Details

analyze62.0ms (0.8%)

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)

sample1.5s (20%)

Results

889.0ms	6480×	body	256	valid
429.0ms	1066×	body	1024	valid
157.0ms	606×	body	512	valid
42.0ms	104×	body	2048	valid

preprocess91.0ms (1.2%)

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)

simplify152.0ms (2%)

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

13.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.2b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 50 to 23 computations (54% saved)

series14.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite232.0ms (3%)

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	36
1	243	36
2	3788	36

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

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

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

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	2203
1	759	2087
2	2810	1907

Stop Event

1×	node limit

Counts

267 → 283

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

eval256.0ms (3.4%)

Compiler: Compiled 7267 to 4948 computations (31.9% saved)

prune49.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	273	10	283
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	274	10	284

Error

0.0b

Counts

284 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	49.6b	(/.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (.f64 alpha alpha)) (-.f64 -2 beta)))) 2)
▶	13.2b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
▶	13.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	38.8b	(/.f64 2 2)
▶	49.7b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
▶	48.7b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	44.0b	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2) 2)
	61.7b	(/.f64 (+.f64 -1 1) 2)
	13.3b	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
	29.7b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)

Compiler

Compiled 276 to 220 computations (20.3% saved)

localize22.0ms (0.3%)

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))
✓	2.6b	(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)

Compiler

Compiled 63 to 39 computations (38.1% saved)

series27.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
19.0ms	beta	@	0	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
1.0ms	beta	@	inf	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
1.0ms	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)
0.0ms	alpha	@	0	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))

rewrite81.0ms (1.1%)

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

simplify82.0ms (1.1%)

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))))
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(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))))))
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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)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 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))
0.0ms	beta	@	inf	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
0.0ms	beta	@	-inf	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)

rewrite77.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`pow1_binary64`
828×	`add-log-exp_binary64`
828×	`log1p-expm1-u_binary64`
828×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	160	17
2	2201	17

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

805×	`unswap-sqr_binary64`
532×	`associate-/r*_binary64`
515×	`fma-def_binary64`
334×	`times-frac_binary64`
268×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	297
1	113	295
2	292	289
3	843	274
4	2589	274
5	6716	274

Stop Event

1×	node limit

Counts

90 → 93

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

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`pow1_binary64`
812×	`add-log-exp_binary64`
811×	`log1p-expm1-u_binary64`
811×	`expm1-log1p-u_binary64`
797×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	156	8
2	2116	8

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	117
1	22	117
2	33	117
3	36	117
4	41	108
5	62	90
6	84	90
7	135	90
8	181	90
9	189	90

Stop Event

1×

saturated

Counts

43 → 36

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)))

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

localize29.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 69 to 50 computations (27.5% saved)

series18.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	alpha	@	-inf	(/.f64 (+.f64 (*.f64 beta -2) -2) alpha)
2.0ms	alpha	@	inf	(/.f64 (+.f64 (*.f64 beta -2) -2) alpha)
1.0ms	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 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))
1.0ms	alpha	@	inf	(.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))

rewrite126.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`log-prod_binary64`
482×	`prod-diff_binary64`
282×	`fma-def_binary64`
269×	`log-div_binary64`
260×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	284	35
2	4236	35

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

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

Outputs

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

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

507×	`associate-r_binary64`
385×	`times-frac_binary64`
364×	`associate-/l*_binary64`
344×	`associate-*l/_binary64`
333×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	1218
1	185	1168
2	573	1037
3	1871	880
4	7420	880

Stop Event

1×	node limit

Counts

243 → 201

Calls

Call 1

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

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

eval731.0ms (9.6%)

Compiler: Compiled 14358 to 10091 computations (29.7% saved)

prune268.0ms (3.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	568	9	577
Fresh	5	0	5
Picked	0	1	1
Done	2	2	4
Total	575	12	587

Error

0.0b

Counts

587 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	29.7b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	13.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	38.8b	(/.f64 2 2)
	32.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	49.7b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
▶	43.8b	(/.f64 (+.f64 2 (/.f64 -2 beta)) 2)
▶	50.6b	(/.f64 (/.f64 2 alpha) 2)
▶	48.7b	(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 1 beta)) 2)
▶	13.9b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
	59.4b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
	60.2b	(/.f64 (.f64 (.f64 beta (/.f64 -2 alpha)) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
▶	13.3b	(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)

Compiler

Compiled 239 to 195 computations (18.4% saved)

localize38.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	13.4b	(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)

Compiler

Compiled 50 to 31 computations (38% saved)

series11.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite75.0ms (1%)

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))))))

simplify59.0ms (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)))))

localize9.0ms (0.1%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`pow1_binary64`
642×	`add-log-exp_binary64`
641×	`log1p-expm1-u_binary64`
641×	`expm1-log1p-u_binary64`
632×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	137	7
2	1705	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`fma-def_binary64`
15×	`sub-neg_binary64`
8×	`+-commutative_binary64`
8×	`fma-neg_binary64`
7×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	69
1	19	69
2	30	69
3	48	69
4	66	69
5	91	69
6	121	69
7	149	69
8	167	69
9	170	69

Stop Event

1×

saturated

Counts

43 → 35

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	-inf	(*.f64 (/.f64 2 alpha) (+.f64 1 beta))
1.0ms	alpha	@	0	(*.f64 (/.f64 2 alpha) (+.f64 1 beta))
1.0ms	alpha	@	inf	(*.f64 (/.f64 2 alpha) (+.f64 1 beta))
1.0ms	beta	@	0	(*.f64 (/.f64 2 alpha) (+.f64 1 beta))
0.0ms	alpha	@	-inf	(*.f64 (/.f64 2 alpha) (+.f64 1 beta))

rewrite73.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`pow1_binary64`
852×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2354	10

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

45×	`fma-def_binary64`
16×	`associate-/l*_binary64`
14×	`*-commutative_binary64`
14×	`distribute-rgt-in_binary64`
13×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	228
1	29	228
2	48	186
3	55	186
4	72	186
5	121	186
6	158	186
7	192	186
8	197	186
9	207	186

Stop Event

1×

saturated

Counts

73 → 55

Calls

Call 1

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

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

localize31.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 31 computations (22.5% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite113.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

919×	`pow1_binary64`
859×	`add-log-exp_binary64`
859×	`log1p-expm1-u_binary64`
859×	`expm1-log1p-u_binary64`
844×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	182	24
2	2385	24

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

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

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

751×	`fma-def_binary64`
542×	`fma-neg_binary64`
506×	`associate-/l/_binary64`
388×	`associate-*l/_binary64`
368×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	478
1	170	474
2	448	457
3	1249	440
4	3722	440

Stop Event

1×	node limit

Counts

111 → 116

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

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

eval145.0ms (1.9%)

Compiler: Compiled 6467 to 4846 computations (25.1% saved)

prune59.0ms (0.8%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	331	3	334
Fresh	2	2	4
Picked	0	1	1
Done	1	6	7
Total	334	12	346

Error

0.0b

Counts

346 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.7b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	13.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	38.8b	(/.f64 2 2)
▶	31.7b	(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha) 1) 2)
▶	32.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	43.8b	(/.f64 (+.f64 2 (/.f64 -2 beta)) 2)
✓	50.6b	(/.f64 (/.f64 2 alpha) 2)
✓	48.7b	(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 1 beta)) 2)
✓	49.7b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
✓	13.9b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
▶	59.4b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
▶	48.7b	(/.f64 (/.f64 2 (/.f64 alpha (+.f64 1 beta))) 2)

Compiler

Compiled 183 to 151 computations (17.5% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 alpha (+.f64 alpha 2))
✓	1.0b	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`pow1_binary64`
849×	`add-log-exp_binary64`
848×	`log1p-expm1-u_binary64`
848×	`expm1-log1p-u_binary64`
835×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	160	17
2	2193	17

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

690×	`times-frac_binary64`
658×	`fma-def_binary64`
385×	`associate-*r/_binary64`
371×	`fma-neg_binary64`
352×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	339
1	147	337
2	399	330
3	1149	316
4	3623	316

Stop Event

1×	node limit

Counts

84 → 88

Calls

Call 1

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

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

localize12.0ms (0.2%)

Compiler: Compiled 20 to 10 computations (50% saved)

localize16.0ms (0.2%)

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

localize25.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite89.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
871×	`add-log-exp_binary64`
870×	`log1p-expm1-u_binary64`
870×	`expm1-log1p-u_binary64`
855×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	177	17
2	2378	17

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

634×	`fma-def_binary64`
462×	`associate-/l*_binary64`
398×	`associate-/l/_binary64`
285×	`associate-*l/_binary64`
265×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	511
1	115	495
2	292	446
3	898	435
4	3682	421

Stop Event

1×	node limit

Counts

111 → 83

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 alpha 2))
✓	13.4b	(fma.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha) 1)

Compiler

Compiled 39 to 25 computations (35.9% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite69.0ms (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))))))

simplify56.0ms (0.7%)

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)))))

eval117.0ms (1.5%)

Compiler: Compiled 4710 to 3537 computations (24.9% saved)

prune52.0ms (0.7%)

Pruning

17 alts after pruning (6 fresh and 11 done)

	Pruned	Kept	Total
New	281	6	287
Fresh	0	0	0
Picked	0	1	1
Done	1	10	11
Total	282	17	299

Error

0.0b

Counts

299 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.7b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	13.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	38.8b	(/.f64 2 2)
	59.4b	(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
✓	13.9b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
✓	31.7b	(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha) 1) 2)
✓	32.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	43.8b	(/.f64 (+.f64 2 (/.f64 -2 beta)) 2)
✓	50.6b	(/.f64 (/.f64 2 alpha) 2)
	50.7b	(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
✓	48.7b	(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 1 beta)) 2)
	60.5b	(/.f64 (/.f64 beta (+.f64 alpha 2)) 2)
✓	49.7b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2)
	30.1b	(/.f64 1 2)
	30.9b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	59.4b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
	29.7b	(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)

Compiler

Compiled 187 to 152 computations (18.7% saved)

regimes292.0ms (3.8%)

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

123.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
75.0ms	beta
28.0ms	alpha
19.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
17.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Results

Error	Segments	Branch
2.2b	2	`alpha`
13.2b	1	`beta`
0.0b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.0b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.0b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.0b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.0b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0.0b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 386 to 283 computations (26.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999681	-0.9991773502120515

Compiler

Compiled 20 to 15 computations (25% saved)

regimes118.0ms (1.5%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

8 calls:

27.0ms	alpha
19.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
18.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
14.0ms	beta
12.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
2.2b	2	`alpha`
13.2b	1	`beta`
0.0b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.0b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.0b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.0b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.0b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0.0b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 362 to 268 computations (26% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999681	-0.9991773502120515

Compiler

Compiled 20 to 15 computations (25% saved)

regimes192.0ms (2.5%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

8 calls:

54.0ms	alpha
17.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
17.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
13.0ms	beta
9.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
2.2b	2	`alpha`
13.2b	1	`beta`
0.0b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.0b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.0b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.0b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.0b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
0.0b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 334 to 250 computations (25.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999681	-0.9991773502120515

Compiler

Compiled 20 to 15 computations (25% saved)

regimes104.0ms (1.4%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

8 calls:

23.0ms	alpha
16.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
16.0ms	beta
15.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
2.2b	2	`alpha`
13.2b	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 279 to 211 computations (24.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999681	-0.9991773502120515

Compiler

Compiled 20 to 15 computations (25% saved)

regimes74.0ms (1%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

2 calls:

57.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
2.7b	2	`alpha`
13.9b	1	`beta`

Compiler

Compiled 158 to 127 computations (19.6% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	191365.92128133672	62849832327311.1

Compiler

Compiled 20 to 15 computations (25% saved)

regimes86.0ms (1.1%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

44.0ms	beta
38.0ms	alpha

Results

Error	Segments	Branch
14.5b	5	`alpha`
14.0b	2	`beta`

Compiler

Compiled 107 to 86 computations (19.6% saved)

bsearch30.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	1.311188220593473e-6	3.486791480101227

Compiler

Compiled 20 to 15 computations (25% saved)

regimes117.0ms (1.5%)

Counts

13 → 6

Calls

Call 1

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

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

Calls

2 calls:

96.0ms	alpha
14.0ms	beta

Results

Error	Segments	Branch
13.7b	6	`alpha`
14.5b	2	`beta`

Compiler

Compiled 89 to 72 computations (19.1% saved)

bsearch144.0ms (1.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
23.0ms	191365.92128133672	62849832327311.1
51.0ms	2.9371035026511213e-22	3.783817648053314e-21
25.0ms	4.366143538667495e-242	7.380228055308332e-242
23.0ms	6.441500767871081e-265	6.408242134465609e-258
21.0ms	-8.2170100677784e-73	-2.0496034892630724e-80

Compiler

Compiled 20 to 15 computations (25% saved)

regimes86.0ms (1.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

68.0ms	alpha
14.0ms	beta

Results

Error	Segments	Branch
15.7b	6	`alpha`
14.5b	2	`beta`

Compiler

Compiled 80 to 65 computations (18.8% saved)

bsearch34.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	1.311188220593473e-6	3.486791480101227

Compiler

Compiled 20 to 15 computations (25% saved)

regimes54.0ms (0.7%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	alpha
13.0ms	beta

Results

Error	Segments	Branch
15.7b	6	`alpha`
14.7b	2	`beta`

Compiler

Compiled 66 to 54 computations (18.2% saved)

bsearch29.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	1.311188220593473e-6	3.486791480101227

Compiler

Compiled 20 to 15 computations (25% saved)

regimes50.0ms (0.6%)

Accuracy

Total -48.1b remaining (-320.5%)

Threshold costs -48.1b (-320.5%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	alpha
10.0ms	beta

Results

Error	Segments	Branch
15.7b	6	`alpha`
15.0b	2	`beta`

Compiler

Compiled 52 to 42 computations (19.2% saved)

bsearch29.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	1.311188220593473e-6	3.486791480101227

Compiler

Compiled 20 to 15 computations (25% saved)

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

33×	`+-commutative_binary64`
24×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`
22×	`distribute-rgt-neg-in_binary64`
22×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	418
1	115	418
2	130	418
3	144	418
4	161	418
5	198	418
6	243	418
7	286	418
8	339	418
9	362	418
10	363	418

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18437520701672697856/18446744073709551616) (/.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (.f64 alpha alpha)) (-.f64 -2 beta)))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18437520701672697856/18446744073709551616) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18437520701672697856/18446744073709551616) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18437520701672697856/18446744073709551616) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 1 beta)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 6575282987778013/34359738368) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 1 beta)) 2))
(if (<=.f64 beta 1547977826416027/1180591620717411303424) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(if (<=.f64 alpha -6538416064830967/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (/.f64 2 2) (if (<=.f64 alpha 1461581506011493/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (/.f64 1 2) (if (<=.f64 alpha 5370494335962828800/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2) (if (<=.f64 alpha 99944453177390240/340282366920938463463374607431768211456) (/.f64 1 2) (if (<=.f64 alpha 6575282987778013/34359738368) (/.f64 2 2) (/.f64 (/.f64 2 (/.f64 alpha (+.f64 1 beta))) 2))))))
(if (<=.f64 beta 1547977826416027/1180591620717411303424) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(if (<=.f64 beta 1547977826416027/1180591620717411303424) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 1547977826416027/1180591620717411303424) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18437520701672697856/18446744073709551616) (/.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (.f64 alpha alpha)) (-.f64 -2 beta)))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (.f64 alpha alpha)) (-.f64 -2 beta)))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) (.f64 alpha alpha)) (-.f64 -2 beta)))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (.f64 (+.f64 beta 2) (/.f64 (-.f64 (-.f64 -2 beta) beta) (.f64 alpha alpha))))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18437520701672697856/18446744073709551616) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (.f64 (/.f64 (-.f64 -2 (.f64 beta 2)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18437520701672697856/18446744073709551616) (/.f64 (.f64 (/.f64 (+.f64 (.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (.f64 (/.f64 (+.f64 -2 (.f64 beta -2)) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (.f64 (/.f64 (-.f64 -2 (.f64 beta 2)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -18437520701672697856/18446744073709551616) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 1 beta)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4501347827556811/4503599627370496) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 6575282987778013/34359738368) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 1 beta)) 2))
(if (<=.f64 alpha 6575282987778013/34359738368) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))
(if (<=.f64 beta 1547977826416027/1180591620717411303424) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(if (<=.f64 alpha -6538416064830967/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (/.f64 2 2) (if (<=.f64 alpha 1461581506011493/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (/.f64 1 2) (if (<=.f64 alpha 5370494335962828800/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2) (if (<=.f64 alpha 99944453177390240/340282366920938463463374607431768211456) (/.f64 1 2) (if (<=.f64 alpha 6575282987778013/34359738368) (/.f64 2 2) (/.f64 (/.f64 2 (/.f64 alpha (+.f64 1 beta))) 2))))))
(if (<=.f64 alpha -6538416064830967/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) 1 (if (<=.f64 alpha 1461581506011493/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) 1/2 (if (<=.f64 alpha 1311155843740925/30030067315218800919884630782037027445247038374198014146711597563050526250476926831789640794321325523394216076738821850476730762665208973047045843626559620640158907690363610309346513399556581649279919071671610504617321356178738468477058455548958390664298496) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2) (if (<=.f64 alpha 3123264161793445/10633823966279326983230456482242756608) 1/2 (if (<=.f64 alpha 6575282987778013/34359738368) 1 (/.f64 (/.f64 2 (/.f64 alpha (+.f64 beta 1))) 2))))))
(if (<=.f64 beta 1547977826416027/1180591620717411303424) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(if (<=.f64 beta 1547977826416027/1180591620717411303424) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(if (<=.f64 beta 1547977826416027/1180591620717411303424) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 1547977826416027/1180591620717411303424) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)
(if (<=.f64 beta 1547977826416027/1180591620717411303424) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 1547977826416027/1180591620717411303424) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 310 to 231 computations (25.5% saved)

soundness139.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	2203
1	759	2087
2	2810	1907

Stop Event

1×	node limit

Compiler

Compiled 1397 to 1050 computations (24.8% saved)

end274.0ms (3.6%)

Compiler: Compiled 290 to 205 computations (29.3% saved)

Iter	Nodes	Cost
0	14	228
1	29	228
2	48	186
3	55	186
4	72	186
5	121	186
6	158	186
7	192	186
8	197	186
9	207	186

Iter	Nodes	Cost
0	87	418
1	115	418
2	130	418
3	144	418
4	161	418
5	198	418
6	243	418
7	286	418
8	339	418
9	362	418
10	363	418

Iter	Nodes	Cost
0	14	228
1	29	228
2	48	186
3	55	186
4	72	186
5	121	186
6	158	186
7	192	186
8	197	186
9	207	186

Iter	Nodes	Cost
0	87	418
1	115	418
2	130	418
3	144	418
4	161	418
5	198	418
6	243	418
7	286	418
8	339	418
9	362	418
10	363	418

Iter	Nodes	Cost
0	14	228
1	29	228
2	48	186
3	55	186
4	72	186
5	121	186
6	158	186
7	192	186
8	197	186
9	207	186

Iter	Nodes	Cost
0	87	418
1	115	418
2	130	418
3	144	418
4	161	418
5	198	418
6	243	418
7	286	418
8	339	418
9	362	418
10	363	418