Details

analyze90.0ms (2.6%)

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
54.4%	1.7%	43.8%	13
54.9%	1.3%	43.8%	14

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.5s (44%)

Results

759.0ms	6174×	body	128	valid
386.0ms	1016×	body	1024	valid
248.0ms	646×	body	512	valid
79.0ms	332×	body	256	valid
38.0ms	88×	body	2048	valid

preprocess33.0ms (1%)

Algorithm

2×	egg-herbie

Rules

954×	`fma-neg_binary64`
549×	`div-sub_binary64`
376×	`times-frac_binary64`
249×	`cancel-sign-sub-inv_binary64`
246×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	39	38
2	64	38
3	109	38
4	201	38
5	404	34
6	859	34
7	2060	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 beta (+.f64 alpha 2))) 2) -1/2)
(-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 2 (+.f64 beta alpha) 4)))
(+.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 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2) -1/2)
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 2 (+.f64 beta alpha) 4)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify30.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

434×	`cancel-sign-sub-inv_binary64`
372×	`div-sub_binary64`
343×	`sub-neg_binary64`
331×	`fma-neg_binary64`
292×	`fma-def_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	23	19
2	40	19
3	67	19
4	118	19
5	238	17
6	445	17
7	753	17
8	1572	17
9	3643	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 (+.f64 2 alpha) beta)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1/2)
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

16.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	16.3b	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))

Compiler

Compiled 55 to 39 computations (29.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))
✓	1.0b	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))

series18.0ms (0.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	0	(/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))
2.0ms	alpha	@	inf	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
1.0ms	beta	@	0	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
1.0ms	alpha	@	-inf	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
1.0ms	alpha	@	0	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))

rewrite63.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

408×	`fma-def_binary64`
244×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`
136×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	261	31
2	3763	31

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

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

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simplify61.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

499×	`distribute-rgt-in_binary64`
251×	`fma-def_binary64`
222×	`cancel-sign-sub-inv_binary64`
168×	`+-commutative_binary64`
136×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	2502
1	870	2342
2	3352	2308

Stop Event

1×	node limit

Counts

154 → 189

Calls

Call 1

Inputs
(-.f64 1/2 (/.f64 beta (-.f64 (*.f64 -2 beta) 4)))
(-.f64 (+.f64 1/2 (.f64 alpha (+.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 -2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2)))))) (/.f64 beta (-.f64 (*.f64 -2 beta) 4)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))) (.f64 -4 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 3)))) (pow.f64 alpha 2)) (.f64 alpha (+.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 -2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))))))) (/.f64 beta (-.f64 (.f64 -2 beta) 4)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 -8 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 4))) (.f64 4 (/.f64 1 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3)))) (pow.f64 alpha 3)) (+.f64 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))) (.f64 -4 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 3)))) (pow.f64 alpha 2)) (.f64 alpha (+.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 -2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2)))))))) (/.f64 beta (-.f64 (*.f64 -2 beta) 4)))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4))) alpha))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 beta (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4))) alpha))) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -2 beta) 4) 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 beta (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))) (+.f64 (.f64 1/8 (/.f64 (.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4))) alpha)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3) (pow.f64 alpha 3))) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 beta (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))) (+.f64 (.f64 1/8 (/.f64 (.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 3)) (pow.f64 alpha 4))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4))) alpha))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3) (pow.f64 alpha 3))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 4) (pow.f64 alpha 4))) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -2 beta) 4) 2) (pow.f64 alpha 2))))))
(/.f64 (-.f64 (.f64 1/2 beta) (.f64 1/4 (-.f64 (*.f64 -2 beta) 4))) alpha)
(-.f64 (+.f64 (.f64 1/2 (/.f64 beta alpha)) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4))) (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2)))) (.f64 1/4 (/.f64 (-.f64 (*.f64 -2 beta) 4) alpha)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (-.f64 (.f64 1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4)))) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 beta alpha)) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4))) (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))))) (.f64 1/4 (/.f64 (-.f64 (*.f64 -2 beta) 4) alpha)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (-.f64 (.f64 1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4)))) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 beta alpha)) (+.f64 (.f64 1/8 (/.f64 (.f64 (-.f64 (.f64 1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4))) (pow.f64 (-.f64 (.f64 -2 beta) 4) 3)) (pow.f64 alpha 4))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4))) (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2)))))) (.f64 1/4 (/.f64 (-.f64 (*.f64 -2 beta) 4) alpha)))
(+.f64 1/2 (/.f64 alpha (-.f64 (*.f64 -2 alpha) 4)))
(+.f64 1/2 (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (-.f64 (.f64 -2 alpha) 4)) (.f64 -2 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2)))))) (/.f64 alpha (-.f64 (.f64 -2 alpha) 4))))
(+.f64 1/2 (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (-.f64 (.f64 -2 alpha) 4)) (.f64 -2 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2)))))) (+.f64 (/.f64 alpha (-.f64 (.f64 -2 alpha) 4)) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))) (.f64 -4 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3)))))))))
(+.f64 1/2 (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (-.f64 (.f64 -2 alpha) 4)) (.f64 -2 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2)))))) (+.f64 (/.f64 alpha (-.f64 (.f64 -2 alpha) 4)) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 4 (/.f64 1 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3))) (.f64 -8 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 4)))))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))) (.f64 -4 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3))))))))))
1
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 alpha beta)) (.f64 1/4 (/.f64 (-.f64 (*.f64 -2 alpha) 4) beta))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (/.f64 alpha beta)) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) beta)) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) (pow.f64 beta 2)))))) (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 -2 alpha) 4) alpha) (pow.f64 beta 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (/.f64 alpha beta)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3) (pow.f64 beta 3))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) beta)) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) (pow.f64 beta 2))))))) (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 -2 alpha) 4) alpha) (pow.f64 beta 2))) (.f64 1/8 (/.f64 (.f64 (pow.f64 (-.f64 (*.f64 -2 alpha) 4) 2) alpha) (pow.f64 beta 3)))))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 alpha) (.f64 1/4 (-.f64 (.f64 -2 alpha) 4))) beta)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 (-.f64 (.f64 -2 alpha) 4) alpha)) (.f64 -1/8 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))) (pow.f64 beta 2))) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 alpha) (.f64 1/4 (-.f64 (.f64 -2 alpha) 4))) beta))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 (-.f64 (.f64 -2 alpha) 4) alpha)) (.f64 -1/8 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))) (pow.f64 beta 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) alpha) (pow.f64 beta 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 alpha) (.f64 1/4 (-.f64 (.f64 -2 alpha) 4))) beta)) (.f64 1/16 (/.f64 (pow.f64 (-.f64 (*.f64 -2 alpha) 4) 3) (pow.f64 beta 3)))))))
(.f64 -1 (/.f64 beta (-.f64 (.f64 -2 beta) 4)))
(+.f64 (.f64 -1 (/.f64 beta (-.f64 (.f64 -2 beta) 4))) (.f64 alpha (-.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))))) (-.f64 (.f64 -2 beta) 4))) (+.f64 (.f64 -1 (/.f64 beta (-.f64 (.f64 -2 beta) 4))) (.f64 alpha (-.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2)))))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))))) (-.f64 (.f64 -2 beta) 4))) (+.f64 (.f64 -1 (/.f64 beta (-.f64 (.f64 -2 beta) 4))) (+.f64 (.f64 alpha (-.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))))) (.f64 4 (/.f64 (.f64 (pow.f64 alpha 3) (-.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))))) (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))))))
-1/2
(-.f64 (.f64 1/2 (/.f64 beta alpha)) (+.f64 1/2 (.f64 1/4 (/.f64 (-.f64 (*.f64 -2 beta) 4) alpha))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -2 beta) 4) (-.f64 (.f64 1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4)))) (pow.f64 alpha 2))) (.f64 1/2 (/.f64 beta alpha))) (+.f64 1/2 (.f64 1/4 (/.f64 (-.f64 (*.f64 -2 beta) 4) alpha))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -2 beta) 4) (-.f64 (.f64 1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4)))) (pow.f64 alpha 2))) (+.f64 (.f64 1/2 (/.f64 beta alpha)) (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4))) (pow.f64 (-.f64 (.f64 -2 beta) 4) 2)) (pow.f64 alpha 3))))) (+.f64 1/2 (.f64 1/4 (/.f64 (-.f64 (*.f64 -2 beta) 4) alpha))))
-1/2
(-.f64 (.f64 1/2 (/.f64 beta alpha)) (+.f64 1/2 (.f64 1/4 (/.f64 (-.f64 (*.f64 -2 beta) 4) alpha))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 beta alpha)) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4))) (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2)))) (+.f64 1/2 (.f64 1/4 (/.f64 (-.f64 (*.f64 -2 beta) 4) alpha))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (-.f64 (.f64 1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4)))) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 beta alpha)) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4))) (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))))) (+.f64 1/2 (.f64 1/4 (/.f64 (-.f64 (*.f64 -2 beta) 4) alpha))))
(/.f64 alpha (-.f64 (*.f64 -2 alpha) 4))
(+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (-.f64 (.f64 -2 alpha) 4)) (.f64 -2 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2)))))) (/.f64 alpha (-.f64 (.f64 -2 alpha) 4)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (-.f64 (.f64 -2 alpha) 4)) (.f64 -2 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))))) (-.f64 (.f64 -2 alpha) 4))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (-.f64 (.f64 -2 alpha) 4)) (.f64 -2 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2)))))) (/.f64 alpha (-.f64 (.f64 -2 alpha) 4))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (-.f64 (.f64 -2 alpha) 4)) (.f64 -2 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))))) (-.f64 (.f64 -2 alpha) 4))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (-.f64 (.f64 -2 alpha) 4)) (.f64 -2 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2)))))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (-.f64 (.f64 -2 alpha) 4)) (.f64 -2 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))))) (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))) (/.f64 alpha (-.f64 (.f64 -2 alpha) 4)))))
1/2
(-.f64 (+.f64 1/2 (.f64 -1/2 (/.f64 alpha beta))) (.f64 -1/4 (/.f64 (-.f64 (*.f64 -2 alpha) 4) beta)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1/2 (/.f64 alpha beta)) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -2 alpha) 4) (-.f64 (.f64 -1/2 alpha) (.f64 -1/4 (-.f64 (.f64 -2 alpha) 4)))) (pow.f64 beta 2))))) (.f64 -1/4 (/.f64 (-.f64 (*.f64 -2 alpha) 4) beta)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1/2 (/.f64 alpha beta)) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -2 alpha) 4) (-.f64 (.f64 -1/2 alpha) (.f64 -1/4 (-.f64 (.f64 -2 alpha) 4)))) (pow.f64 beta 2))) (.f64 1/4 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) (-.f64 (.f64 -1/2 alpha) (.f64 -1/4 (-.f64 (.f64 -2 alpha) 4)))) (pow.f64 beta 3)))))) (.f64 -1/4 (/.f64 (-.f64 (*.f64 -2 alpha) 4) beta)))
1/2
(+.f64 1/2 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 alpha) (.f64 1/4 (-.f64 (.f64 -2 alpha) 4))) beta)))
(+.f64 1/2 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 alpha) (.f64 1/4 (-.f64 (.f64 -2 alpha) 4))) beta)) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 alpha) (.f64 1/4 (-.f64 (.f64 -2 alpha) 4))) (-.f64 (.f64 -2 alpha) 4)) (pow.f64 beta 2)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 1/2 alpha) (.f64 1/4 (-.f64 (.f64 -2 alpha) 4))) (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2)) (pow.f64 beta 3))) (+.f64 1/2 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 alpha) (.f64 1/4 (-.f64 (.f64 -2 alpha) 4))) beta)) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 alpha) (.f64 1/4 (-.f64 (.f64 -2 alpha) 4))) (-.f64 (.f64 -2 alpha) 4)) (pow.f64 beta 2))))))

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

prune261.0ms (7.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	186	3	189
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	4	190

Error

0.0b

Counts

190 → 4

Alt Table

Status	Error	Program
✓	16.3b	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
	36.3b	(fma.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (fma.f64 (+.f64 alpha beta) -2 -4)) (neg.f64 (-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)))
	45.1b	(/.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)) alpha)
▶	16.6b	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)

Compiler

Compiled 6154 to 4354 computations (29.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4))
✓	16.7b	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)

series10.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	inf	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)
1.0ms	alpha	@	-inf	(/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4))
1.0ms	alpha	@	-inf	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)
1.0ms	alpha	@	0	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)
1.0ms	beta	@	0	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)

rewrite53.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`prod-diff_binary64`
221×	`expm1-udef_binary64`
221×	`log1p-udef_binary64`
152×	`fma-neg_binary64`
128×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	258	28
2	3190	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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

Outputs

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

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

simplify58.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

900×	`times-frac_binary64`
246×	`fma-def_binary64`
224×	`distribute-lft-in_binary64`
224×	`distribute-rgt-in_binary64`
214×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	2071
1	730	2014
2	2565	1998

Stop Event

1×	node limit

Counts

94 → 121

Calls

Call 1

Inputs
(+.f64 (.f64 -1 (/.f64 beta (-.f64 (.f64 -2 beta) 4))) 1/2)
(+.f64 (.f64 -1 (/.f64 beta (-.f64 (.f64 -2 beta) 4))) (+.f64 1/2 (.f64 alpha (+.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 -2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2)))))))
(+.f64 (.f64 -1 (/.f64 beta (-.f64 (.f64 -2 beta) 4))) (+.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))) (.f64 -4 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 3)))) (pow.f64 alpha 2)) (.f64 alpha (+.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 -2 (/.f64 beta (pow.f64 (-.f64 (*.f64 -2 beta) 4) 2))))))))
(+.f64 (.f64 -1 (/.f64 beta (-.f64 (.f64 -2 beta) 4))) (+.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 -8 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 4))) (.f64 4 (/.f64 1 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3)))) (pow.f64 alpha 3)) (+.f64 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))) (.f64 -4 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 3)))) (pow.f64 alpha 2)) (.f64 alpha (+.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 -2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2)))))))))
(/.f64 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (-.f64 (*.f64 -2 beta) 4))) alpha)
(+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) alpha)) (+.f64 (.f64 1/4 (/.f64 (.f64 beta (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))) (+.f64 (.f64 1/2 (/.f64 beta alpha)) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 2))))))
(+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) alpha)) (+.f64 (.f64 1/4 (/.f64 (.f64 beta (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3) (pow.f64 alpha 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 beta alpha)) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -2 beta) 4) 2) (pow.f64 alpha 2))))))))
(+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) alpha)) (+.f64 (.f64 1/4 (/.f64 (.f64 beta (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 4) (pow.f64 alpha 4))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3) (pow.f64 alpha 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 beta alpha)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 2))) (.f64 1/16 (/.f64 (.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 3)) (pow.f64 alpha 4))))))))))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4))) alpha))
(+.f64 (.f64 1/4 (/.f64 (.f64 beta (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 beta) (.f64 1/4 (-.f64 (*.f64 -2 beta) 4))) alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))) (.f64 1/16 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3))) (pow.f64 alpha 3))) (+.f64 (.f64 1/4 (/.f64 (.f64 beta (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 beta) (.f64 1/4 (-.f64 (*.f64 -2 beta) 4))) alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))) (.f64 1/16 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3))) (pow.f64 alpha 3))) (+.f64 (.f64 1/4 (/.f64 (.f64 beta (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 4) (pow.f64 alpha 4))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 3)) (pow.f64 alpha 4))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4))) alpha)))))))
(+.f64 1/2 (/.f64 alpha (-.f64 (*.f64 -2 alpha) 4)))
(+.f64 1/2 (+.f64 (/.f64 alpha (-.f64 (.f64 -2 alpha) 4)) (.f64 beta (-.f64 (.f64 2 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))) (/.f64 1 (-.f64 (*.f64 -2 alpha) 4))))))
(+.f64 1/2 (+.f64 (/.f64 alpha (-.f64 (.f64 -2 alpha) 4)) (+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))) (/.f64 1 (-.f64 (.f64 -2 alpha) 4)))) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3))) (.f64 2 (/.f64 1 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))))))))
(+.f64 1/2 (+.f64 (/.f64 alpha (-.f64 (.f64 -2 alpha) 4)) (+.f64 (.f64 beta (-.f64 (.f64 2 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))) (/.f64 1 (-.f64 (.f64 -2 alpha) 4)))) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (.f64 8 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 4))) (.f64 4 (/.f64 1 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3))))) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3))) (.f64 2 (/.f64 1 (pow.f64 (-.f64 (*.f64 -2 alpha) 4) 2)))))))))
1
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 alpha beta)) (.f64 1/4 (/.f64 (-.f64 (*.f64 -2 alpha) 4) beta))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 -2 alpha) 4) alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (.f64 -1/2 (/.f64 alpha beta)) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) beta)) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) (pow.f64 beta 2)))))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 -2 alpha) 4) alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (.f64 -1/2 (/.f64 alpha beta)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3) (pow.f64 beta 3))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) beta)) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -2 alpha) 4) 2) (pow.f64 beta 2)))))))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (-.f64 (.f64 -2 alpha) 4)) (.f64 1/2 alpha)) beta)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 -2 alpha) 4) alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (-.f64 (.f64 -2 alpha) 4)) (.f64 1/2 alpha)) beta)) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -2 alpha) 4) 2) (pow.f64 beta 2))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 -2 alpha) 4) alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (-.f64 (.f64 -2 alpha) 4)) (.f64 1/2 alpha)) beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) alpha)) (.f64 -1/16 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3))) (pow.f64 beta 3))) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -2 alpha) 4) 2) (pow.f64 beta 2)))))))
(/.f64 1 (-.f64 (*.f64 -2 beta) 4))
(+.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 2 (/.f64 alpha (pow.f64 (-.f64 (*.f64 -2 beta) 4) 2))))
(+.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))) (.f64 4 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (*.f64 -2 beta) 4) 3)))))
(+.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (+.f64 (.f64 8 (/.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 (.f64 -2 beta) 4) 4))) (+.f64 (.f64 2 (/.f64 alpha (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))) (.f64 4 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (*.f64 -2 beta) 4) 3))))))
(/.f64 -1/2 alpha)
(-.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) (pow.f64 alpha 2))) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 3)))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) (pow.f64 alpha 2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3) (pow.f64 alpha 4))) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 3))))) (*.f64 1/2 (/.f64 1 alpha)))
(/.f64 -1/2 alpha)
(-.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) (pow.f64 alpha 2))) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 3)))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) (pow.f64 alpha 2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3) (pow.f64 alpha 4))) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 3))))) (*.f64 1/2 (/.f64 1 alpha)))
(/.f64 1 (-.f64 (*.f64 -2 alpha) 4))
(+.f64 (.f64 2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))) (/.f64 1 (-.f64 (*.f64 -2 alpha) 4)))
(+.f64 (.f64 4 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3))) (+.f64 (.f64 2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))) (/.f64 1 (-.f64 (*.f64 -2 alpha) 4))))
(+.f64 (.f64 4 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3))) (+.f64 (.f64 2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))) (+.f64 (/.f64 1 (-.f64 (.f64 -2 alpha) 4)) (.f64 8 (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (*.f64 -2 alpha) 4) 4))))))
(/.f64 -1/2 beta)
(-.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) (pow.f64 beta 3))) (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) (pow.f64 beta 2)))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) (pow.f64 beta 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3) (pow.f64 beta 4))) (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) (pow.f64 beta 2))))) (*.f64 1/2 (/.f64 1 beta)))
(/.f64 -1/2 beta)
(-.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) (pow.f64 beta 3))) (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) (pow.f64 beta 2)))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) (pow.f64 beta 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3) (pow.f64 beta 4))) (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) (pow.f64 beta 2))))) (*.f64 1/2 (/.f64 1 beta)))

Outputs
(+.f64 (.f64 -1 (/.f64 beta (-.f64 (.f64 -2 beta) 4))) 1/2)
(fma.f64 -1 (/.f64 beta (fma.f64 -2 beta -4)) 1/2)
(-.f64 1/2 (/.f64 beta (fma.f64 beta -2 -4)))
(+.f64 (.f64 -1 (/.f64 beta (-.f64 (.f64 -2 beta) 4))) (+.f64 1/2 (.f64 alpha (+.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 -2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2)))))))
(+.f64 (fma.f64 -1 (/.f64 beta (fma.f64 -2 beta -4)) 1/2) (.f64 alpha (+.f64 (/.f64 1 (fma.f64 -2 beta -4)) (.f64 -2 (/.f64 beta (pow.f64 (fma.f64 -2 beta -4) 2))))))
(-.f64 (fma.f64 alpha (fma.f64 -2 (/.f64 beta (pow.f64 (fma.f64 beta -2 -4) 2)) (/.f64 1 (fma.f64 beta -2 -4))) 1/2) (/.f64 beta (fma.f64 beta -2 -4)))
(+.f64 (.f64 -1 (/.f64 beta (-.f64 (.f64 -2 beta) 4))) (+.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))) (.f64 -4 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 3)))) (pow.f64 alpha 2)) (.f64 alpha (+.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 -2 (/.f64 beta (pow.f64 (-.f64 (*.f64 -2 beta) 4) 2))))))))
(+.f64 (fma.f64 -1 (/.f64 beta (fma.f64 -2 beta -4)) 1/2) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (fma.f64 -2 beta -4) 2)) (.f64 -4 (/.f64 beta (pow.f64 (fma.f64 -2 beta -4) 3)))) (.f64 alpha alpha) (.f64 alpha (+.f64 (/.f64 1 (fma.f64 -2 beta -4)) (.f64 -2 (/.f64 beta (pow.f64 (fma.f64 -2 beta -4) 2)))))))
(+.f64 (-.f64 (fma.f64 alpha (fma.f64 -2 (/.f64 beta (pow.f64 (fma.f64 beta -2 -4) 2)) (/.f64 1 (fma.f64 beta -2 -4))) 1/2) (/.f64 beta (fma.f64 beta -2 -4))) (.f64 (fma.f64 -4 (/.f64 beta (pow.f64 (fma.f64 beta -2 -4) 3)) (/.f64 2 (pow.f64 (fma.f64 beta -2 -4) 2))) (.f64 alpha alpha)))
(+.f64 1/2 (-.f64 (.f64 alpha (+.f64 (fma.f64 -2 (/.f64 beta (pow.f64 (fma.f64 beta -2 -4) 2)) (/.f64 1 (fma.f64 beta -2 -4))) (.f64 (fma.f64 -4 (/.f64 beta (pow.f64 (fma.f64 beta -2 -4) 3)) (/.f64 2 (pow.f64 (fma.f64 beta -2 -4) 2))) alpha))) (/.f64 beta (fma.f64 beta -2 -4))))
(+.f64 (.f64 -1 (/.f64 beta (-.f64 (.f64 -2 beta) 4))) (+.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 -8 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 4))) (.f64 4 (/.f64 1 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3)))) (pow.f64 alpha 3)) (+.f64 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))) (.f64 -4 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 3)))) (pow.f64 alpha 2)) (.f64 alpha (+.f64 (/.f64 1 (-.f64 (.f64 -2 beta) 4)) (.f64 -2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2)))))))))
(+.f64 (fma.f64 -1 (/.f64 beta (fma.f64 -2 beta -4)) 1/2) (fma.f64 (fma.f64 -8 (/.f64 beta (pow.f64 (fma.f64 -2 beta -4) 4)) (/.f64 4 (pow.f64 (fma.f64 -2 beta -4) 3))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (fma.f64 -2 beta -4) 2)) (.f64 -4 (/.f64 beta (pow.f64 (fma.f64 -2 beta -4) 3)))) (.f64 alpha alpha) (.f64 alpha (+.f64 (/.f64 1 (fma.f64 -2 beta -4)) (.f64 -2 (/.f64 beta (pow.f64 (fma.f64 -2 beta -4) 2))))))))
(-.f64 (+.f64 (fma.f64 (fma.f64 -8 (/.f64 beta (pow.f64 (fma.f64 beta -2 -4) 4)) (/.f64 4 (pow.f64 (fma.f64 beta -2 -4) 3))) (pow.f64 alpha 3) (.f64 (fma.f64 -4 (/.f64 beta (pow.f64 (fma.f64 beta -2 -4) 3)) (/.f64 2 (pow.f64 (fma.f64 beta -2 -4) 2))) (.f64 alpha alpha))) (fma.f64 alpha (fma.f64 -2 (/.f64 beta (pow.f64 (fma.f64 beta -2 -4) 2)) (/.f64 1 (fma.f64 beta -2 -4))) 1/2)) (/.f64 beta (fma.f64 beta -2 -4)))
(-.f64 (+.f64 (.f64 (.f64 alpha alpha) (+.f64 (fma.f64 -4 (/.f64 beta (pow.f64 (fma.f64 beta -2 -4) 3)) (/.f64 2 (pow.f64 (fma.f64 beta -2 -4) 2))) (*.f64 alpha (fma.f64 -8 (/.f64 beta (pow.f64 (fma.f64 beta -2 -4) 4)) (/.f64 4 (pow.f64 (fma.f64 beta -2 -4) 3)))))) (fma.f64 alpha (fma.f64 -2 (/.f64 beta (pow.f64 (fma.f64 beta -2 -4) 2)) (/.f64 1 (fma.f64 beta -2 -4))) 1/2)) (/.f64 beta (fma.f64 beta -2 -4)))
(/.f64 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (-.f64 (*.f64 -2 beta) 4))) alpha)
(/.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 -2 beta -4) -1/4)) alpha)
(/.f64 (fma.f64 (fma.f64 beta -2 -4) -1/4 (*.f64 beta 1/2)) alpha)
(+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) alpha)) (+.f64 (.f64 1/4 (/.f64 (.f64 beta (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))) (+.f64 (.f64 1/2 (/.f64 beta alpha)) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 2))))))
(fma.f64 -1/4 (/.f64 (fma.f64 -2 beta -4) alpha) (fma.f64 1/4 (/.f64 beta (/.f64 (.f64 alpha alpha) (fma.f64 -2 beta -4))) (fma.f64 1/2 (/.f64 beta alpha) (.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 beta -4) 2) (*.f64 alpha alpha))))))
(fma.f64 -1/4 (/.f64 (fma.f64 beta -2 -4) alpha) (fma.f64 1/4 (.f64 (/.f64 beta (.f64 alpha alpha)) (fma.f64 beta -2 -4)) (fma.f64 1/2 (/.f64 beta alpha) (.f64 -1/8 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 2) (.f64 alpha alpha))))))
(fma.f64 -1/4 (/.f64 (fma.f64 beta -2 -4) alpha) (fma.f64 1/4 (.f64 (/.f64 beta (.f64 alpha alpha)) (fma.f64 beta -2 -4)) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 2) (.f64 alpha alpha)) (.f64 1/2 (/.f64 beta alpha)))))
(+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) alpha)) (+.f64 (.f64 1/4 (/.f64 (.f64 beta (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3) (pow.f64 alpha 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 beta alpha)) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -2 beta) 4) 2) (pow.f64 alpha 2))))))))
(fma.f64 -1/4 (/.f64 (fma.f64 -2 beta -4) alpha) (fma.f64 1/4 (/.f64 beta (/.f64 (.f64 alpha alpha) (fma.f64 -2 beta -4))) (fma.f64 -1/16 (/.f64 (pow.f64 (fma.f64 -2 beta -4) 3) (pow.f64 alpha 3)) (fma.f64 1/8 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 -2 beta -4) 2))) (fma.f64 1/2 (/.f64 beta alpha) (.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 beta -4) 2) (*.f64 alpha alpha))))))))
(fma.f64 -1/4 (/.f64 (fma.f64 beta -2 -4) alpha) (fma.f64 1/4 (.f64 (/.f64 beta (.f64 alpha alpha)) (fma.f64 beta -2 -4)) (fma.f64 -1/16 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 3) (pow.f64 alpha 3)) (fma.f64 1/8 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (fma.f64 beta -2 -4) 2)) (fma.f64 1/2 (/.f64 beta alpha) (.f64 -1/8 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 2) (*.f64 alpha alpha))))))))
(fma.f64 -1/4 (/.f64 (fma.f64 beta -2 -4) alpha) (fma.f64 1/4 (.f64 (/.f64 beta (.f64 alpha alpha)) (fma.f64 beta -2 -4)) (fma.f64 -1/16 (pow.f64 (/.f64 (fma.f64 beta -2 -4) alpha) 3) (fma.f64 1/8 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (fma.f64 beta -2 -4) 2)) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 2) (.f64 alpha alpha)) (*.f64 1/2 (/.f64 beta alpha)))))))
(+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) alpha)) (+.f64 (.f64 1/4 (/.f64 (.f64 beta (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 4) (pow.f64 alpha 4))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3) (pow.f64 alpha 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 beta alpha)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 2))) (.f64 1/16 (/.f64 (.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 3)) (pow.f64 alpha 4))))))))))
(fma.f64 -1/4 (/.f64 (fma.f64 -2 beta -4) alpha) (fma.f64 1/4 (/.f64 beta (/.f64 (.f64 alpha alpha) (fma.f64 -2 beta -4))) (fma.f64 -1/32 (/.f64 (pow.f64 (fma.f64 -2 beta -4) 4) (pow.f64 alpha 4)) (fma.f64 -1/16 (/.f64 (pow.f64 (fma.f64 -2 beta -4) 3) (pow.f64 alpha 3)) (fma.f64 1/8 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 -2 beta -4) 2))) (fma.f64 1/2 (/.f64 beta alpha) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 beta -4) 2) (.f64 alpha alpha)) (*.f64 1/16 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (fma.f64 -2 beta -4) 3)))))))))))
(fma.f64 -1/4 (/.f64 (fma.f64 beta -2 -4) alpha) (fma.f64 1/4 (.f64 (/.f64 beta (.f64 alpha alpha)) (fma.f64 beta -2 -4)) (fma.f64 -1/32 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 4) (pow.f64 alpha 4)) (fma.f64 -1/16 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 3) (pow.f64 alpha 3)) (fma.f64 1/8 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (fma.f64 beta -2 -4) 2)) (fma.f64 1/2 (/.f64 beta alpha) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 2) (.f64 alpha alpha)) (.f64 1/16 (.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (fma.f64 beta -2 -4) 3))))))))))
(fma.f64 -1/4 (/.f64 (fma.f64 beta -2 -4) alpha) (fma.f64 1/4 (.f64 (/.f64 beta (.f64 alpha alpha)) (fma.f64 beta -2 -4)) (fma.f64 -1/32 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 4) (pow.f64 alpha 4)) (fma.f64 -1/16 (pow.f64 (/.f64 (fma.f64 beta -2 -4) alpha) 3) (fma.f64 1/8 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (fma.f64 beta -2 -4) 2)) (fma.f64 1/2 (/.f64 beta alpha) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 2) (.f64 alpha alpha)) (.f64 1/16 (.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (fma.f64 beta -2 -4) 3))))))))))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 beta) (.f64 1/4 (-.f64 (.f64 -2 beta) 4))) alpha))
(neg.f64 (/.f64 (fma.f64 -1/2 beta (*.f64 (fma.f64 -2 beta -4) 1/4)) alpha))
(/.f64 (neg.f64 (fma.f64 beta -1/2 (*.f64 (fma.f64 beta -2 -4) 1/4))) alpha)
(+.f64 (.f64 1/4 (/.f64 (.f64 beta (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 beta) (.f64 1/4 (-.f64 (*.f64 -2 beta) 4))) alpha))))
(fma.f64 1/4 (/.f64 beta (/.f64 (.f64 alpha alpha) (fma.f64 -2 beta -4))) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 beta -4) 2) (.f64 alpha alpha)) (neg.f64 (/.f64 (fma.f64 -1/2 beta (*.f64 (fma.f64 -2 beta -4) 1/4)) alpha))))
(-.f64 (fma.f64 1/4 (.f64 (/.f64 beta (.f64 alpha alpha)) (fma.f64 beta -2 -4)) (.f64 -1/8 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 2) (.f64 alpha alpha)))) (/.f64 (fma.f64 beta -1/2 (*.f64 (fma.f64 beta -2 -4) 1/4)) alpha))
(fma.f64 1/4 (.f64 (/.f64 beta (.f64 alpha alpha)) (fma.f64 beta -2 -4)) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 2) (.f64 alpha alpha)) (/.f64 (neg.f64 (fma.f64 beta -1/2 (.f64 (fma.f64 beta -2 -4) 1/4))) alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 beta (pow.f64 (-.f64 (.f64 -2 beta) 4) 2))) (.f64 1/16 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3))) (pow.f64 alpha 3))) (+.f64 (.f64 1/4 (/.f64 (.f64 beta (-.f64 (.f64 -2 beta) 4)) (pow.f64 alpha 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 beta) (.f64 1/4 (-.f64 (*.f64 -2 beta) 4))) alpha)))))
(fma.f64 -1 (/.f64 (fma.f64 -1/8 (.f64 beta (pow.f64 (fma.f64 -2 beta -4) 2)) (.f64 (pow.f64 (fma.f64 -2 beta -4) 3) 1/16)) (pow.f64 alpha 3)) (fma.f64 1/4 (/.f64 beta (/.f64 (.f64 alpha alpha) (fma.f64 -2 beta -4))) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 beta -4) 2) (.f64 alpha alpha)) (neg.f64 (/.f64 (fma.f64 -1/2 beta (*.f64 (fma.f64 -2 beta -4) 1/4)) alpha)))))
(-.f64 (-.f64 (fma.f64 1/4 (.f64 (/.f64 beta (.f64 alpha alpha)) (fma.f64 beta -2 -4)) (.f64 -1/8 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 2) (.f64 alpha alpha)))) (/.f64 (fma.f64 beta -1/2 (.f64 (fma.f64 beta -2 -4) 1/4)) alpha)) (/.f64 (fma.f64 (.f64 beta -1/8) (pow.f64 (fma.f64 beta -2 -4) 2) (*.f64 (pow.f64 (fma.f64 beta -2 -4) 3) 1/16)) (pow.f64 alpha 3)))
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1
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1
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(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 -2 beta -4) (.f64 alpha alpha)) (fma.f64 -1/16 (/.f64 (pow.f64 (fma.f64 -2 beta -4) 3) (pow.f64 alpha 4)) (.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 beta -4) 2) (pow.f64 alpha 3))))) (/.f64 1/2 alpha))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 2) (pow.f64 alpha 3)) (.f64 -1/16 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 3) (pow.f64 alpha 4)))) (fma.f64 -1/4 (/.f64 (fma.f64 beta -2 -4) (.f64 alpha alpha)) (/.f64 -1/2 alpha)))
(+.f64 (fma.f64 -1/16 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 3) (pow.f64 alpha 4)) (/.f64 -1/8 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 beta -2 -4) 2)))) (fma.f64 (/.f64 (fma.f64 beta -2 -4) alpha) (/.f64 -1/4 alpha) (/.f64 -1/2 alpha)))
(/.f64 -1/2 alpha)
(-.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (.f64 -1/4 (/.f64 (fma.f64 -2 beta -4) (.f64 alpha alpha))) (/.f64 1/2 alpha))
(fma.f64 -1/4 (/.f64 (fma.f64 beta -2 -4) (*.f64 alpha alpha)) (/.f64 -1/2 alpha))
(fma.f64 (/.f64 (fma.f64 beta -2 -4) alpha) (/.f64 -1/4 alpha) (/.f64 -1/2 alpha))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) (pow.f64 alpha 2))) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 3)))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 -2 beta -4) (.f64 alpha alpha)) (.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 beta -4) 2) (pow.f64 alpha 3)))) (/.f64 1/2 alpha))
(fma.f64 -1/4 (/.f64 (fma.f64 beta -2 -4) (*.f64 alpha alpha)) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 2) (pow.f64 alpha 3)) (/.f64 -1/2 alpha)))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 beta) 4) (pow.f64 alpha 2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 3) (pow.f64 alpha 4))) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 beta) 4) 2) (pow.f64 alpha 3))))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 -2 beta -4) (.f64 alpha alpha)) (fma.f64 -1/16 (/.f64 (pow.f64 (fma.f64 -2 beta -4) 3) (pow.f64 alpha 4)) (.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 beta -4) 2) (pow.f64 alpha 3))))) (/.f64 1/2 alpha))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 2) (pow.f64 alpha 3)) (.f64 -1/16 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 3) (pow.f64 alpha 4)))) (fma.f64 -1/4 (/.f64 (fma.f64 beta -2 -4) (.f64 alpha alpha)) (/.f64 -1/2 alpha)))
(+.f64 (fma.f64 -1/16 (/.f64 (pow.f64 (fma.f64 beta -2 -4) 3) (pow.f64 alpha 4)) (/.f64 -1/8 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 beta -2 -4) 2)))) (fma.f64 (/.f64 (fma.f64 beta -2 -4) alpha) (/.f64 -1/4 alpha) (/.f64 -1/2 alpha)))
(/.f64 1 (-.f64 (*.f64 -2 alpha) 4))
(/.f64 1 (fma.f64 -2 alpha -4))
(+.f64 (.f64 2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))) (/.f64 1 (-.f64 (*.f64 -2 alpha) 4)))
(fma.f64 2 (/.f64 beta (pow.f64 (fma.f64 -2 alpha -4) 2)) (/.f64 1 (fma.f64 -2 alpha -4)))
(+.f64 (.f64 4 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3))) (+.f64 (.f64 2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))) (/.f64 1 (-.f64 (*.f64 -2 alpha) 4))))
(fma.f64 4 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 -2 alpha -4) 3)) (fma.f64 2 (/.f64 beta (pow.f64 (fma.f64 -2 alpha -4) 2)) (/.f64 1 (fma.f64 -2 alpha -4))))
(fma.f64 4 (/.f64 beta (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 3) beta)) (fma.f64 2 (/.f64 beta (pow.f64 (fma.f64 -2 alpha -4) 2)) (/.f64 1 (fma.f64 -2 alpha -4))))
(+.f64 (.f64 4 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3))) (+.f64 (.f64 2 (/.f64 beta (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2))) (+.f64 (/.f64 1 (-.f64 (.f64 -2 alpha) 4)) (.f64 8 (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (*.f64 -2 alpha) 4) 4))))))
(fma.f64 4 (/.f64 (.f64 beta beta) (pow.f64 (fma.f64 -2 alpha -4) 3)) (+.f64 (fma.f64 2 (/.f64 beta (pow.f64 (fma.f64 -2 alpha -4) 2)) (/.f64 1 (fma.f64 -2 alpha -4))) (.f64 8 (/.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 -2 alpha -4) 4)))))
(fma.f64 4 (/.f64 beta (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 3) beta)) (fma.f64 2 (/.f64 beta (pow.f64 (fma.f64 -2 alpha -4) 2)) (fma.f64 8 (/.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 -2 alpha -4) 4)) (/.f64 1 (fma.f64 -2 alpha -4)))))
(/.f64 -1/2 beta)
(-.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (.f64 -1/4 (/.f64 (fma.f64 -2 alpha -4) (.f64 beta beta))) (/.f64 1/2 beta))
(fma.f64 -1/4 (/.f64 (fma.f64 -2 alpha -4) (*.f64 beta beta)) (/.f64 -1/2 beta))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) (pow.f64 beta 3))) (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) (pow.f64 beta 2)))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 2) (pow.f64 beta 3)) (.f64 -1/4 (/.f64 (fma.f64 -2 alpha -4) (.f64 beta beta)))) (/.f64 1/2 beta))
(fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 2) (pow.f64 beta 3)) (fma.f64 -1/4 (/.f64 (fma.f64 -2 alpha -4) (*.f64 beta beta)) (/.f64 -1/2 beta)))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) (pow.f64 beta 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3) (pow.f64 beta 4))) (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) (pow.f64 beta 2))))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 2) (pow.f64 beta 3)) (fma.f64 -1/16 (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 3) (pow.f64 beta 4)) (.f64 -1/4 (/.f64 (fma.f64 -2 alpha -4) (.f64 beta beta))))) (/.f64 1/2 beta))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 2) (pow.f64 beta 3)) (fma.f64 -1/4 (/.f64 (fma.f64 -2 alpha -4) (.f64 beta beta)) (.f64 -1/16 (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 3) (pow.f64 beta 4))))) (/.f64 -1/2 beta))
(+.f64 (fma.f64 -1/4 (/.f64 (fma.f64 -2 alpha -4) (*.f64 beta beta)) (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 3) (/.f64 (pow.f64 beta 4) -1/16))) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 2) (pow.f64 beta 3)) (/.f64 -1/2 beta)))
(/.f64 -1/2 beta)
(-.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (.f64 -1/4 (/.f64 (fma.f64 -2 alpha -4) (.f64 beta beta))) (/.f64 1/2 beta))
(fma.f64 -1/4 (/.f64 (fma.f64 -2 alpha -4) (*.f64 beta beta)) (/.f64 -1/2 beta))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) (pow.f64 beta 3))) (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) (pow.f64 beta 2)))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 2) (pow.f64 beta 3)) (.f64 -1/4 (/.f64 (fma.f64 -2 alpha -4) (.f64 beta beta)))) (/.f64 1/2 beta))
(fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 2) (pow.f64 beta 3)) (fma.f64 -1/4 (/.f64 (fma.f64 -2 alpha -4) (*.f64 beta beta)) (/.f64 -1/2 beta)))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 2) (pow.f64 beta 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 -2 alpha) 4) 3) (pow.f64 beta 4))) (.f64 -1/4 (/.f64 (-.f64 (.f64 -2 alpha) 4) (pow.f64 beta 2))))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 2) (pow.f64 beta 3)) (fma.f64 -1/16 (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 3) (pow.f64 beta 4)) (.f64 -1/4 (/.f64 (fma.f64 -2 alpha -4) (.f64 beta beta))))) (/.f64 1/2 beta))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 2) (pow.f64 beta 3)) (fma.f64 -1/4 (/.f64 (fma.f64 -2 alpha -4) (.f64 beta beta)) (.f64 -1/16 (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 3) (pow.f64 beta 4))))) (/.f64 -1/2 beta))
(+.f64 (fma.f64 -1/4 (/.f64 (fma.f64 -2 alpha -4) (*.f64 beta beta)) (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 3) (/.f64 (pow.f64 beta 4) -1/16))) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -2 alpha -4) 2) (pow.f64 beta 3)) (/.f64 -1/2 beta)))

prune133.0ms (3.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	121	4	125

Error

0.0b

Counts

125 → 4

Alt Table

Status	Error	Program
✓	16.3b	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
▶	36.3b	(fma.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (fma.f64 (+.f64 alpha beta) -2 -4)) (neg.f64 (-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)))
	45.1b	(/.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)) alpha)
✓	16.6b	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)

Compiler

Compiled 3859 to 2803 computations (27.4% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)
✓	0.0b	(/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4))
✓	0.1b	(/.f64 (sqrt.f64 alpha) (fma.f64 (+.f64 alpha beta) -2 -4))
✓	16.5b	(fma.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (fma.f64 (+.f64 alpha beta) -2 -4)) (neg.f64 (-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)))

series23.0ms (0.7%)

Counts

4 → 76

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	beta	@	0	(/.f64 (sqrt.f64 alpha) (fma.f64 (+.f64 alpha beta) -2 -4))
2.0ms	alpha	@	inf	(fma.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (fma.f64 (+.f64 alpha beta) -2 -4)) (neg.f64 (-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)))
2.0ms	alpha	@	-inf	(fma.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (fma.f64 (+.f64 alpha beta) -2 -4)) (neg.f64 (-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)))
1.0ms	alpha	@	0	(fma.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (fma.f64 (+.f64 alpha beta) -2 -4)) (neg.f64 (-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)))
1.0ms	alpha	@	0	(/.f64 (sqrt.f64 alpha) (fma.f64 (+.f64 alpha beta) -2 -4))

rewrite163.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`prod-diff_binary64`
190×	`egg-rr`
167×	`add-sqr-sqrt_binary64`
157×	`*-un-lft-identity_binary64`
157×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	72
1	359	65
2	4464	65

Stop Event

1×	node limit

Counts

4 → 310

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) (/.f64 alpha (fma.f64 (+.f64 alpha beta) -2 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) (/.f64 alpha (fma.f64 (+.f64 alpha beta) -2 -4))) (fma.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) 1 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) (/.f64 alpha (fma.f64 (+.f64 alpha beta) -2 -4))) (fma.f64 -1 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) (/.f64 alpha (fma.f64 (+.f64 alpha beta) -2 -4))) (fma.f64 1 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) (/.f64 alpha (fma.f64 (+.f64 alpha beta) -2 -4))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) 2))) (cbrt.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2)) (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) (/.f64 alpha (fma.f64 (+.f64 alpha beta) -2 -4))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) 2)) (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) (/.f64 alpha (fma.f64 (+.f64 alpha beta) -2 -4))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2))) (sqrt.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2)) (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) (/.f64 alpha (fma.f64 (+.f64 alpha beta) -2 -4))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2)))) (sqrt.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2)) (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) (/.f64 alpha (fma.f64 (+.f64 alpha beta) -2 -4))) (fma.f64 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2) -1 (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) -1/2)))))) 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simplify68.0ms (2%)

Algorithm

1×	egg-herbie

Rules

886×	`fma-def_binary64`
764×	`associate-/l*_binary64`
170×	`distribute-rgt-in_binary64`
168×	`distribute-lft-in_binary64`
164×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	2485
1	649	2364
2	2268	2271

Stop Event

1×	node limit

Counts

386 → 410

Calls

Call 1

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

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

prune501.0ms (14.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	410	0	410
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	410	4	414

Error

0.0b

Counts

414 → 4

Alt Table

Status	Error	Program
✓	16.3b	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
✓	36.3b	(fma.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (fma.f64 (+.f64 alpha beta) -2 -4)) (neg.f64 (-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)))
▶	45.1b	(/.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)) alpha)
✓	16.6b	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)

Compiler

Compiled 21363 to 13843 computations (35.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)) alpha)
✓	0.0b	(fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))

series9.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	beta	@	-inf	(/.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)) alpha)
1.0ms	alpha	@	0	(/.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)) alpha)
1.0ms	beta	@	0	(fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))
1.0ms	beta	@	-inf	(fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))
1.0ms	alpha	@	inf	(/.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)) alpha)

rewrite53.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

465×	`log-prod_binary64`
199×	`expm1-udef_binary64`
199×	`log1p-udef_binary64`
196×	`pow1/3_binary64`
179×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	230	27
2	2623	27

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 beta -2 -4) -1/4) (*.f64 1/2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 beta) (*.f64 (fma.f64 beta -2 -4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 beta) 1) (*.f64 (fma.f64 beta -2 -4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)))) (cbrt.f64 (exp.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))) (pow.f64 (cbrt.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))) 2) (cbrt.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))) (sqrt.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 beta) 3) (pow.f64 (*.f64 (fma.f64 beta -2 -4) -1/4) 3)) (fma.f64 (*.f64 1/2 beta) (*.f64 1/2 beta) (-.f64 (*.f64 (pow.f64 (fma.f64 beta -2 -4) 2) 1/16) (*.f64 (*.f64 1/2 beta) (*.f64 (fma.f64 beta -2 -4) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/2 beta) (*.f64 1/2 beta)) (*.f64 (pow.f64 (fma.f64 beta -2 -4) 2) 1/16)) (-.f64 (*.f64 1/2 beta) (*.f64 (fma.f64 beta -2 -4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 beta -2 -4)) (exp.f64 (*.f64 1/2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 beta -2 -4) -1/4))) (exp.f64 (*.f64 1/2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/2 beta)) (+.f64 1 (expm1.f64 (*.f64 (fma.f64 beta -2 -4) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 beta (*.f64 (fma.f64 beta -2 -4) -1/4))))))))

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

simplify39.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

430×	`div-sub_binary64`
329×	`associate-+r+_binary64`
325×	`associate-+l+_binary64`
280×	`associate-r_binary64`
258×	`fma-def_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	18	261
1	31	261
2	42	261
3	57	261
4	98	261
5	141	261
6	404	261
7	1991	198
8	4304	198

Stop Event

1×	node limit

Counts

103 → 76

Calls

Call 1

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

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

prune48.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	76	4	80

Error

0.0b

Counts

80 → 4

Alt Table

Status	Error	Program
	45.1b	(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
✓	16.3b	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
✓	36.3b	(fma.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (fma.f64 (+.f64 alpha beta) -2 -4)) (neg.f64 (-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)))
✓	16.6b	(fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)

Compiler

Compiled 1346 to 1040 computations (22.7% saved)

regimes124.0ms (3.6%)

Accuracy

Total -61.6b remaining (-16268%)

Threshold costs -61.6b (-16268%)

Counts

30 → 2

Compiler

Compiled 444 to 290 computations (34.7% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Calls

1 calls:

0.0ms

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

Steps

Iters	Point		Range
-1.0	∈ [	-1.0	,	-0.947246313536671	]

Compiler

Compiled 20 to 15 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	46
1	32	46
2	38	46
3	42	46
4	44	46

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2))

Outputs

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

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

end63.0ms (1.8%)

Stop Event

1×

fuel

Compiler

Compiled 125 to 76 computations (39.2% saved)

Details

analyze90.0ms (2.6%)

sample1.5s (44%)

preprocess33.0ms (1%)

simplify30.0ms (0.9%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

series18.0ms (0.5%)

rewrite63.0ms (1.8%)

simplify61.0ms (1.7%)

prune261.0ms (7.5%)

localize8.0ms (0.2%)

series10.0ms (0.3%)

rewrite53.0ms (1.5%)

simplify58.0ms (1.7%)

prune133.0ms (3.8%)

localize13.0ms (0.4%)

series23.0ms (0.7%)

rewrite163.0ms (4.7%)

simplify68.0ms (2%)

prune501.0ms (14.5%)

localize7.0ms (0.2%)

series9.0ms (0.2%)

rewrite53.0ms (1.5%)

simplify39.0ms (1.1%)

prune48.0ms (1.4%)

regimes124.0ms (3.6%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end63.0ms (1.8%)

Profiling