Details

analyze88.0ms (0.9%)

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)

sample1.6s (16%)

Results

920.0ms	6462×	body	256	valid
418.0ms	1076×	body	1024	valid
165.0ms	621×	body	512	valid
48.0ms	97×	body	2048	valid

preprocess80.0ms (0.8%)

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)

simplify70.0ms (0.7%)

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

16.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
✓	1.8b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series13.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite123.0ms (1.2%)

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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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)))))))))

simplify68.0ms (0.7%)

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)))))

eval101.0ms (1%)

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

prune43.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	202	12	214
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	202	13	215

Error

0.1b

Counts

215 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	46.5b	(/.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)
▶	16.5b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	61.7b	(/.f64 (+.f64 -1 1) 2)
	46.1b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
	48.9b	(/.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)
	48.9b	(/.f64 (+.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)))))) 2)
▶	39.1b	(/.f64 2 2)
▶	45.2b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
	35.3b	(/.f64 (-.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))) 2)
▶	16.6b	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
✓	16.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
	32.9b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	18.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)

Compiler

Compiled 617 to 471 computations (23.7% saved)

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 63 to 39 computations (38.1% saved)

series50.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
43.0ms	beta	@	inf	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
1.0ms	beta	@	inf	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.0ms	alpha	@	0	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.0ms	beta	@	0	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.0ms	beta	@	0	(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`log-prod_binary64`
547×	`fma-def_binary64`
339×	`pow2_binary64`
327×	`fma-neg_binary64`
231×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	261	39
2	3839	39

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs
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Outputs

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

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

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

951×	`times-frac_binary64`
674×	`associate-/l*_binary64`
400×	`cancel-sign-sub-inv_binary64`
337×	`distribute-rgt-in_binary64`
301×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	2700
1	873	2555
2	3227	2312

Stop Event

1×	node limit

Counts

209 → 247

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize57.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`pow1_binary64`
633×	`add-log-exp_binary64`
632×	`log1p-expm1-u_binary64`
632×	`expm1-log1p-u_binary64`
622×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	117	7
2	1628	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))))))

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

805×	`unswap-sqr_binary64`
735×	`distribute-neg-frac_binary64`
530×	`associate-/r*_binary64`
357×	`fma-def_binary64`
334×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	156
1	91	156
2	227	153
3	651	145
4	2162	145
5	6011	145

Stop Event

1×	node limit

Counts

45 → 47

Calls

Call 1

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

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

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)

series131.0ms (1.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
127.0ms	beta	@	-inf	(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)
2.0ms	alpha	@	0	(/.f64 (+.f64 (+.f64 beta beta) 2) alpha)
1.0ms	beta	@	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)

rewrite94.0ms (1%)

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)))))))

simplify18.0ms (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)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	16.7b	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)

Compiler

Compiled 50 to 31 computations (38% saved)

series16.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	alpha	@	-inf	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
1.0ms	alpha	@	inf	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
1.0ms	beta	@	0	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
1.0ms	alpha	@	0	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
1.0ms	beta	@	inf	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`prod-diff_binary64`
498×	`log-prod_binary64`
428×	`fma-def_binary64`
234×	`fma-neg_binary64`
207×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	230	16
2	3281	16

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

870×	`fma-def_binary64`
547×	`times-frac_binary64`
446×	`+-commutative_binary64`
377×	`associate-/l*_binary64`
314×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1170
1	513	1099
2	1921	1012

Stop Event

1×	node limit

Counts

50 → 70

Calls

Call 1

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

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

eval264.0ms (2.7%)

Compiler: Compiled 11275 to 8017 computations (28.9% saved)

prune107.0ms (1.1%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	448	11	459
Fresh	6	1	7
Picked	1	0	1
Done	0	5	5
Total	455	17	472

Error

0.1b

Counts

472 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.5b	(/.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta) (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha))) 1) 2)
✓	16.5b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
▶	42.2b	(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
	46.1b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
	57.7b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
▶	34.9b	(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha) 1) 2)
▶	48.9b	(/.f64 (/.f64 2 alpha) 2)
	48.9b	(/.f64 (+.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)))))) 2)
	35.3b	(/.f64 (-.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))) 2)
✓	18.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	46.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))) 2)
	48.9b	(/.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 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)) beta) (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 3) (-.f64 beta (-.f64 -2 beta))) (pow.f64 alpha 4))))) 2)
✓	39.1b	(/.f64 2 2)
✓	45.2b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
▶	36.3b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	16.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
	32.9b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)

Compiler

Compiled 683 to 522 computations (23.6% saved)

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta)
✓	2.5b	(+.f64 (+.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta) (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha))) 1)

Compiler

Compiled 108 to 72 computations (33.3% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`log-prod_binary64`
536×	`fma-neg_binary64`
248×	`log1p-udef_binary64`
247×	`expm1-udef_binary64`
212×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	311	36
2	4862	36

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

989×	`times-frac_binary64`
636×	`associate-/l*_binary64`
507×	`associate-/r*_binary64`
333×	`cancel-sign-sub-inv_binary64`
307×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	2504
1	748	2379
2	2762	2209

Stop Event

1×	node limit

Counts

173 → 207

Calls

Call 1

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

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

localize7.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize9.0ms (0.1%)

Compiler: Compiled 21 to 17 computations (19% saved)

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 beta) (-.f64 beta alpha))

Compiler

Compiled 39 to 22 computations (43.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`pow1_binary64`
765×	`add-log-exp_binary64`
765×	`log1p-expm1-u_binary64`
765×	`expm1-log1p-u_binary64`
749×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	150	7
2	2064	7

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`fma-def_binary64`
12×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`associate-+l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	165
1	16	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Stop Event

1×

saturated

Counts

63 → 45

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 alpha 2))
✓	16.7b	(fma.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha) 1)

Compiler

Compiled 39 to 25 computations (35.9% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite87.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`unpow-prod-down_binary64`
431×	`prod-diff_binary64`
421×	`log-prod_binary64`
275×	`pow-prod-down_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	200	20
2	2661	20

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) -2) (/.f64 1 (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 alpha 2) -1/2) (pow.f64 (+.f64 alpha 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 -1 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (/.f64 1 (fma.f64 -1 alpha -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (-.f64 (fma.f64 alpha alpha 4) (*.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (pow.f64 (/.f64 1 (-.f64 (fma.f64 alpha alpha 4) (*.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (+.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (pow.f64 (/.f64 1 (+.f64 alpha -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) 1) (-.f64 (fma.f64 alpha alpha 4) (*.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (fma.f64 alpha alpha -4)) 1) (+.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 alpha 2) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 alpha 2) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 alpha 2) -2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 alpha 2) -2) (pow.f64 (+.f64 alpha 2) -1/2)) 1/3) (cbrt.f64 (pow.f64 (+.f64 alpha 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2)))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 alpha 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha 2) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha 2) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha 2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 alpha 2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 alpha 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 -1 alpha -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 alpha 2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 alpha 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha 2))) 1))))))

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

508×	`fma-neg_binary64`
494×	`associate-/r*_binary64`
467×	`associate-+l+_binary64`
452×	`fma-def_binary64`
368×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	776
1	334	759
2	1029	745
3	4032	709

Stop Event

1×	node limit

Counts

112 → 116

Calls

Call 1

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

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

eval352.0ms (3.6%)

Compiler: Compiled 13056 to 9317 computations (28.6% saved)

prune91.0ms (0.9%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	479	5	484
Fresh	2	5	7
Picked	0	1	1
Done	2	7	9
Total	483	18	501

Error

0.1b

Counts

501 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.1b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
▶	57.7b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
▶	16.5b	(/.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta) (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2))) 1) 2)
✓	34.9b	(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha) 1) 2)
	32.9b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	16.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
▶	35.3b	(/.f64 (-.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))) 2)
✓	18.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	42.2b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
	46.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))) 2)
	48.9b	(/.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 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)) beta) (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 3) (-.f64 beta (-.f64 -2 beta))) (pow.f64 alpha 4))))) 2)
✓	16.5b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	48.6b	(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
✓	39.1b	(/.f64 2 2)
✓	45.2b	(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)
✓	36.3b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	48.9b	(/.f64 (/.f64 2 alpha) 2)
	49.3b	(/.f64 (-.f64 (+.f64 (.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 2) alpha)) (+.f64 (.f64 -8 (/.f64 beta (pow.f64 alpha 4))) (.f64 -1 (/.f64 (-.f64 (.f64 -4 beta) 8) (pow.f64 alpha 3)))))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) 2)

Compiler

Compiled 627 to 479 computations (23.6% saved)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	0.0b	(/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2))
	0.1b	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta)
✓	1.8b	(+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta) (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2))) 1)

Compiler

Compiled 112 to 64 computations (42.9% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite103.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`fma-neg_binary64`
326×	`log1p-udef_binary64`
325×	`expm1-udef_binary64`
205×	`add-sqr-sqrt_binary64`
198×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	391	35
2	6170	35

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 2) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) 1))) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 2) 1) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 2) 1) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)))) (+.f64 1 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) 1)) (+.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 3)) (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 2) 1) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 2) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 (+.f64 beta 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 -1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 -1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 -1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 beta (+.f64 alpha 2))) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 (+.f64 beta alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 (+.f64 beta alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) -2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 (+.f64 beta alpha) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) -2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) -2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 (+.f64 beta alpha) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta alpha) -2))) (/.f64 alpha (sqrt.f64 (+.f64 (+.f64 beta alpha) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 (+.f64 beta alpha) -2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 (+.f64 beta alpha) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) -2) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) -2)))) -1)))))

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

857×	`times-frac_binary64`
576×	`associate-/l*_binary64`
416×	`associate-/r*_binary64`
382×	`cancel-sign-sub-inv_binary64`
265×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	1876
1	651	1777
2	2490	1636

Stop Event

1×	node limit

Counts

124 → 151

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
693×	`add-log-exp_binary64`
693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
681×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	157	11
2	2112	11

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96

Stop Event

1×

saturated

Counts

83 → 60

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 12 computations (60% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`pow1_binary64`
738×	`add-log-exp_binary64`
738×	`log1p-expm1-u_binary64`
738×	`expm1-log1p-u_binary64`
721×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	119	7
2	1913	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`fma-def_binary64`
12×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`associate-+l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	165
1	16	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Stop Event

1×

saturated

Counts

57 → 38

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 (*.f64 beta -2) -2) alpha)
✓	0.0b	(-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))
✓	0.2b	(.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))
✓	0.2b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)

Compiler

Compiled 69 to 50 computations (27.5% saved)

series17.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite104.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`prod-diff_binary64`
337×	`log-div_binary64`
297×	`expm1-udef_binary64`
297×	`log1p-udef_binary64`
288×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	333	61
2	4862	61

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

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

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg_binary64`
724×	`times-frac_binary64`
437×	`distribute-rgt-in_binary64`
405×	`cancel-sign-sub-inv_binary64`
351×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	1994
1	259	1934
2	867	1769
3	3371	1619

Stop Event

1×	node limit

Counts

251 → 208

Calls

Call 1

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

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

localize70.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
✓	0.0b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
✓	3.0b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
✓	4.7b	(-.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)))

Compiler

Compiled 161 to 94 computations (41.6% saved)

series97.0ms (1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
24.0ms	beta	@	inf	(-.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)))
12.0ms	beta	@	-inf	(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
9.0ms	beta	@	0	(-.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)))
9.0ms	alpha	@	0	(-.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)))
8.0ms	beta	@	-inf	(-.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)))

rewrite125.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`fma-neg_binary64`
322×	`log1p-udef_binary64`
321×	`expm1-udef_binary64`
254×	`log-pow_binary64`
190×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	103
1	365	82
2	5780	82

Stop Event

1×	node limit

Counts

4 → 270

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)) (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)) (.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 1) (fma.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)) 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 1) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) -2)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 1) (+.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)) 3) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) -3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 4) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) -2)) (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) -2) (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 4) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) -2)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) -2)) (/.f64 1 (.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) -1/2)) (-.f64 (/.f64 (/.f64 (-.f64 beta 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simplify463.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

761×	`times-frac_binary64`
403×	`*-commutative_binary64`
398×	`+-commutative_binary64`
295×	`fma-def_binary64`
284×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1187	26314
1	4924	25230

Stop Event

1×	node limit

Counts

366 → 449

Calls

Call 1

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

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

eval2.5s (25.7%)

Compiler: Compiled 72910 to 52667 computations (27.8% saved)

prune256.0ms (2.6%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1134	7	1141
Fresh	2	3	5
Picked	1	0	1
Done	5	7	12
Total	1142	17	1159

Error

0.0b

Counts

1159 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.1b	(/.f64 2 2)
	35.5b	(/.f64 (log.f64 (*.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))) (exp.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))))) 2)
	57.7b	(/.f64 beta alpha)
	32.9b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	35.3b	(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2)
✓	18.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	42.2b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
	46.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))) 2)
	49.9b	(/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha)
	48.9b	(/.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 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)) beta) (/.f64 (.f64 (pow.f64 (+.f64 2 beta) 3) (-.f64 beta (-.f64 -2 beta))) (pow.f64 alpha 4))))) 2)
✓	16.5b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	61.7b	(-.f64 (+.f64 1 (/.f64 beta alpha)) 1)
✓	16.5b	(/.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta) (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2))) 1) 2)
✓	36.3b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	49.3b	(/.f64 (-.f64 (+.f64 (.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 2) alpha)) (+.f64 (.f64 -8 (/.f64 beta (pow.f64 alpha 4))) (.f64 -1 (/.f64 (-.f64 (.f64 -4 beta) 8) (pow.f64 alpha 3)))))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) 2)
✓	16.5b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
	45.2b	(/.f64 (+.f64 1 beta) alpha)

Compiler

Compiled 371 to 276 computations (25.6% saved)

regimes206.0ms (2.1%)

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

61.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
48.0ms	alpha
22.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
19.0ms	beta
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
3.5b	2	`alpha`
16.5b	1	`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 869 to 618 computations (28.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999996	-0.9999752313801401

Compiler

Compiled 20 to 15 computations (25% saved)

regimes101.0ms (1%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

8 calls:

28.0ms	alpha
15.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
14.0ms	beta
13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
3.5b	2	`alpha`
16.5b	1	`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 261 to 185 computations (29.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999996	-0.9999752313801401

Compiler

Compiled 20 to 15 computations (25% saved)

regimes163.0ms (1.7%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

8 calls:

42.0ms	alpha
24.0ms	beta
21.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
18.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
13.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
3.5b	2	`alpha`
16.5b	1	`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 244 to 172 computations (29.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999996	-0.9999752313801401

Compiler

Compiled 20 to 15 computations (25% saved)

regimes105.0ms (1.1%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

8 calls:

27.0ms	alpha
24.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
12.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms	beta
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
3.5b	2	`alpha`
16.5b	1	`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 229 to 162 computations (29.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999996	-0.9999752313801401

Compiler

Compiled 20 to 15 computations (25% saved)

regimes43.0ms (0.4%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	alpha
19.0ms	beta

Results

Error	Segments	Branch
4.8b	2	`alpha`
16.9b	2	`beta`

Compiler

Compiled 138 to 100 computations (27.5% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	2.0983185462902647e+54	1.1273043886035731e+58

Compiler

Compiled 20 to 15 computations (25% saved)

regimes104.0ms (1.1%)

Counts

16 → 4

Calls

Call 1

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

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

Calls

2 calls:

65.0ms	alpha
34.0ms	beta

Results

Error	Segments	Branch
15.1b	4	`alpha`
16.9b	2	`beta`

Compiler

Compiled 118 to 86 computations (27.1% saved)

bsearch89.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
23.0ms	344858481473.7345	4093624089739929.5
27.0ms	-3.126545703506755e-290	-4.142258846621367e-303
38.0ms	-1.7170056963764763e-180	-5.639722630105267e-184

Compiler

Compiled 20 to 15 computations (25% saved)

regimes58.0ms (0.6%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	beta
23.0ms	alpha

Results

Error	Segments	Branch
17.6b	4	`alpha`
17.2b	4	`beta`

Compiler

Compiled 64 to 46 computations (28.1% saved)

bsearch94.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
30.0ms	3.0605139343487166e-15	1817374969442.2158
34.0ms	6.135260272248072e-173	3.8495959158516766e-169
30.0ms	1.6282177846163247e-216	5.9328876310871904e-214

Compiler

Compiled 20 to 15 computations (25% saved)

regimes27.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	beta
11.0ms	alpha

Results

Error	Segments	Branch
25.8b	2	`alpha`
30.3b	2	`beta`

Compiler

Compiled 57 to 40 computations (29.8% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	2.0983185462902647e+54	1.1273043886035731e+58

Compiler

Compiled 20 to 15 computations (25% saved)

regimes16.0ms (0.2%)

Accuracy

Total -25.4b remaining (-70.1%)

Threshold costs -25.4b (-70.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	alpha
7.0ms	beta

Results

Error	Segments	Branch
36.3b	2	`alpha`
39.1b	1	`beta`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch50.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
49.0ms	1.6283292982290978e+163	4.9547265112021534e+171

Compiler

Compiled 20 to 15 computations (25% saved)

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

67×	`cancel-sign-sub-inv_binary64`
58×	`distribute-rgt-neg-in_binary64`
40×	`neg-sub0_binary64`
40×	`neg-mul-1_binary64`
39×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	388
1	118	386
2	138	386
3	154	386
4	170	386
5	207	386
6	261	386
7	319	386
8	378	386
9	418	386
10	441	386
11	459	386
12	475	386
13	499	386
14	532	386
15	562	386
16	578	386
17	593	386
18	598	386

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18446375138828077056/18446744073709551616) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta) (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18446375138828077056/18446744073709551616) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18446375138828077056/18446744073709551616) (/.f64 (+.f64 1 beta) alpha) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18446375138828077056/18446744073709551616) (/.f64 (+.f64 1 beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 2098318546290264748313249025158707489609078800501440512) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha -8021746206552799/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha -5620569747027362816/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (/.f64 2 2) (if (<=.f64 alpha 2825080680232833/8192) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (+.f64 1 beta) alpha))))
(if (<=.f64 beta 2527837568822623/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 8542407429744999/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) (/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha) (if (<=.f64 beta 7759324651768021/2535301200456458802993406410752) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 alpha 2098318546290264748313249025158707489609078800501440512) (/.f64 2 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 16283292982290977888799737551737057701476839022493086405025264679023327902332182050566258912239812657571456813817978062869789195533001586559030695612959429914263552) (/.f64 2 2) (/.f64 beta alpha))
(/.f64 beta alpha)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18446375138828077056/18446744073709551616) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta) (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007019110755897/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 1 (+.f64 (*.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007019110755897/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 1 (+.f64 (*.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007019110755897/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 1 (+.f64 (*.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007019110755897/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 1 (-.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) (*.f64 beta (/.f64 -1 (+.f64 beta (+.f64 alpha 2)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18446375138828077056/18446744073709551616) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007019110755897/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007019110755897/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007019110755897/9007199254740992) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 alpha beta) (/.f64 -1 (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18446375138828077056/18446744073709551616) (/.f64 (+.f64 1 beta) alpha) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007019110755897/9007199254740992) (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007019110755897/9007199254740992) (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 1 (*.f64 (-.f64 alpha beta) (/.f64 -1 (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18446375138828077056/18446744073709551616) (/.f64 (+.f64 1 beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007019110755897/9007199254740992) (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2))
(if (<=.f64 alpha 2098318546290264748313249025158707489609078800501440512) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 2098318546290264748313249025158707489609078800501440512) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 alpha -8021746206552799/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha -5620569747027362816/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (/.f64 2 2) (if (<=.f64 alpha 2825080680232833/8192) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (+.f64 1 beta) alpha))))
(if (<=.f64 alpha -8021746206552799/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 alpha -5488837643581409/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384) 1 (if (<=.f64 alpha 2825080680232833/8192) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (+.f64 beta 1) alpha))))
(if (<=.f64 beta 2527837568822623/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta 8542407429744999/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) (/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha) (if (<=.f64 beta 7759324651768021/2535301200456458802993406410752) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta 2527837568822623/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta 8542407429744999/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) (/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha) (if (<=.f64 beta 7759324651768021/2535301200456458802993406410752) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) 1)))
(if (<=.f64 alpha 2098318546290264748313249025158707489609078800501440512) (/.f64 2 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 2098318546290264748313249025158707489609078800501440512) 1 (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 alpha 16283292982290977888799737551737057701476839022493086405025264679023327902332182050566258912239812657571456813817978062869789195533001586559030695612959429914263552) (/.f64 2 2) (/.f64 beta alpha))
(if (<=.f64 alpha 16283292982290977888799737551737057701476839022493086405025264679023327902332182050566258912239812657571456813817978062869789195533001586559030695612959429914263552) 1 (/.f64 beta alpha))
(/.f64 beta alpha)

Compiler

Compiled 285 to 207 computations (27.4% saved)

soundness93.0ms (0.9%)

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

Compiler

Compiled 943 to 719 computations (23.8% saved)

end137.0ms (1.4%)

Compiler: Compiled 267 to 181 computations (32.2% 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	9	165
1	16	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Iter	Nodes	Cost
0	9	165
1	16	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Iter	Nodes	Cost
0	85	388
1	118	386
2	138	386
3	154	386
4	170	386
5	207	386
6	261	386
7	319	386
8	378	386
9	418	386
10	441	386
11	459	386
12	475	386
13	499	386
14	532	386
15	562	386
16	578	386
17	593	386
18	598	386

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	9	165
1	16	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Iter	Nodes	Cost
0	9	165
1	16	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Iter	Nodes	Cost
0	85	388
1	118	386
2	138	386
3	154	386
4	170	386
5	207	386
6	261	386
7	319	386
8	378	386
9	418	386
10	441	386
11	459	386
12	475	386
13	499	386
14	532	386
15	562	386
16	578	386
17	593	386
18	598	386

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	9	165
1	16	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Iter	Nodes	Cost
0	9	165
1	16	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Iter	Nodes	Cost
0	85	388
1	118	386
2	138	386
3	154	386
4	170	386
5	207	386
6	261	386
7	319	386
8	378	386
9	418	386
10	441	386
11	459	386
12	475	386
13	499	386
14	532	386
15	562	386
16	578	386
17	593	386
18	598	386