29.3b	5	`beta`

Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	0.0009646464963126234	5.4475299357343525

Compiler

Compiled 20 to 15 computations (25% saved)

regimes12.0ms (0.1%)

Accuracy

Total -17.4b remaining (-39.1%)

Threshold costs -17.4b (-39.1%)

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 beta alpha)
(/.f64 1 alpha)

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

Calls

2 calls:

6.0ms	beta
3.0ms	alpha

Results

Error	Segments	Branch
47.3b	1	`alpha`
44.5b	2	`beta`

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	21624698785539.45	2352919193691206000.0

Compiler

Compiled 20 to 15 computations (25% saved)

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

33×	`+-commutative_binary64`
24×	`sub-neg_binary64`
16×	`*-commutative_binary64`
15×	`neg-sub0_binary64`
15×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	422
1	114	422
2	143	422
3	181	422
4	218	422
5	240	422
6	248	422
7	251	422
8	252	422

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4458563631096791/4503599627370496) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.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)) -1) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 5310448649980253/9444732965739290427392) (/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) -1) 2) (if (<=.f64 alpha 31071256953887/268435456) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 7669988748727499/4) (/.f64 2 2) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))
(if (<=.f64 alpha 7669988748727499/4) (/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) -1) 2) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(if (<=.f64 alpha 1788394515917309/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 1 2) (if (<=.f64 alpha 7669988748727499/4) (/.f64 2 2) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))
(if (<=.f64 alpha 1788394515917309/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 1 2) (if (<=.f64 alpha 7669988748727499/4) (/.f64 2 2) (/.f64 (+.f64 1 beta) alpha)))
(if (<=.f64 alpha 1788394515917309/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 1 2) (if (<=.f64 alpha 7669988748727499/4) (/.f64 2 2) (/.f64 1 alpha)))
(if (<=.f64 alpha 1112161689942473/1152921504606846976) (/.f64 1 2) (/.f64 1 alpha))
(if (<=.f64 beta 5535922889098099/256) (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4458563631096791/4503599627370496) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4458563631096791/4503599627370496) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (*.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.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)) -1) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.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)) -1) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.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)) -1) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 5310448649980253/9444732965739290427392) (/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) -1) 2) (if (<=.f64 alpha 31071256953887/268435456) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 7669988748727499/4) (/.f64 2 2) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))
(if (<=.f64 alpha 5310448649980253/9444732965739290427392) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 31071256953887/268435456) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 7669988748727499/4) 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))
(if (<=.f64 alpha 5310448649980253/9444732965739290427392) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (<=.f64 alpha 31071256953887/268435456) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha 7669988748727499/4) 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))
(if (<=.f64 alpha 7669988748727499/4) (/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) -1) 2) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(if (<=.f64 alpha 7669988748727499/4) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(if (<=.f64 alpha 7669988748727499/4) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(if (<=.f64 alpha 1788394515917309/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 1 2) (if (<=.f64 alpha 7669988748727499/4) (/.f64 2 2) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))
(if (<=.f64 alpha 1788394515917309/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) 1/2 (if (<=.f64 alpha 7669988748727499/4) 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))
(if (<=.f64 alpha 1788394515917309/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 1 2) (if (<=.f64 alpha 7669988748727499/4) (/.f64 2 2) (/.f64 (+.f64 1 beta) alpha)))
(if (<=.f64 alpha 1788394515917309/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) 1/2 (if (<=.f64 alpha 7669988748727499/4) 1 (/.f64 (+.f64 beta 1) alpha)))
(if (<=.f64 alpha 1788394515917309/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 1 2) (if (<=.f64 alpha 7669988748727499/4) (/.f64 2 2) (/.f64 1 alpha)))
(if (<=.f64 alpha 1788394515917309/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) 1/2 (if (<=.f64 alpha 7669988748727499/4) 1 (/.f64 1 alpha)))
(if (<=.f64 alpha 1112161689942473/1152921504606846976) (/.f64 1 2) (/.f64 1 alpha))
(if (<=.f64 alpha 1112161689942473/1152921504606846976) 1/2 (/.f64 1 alpha))
(if (<=.f64 beta 5535922889098099/256) (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)

Compiler

Compiled 315 to 222 computations (29.5% saved)

soundness79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

774×	`associate-/l*_binary64`
707×	`associate-/r*_binary64`
487×	`cancel-sign-sub-inv_binary64`
339×	`associate-*l/_binary64`
244×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	3084
1	802	2924
2	2899	2697

Stop Event

1×	node limit

Compiler

Compiled 534 to 406 computations (24% saved)

end134.0ms (1.1%)

Compiler: Compiled 293 to 187 computations (36.2% saved)

Iter	Nodes	Cost
0	14	249
1	26	249
2	41	249
3	45	249
4	54	228
5	73	186
6	98	186
7	153	186
8	188	186
9	190	186

Iter	Nodes	Cost
0	83	422
1	114	422
2	143	422
3	181	422
4	218	422
5	240	422
6	248	422
7	251	422
8	252	422

Iter	Nodes	Cost
0	14	249
1	26	249
2	41	249
3	45	249
4	54	228
5	73	186
6	98	186
7	153	186
8	188	186
9	190	186

Iter	Nodes	Cost
0	83	422
1	114	422
2	143	422
3	181	422
4	218	422
5	240	422
6	248	422
7	251	422
8	252	422

Iter	Nodes	Cost
0	14	249
1	26	249
2	41	249
3	45	249
4	54	228
5	73	186
6	98	186
7	153	186
8	188	186
9	190	186

Iter	Nodes	Cost
0	83	422
1	114	422
2	143	422
3	181	422
4	218	422
5	240	422
6	248	422
7	251	422
8	252	422