Details

analyze75.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	50%	0.1%	0%	50%	0%	2
0%	0%	50%	0.1%	0%	50%	0%	3
0%	0%	50%	0.1%	0%	50%	0%	4
0%	0%	50%	0.1%	0%	50%	0%	5
16.7%	6.2%	31.2%	0.1%	0%	62.4%	0%	6
25%	9.4%	28.1%	0.1%	0%	62.4%	0%	7
45%	14%	17.2%	0.1%	0%	68.7%	0%	8
47.5%	14.8%	16.4%	0.1%	0%	68.7%	0%	9
63.4%	17.6%	10.1%	0.1%	0.4%	71.8%	0%	10
66.4%	18.1%	9.2%	0.1%	0.8%	71.8%	0%	11
78.2%	19.6%	5.5%	0.1%	1.5%	73.4%	0%	12

Compiler

Compiled 23 to 20 computations (13% saved)

sample1.8s (19.4%)

Results

1.6s	8256×	body	256	valid
96.0ms	609×	body	256	infinite
71.0ms	595×	body	256	invalid

Bogosity

preprocess79.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1272×	`associate-+l+`
1044×	`fma-def`
1038×	`+-commutative`
716×	`fma-neg`
710×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	94
1	54	82
2	148	74
3	392	74
4	956	74
5	1785	74
6	3993	74
7	5838	74
8	7841	74
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))

(*.f64 (-.f64 rand (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand (/.f64 1 3))))) a)))

Outputs
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(.f64 (-.f64 rand (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand (/.f64 1 3))))) a)))
(.f64 (+.f64 rand -1/3) (+.f64 1 (.f64 a (/.f64 1 (sqrt.f64 (*.f64 9 (+.f64 rand -1/3)))))))
(.f64 (+.f64 rand -1/3) (+.f64 1 (/.f64 a (sqrt.f64 (+.f64 (.f64 9 rand) -3)))))
(*.f64 (+.f64 rand -1/3) (+.f64 1 (/.f64 a (sqrt.f64 (fma.f64 9 rand -3)))))
(*.f64 (-.f64 rand 1/3) (+.f64 1 (/.f64 a (sqrt.f64 (fma.f64 9 rand -3)))))

Compiler

Compiled 24 to 21 computations (12.5% saved)

simplify166.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2016×	`fma-def`
1040×	`associate-+l+`
954×	`associate--r+`
884×	`distribute-lft-in`
662×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	34	41
2	87	37
3	231	37
4	505	37
5	931	37
6	2061	37
7	3260	37
8	5248	37
9	6476	37
10	6567	37
11	6837	37
12	6845	37
13	7398	37
14	7398	37

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))

Outputs
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))

eval1.0ms (0%)

Compiler: Compiled 65 to 53 computations (18.5% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

0.1b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
▶	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize62.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
✓	0.1b	(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
✓	0.2b	(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)
✓	0.3b	(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))

Compiler

Compiled 67 to 54 computations (19.4% saved)

series13.0ms (0.1%)

Counts

4 → 42

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	rand	@	0	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
1.0ms	a	@	-inf	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
1.0ms	rand	@	0	(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)
1.0ms	a	@	-inf	(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
1.0ms	a	@	0	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))

rewrite129.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`distribute-lft-in`
1136×	`associate-/r*`
604×	`associate-/l*`
390×	`associate-/r/`
316×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	323	98
2	4181	94

Stop Event

1×	node limit

Counts

4 → 317

Calls

Call 1

Inputs
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)
(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (+.f64 (.f64 9 a) -3))) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (+.f64 (.f64 9 a) -3) 1/4) -1) (pow.f64 (pow.f64 (+.f64 (.f64 9 a) -3) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)) -1) (pow.f64 (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 9 a) -3) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (+.f64 (/.f64 (.f64 rand rand) (/.f64 (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (/.f64 1/9 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 rand) (/.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 rand) (/.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 rand) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 rand) (/.f64 (/.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (cbrt.f64 (sqrt.f64 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 rand) (/.f64 (/.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (/.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 (cbrt.f64 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (/.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 rand)) (/.f64 (/.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 (sqrt.f64 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))) (/.f64 (/.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand -1) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 rand) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand 1) (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)) (pow.f64 (+.f64 (.f64 9 a) -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (cbrt.f64 (+.f64 (.f64 9 a) -3))) (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 rand) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 (.f64 9 a) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (pow.f64 1 1/2)) (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (pow.f64 9 1/2)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 rand -1) 1) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 rand -1) (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)) (neg.f64 (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 rand -1) (sqrt.f64 (+.f64 a -1/3))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 rand -1) (cbrt.f64 (+.f64 (.f64 9 a) -3))) (neg.f64 (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 rand -1) -1) (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 rand -1) (sqrt.f64 (.f64 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-1/3)))) (fma.f64 a a -1/9)) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (-.f64 1 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (fma.f64 a a -1/9)) (+.f64 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))))

simplify189.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

978×	`associate-/l/`
848×	`associate-/l*`
622×	`associate-r`
574×	`*-commutative`
496×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	819	16933
1	2038	15987

Stop Event

1×	node limit

Counts

359 → 502

Calls

Call 1

Inputs
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3)))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1)
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(.f64 -1 (/.f64 1 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 1/3)
(.f64 (/.f64 1 (cbrt.f64 (+.f64 (.f64 9 a) -3))) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) -1)
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 9 a) -3) 1/4) -1) (pow.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1) 1/3)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)) -1) (pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) -1))
(pow.f64 (+.f64 (*.f64 9 a) -3) -1/2)
(pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) -1)
(pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 3) 1/3)
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(exp.f64 (.f64 (log.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3)))) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 0)
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (+.f64 (/.f64 (.f64 rand rand) (/.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (/.f64 1/9 (+.f64 a -1/3)))) 1))
(/.f64 1 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) rand))
(/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1)
(/.f64 (sqrt.f64 rand) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)))
(/.f64 (cbrt.f64 rand) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 rand) 2)))
(/.f64 (cbrt.f64 rand) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (cbrt.f64 (sqrt.f64 rand))))
(/.f64 (cbrt.f64 rand) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (cbrt.f64 rand)))
(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)))
(/.f64 -1 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3) rand))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 (cbrt.f64 rand))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 rand)) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 (sqrt.f64 rand))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))) (/.f64 (/.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))))
(/.f64 (.f64 rand -1) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 (.f64 -1 rand) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 (/.f64 rand 1) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)) (pow.f64 (+.f64 (.f64 9 a) -3) 1/4))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) (pow.f64 9 1/2))
(/.f64 (/.f64 rand (cbrt.f64 (+.f64 (.f64 9 a) -3))) (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (neg.f64 rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 rand (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 (.f64 9 a) -3)))
(/.f64 (/.f64 rand (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3))))
(/.f64 (/.f64 rand (pow.f64 1 1/2)) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (pow.f64 9 1/2)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 rand (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)) 1/2))
(/.f64 (/.f64 (.f64 rand -1) 1) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 (/.f64 (.f64 rand -1) (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)) (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 (/.f64 (*.f64 rand -1) (sqrt.f64 (+.f64 a -1/3))) -3)
(/.f64 (/.f64 (.f64 rand -1) (cbrt.f64 (+.f64 (.f64 9 a) -3))) (neg.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (.f64 rand -1) -1) (.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (.f64 rand -1) (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 (/.f64 (.f64 rand -1) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 (/.f64 (.f64 rand -1) (neg.f64 (pow.f64 (+.f64 (.f64 9 a) -3) 1/4))) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(/.f64 (/.f64 (*.f64 rand -1) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)
(/.f64 (/.f64 (.f64 rand -1) (neg.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (.f64 -1 rand) 1) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 (/.f64 (.f64 -1 rand) (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)) (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 (/.f64 (*.f64 -1 rand) (sqrt.f64 (+.f64 a -1/3))) -3)
(/.f64 (/.f64 (.f64 -1 rand) (cbrt.f64 (+.f64 (.f64 9 a) -3))) (neg.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (.f64 -1 rand) -1) (.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (.f64 -1 rand) (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 (/.f64 (.f64 -1 rand) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 (/.f64 (.f64 -1 rand) (neg.f64 (pow.f64 (+.f64 (.f64 9 a) -3) 1/4))) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(/.f64 (/.f64 (*.f64 -1 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)
(/.f64 (/.f64 (.f64 -1 rand) (neg.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (/.f64 rand 1) 1) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 rand 1) 3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (/.f64 rand 1) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3))))
(/.f64 (/.f64 (/.f64 rand 1) (pow.f64 1 1/2)) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 rand 1) (pow.f64 9 1/2)) (sqrt.f64 (+.f64 a -1/3)))
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(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)) 1) (pow.f64 (+.f64 (.f64 9 a) -3) 1/4))
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(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)) (sqrt.f64 (pow.f64 (+.f64 (.f64 9 a) -3) 1/4))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)))) (sqrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
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(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (.f64 9 a) -3))) 1) (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (.f64 9 a) -3))) (sqrt.f64 (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (.f64 9 a) -3))) (cbrt.f64 (pow.f64 (+.f64 (.f64 9 a) -3) 1/4))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (.f64 9 a) -3))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)))) (cbrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 3))
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(/.f64 (/.f64 (neg.f64 rand) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 (/.f64 (neg.f64 rand) (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)) (neg.f64 (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)))
(/.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))) -3)
(/.f64 (/.f64 (neg.f64 rand) (cbrt.f64 (+.f64 (.f64 9 a) -3))) (neg.f64 (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (neg.f64 rand) -1) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 (/.f64 (neg.f64 rand) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 (/.f64 (neg.f64 rand) (neg.f64 (pow.f64 (+.f64 (.f64 9 a) -3) 1/4))) (pow.f64 (+.f64 (.f64 9 a) -3) 1/4))
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(/.f64 (/.f64 (neg.f64 rand) (neg.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)))) (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) 3)
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(sqrt.f64 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
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(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1)
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(.f64 1 (neg.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 3 (sqrt.f64 (+.f64 a -1/3)))
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(*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 9 1/2))
(.f64 (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 (*.f64 9 a) -3)))
(.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
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(*.f64 (pow.f64 9 1/2) (sqrt.f64 (+.f64 a -1/3)))
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(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) 3)
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(/.f64 1 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 1)
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(/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)
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(/.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 9)))
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(/.f64 (/.f64 (.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) 1) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))
(/.f64 (/.f64 (.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (.f64 (fma.f64 a a -1/9) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 1) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))
(/.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3)) 1) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3)) (sqrt.f64 (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (sqrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3)) (.f64 (cbrt.f64 (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (cbrt.f64 (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))) (cbrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 a -1/3)) 1) (+.f64 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 a -1/3)) (sqrt.f64 (+.f64 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))) (sqrt.f64 (+.f64 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 a -1/3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (cbrt.f64 (+.f64 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))) (cbrt.f64 (+.f64 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))
(/.f64 (/.f64 (.f64 (fma.f64 a a -1/9) (-.f64 1 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (+.f64 a 1/3)) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))) (+.f64 a 1/3)) (+.f64 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))) (+.f64 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (fma.f64 a a -1/9)) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (+.f64 a 1/3))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (fma.f64 a a -1/9)) (+.f64 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (+.f64 a 1/3))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))
(fma.f64 1 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 (+.f64 a -1/3) 1 (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))

Outputs
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3)))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (*.f64 1/3 (sqrt.f64 -3)))
(fma.f64 1/3 (sqrt.f64 -3) (/.f64 -3/2 (/.f64 (sqrt.f64 -3) a)))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 a a))) (.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (/.f64 -1/6 (/.f64 (sqrt.f64 -3) (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 a a))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(fma.f64 -1/6 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (pow.f64 a 3))) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 a a))) (*.f64 1/3 (sqrt.f64 -3)))))
(fma.f64 -1/6 (.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (pow.f64 a 3)) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (/.f64 -1/6 (/.f64 (sqrt.f64 -3) (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 a a)))))))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(.f64 1/3 (.f64 (sqrt.f64 -3) rand))
(.f64 (sqrt.f64 -3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (/.f64 (.f64 (*.f64 -3/2 a) rand) (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 (.f64 a a) rand))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -1/6 (.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (.f64 a (.f64 a rand))) (/.f64 (.f64 (.f64 -3/2 a) rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -1/6 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (.f64 (pow.f64 a 3) rand))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 (.f64 a a) rand)))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -1/6 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) (.f64 (pow.f64 a 3) rand))) (fma.f64 -1/6 (.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (.f64 a (.f64 a rand))) (/.f64 (.f64 (*.f64 -3/2 a) rand) (sqrt.f64 -3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 1/3 rand))
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))
(fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3)))
(fma.f64 3 (sqrt.f64 -1/3) (/.f64 (*.f64 a 3/2) (sqrt.f64 -1/3)))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(fma.f64 -3/8 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (.f64 3 (sqrt.f64 -1/3))))
(+.f64 (fma.f64 3 (sqrt.f64 -1/3) (/.f64 (.f64 a 3/2) (sqrt.f64 -1/3))) (.f64 9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))))
(fma.f64 -3/8 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (.f64 3 (sqrt.f64 -1/3)))))
(+.f64 (.f64 9/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3))) (fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3 (sqrt.f64 -1/3) (/.f64 (*.f64 a 3/2) (sqrt.f64 -1/3)))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1))
(+.f64 -1/3 (.f64 (.f64 (sqrt.f64 -3) rand) -1/9))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3))))) (.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1)))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (.f64 (*.f64 (sqrt.f64 -3) rand) -1/9)))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3))))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1) (.f64 (.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))))))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 (.f64 (.f64 1/18 rand) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3))) (+.f64 -1/3 (.f64 (.f64 (sqrt.f64 -3) rand) -1/9))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3))))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1) (.f64 (.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand) (.f64 1/18 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 (.f64 (.f64 1/18 rand) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3))) (+.f64 -1/3 (.f64 (.f64 (sqrt.f64 -3) rand) -1/9)))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) 1)
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(*.f64 1 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1)
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(.f64 -1 (/.f64 1 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 -1 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 1/3)
(/.f64 -1 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 (.f64 9 a) -3))) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))))
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (fma.f64 a 9 -3)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) -1)
(/.f64 -1 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 9 a) -3) 1/4) -1) (pow.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) -1))
(pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) -2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) -2)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1) 1/3)
(/.f64 -1 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)) -1) (pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) -1))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (/.f64 1 (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(pow.f64 (+.f64 (*.f64 9 a) -3) -1/2)
(pow.f64 (fma.f64 9 a -3) -1/2)
(pow.f64 (fma.f64 a 9 -3) -1/2)
(pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) -1)
(/.f64 -1 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1)
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 2)
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 3)
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 3) 1/3)
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 3))
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(exp.f64 (.f64 (log.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3)))) -1))
(/.f64 -1 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 1))
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand -1))
(*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 0)
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand -1))
(*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 1)
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand -1))
(*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (+.f64 (/.f64 (.f64 rand rand) (/.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (/.f64 1/9 (+.f64 a -1/3)))) 1))
(-.f64 (/.f64 1 (-.f64 1 (.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (+.f64 1 (.f64 (/.f64 (.f64 rand rand) (-.f64 1 (.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (/.f64 1/9 (+.f64 a -1/3)))))
(+.f64 (/.f64 (-.f64 1 (.f64 rand (/.f64 (.f64 rand 1/9) (+.f64 a -1/3)))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) -1)
(/.f64 1 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) rand))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1)
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand -1))
(*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(/.f64 (sqrt.f64 rand) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)))
(/.f64 (sqrt.f64 rand) (/.f64 3 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))
(.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 rand) (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (cbrt.f64 rand) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 rand) 2)))
(.f64 (/.f64 (cbrt.f64 rand) (.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (cbrt.f64 rand) 2))
(.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (cbrt.f64 rand) (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (cbrt.f64 rand) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (cbrt.f64 (sqrt.f64 rand))))
(*.f64 (/.f64 (cbrt.f64 rand) (/.f64 3 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (sqrt.f64 rand)))
(/.f64 (*.f64 (cbrt.f64 rand) (cbrt.f64 (sqrt.f64 rand))) (/.f64 3 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (cbrt.f64 rand) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (cbrt.f64 rand)))
(.f64 (/.f64 (cbrt.f64 rand) (.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (cbrt.f64 rand) 2))
(.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (cbrt.f64 rand) (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)))
(.f64 (/.f64 (cbrt.f64 rand) (.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (cbrt.f64 rand) 2))
(.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (cbrt.f64 rand) (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 -1 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3) rand))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 (cbrt.f64 rand))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 3 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (cbrt.f64 rand)))
(.f64 (sqrt.f64 (cbrt.f64 rand)) (.f64 (/.f64 (fabs.f64 (cbrt.f64 rand)) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand))))
(.f64 (fabs.f64 (cbrt.f64 rand)) (.f64 (/.f64 (fabs.f64 (cbrt.f64 rand)) (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 rand)))
(/.f64 (sqrt.f64 (sqrt.f64 rand)) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 (sqrt.f64 rand))))
(/.f64 (sqrt.f64 (sqrt.f64 rand)) (/.f64 (/.f64 3 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (sqrt.f64 rand))))
(.f64 (sqrt.f64 (sqrt.f64 rand)) (.f64 (/.f64 (sqrt.f64 (sqrt.f64 rand)) (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 rand)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))) (/.f64 (/.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))))
(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand))) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (/.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)))))
(/.f64 (.f64 rand -1) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 -1 rand) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand 1) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
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(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)) (pow.f64 (+.f64 (.f64 9 a) -3) 1/4))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) (pow.f64 9 1/2))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (cbrt.f64 (+.f64 (.f64 9 a) -3))) (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
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(/.f64 (neg.f64 rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
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(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))
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(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 rand (.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 rand (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3))))
(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))))
(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 rand (pow.f64 1 1/2)) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (pow.f64 9 1/2)) (sqrt.f64 (+.f64 a -1/3)))
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(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
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(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 rand -1) (sqrt.f64 (+.f64 a -1/3))) -3)
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 rand (.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (.f64 rand -1) -1) (.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (.f64 rand -1) (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (.f64 rand -1) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (.f64 rand -1) (neg.f64 (pow.f64 (+.f64 (.f64 9 a) -3) 1/4))) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 rand -1) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (.f64 rand -1) (neg.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 rand (.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (.f64 -1 rand) 1) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (.f64 -1 rand) (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)) (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 -1 rand) (sqrt.f64 (+.f64 a -1/3))) -3)
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (.f64 -1 rand) (cbrt.f64 (+.f64 (.f64 9 a) -3))) (neg.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 rand (.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (.f64 -1 rand) -1) (.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (.f64 -1 rand) (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (.f64 -1 rand) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (.f64 -1 rand) (neg.f64 (pow.f64 (+.f64 (.f64 9 a) -3) 1/4))) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 -1 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (.f64 -1 rand) (neg.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 rand (.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (/.f64 rand 1) 1) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 rand 1) 3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 rand 1) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3))))
(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))))
(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (/.f64 rand 1) (pow.f64 1 1/2)) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 rand 1) (pow.f64 9 1/2)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))))
(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)) 1) (pow.f64 (+.f64 (.f64 9 a) -3) 1/4))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
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(/.f64 (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 1/4)) (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)) (.f64 (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))))
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(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (.f64 9 a) -3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)))) (sqrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 rand (.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 3))
(/.f64 (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)) (*.f64 (sqrt.f64 3) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 3)))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (.f64 9 a) -3))) 1) (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 rand (.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (.f64 9 a) -3))) (sqrt.f64 (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 rand (.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (.f64 9 a) -3))) (cbrt.f64 (pow.f64 (+.f64 (.f64 9 a) -3) 1/4))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 1/4))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 1/4)))
(/.f64 rand (.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (.f64 9 a) -3))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 9 a) -3)))) (cbrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 rand (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 rand (.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 3))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (*.f64 (cbrt.f64 3) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 rand (.f64 (cbrt.f64 3) (.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (.f64 9 a) -3))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (cbrt.f64 (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (cbrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
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(.f64 (+.f64 1 (pow.f64 (.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 3)) (/.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (-.f64 (fma.f64 rand (/.f64 (.f64 rand 1/9) (+.f64 a -1/3)) 1) (.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 3)) (fma.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)) (-.f64 1 (.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(.f64 (+.f64 1 (pow.f64 (.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 3)) (/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))) (-.f64 (fma.f64 rand (/.f64 (.f64 rand 1/9) (+.f64 a -1/3)) 1) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 1)
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 2)
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 3)
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 3) 1/3)
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 2))
(fabs.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (+.f64 a -1/3)))
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))))
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 3))
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 3)))
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 1))
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(fma.f64 1 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(fma.f64 (+.f64 a -1/3) 1 (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))

localize55.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 9 a) -3)
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
✓	0.1b	(sqrt.f64 (+.f64 (*.f64 9 a) -3))
✓	0.2b	(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))

Compiler

Compiled 57 to 44 computations (22.8% saved)

series45.0ms (0.5%)

Counts

4 → 50

Calls

18 calls:

Time	Variable		Point	Expression
37.0ms	a	@	-inf	(sqrt.f64 (+.f64 (*.f64 9 a) -3))
1.0ms	rand	@	0	(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))
1.0ms	a	@	inf	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
1.0ms	a	@	-inf	(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))
1.0ms	a	@	inf	(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))

rewrite109.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1298×	`distribute-lft-in`
1258×	`associate-/r*`
842×	`associate-/l*`
438×	`associate-/r/`
352×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	353	76
2	4640	76

Stop Event

1×	node limit

Counts

4 → 247

Calls

Call 1

Inputs
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))
(sqrt.f64 (+.f64 (*.f64 9 a) -3))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
(+.f64 (*.f64 9 a) -3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 (/.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 rand) (.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 rand) 2) (.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 rand) (/.f64 -1 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sqrt.f64 (fma.f64 9 a -3))) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (fma.f64 9 a -3))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 (fma.f64 9 a -3) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 9 a -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 rand (sqrt.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 rand (sqrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9))) (sqrt.f64 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 rand 1) (sqrt.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 rand 1) (sqrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9))) (sqrt.f64 (fma.f64 9 a 3)))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 9 a))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 9 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 a a) (/.f64 (fma.f64 9 a 3) 81)) (/.f64 9 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -3 (exp.f64 (log1p.f64 (.f64 9 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 9 a -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 9 a -3)) (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 9 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 9 a -3) 1/4) (.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) (cbrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 9 a -3)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (/.f64 1 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (fma.f64 9 a -3)) (pow.f64 (fma.f64 9 a -3) 1/4)) (pow.f64 (fma.f64 9 a -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 9 a 3)) (+.f64 (pow.f64 (.f64 9 a) 2) -9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))) (+.f64 -27 (.f64 729 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (+.f64 (pow.f64 (.f64 9 a) 2) -9)) (fma.f64 9 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (-.f64 (.f64 729 (pow.f64 a 3)) -27)) (+.f64 (pow.f64 (.f64 9 a) 2) (+.f64 9 (.f64 a -27))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) (-.f64 (.f64 (pow.f64 (.f64 9 a) 2) (pow.f64 (.f64 9 a) 2)) (.f64 (-.f64 9 (.f64 a -27)) (-.f64 9 (.f64 a -27))))) (+.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (.f64 a -27)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) (+.f64 (pow.f64 (pow.f64 (.f64 9 a) 2) 3) (pow.f64 (-.f64 9 (.f64 a -27)) 3))) (+.f64 (.f64 (pow.f64 (.f64 9 a) 2) (pow.f64 (.f64 9 a) 2)) (-.f64 (.f64 (-.f64 9 (.f64 a -27)) (-.f64 9 (.f64 a -27))) (.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (fma.f64 9 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3)))) (/.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))) (sqrt.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9)) (/.f64 (fma.f64 9 a 3) (sqrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3)))) (cbrt.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))))) (/.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))) (cbrt.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9)) (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9))) (/.f64 (fma.f64 9 a 3) (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 729 (pow.f64 a 3)) (.f64 729 (pow.f64 a 3))) 729) (.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))) (-.f64 (.f64 729 (pow.f64 a 3)) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (pow.f64 (.f64 9 a) 2)) (-.f64 -3 (.f64 9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (.f64 9 a) 2) (pow.f64 (.f64 9 a) 2)) 81) (.f64 (fma.f64 9 a 3) (+.f64 9 (pow.f64 (.f64 9 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -19683 (pow.f64 (.f64 729 (pow.f64 a 3)) 3)) (.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))) (+.f64 (.f64 (.f64 729 (pow.f64 a 3)) (.f64 729 (pow.f64 a 3))) (-.f64 729 (.f64 (.f64 729 (pow.f64 a 3)) -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (.f64 9 a) 2) 3) 729) (.f64 (fma.f64 9 a 3) (+.f64 (.f64 (pow.f64 (.f64 9 a) 2) (pow.f64 (.f64 9 a) 2)) (+.f64 81 (.f64 (pow.f64 (.f64 9 a) 2) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9)) (neg.f64 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) 1) (fma.f64 9 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (sqrt.f64 (fma.f64 9 a 3))) (sqrt.f64 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (.f64 (cbrt.f64 (fma.f64 9 a 3)) (cbrt.f64 (fma.f64 9 a 3)))) (cbrt.f64 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) 1) (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) (sqrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 9 a -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 a -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 9 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 9 a) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 9 a)) (sqrt.f64 (.f64 9 a)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 9 a)) 2) (cbrt.f64 (*.f64 9 a)) -3)))))

simplify249.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1386×	`associate-+r+`
1140×	`+-commutative`
702×	`associate-r`
598×	`associate-l`
560×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	691	13581
1	1845	13087
2	7374	13087

Stop Event

1×	node limit

Counts

297 → 386

Calls

Call 1

Inputs
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (.f64 rand (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))))
(.f64 -1/3 (+.f64 1 (.f64 rand (sqrt.f64 -1/3))))
(+.f64 (.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))
(+.f64 (.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
-3
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 0)
(+.f64 1 (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))
(-.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 (/.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) 1))
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)
(*.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(.f64 (sqrt.f64 rand) (.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(.f64 (pow.f64 (cbrt.f64 rand) 2) (.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))
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(/.f64 (/.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) 1) (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))
(/.f64 (/.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) (sqrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(/.f64 (/.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))
(pow.f64 (fma.f64 9 a -3) 1)
(pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))
(log.f64 (exp.f64 (fma.f64 9 a -3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 a -3))))
(cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3))
(expm1.f64 (log1p.f64 (fma.f64 9 a -3)))
(exp.f64 (log.f64 (fma.f64 9 a -3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(fma.f64 1 (*.f64 9 a) -3)
(fma.f64 (sqrt.f64 (.f64 9 a)) (sqrt.f64 (.f64 9 a)) -3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 9 a)) 2) (cbrt.f64 (.f64 9 a)) -3)

Outputs
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 -1/2 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 -1/2 (.f64 rand a)) (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/2 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (.f64 rand (.f64 a a)))) (.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/2 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 -1/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (.f64 a a)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (.f64 rand (.f64 a a)))) (fma.f64 rand (sqrt.f64 -1/3) (.f64 -1/2 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))))))))
(fma.f64 -1/2 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 -1/2 (.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (.f64 rand (.f64 a a))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 (.f64 -1/2 (.f64 rand (pow.f64 a 3))) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)) (sqrt.f64 -1/3)))))
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)))
(+.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (.f64 27/8 (/.f64 (.f64 a a) (sqrt.f64 -3))))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))))
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))))
(+.f64 (.f64 27/8 (/.f64 (.f64 a a) (sqrt.f64 -3))) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))))
(.f64 -1/3 (+.f64 1 (.f64 rand (sqrt.f64 -1/3))))
(+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3))))
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))
(+.f64 (.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (/.f64 (.f64 1/6 rand) (sqrt.f64 -1/3)))) a (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(+.f64 (.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (/.f64 (.f64 1/6 rand) (sqrt.f64 -1/3)))) a (fma.f64 (.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (/.f64 (.f64 -1/2 rand) (sqrt.f64 -1/3))) (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (fma.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(+.f64 (.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (/.f64 (.f64 1/6 rand) (sqrt.f64 -1/3)))) a (fma.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (fma.f64 (.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (/.f64 (.f64 -1/2 rand) (sqrt.f64 -1/3))) (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (/.f64 (.f64 rand 1/6) (/.f64 (sqrt.f64 -1/3) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)))) (fma.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3)))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3)))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
-3
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 0)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(+.f64 1 (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(-.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 1)
(+.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1)
(+.f64 (*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2)) 0)
(+.f64 0 (*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 (/.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) 1))
(-.f64 (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 1 (/.f64 (*.f64 (/.f64 rand (fma.f64 9 a -3)) rand) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))
(+.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(*.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(.f64 (sqrt.f64 rand) (.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(.f64 (pow.f64 (cbrt.f64 rand) 2) (.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))))
(.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (.f64 (/.f64 rand (fma.f64 9 a -3)) rand)))
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(.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (sqrt.f64 (fma.f64 9 a -3))))
(fma.f64 9 a -3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) (cbrt.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))
(fma.f64 9 a -3)
(.f64 (cbrt.f64 (fma.f64 9 a -3)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (fma.f64 9 a -3))))
(.f64 (cbrt.f64 (fma.f64 9 a -3)) (.f64 (sqrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) 4))
(.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (/.f64 1 (fma.f64 9 a 3)))
(/.f64 (+.f64 (.f64 (.f64 a a) 81) -9) (fma.f64 9 a 3))
(.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))
(.f64 (+.f64 -27 (.f64 (pow.f64 a 3) 729)) (/.f64 1 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 a 27) (.f64 (*.f64 a a) 81))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 (.f64 a a) 81) (*.f64 a 27))))
(.f64 (.f64 (sqrt.f64 (fma.f64 9 a -3)) (pow.f64 (fma.f64 9 a -3) 1/4)) (pow.f64 (fma.f64 9 a -3) 1/4))
(fma.f64 9 a -3)
(.f64 (.f64 (sqrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))
(.f64 (cbrt.f64 (fma.f64 9 a -3)) (.f64 (sqrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) 4))
(.f64 (/.f64 1 (fma.f64 9 a 3)) (+.f64 (pow.f64 (.f64 9 a) 2) -9))
(.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (/.f64 1 (fma.f64 9 a 3)))
(/.f64 (+.f64 (.f64 (.f64 a a) 81) -9) (fma.f64 9 a 3))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))) (+.f64 -27 (.f64 729 (pow.f64 a 3))))
(.f64 (+.f64 -27 (.f64 (pow.f64 a 3) 729)) (/.f64 1 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 a 27) (.f64 (*.f64 a a) 81))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 (.f64 a a) 81) (*.f64 a 27))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (+.f64 (pow.f64 (*.f64 9 a) 2) -9)) (fma.f64 9 a -3))
(fma.f64 9 a -3)
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (-.f64 (.f64 729 (pow.f64 a 3)) -27)) (+.f64 (pow.f64 (.f64 9 a) 2) (+.f64 9 (*.f64 a -27))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (fma.f64 729 (pow.f64 a 3) 27)) (+.f64 (+.f64 9 (pow.f64 (.f64 9 a) 2)) (.f64 a -27)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a a) 81) -9) (+.f64 (.f64 (*.f64 a a) 81) (fma.f64 a -27 9))) (fma.f64 (pow.f64 a 3) 729 27))
(.f64 (/.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) (-.f64 (.f64 (pow.f64 (.f64 9 a) 2) (pow.f64 (.f64 9 a) 2)) (.f64 (-.f64 9 (.f64 a -27)) (-.f64 9 (.f64 a -27))))) (+.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (.f64 a -27)))
(.f64 (/.f64 (+.f64 -27 (.f64 (pow.f64 a 3) 729)) (-.f64 (pow.f64 (.f64 9 a) 4) (.f64 (-.f64 9 (.f64 a -27)) (-.f64 9 (.f64 a -27))))) (+.f64 (.f64 a -27) (+.f64 (pow.f64 (.f64 9 a) 2) -9)))
(.f64 (/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (-.f64 (pow.f64 (.f64 9 a) 4) (.f64 (+.f64 9 (.f64 a 27)) (+.f64 9 (.f64 a 27))))) (fma.f64 a -27 (+.f64 (.f64 (*.f64 a a) 81) -9)))
(.f64 (/.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) (+.f64 (pow.f64 (pow.f64 (.f64 9 a) 2) 3) (pow.f64 (-.f64 9 (.f64 a -27)) 3))) (+.f64 (.f64 (pow.f64 (.f64 9 a) 2) (pow.f64 (.f64 9 a) 2)) (-.f64 (.f64 (-.f64 9 (.f64 a -27)) (-.f64 9 (.f64 a -27))) (.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))))
(.f64 (/.f64 (+.f64 -27 (.f64 (pow.f64 a 3) 729)) (+.f64 (pow.f64 (pow.f64 (.f64 9 a) 2) 3) (pow.f64 (-.f64 9 (.f64 a -27)) 3))) (+.f64 (pow.f64 (.f64 9 a) 4) (.f64 (-.f64 9 (.f64 a -27)) (-.f64 (-.f64 9 (.f64 a -27)) (pow.f64 (*.f64 9 a) 2)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 a a) 81) 3) (pow.f64 (+.f64 9 (.f64 a 27)) 3)) (fma.f64 (+.f64 9 (.f64 a 27)) (-.f64 (+.f64 9 (.f64 a 27)) (.f64 (.f64 a a) 81)) (pow.f64 (.f64 9 a) 4))))
(/.f64 1 (/.f64 1 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (fma.f64 9 a 3))
(.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (/.f64 1 (fma.f64 9 a 3)))
(/.f64 (+.f64 (.f64 (.f64 a a) 81) -9) (fma.f64 9 a 3))
(/.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))
(.f64 (+.f64 -27 (.f64 (pow.f64 a 3) 729)) (/.f64 1 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 a 27) (.f64 (*.f64 a a) 81))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 (.f64 a a) 81) (*.f64 a 27))))
(/.f64 (sqrt.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3)))) (/.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))) (sqrt.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 -27 (.f64 (pow.f64 a 3) 729))) (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))) (sqrt.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (+.f64 9 (+.f64 (.f64 a 27) (.f64 (.f64 a a) 81)))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (+.f64 9 (+.f64 (.f64 (.f64 a a) 81) (.f64 a 27)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9)) (/.f64 (fma.f64 9 a 3) (sqrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a a) 81) -9)) (/.f64 (fma.f64 9 a 3) (sqrt.f64 (+.f64 (.f64 (.f64 a a) 81) -9))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3)))) (cbrt.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))))) (/.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))) (cbrt.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 -27 (.f64 (pow.f64 a 3) 729))) (cbrt.f64 (+.f64 -27 (.f64 (pow.f64 a 3) 729)))) (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))) (cbrt.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (/.f64 (+.f64 9 (+.f64 (.f64 a 27) (.f64 (.f64 a a) 81))) (cbrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (/.f64 (+.f64 9 (+.f64 (.f64 (.f64 a a) 81) (.f64 a 27))) (cbrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9)) (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9))) (/.f64 (fma.f64 9 a 3) (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9)) (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9))) (fma.f64 9 a 3)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9)))
(.f64 (cbrt.f64 (+.f64 (.f64 (.f64 a a) 81) -9)) (/.f64 (cbrt.f64 (+.f64 (.f64 (.f64 a a) 81) -9)) (/.f64 (fma.f64 9 a 3) (cbrt.f64 (+.f64 (.f64 (*.f64 a a) 81) -9)))))
(/.f64 (-.f64 (.f64 (.f64 729 (pow.f64 a 3)) (.f64 729 (pow.f64 a 3))) 729) (.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))) (-.f64 (*.f64 729 (pow.f64 a 3)) -27)))
(/.f64 (+.f64 (.f64 531441 (.f64 (pow.f64 a 3) (pow.f64 a 3))) -729) (.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (*.f64 a -27))) (fma.f64 729 (pow.f64 a 3) 27)))
(/.f64 (fma.f64 531441 (pow.f64 a 6) -729) (.f64 (+.f64 9 (+.f64 (.f64 a 27) (.f64 (.f64 a a) 81))) (fma.f64 (pow.f64 a 3) 729 27)))
(/.f64 (fma.f64 531441 (pow.f64 a 6) -729) (.f64 (+.f64 9 (+.f64 (.f64 (.f64 a a) 81) (.f64 a 27))) (fma.f64 (pow.f64 a 3) 729 27)))
(/.f64 (-.f64 9 (pow.f64 (.f64 9 a) 2)) (-.f64 -3 (.f64 9 a)))
(/.f64 (-.f64 9 (pow.f64 (.f64 9 a) 2)) (+.f64 -3 (.f64 -9 a)))
(/.f64 (-.f64 9 (.f64 (.f64 a a) 81)) (+.f64 -3 (*.f64 a -9)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 9 a) 2) (pow.f64 (.f64 9 a) 2)) 81) (.f64 (fma.f64 9 a 3) (+.f64 9 (pow.f64 (*.f64 9 a) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 9 a) 4) -81) (.f64 (fma.f64 9 a 3) (+.f64 9 (pow.f64 (*.f64 9 a) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 9 a) 4) -81) (.f64 (fma.f64 9 a 3) (+.f64 9 (.f64 (.f64 a a) 81))))
(/.f64 (+.f64 -19683 (pow.f64 (.f64 729 (pow.f64 a 3)) 3)) (.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))) (+.f64 (.f64 (.f64 729 (pow.f64 a 3)) (.f64 729 (pow.f64 a 3))) (-.f64 729 (.f64 (*.f64 729 (pow.f64 a 3)) -27)))))
(/.f64 (+.f64 -19683 (.f64 387420489 (pow.f64 (pow.f64 a 3) 3))) (.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))) (+.f64 (.f64 531441 (.f64 (pow.f64 a 3) (pow.f64 a 3))) (-.f64 729 (.f64 729 (.f64 (pow.f64 a 3) -27))))))
(/.f64 (fma.f64 387420489 (pow.f64 (pow.f64 a 3) 3) -19683) (.f64 (+.f64 9 (+.f64 (.f64 a 27) (.f64 (.f64 a a) 81))) (-.f64 (fma.f64 531441 (pow.f64 a 6) 729) (*.f64 (pow.f64 a 3) -19683))))
(/.f64 (fma.f64 387420489 (pow.f64 (pow.f64 a 3) 3) -19683) (.f64 (+.f64 9 (+.f64 (.f64 (.f64 a a) 81) (.f64 a 27))) (-.f64 (fma.f64 531441 (pow.f64 a 6) 729) (*.f64 (pow.f64 a 3) -19683))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 9 a) 2) 3) 729) (.f64 (fma.f64 9 a 3) (+.f64 (.f64 (pow.f64 (.f64 9 a) 2) (pow.f64 (.f64 9 a) 2)) (+.f64 81 (.f64 (pow.f64 (*.f64 9 a) 2) 9)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 9 a) 2) 3) -729) (.f64 (fma.f64 9 a 3) (+.f64 (pow.f64 (.f64 9 a) 4) (+.f64 81 (.f64 9 (pow.f64 (*.f64 9 a) 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 a a) 81) 3) -729) (fma.f64 9 a 3)) (+.f64 (pow.f64 (.f64 9 a) 4) (fma.f64 9 (.f64 (*.f64 a a) 81) 81)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9)) (neg.f64 (fma.f64 9 a 3)))
(/.f64 (-.f64 9 (pow.f64 (.f64 9 a) 2)) (+.f64 -3 (.f64 -9 a)))
(/.f64 (-.f64 9 (.f64 (.f64 a a) 81)) (+.f64 -3 (*.f64 a -9)))
(/.f64 (neg.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(/.f64 (+.f64 27 (neg.f64 (.f64 (pow.f64 a 3) 729))) (neg.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 a 27) (.f64 (.f64 a a) 81)))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 (.f64 a a) 81) (.f64 a 27)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) 1) (fma.f64 9 a 3))
(.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (/.f64 1 (fma.f64 9 a 3)))
(/.f64 (+.f64 (.f64 (.f64 a a) 81) -9) (fma.f64 9 a 3))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (sqrt.f64 (fma.f64 9 a 3))) (sqrt.f64 (fma.f64 9 a 3)))
(.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (/.f64 1 (fma.f64 9 a 3)))
(/.f64 (+.f64 (.f64 (.f64 a a) 81) -9) (fma.f64 9 a 3))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (.f64 (cbrt.f64 (fma.f64 9 a 3)) (cbrt.f64 (fma.f64 9 a 3)))) (cbrt.f64 (fma.f64 9 a 3)))
(.f64 (+.f64 (pow.f64 (.f64 9 a) 2) -9) (/.f64 1 (fma.f64 9 a 3)))
(/.f64 (+.f64 (.f64 (.f64 a a) 81) -9) (fma.f64 9 a 3))
(/.f64 (/.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) 1) (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))
(.f64 (+.f64 -27 (.f64 (pow.f64 a 3) 729)) (/.f64 1 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 a 27) (.f64 (*.f64 a a) 81))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 (.f64 a a) 81) (*.f64 a 27))))
(/.f64 (/.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) (sqrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(.f64 (+.f64 -27 (.f64 (pow.f64 a 3) 729)) (/.f64 1 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 a 27) (.f64 (*.f64 a a) 81))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 (.f64 a a) 81) (*.f64 a 27))))
(/.f64 (/.f64 (+.f64 -27 (.f64 729 (pow.f64 a 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))
(.f64 (+.f64 -27 (.f64 (pow.f64 a 3) 729)) (/.f64 1 (+.f64 (pow.f64 (.f64 9 a) 2) (-.f64 9 (.f64 a -27)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 a 27) (.f64 (*.f64 a a) 81))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 (.f64 a a) 81) (*.f64 a 27))))
(pow.f64 (fma.f64 9 a -3) 1)
(fma.f64 9 a -3)
(pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 2)
(fma.f64 9 a -3)
(pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 3)
(fma.f64 9 a -3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))
(fabs.f64 (fma.f64 9 a -3))
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/3)
(fma.f64 9 a -3)
(sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))
(fabs.f64 (fma.f64 9 a -3))
(log.f64 (exp.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 a -3))))
(fma.f64 9 a -3)
(cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3))
(fma.f64 9 a -3)
(expm1.f64 (log1p.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(exp.f64 (log.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1))
(fma.f64 9 a -3)
(log1p.f64 (expm1.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(fma.f64 9 a -3)
(fma.f64 1 (*.f64 9 a) -3)
(fma.f64 9 a -3)
(fma.f64 (sqrt.f64 (.f64 9 a)) (sqrt.f64 (.f64 9 a)) -3)
(fma.f64 9 a -3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 9 a)) 2) (cbrt.f64 (.f64 9 a)) -3)
(fma.f64 9 a -3)

eval615.0ms (6.7%)

Compiler: Compiled 23183 to 18416 computations (20.6% saved)

prune271.0ms (3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	881	7	888
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	883	7	890

Error

Counts

890 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	17.8b	(-.f64 a 1/3)
▶	0.7b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
▶	45.1b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
▶	45.1b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	19.2b	a

Compiler

Compiled 141 to 112 computations (20.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
✓	0.0b	(sqrt.f64 (-.f64 a 1/3))
✓	0.2b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
✓	0.4b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 48 to 34 computations (29.2% saved)

series8.0ms (0.1%)

Counts

4 → 27

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
1.0ms	a	@	-inf	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
1.0ms	rand	@	0	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
0.0ms	a	@	0	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
0.0ms	a	@	-inf	(sqrt.f64 (-.f64 a 1/3))

rewrite100.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`associate-*r/`
794×	`associate-*l/`
758×	`swap-sqr`
602×	`distribute-rgt-in`
560×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	76
1	242	76
2	3171	76

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(sqrt.f64 (-.f64 a 1/3))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (.f64 rand 1/3)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 rand 1/3)) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) rand) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) rand) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (fma.f64 a a -1/9)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 1) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (-.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (+.f64 a -1/3) (.f64 rand rand)) (/.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) 1/9)) (/.f64 a (/.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 a (exp.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (exp.f64 (log1p.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (sqrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) (/.f64 1 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (/.f64 1 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))) (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a))) (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) (-.f64 (.f64 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((x fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9))) (cbrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand a)))))

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-/r/`
860×	`associate-/l/`
654×	`+-commutative`
634×	`associate-+r+`
600×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	457	10184
1	1172	9496
2	5075	9392

Stop Event

1×	node limit

Counts

182 → 281

Calls

Call 1

Inputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
a
a
a
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1)
(/.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (.f64 rand 1/3)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 rand 1/3)) (sqrt.f64 (+.f64 1/3 a)))
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(pow.f64 (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)
(pow.f64 (cbrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) 1/3)
(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27))
(expm1.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(exp.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))
(log1p.f64 (expm1.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(/.f64 (.f64 rand (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))
(/.f64 (*.f64 rand (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) rand) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) rand) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 a a -1/9)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (+.f64 1/3 a)))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/3)
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(*.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))
(/.f64 (*.f64 1 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 1) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 1/3 a)))
(pow.f64 (+.f64 a -1/3) 1/2)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 a -1/3)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))
(exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (-.f64 1 a))
(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(-.f64 (/.f64 (.f64 (+.f64 a -1/3) (.f64 rand rand)) (/.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) 1/9)) (/.f64 a (/.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) a)))
(-.f64 (+.f64 a (exp.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) 1)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (exp.f64 (log1p.f64 a))) 1)
(.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)
(.f64 1 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))
(.f64 (sqrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) (/.f64 1 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (/.f64 1 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(.f64 (/.f64 1 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))) (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))) (+.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a))) (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))
(.f64 (/.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) (-.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3))) (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (-.f64 (.f64 1/81 (.f64 (pow.f64 (+.f64 a -1/3) 2) (.f64 (pow.f64 rand 3) rand))) (.f64 (.f64 a a) (.f64 (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)) (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))) (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (+.f64 (pow.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) 3) (pow.f64 (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))) 3))) (+.f64 (.f64 1/81 (.f64 (pow.f64 (+.f64 a -1/3) 2) (.f64 (pow.f64 rand 3) rand))) (.f64 (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))) (-.f64 (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))) (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9))))))
(/.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) (/.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(/.f64 1 (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(/.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))
(/.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))) (/.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3))) (/.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a))) (/.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) (sqrt.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)))) (/.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a))) (cbrt.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)))) (/.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) (cbrt.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)))))
(/.f64 (-.f64 (.f64 a a) (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9))) (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))
(/.f64 (-.f64 (.f64 1/729 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))) (.f64 (pow.f64 a 3) (pow.f64 a 3))) (.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))) (-.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3))))
(/.f64 (-.f64 (.f64 1/81 (.f64 (pow.f64 (+.f64 a -1/3) 2) (.f64 (pow.f64 rand 3) rand))) (.f64 (pow.f64 a 3) a)) (.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) (+.f64 (.f64 a a) (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) 3) (pow.f64 (pow.f64 a 3) 3)) (.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))) (+.f64 (.f64 1/729 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))) (.f64 (pow.f64 a 3) (-.f64 (pow.f64 a 3) (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) 3) (pow.f64 (.f64 a a) 3)) (.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) (+.f64 (.f64 1/81 (.f64 (pow.f64 (+.f64 a -1/3) 2) (.f64 (pow.f64 rand 3) rand))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a))) (neg.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3))) (neg.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) 1) (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) 1) (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)))) (sqrt.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (sqrt.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)))) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)))) (cbrt.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2) (cbrt.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)))) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(/.f64 (.f64 (-.f64 (.f64 a a) (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9))) 1) (+.f64 a (.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a))) 1) (neg.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3))) 1) (neg.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3))) (sqrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) (sqrt.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a))) (sqrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2)) (cbrt.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2)) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(/.f64 (.f64 (-.f64 (.f64 1/81 (.f64 (pow.f64 (+.f64 a -1/3) 2) (.f64 (pow.f64 rand 3) rand))) (.f64 (pow.f64 a 3) a)) (/.f64 1 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))) (+.f64 (.f64 a a) (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) 3) (pow.f64 (.f64 a a) 3)) (/.f64 1 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))) (+.f64 (.f64 1/81 (.f64 (pow.f64 (+.f64 a -1/3) 2) (.f64 (pow.f64 rand 3) rand))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 (.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9))))))
(/.f64 (.f64 (-.f64 (.f64 1/729 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))) (.f64 (pow.f64 a 3) (pow.f64 a 3))) (/.f64 1 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))) (-.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) 3) (pow.f64 (pow.f64 a 3) 3)) (/.f64 1 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))) (+.f64 (.f64 1/729 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))) (.f64 (pow.f64 a 3) (-.f64 (pow.f64 a 3) (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27)))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) 1) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) (sqrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))) (sqrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) (.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))) (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))) (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) (+.f64 (sqrt.f64 a) (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (-.f64 (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 a)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) 1) (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (sqrt.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))) (sqrt.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))) (cbrt.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))) (cbrt.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) (neg.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (neg.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(exp.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1/3 a)
(fma.f64 1 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 (cbrt.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9))) (cbrt.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand a)

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 rand (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (/.f64 (.f64 1/6 (*.f64 rand a)) (sqrt.f64 -1/3)))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 (/.f64 (*.f64 1/6 a) (sqrt.f64 -1/3)) rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (.f64 -1/24 (/.f64 (.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 1/8 (/.f64 (.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (/.f64 (.f64 1/48 (.f64 rand (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1/3) 5)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (.f64 1/8 (/.f64 (.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)) (.f64 1/8 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/3))))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 1/2 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 a 1/2) (/.f64 (sqrt.f64 -1/3) rand)))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) rand))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/2 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 -1/8 (.f64 rand (.f64 a a))) (pow.f64 (sqrt.f64 -1/3) 3))))
(fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (.f64 3/8 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (.f64 (.f64 3/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3))) rand)))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
(fma.f64 1/2 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (/.f64 (.f64 -1/8 (.f64 rand (.f64 a a))) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) 1/16 (.f64 3/8 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)) 1/16 (.f64 (.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) rand))))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (.f64 3/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 3/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3)))))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 rand (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 a (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3)))))
(fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (.f64 rand (.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (.f64 a (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (.f64 1/8 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 (+.f64 1 (/.f64 (.f64 1/6 rand) (sqrt.f64 -1/3))) a (/.f64 (.f64 1/48 (.f64 rand (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1/3) 5)))))
(+.f64 (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (.f64 1/48 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))))) (fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/8 (/.f64 (.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (fma.f64 1/48 (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)) (.f64 1/8 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/3)))) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (.f64 rand (.f64 1/3 (sqrt.f64 -1/3)))))
a
a
a
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (.f64 1/3 rand))
(/.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 1/3 rand)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (.f64 1/3 rand))
(.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) rand) 1/3)
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (.f64 rand 1/3)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (.f64 1/3 rand))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 rand 1/3)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 1/3 rand)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (.f64 1/3 rand))
(.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) rand) 1/3)
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(pow.f64 (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(pow.f64 (cbrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27))
(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))
(sqrt.f64 (.f64 rand (.f64 rand (*.f64 (+.f64 -1/3 a) 1/9))))
(sqrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27))
(cbrt.f64 (.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27))
(expm1.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(exp.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(log1p.f64 (expm1.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (.f64 rand (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) rand)
(/.f64 (*.f64 rand (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) rand)
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) rand) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) rand)
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) rand) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) rand)
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (/.f64 (cbrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9))) rand) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (.f64 (cbrt.f64 (fma.f64 a a -1/9)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (.f64 (.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 1/3 a)))
(.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))) (.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 (cbrt.f64 (+.f64 1/3 a)) rand)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 2)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/3)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 rand rand)))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 rand rand)))
(sqrt.f64 (.f64 rand (.f64 rand (+.f64 -1/3 a))))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 3/2) (pow.f64 rand 3)))
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(/.f64 (fma.f64 a a (.f64 rand (.f64 (.f64 -1/9 (+.f64 -1/3 a)) rand))) (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3) a))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) (.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))) (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))) (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(-.f64 (.f64 (/.f64 (.f64 (+.f64 -1/3 a) (.f64 rand rand)) (fma.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) 1/9) (.f64 (/.f64 a (fma.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) a))
(/.f64 (fma.f64 rand (.f64 rand (+.f64 -1/27 (.f64 1/9 a))) (.f64 a (neg.f64 a))) (-.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) a))
(/.f64 (fma.f64 a a (.f64 rand (.f64 (.f64 -1/9 (+.f64 -1/3 a)) rand))) (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3) a))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) (+.f64 (sqrt.f64 a) (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (-.f64 (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 a)))
(/.f64 (-.f64 (.f64 rand (.f64 rand (.f64 (+.f64 -1/3 a) 1/9))) (.f64 a a)) (.f64 (-.f64 (sqrt.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (sqrt.f64 a)) (+.f64 (sqrt.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (sqrt.f64 a))))
(/.f64 (fma.f64 rand (.f64 rand (+.f64 -1/27 (.f64 1/9 a))) (.f64 a (neg.f64 a))) (.f64 (+.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))) (sqrt.f64 a)) (-.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))) (sqrt.f64 a))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) 1) (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))
(/.f64 (fma.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 (.f64 rand rand) (.f64 (+.f64 -1/3 a) 1/9) (.f64 a (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3))))))
(/.f64 (fma.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3) a) (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 1/9 a))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (sqrt.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))) (sqrt.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(/.f64 (fma.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 (.f64 rand rand) (.f64 (+.f64 -1/3 a) 1/9) (.f64 a (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3))))))
(/.f64 (fma.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3) a) (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 1/9 a))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))) (cbrt.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))) (cbrt.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(/.f64 (fma.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 (.f64 rand rand) (.f64 (+.f64 -1/3 a) 1/9) (.f64 a (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3))))))
(/.f64 (fma.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3) a) (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 1/9 a))))))
(pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 3) 1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(neg.f64 (/.f64 (-.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a a)) (neg.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))))
(-.f64 (.f64 (/.f64 (.f64 (+.f64 -1/3 a) (.f64 rand rand)) (fma.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) 1/9) (.f64 (/.f64 a (fma.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) a))
(/.f64 (fma.f64 rand (.f64 rand (+.f64 -1/27 (.f64 1/9 a))) (.f64 a (neg.f64 a))) (-.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) a))
(/.f64 (fma.f64 a a (.f64 rand (.f64 (.f64 -1/9 (+.f64 -1/3 a)) rand))) (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3) a))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (neg.f64 (+.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) (.f64 a (+.f64 a (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 (.f64 rand rand) (.f64 (+.f64 -1/3 a) 1/9) (.f64 a (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3))))))
(/.f64 (fma.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3) a) (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 1/9 a))))))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) 2))
(fabs.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(log.f64 (exp.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(cbrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 3))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(expm1.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(exp.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(exp.f64 (.f64 (log.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 1))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(log1p.f64 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1/3 a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 1 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 (cbrt.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9))) (cbrt.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)
(fma.f64 (cbrt.f64 (.f64 rand (.f64 rand (.f64 (+.f64 -1/3 a) 1/9)))) (cbrt.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) a)
(fma.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 1/9 a))))) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)

localize4.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 a 1/3))
	0.2b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
	0.4b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 a -1/3))
✓	0.3b	(*.f64 1/3 rand)
✓	0.3b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))

Compiler

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts

3 → 20

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	rand	@	inf	(*.f64 1/3 rand)
0.0ms	a	@	-inf	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
0.0ms	rand	@	-inf	(*.f64 1/3 rand)
0.0ms	rand	@	0	(*.f64 1/3 rand)
0.0ms	a	@	inf	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`*-commutative`
700×	`unswap-sqr`
590×	`swap-sqr`
434×	`associate-*r/`
396×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	229	41
2	2737	41

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(*.f64 1/3 rand)
(sqrt.f64 (+.f64 a -1/3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (*.f64 1/3 rand) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 1 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/6) (pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) 1) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))))))

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Rules

978×	`*-commutative`
854×	`distribute-lft-in`
838×	`distribute-rgt-in`
832×	`associate-*r/`
722×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	3017
1	531	2829
2	2014	2805
3	6944	2805

Stop Event

1×	node limit

Counts

103 → 161

Calls

Call 1

Inputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand)))) 1)
(/.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 1/3 rand)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 1/3 rand)) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 (.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 a a -1/9)) (.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand)))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) 1))
(pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand)) 1)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand)) 3) 1/3)
(sqrt.f64 (.f64 (+.f64 a -1/3) (pow.f64 (.f64 1/3 rand) 2)))
(log.f64 (pow.f64 (exp.f64 (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/3 rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 1/3 rand))) (exp.f64 (log1p.f64 (.f64 1/3 rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 1/3 rand))) 1))
(pow.f64 (*.f64 1/3 rand) 1)
(pow.f64 (sqrt.f64 (*.f64 1/3 rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 3)
(pow.f64 (pow.f64 (*.f64 1/3 rand) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 1/3 rand) 2))
(log.f64 (exp.f64 (*.f64 1/3 rand)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 rand))))
(cbrt.f64 (pow.f64 (*.f64 1/3 rand) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 rand)))
(exp.f64 (log.f64 (*.f64 1/3 rand)))
(log1p.f64 (expm1.f64 (*.f64 1/3 rand)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 1 1/2))
(*.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 1 (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/6) (pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/6))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 1 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) 1) (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1))
(pow.f64 (+.f64 a -1/3) 1/2)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 a -1/3)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 rand (.f64 (sqrt.f64 -1/3) 1/3))
(.f64 rand (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (.f64 rand a))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 (/.f64 1/6 (sqrt.f64 -1/3)) (*.f64 rand a)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) (.f64 1/8 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (.f64 a a))) (.f64 (/.f64 1/6 (sqrt.f64 -1/3)) (.f64 rand a))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (.f64 rand (.f64 a (/.f64 a (sqrt.f64 -1/3)))) (.f64 (/.f64 1/6 (sqrt.f64 -1/3)) (*.f64 rand a))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 1/48 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (.f64 1/8 (/.f64 (.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/48 (.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (fma.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (.f64 a a))) (.f64 (/.f64 1/6 (sqrt.f64 -1/3)) (*.f64 rand a)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/48 (.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (fma.f64 1/8 (.f64 rand (.f64 a (/.f64 a (sqrt.f64 -1/3)))) (.f64 (/.f64 1/6 (sqrt.f64 -1/3)) (.f64 rand a)))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (.f64 3/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3))))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (*.f64 a (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 3/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3)))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(fma.f64 3/8 (*.f64 a (/.f64 a (sqrt.f64 -1/3))) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand)))) -1)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand)))) 1)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 1/3 rand)))
(.f64 (.f64 1/3 rand) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 1/3 rand)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 1/3 rand)) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 1/3 rand)))
(.f64 (.f64 1/3 rand) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 (.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (.f64 1/3 (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) 1/3)) (.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 a a -1/9)) (.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 (cbrt.f64 (+.f64 1/3 a)) (.f64 (.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))) (.f64 1/3 (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))
(.f64 (/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 1/3 a))) (*.f64 1/3 rand))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand)))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) 1))
(/.f64 (.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)))) 1) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))) 1))
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(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 1/3 a))) (cbrt.f64 (fma.f64 a a -1/9)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a))))) (sqrt.f64 (+.f64 -1/3 a))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))))
(pow.f64 (+.f64 a -1/3) 1/2)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	0.1b	(sqrt.f64 (*.f64 9 a))
✓	0.2b	(/.f64 rand (sqrt.f64 (*.f64 9 a)))

Compiler

Compiled 43 to 31 computations (27.9% saved)

series8.0ms (0.1%)

Counts

3 → 26

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(sqrt.f64 (*.f64 9 a))
1.0ms	rand	@	0	(/.f64 rand (sqrt.f64 (*.f64 9 a)))
1.0ms	a	@	-inf	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
0.0ms	a	@	0	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
0.0ms	a	@	0	(/.f64 rand (sqrt.f64 (*.f64 9 a)))

rewrite193.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`associate-/r*`
1122×	`distribute-lft-in`
936×	`associate-/l*`
298×	`associate-/r/`
298×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	302	59
2	3997	59

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

Inputs
(/.f64 rand (sqrt.f64 (*.f64 9 a)))
(sqrt.f64 (*.f64 9 a))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 -1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 rand (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 9 a) 1/4)) (/.f64 rand (pow.f64 (*.f64 9 a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 9 a))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (sqrt.f64 a)) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 9 a))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (pow.f64 (*.f64 9 a) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (*.f64 9 a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 3 (sqrt.f64 a))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 3 (sqrt.f64 a)) (cbrt.f64 (*.f64 rand rand)))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 rand -3) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 9 a) 1/4) (pow.f64 (*.f64 9 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) (cbrt.f64 (*.f64 9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 a)) (cbrt.f64 (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 9 a)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 9 a)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 9 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9 a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 9 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 a))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 1 (+.f64 -1/3 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (*.f64 1 (+.f64 a (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 1 (*.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/3 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3))) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) a) (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) -1/3) (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) (+.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3) (+.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)) 1) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (*.f64 -1/3 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 (*.f64 a (*.f64 rand (/.f64 1/3 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egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 a -1/3)) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a)))) (+.f64 a 1/3)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))) (+.f64 a 1/3)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (fma.f64 a a -1/9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (fma.f64 a a -1/9)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))))))

simplify471.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

1558×	`associate-/l/`
928×	`associate-+r+`
918×	`associate-+l+`
686×	`associate-/r/`
598×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	465	9403
1	1221	9115
2	4613	9073

Stop Event

1×	node limit

Counts

215 → 275

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 0)
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))
(-.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 (/.f64 (/.f64 (.f64 rand rand) (.f64 9 a)) (-.f64 1 (.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(.f64 1 (.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(.f64 (sqrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(.f64 (sqrt.f64 rand) (.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(.f64 (cbrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (.f64 rand rand) (.f64 9 a))))
(.f64 (cbrt.f64 (/.f64 (.f64 rand rand) (.f64 9 a))) (cbrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(.f64 (cbrt.f64 (.f64 rand rand)) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
(*.f64 (neg.f64 rand) (/.f64 -1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (.f64 9 a) 1/4)) (/.f64 rand (pow.f64 (*.f64 9 a) 1/4)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 9 a))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))
(*.f64 (/.f64 -1/3 (sqrt.f64 a)) (neg.f64 rand))
(.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (.f64 3 (sqrt.f64 a))))
(.f64 (/.f64 (sqrt.f64 rand) (.f64 3 (sqrt.f64 a))) (sqrt.f64 rand))
(*.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (.f64 9 a))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))
(.f64 (/.f64 (cbrt.f64 (.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))))
(.f64 (/.f64 (cbrt.f64 (.f64 rand rand)) (pow.f64 (.f64 9 a) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (.f64 9 a) 1/4)))
(.f64 (/.f64 (cbrt.f64 (.f64 rand rand)) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 a)))
(.f64 (/.f64 (cbrt.f64 (.f64 rand rand)) (cbrt.f64 (.f64 9 a))) (cbrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(.f64 (/.f64 (cbrt.f64 (.f64 rand rand)) (*.f64 3 (sqrt.f64 a))) (cbrt.f64 rand))
(.f64 (/.f64 1 (/.f64 (.f64 3 (sqrt.f64 a)) (cbrt.f64 (*.f64 rand rand)))) (cbrt.f64 rand))
(pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)
(pow.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 a)) -1)
(pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)
(neg.f64 (/.f64 (/.f64 rand -3) (sqrt.f64 a)))
(sqrt.f64 (/.f64 (.f64 rand rand) (.f64 9 a)))
(log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))
(expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (.f64 (log.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a)))) 1)
(.f64 (.f64 3 (sqrt.f64 a)) 1)
(.f64 1 (.f64 3 (sqrt.f64 a)))
(.f64 (pow.f64 (.f64 9 a) 1/4) (pow.f64 (*.f64 9 a) 1/4))
(*.f64 3 (sqrt.f64 a))
(*.f64 (sqrt.f64 a) 3)
(*.f64 (sqrt.f64 a) (pow.f64 9 1/2))
(.f64 (cbrt.f64 (.f64 3 (sqrt.f64 a))) (cbrt.f64 (*.f64 9 a)))
(.f64 (cbrt.f64 (.f64 9 a)) (cbrt.f64 (*.f64 3 (sqrt.f64 a))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 9 a)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 9 a))))
(*.f64 (pow.f64 9 1/2) (sqrt.f64 a))
(.f64 (pow.f64 1 1/2) (.f64 3 (sqrt.f64 a)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 9 a)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 9 a)) 1/2))
(pow.f64 (*.f64 9 a) 1/2)
(pow.f64 (*.f64 3 (sqrt.f64 a)) 1)
(pow.f64 (pow.f64 (*.f64 9 a) 1/4) 2)
(pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) 3)
(pow.f64 (pow.f64 (*.f64 9 a) 3/2) 1/3)
(fabs.f64 (*.f64 3 (sqrt.f64 a)))
(log.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 a)))))
(cbrt.f64 (pow.f64 (*.f64 9 a) 3/2))
(expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a))))
(exp.f64 (log.f64 (*.f64 3 (sqrt.f64 a))))
(exp.f64 (.f64 (log.f64 (.f64 9 a)) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 3 (sqrt.f64 a))) 1))
(log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 a))))
(+.f64 a (+.f64 -1/3 (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3))))
(+.f64 a (+.f64 -1/3 (.f64 (.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)) 1)))
(+.f64 a (.f64 1 (+.f64 -1/3 (.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))))
(+.f64 -1/3 (+.f64 a (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3))))
(+.f64 -1/3 (+.f64 a (.f64 (.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)) 1)))
(+.f64 -1/3 (.f64 1 (+.f64 a (.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(+.f64 (+.f64 a -1/3) (.f64 (.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)) 1))
(+.f64 (+.f64 a -1/3) (.f64 1 (.f64 (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)) 1)))
(+.f64 (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (+.f64 -1/3 (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3))) a)
(+.f64 (+.f64 a (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3))) -1/3)
(+.f64 (.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) a) (.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) -1/3))
(+.f64 (.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) -1/3) (.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) a))
(+.f64 (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) (+.f64 (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3) (+.f64 a -1/3)))
(+.f64 (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3) (+.f64 (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) (+.f64 a -1/3)))
(+.f64 (.f64 (.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)) 1) (+.f64 a -1/3))
(+.f64 (.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (.f64 -1/3 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
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(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(fma.f64 (+.f64 a -1/3) 1 (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(fma.f64 1 (+.f64 a -1/3) (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))

Outputs
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (.f64 (.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (.f64 (.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (.f64 (.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 (*.f64 1/3 (+.f64 a -1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (.f64 (.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (.f64 (.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (.f64 (.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 (*.f64 1/3 (+.f64 a -1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (.f64 (.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (.f64 (.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (.f64 (.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 0)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(-.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 (/.f64 (/.f64 (.f64 rand rand) (.f64 9 a)) (-.f64 1 (.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))
(-.f64 (-.f64 (/.f64 1 (-.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 a)))) (/.f64 (.f64 rand rand) (.f64 (-.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 a))) (*.f64 a 9)))) 1)
(+.f64 (/.f64 (-.f64 1 (.f64 (/.f64 rand 9) (/.f64 rand a))) (+.f64 1 (.f64 -1/3 (/.f64 rand (sqrt.f64 a))))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (/.f64 rand (/.f64 9 (/.f64 rand a)))) (+.f64 1 (*.f64 rand (/.f64 -1/3 (sqrt.f64 a))))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(.f64 1 (.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 rand) (.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(.f64 (cbrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (.f64 rand rand) (.f64 9 a))))
(.f64 (cbrt.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 a))) (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a))))
(.f64 (cbrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a))))
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))) (cbrt.f64 (/.f64 rand (/.f64 9 (/.f64 rand a)))))
(.f64 (cbrt.f64 (/.f64 (.f64 rand rand) (.f64 9 a))) (cbrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(.f64 (cbrt.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 a))) (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a))))
(.f64 (cbrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a))))
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))) (cbrt.f64 (/.f64 rand (/.f64 9 (/.f64 rand a)))))
(.f64 (cbrt.f64 (.f64 rand rand)) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(.f64 (cbrt.f64 (.f64 rand rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (cbrt.f64 rand)))
(.f64 (/.f64 1/3 (sqrt.f64 a)) (.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 rand)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(*.f64 (neg.f64 rand) (/.f64 -1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(.f64 (/.f64 1 (pow.f64 (.f64 9 a) 1/4)) (/.f64 rand (pow.f64 (*.f64 9 a) 1/4)))
(.f64 (/.f64 1 (pow.f64 (.f64 a 9) 1/4)) (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 (/.f64 rand (pow.f64 (.f64 a 9) 1/4)) (pow.f64 (.f64 a 9) 1/4))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 9 a))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 rand (cbrt.f64 (.f64 (sqrt.f64 a) 3))) (cbrt.f64 (.f64 a 9)))
(/.f64 (/.f64 rand (cbrt.f64 (.f64 a 9))) (cbrt.f64 (.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 -1/3 (sqrt.f64 a)) (neg.f64 rand))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (.f64 3 (sqrt.f64 a))))
(.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 rand) (.f64 (sqrt.f64 a) 3)))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(.f64 (/.f64 (sqrt.f64 rand) (.f64 3 (sqrt.f64 a))) (sqrt.f64 rand))
(.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 rand) (.f64 (sqrt.f64 a) 3)))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 a)))
(.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 rand) (.f64 (sqrt.f64 a) 3)))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (.f64 9 a))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 rand (cbrt.f64 (.f64 (sqrt.f64 a) 3))) (cbrt.f64 (.f64 a 9)))
(/.f64 (/.f64 rand (cbrt.f64 (.f64 a 9))) (cbrt.f64 (.f64 (sqrt.f64 a) 3)))
(.f64 (/.f64 (cbrt.f64 (.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))))
(.f64 (cbrt.f64 (.f64 rand rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (cbrt.f64 rand)))
(.f64 (/.f64 1/3 (sqrt.f64 a)) (.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 rand)))
(.f64 (/.f64 (cbrt.f64 (.f64 rand rand)) (pow.f64 (.f64 9 a) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (.f64 9 a) 1/4)))
(.f64 (/.f64 (cbrt.f64 (.f64 rand rand)) (pow.f64 (.f64 a 9) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (.f64 a 9) 1/4)))
(/.f64 (.f64 (cbrt.f64 (.f64 rand rand)) (cbrt.f64 rand)) (sqrt.f64 (*.f64 a 9)))
(.f64 (/.f64 (cbrt.f64 (.f64 rand rand)) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 a)))
(.f64 (cbrt.f64 (.f64 rand rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (cbrt.f64 rand)))
(.f64 (/.f64 1/3 (sqrt.f64 a)) (.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 rand)))
(.f64 (/.f64 (cbrt.f64 (.f64 rand rand)) (cbrt.f64 (.f64 9 a))) (cbrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (.f64 (cbrt.f64 (.f64 rand rand)) (cbrt.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 a)))) (cbrt.f64 (.f64 a 9)))
(.f64 (cbrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (/.f64 (cbrt.f64 (.f64 rand rand)) (cbrt.f64 (.f64 a 9))))
(.f64 (cbrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))) (/.f64 (cbrt.f64 (.f64 rand rand)) (cbrt.f64 (*.f64 a 9))))
(.f64 (/.f64 (cbrt.f64 (.f64 rand rand)) (*.f64 3 (sqrt.f64 a))) (cbrt.f64 rand))
(.f64 (cbrt.f64 (.f64 rand rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (cbrt.f64 rand)))
(.f64 (/.f64 1/3 (sqrt.f64 a)) (.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 rand)))
(.f64 (/.f64 1 (/.f64 (.f64 3 (sqrt.f64 a)) (cbrt.f64 (*.f64 rand rand)))) (cbrt.f64 rand))
(.f64 (cbrt.f64 (.f64 rand rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (cbrt.f64 rand)))
(.f64 (/.f64 1/3 (sqrt.f64 a)) (.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 rand)))
(pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(pow.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 a)) -1)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(neg.f64 (/.f64 (/.f64 rand -3) (sqrt.f64 a)))
(/.f64 (neg.f64 (/.f64 rand -3)) (sqrt.f64 a))
(/.f64 (neg.f64 rand) (*.f64 (sqrt.f64 a) -3))
(sqrt.f64 (/.f64 (.f64 rand rand) (.f64 9 a)))
(sqrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)))
(sqrt.f64 (/.f64 rand (/.f64 9 (/.f64 rand a))))
(log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
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(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (+.f64 a -1/3) 1 (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 1 (+.f64 a -1/3) (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))

eval529.0ms (5.8%)

Compiler: Compiled 19385 to 14028 computations (27.6% saved)

prune186.0ms (2%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	854	2	856
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	854	9	863

Error

Counts

863 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	17.8b	(-.f64 a 1/3)
▶	0.7b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 a))))
✓	0.7b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
▶	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
✓	45.1b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
✓	45.1b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶	59.7b	(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))
	19.2b	a

Compiler

Compiled 98 to 77 computations (21.4% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/9 (.f64 rand rand))
✓	11.5b	(.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand)))
✓	25.7b	(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))

Compiler

Compiled 36 to 20 computations (44.4% saved)

series4.0ms (0%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))
1.0ms	rand	@	0	(.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand)))
0.0ms	a	@	0	(.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand)))
0.0ms	rand	@	inf	(.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand)))
0.0ms	a	@	inf	(.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand)))

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`*-commutative`
784×	`unswap-sqr`
666×	`swap-sqr`
570×	`associate-*r/`
510×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	253	61
2	3071	61

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))
(.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand)))
(.f64 1/9 (.f64 rand rand))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1/2) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 3/2) (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) (*.f64 a (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 a (*.f64 1/9 (*.f64 rand rand)))) (*.f64 1 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand)))) (*.f64 1 (*.f64 a (*.f64 1/9 (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) 1) (*.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) 1) (*.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/9 (*.f64 rand rand)) (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand rand) (*.f64 1/9 (fma.f64 a a -1/9))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand rand) (*.f64 1/9 (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 1/9 (*.f64 rand rand))) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (*.f64 1/9 (*.f64 rand rand))) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (*.f64 1/9 (*.f64 rand rand))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (*.f64 rand 1/3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (*.f64 rand 1/3))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (fma.f64 a a -1/9)) (*.f64 rand rand)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 rand rand)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (pow.f64 rand 4) 1/81)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (pow.f64 rand 4) 1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 rand rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 rand 4) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 rand rand))))))))

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1744×	`associate-*r/`
1700×	`associate-/r/`
1680×	`distribute-lft-in`
798×	`associate-r`
780×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	296	5239
1	830	4695
2	4488	4695

Stop Event

1×	node limit

Counts

157 → 178

Calls

Call 1

Inputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/27 (pow.f64 rand 2))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) 1)
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(.f64 rand (pow.f64 (+.f64 -1/27 (.f64 a 1/9)) 1/2))
(.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 1)
(.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (pow.f64 1 1/2))
(.f64 1 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
(.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/3))
(.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))
(.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))) (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))) 2)) (sqrt.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))))
(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 2)))
(.f64 (pow.f64 1 1/2) (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 1/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 2) 1/2))
(.f64 (pow.f64 (+.f64 -1/27 (.f64 a 1/9)) 1/2) rand)
(.f64 (.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))) (.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand))))) (cbrt.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand))))) (cbrt.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) (sqrt.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) (sqrt.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) 3/2) (pow.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) 3) 1/6) (pow.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/6))
(/.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 rand 1/3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 rand 1/3)) (sqrt.f64 (+.f64 a 1/3)))
(pow.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1/2)
(pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) 1)
(pow.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) 2)
(pow.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) 3)
(pow.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) 3) 1/3)
(fabs.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))))
(cbrt.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) 3))
(expm1.f64 (log1p.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(exp.f64 (log.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(log1p.f64 (expm1.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(+.f64 (.f64 a (.f64 1/9 (.f64 rand rand))) (.f64 -1/3 (.f64 1/9 (.f64 rand rand))))
(+.f64 (.f64 -1/3 (.f64 1/9 (.f64 rand rand))) (.f64 a (.f64 1/9 (.f64 rand rand))))
(+.f64 (.f64 1 (.f64 a (.f64 1/9 (.f64 rand rand)))) (.f64 1 (.f64 -1/3 (.f64 1/9 (.f64 rand rand)))))
(+.f64 (.f64 1 (.f64 -1/3 (.f64 1/9 (.f64 rand rand)))) (.f64 1 (.f64 a (.f64 1/9 (.f64 rand rand)))))
(+.f64 (.f64 (.f64 a (.f64 1/9 (.f64 rand rand))) 1) (.f64 (.f64 -1/3 (.f64 1/9 (.f64 rand rand))) 1))
(+.f64 (.f64 (.f64 -1/3 (.f64 1/9 (.f64 rand rand))) 1) (.f64 (.f64 a (.f64 1/9 (.f64 rand rand))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))) 1)
(/.f64 (.f64 1/9 (.f64 rand rand)) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (.f64 1/9 (.f64 rand rand))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3))) (.f64 1/9 (*.f64 rand rand))))
(/.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(/.f64 (.f64 (.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (.f64 (.f64 rand rand) (*.f64 1/9 (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (.f64 (.f64 rand rand) (.f64 1/9 (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(/.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a))
(/.f64 (.f64 (.f64 1/9 (*.f64 rand rand)) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (neg.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 1 (.f64 (.f64 1/9 (.f64 rand rand)) (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (.f64 1 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (-.f64 1/9 (.f64 a a)) (.f64 1/9 (.f64 rand rand))) (-.f64 -1/3 a))
(/.f64 (.f64 (neg.f64 (fma.f64 a a -1/9)) (.f64 1/9 (*.f64 rand rand))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (.f64 1/9 (.f64 rand rand))) (neg.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 (.f64 1/9 (.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 (.f64 1/9 (.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (.f64 rand 1/3))) (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (*.f64 rand 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (.f64 1/9 (fma.f64 a a -1/9)) (*.f64 rand rand)) (+.f64 a 1/3))
(/.f64 (.f64 (.f64 1/9 (+.f64 -1/27 (pow.f64 a 3))) (.f64 rand rand)) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(/.f64 (/.f64 (.f64 (.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (.f64 (.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (fma.f64 a a -1/9)) (.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(/.f64 (/.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (/.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))) (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(pow.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1)
(pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) 2)
(pow.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 3)
(pow.f64 (.f64 (pow.f64 (+.f64 a -1/3) 2) (.f64 (pow.f64 rand 4) 1/81)) 1/2)
(pow.f64 (pow.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) 2) (.f64 (pow.f64 rand 4) 1/81)))
(log.f64 (exp.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))))
(cbrt.f64 (pow.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (.f64 1/9 (*.f64 rand rand)) 3)))
(expm1.f64 (log1p.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(exp.f64 (log.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(log1p.f64 (expm1.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/9 (.f64 rand rand)))) 1)
(pow.f64 (.f64 1/9 (.f64 rand rand)) 1)
(pow.f64 (*.f64 rand 1/3) 2)
(pow.f64 (cbrt.f64 (.f64 1/9 (.f64 rand rand))) 3)
(pow.f64 (pow.f64 (.f64 1/9 (.f64 rand rand)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 rand 4) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) (*.f64 rand rand)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/9 (.f64 rand rand)))))
(cbrt.f64 (pow.f64 (.f64 1/9 (.f64 rand rand)) 3))
(expm1.f64 (log1p.f64 (.f64 1/9 (.f64 rand rand))))
(exp.f64 (.f64 2 (log.f64 (.f64 rand 1/3))))
(log1p.f64 (expm1.f64 (.f64 1/9 (.f64 rand rand))))

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 rand (.f64 (sqrt.f64 -1/3) 1/3))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 rand (*.f64 (sqrt.f64 -1/3) 1/3)))
(fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (.f64 rand (*.f64 (sqrt.f64 -1/3) 1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (/.f64 (.f64 -1/24 (.f64 rand (.f64 a a))) (pow.f64 (sqrt.f64 -1/3) 3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 1/8 (/.f64 (.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (.f64 1/8 (/.f64 (.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (.f64 1/8 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (fma.f64 1/48 (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)) (.f64 1/8 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/3))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand -1/3))
(*.f64 -1/27 (pow.f64 rand 2))
(.f64 -1/27 (.f64 rand rand))
(.f64 rand (.f64 rand -1/27))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (*.f64 rand rand)))
(.f64 (.f64 (*.f64 a 1/9) rand) rand)
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (*.f64 rand rand)))
(.f64 (.f64 (*.f64 a 1/9) rand) rand)
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(*.f64 1/9 (pow.f64 rand 2))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(-.f64 (exp.f64 (log1p.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) 1)
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 rand (pow.f64 (+.f64 -1/27 (.f64 a 1/9)) 1/2))
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 1)
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (pow.f64 1 1/2))
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 1 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))) (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(.f64 (cbrt.f64 (.f64 (.f64 1/9 (+.f64 -1/3 a)) (.f64 rand rand))) (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(.f64 (cbrt.f64 (.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))) (cbrt.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))))
(.f64 (cbrt.f64 (.f64 (.f64 1/9 (+.f64 -1/3 a)) (.f64 rand rand))) (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(.f64 (cbrt.f64 (.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))) (cbrt.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))) 2)) (sqrt.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 1/9 (+.f64 -1/3 a)) (.f64 rand rand)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 1/9 (+.f64 -1/3 a)) (*.f64 rand rand))) 2)))
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(/.f64 (.f64 rand (.f64 rand 1/9)) (/.f64 (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))))
(.f64 (.f64 (/.f64 (.f64 rand rand) (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) 1/9) (.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 (.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (.f64 1/9 (*.f64 rand rand)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (/.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (fma.f64 a a -1/9))))
(/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 a a -1/9)) (.f64 rand (.f64 rand 1/9))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (cbrt.f64 (+.f64 1/3 a)))
(.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))) (.f64 (.f64 rand (.f64 rand 1/9)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(/.f64 (.f64 (-.f64 1/9 (.f64 a a)) (.f64 1/9 (.f64 rand rand))) (-.f64 -1/3 a))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (.f64 1/9 (*.f64 rand rand)))
(.f64 (/.f64 (.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (.f64 (neg.f64 (fma.f64 a a -1/9)) (.f64 1/9 (*.f64 rand rand))) (neg.f64 (+.f64 a 1/3)))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (.f64 1/9 (*.f64 rand rand)))
(.f64 (/.f64 (.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (.f64 1/9 (.f64 rand rand))) (neg.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (/.f64 (neg.f64 (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (.f64 1/9 (*.f64 rand rand))))
(.f64 -1/9 (/.f64 (.f64 rand (*.f64 rand (-.f64 1/27 (pow.f64 a 3)))) (fma.f64 a (+.f64 1/3 a) 1/9)))
(/.f64 (.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (.f64 1/9 (*.f64 rand rand)))
(.f64 (/.f64 (.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (.f64 1/9 (.f64 rand rand)))
(.f64 (.f64 rand (*.f64 rand 1/9)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 (.f64 1/9 (.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (.f64 1/9 (.f64 (.f64 rand rand) (sqrt.f64 (+.f64 -1/3 a))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (.f64 1/9 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand rand))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 (.f64 1/9 (.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (.f64 1/9 (.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (/.f64 (sqrt.f64 (+.f64 1/3 a)) 1/9) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand rand))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) 1/9)) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand rand)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (.f64 rand 1/3))) (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (.f64 rand (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) (*.f64 1/3 rand)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (.f64 1/3 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (.f64 rand rand))))
(.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (.f64 1/3 rand)) (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (*.f64 rand 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (.f64 rand (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) (.f64 1/3 rand)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (.f64 1/3 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (.f64 rand rand))))
(.f64 (.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9))) (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(/.f64 (.f64 (.f64 1/9 (fma.f64 a a -1/9)) (*.f64 rand rand)) (+.f64 a 1/3))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (.f64 1/9 (*.f64 rand rand)))
(.f64 (/.f64 (.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (.f64 (.f64 1/9 (+.f64 -1/27 (pow.f64 a 3))) (.f64 rand rand)) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (.f64 1/9 (.f64 rand rand)))
(.f64 (.f64 rand (*.f64 rand 1/9)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)))
(/.f64 (/.f64 (.f64 (.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (.f64 1/9 (*.f64 rand rand)))
(.f64 (/.f64 (.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (/.f64 (.f64 (.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (.f64 1/9 (*.f64 rand rand)))
(.f64 (/.f64 (.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (/.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (fma.f64 a a -1/9)) (.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (.f64 1/9 (*.f64 rand rand)))
(.f64 (/.f64 (.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (/.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (.f64 1/9 (.f64 rand rand)))
(.f64 (.f64 rand (*.f64 rand 1/9)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)))
(/.f64 (/.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (.f64 1/9 (.f64 rand rand)))
(.f64 (.f64 rand (*.f64 rand 1/9)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)))
(/.f64 (/.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))) (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (.f64 1/9 (.f64 rand rand)))
(.f64 (.f64 rand (*.f64 rand 1/9)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)))
(pow.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1)
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) 2)
(pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))) 2)
(pow.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 3)
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(pow.f64 (.f64 (pow.f64 (+.f64 a -1/3) 2) (.f64 (pow.f64 rand 4) 1/81)) 1/2)
(sqrt.f64 (.f64 (pow.f64 (+.f64 -1/3 a) 2) (.f64 (pow.f64 rand 4) 1/81)))
(sqrt.f64 (pow.f64 (.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27)) 2))
(pow.f64 (pow.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3) 1/3)
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(sqrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) 2) (.f64 (pow.f64 rand 4) 1/81)))
(sqrt.f64 (.f64 (pow.f64 (+.f64 -1/3 a) 2) (.f64 (pow.f64 rand 4) 1/81)))
(sqrt.f64 (pow.f64 (.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27)) 2))
(log.f64 (exp.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(cbrt.f64 (pow.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (.f64 1/9 (*.f64 rand rand)) 3)))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(expm1.f64 (log1p.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(exp.f64 (log.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(log1p.f64 (expm1.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/9 (.f64 rand rand)))) 1)
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(pow.f64 (.f64 1/9 (.f64 rand rand)) 1)
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(pow.f64 (*.f64 rand 1/3) 2)
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(pow.f64 (cbrt.f64 (.f64 1/9 (.f64 rand rand))) 3)
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(pow.f64 (pow.f64 (.f64 1/9 (.f64 rand rand)) 3) 1/3)
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(sqrt.f64 (*.f64 (pow.f64 rand 4) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) (*.f64 rand rand)))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/9 (.f64 rand rand)))))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(cbrt.f64 (pow.f64 (.f64 1/9 (.f64 rand rand)) 3))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(expm1.f64 (log1p.f64 (.f64 1/9 (.f64 rand rand))))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(exp.f64 (.f64 2 (log.f64 (.f64 rand 1/3))))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))
(log1p.f64 (expm1.f64 (.f64 1/9 (.f64 rand rand))))
(.f64 1/9 (.f64 rand rand))
(.f64 rand (.f64 rand 1/9))

localize58.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 a -1/3))
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
✓	0.2b	(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
✓	0.4b	(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))

Compiler

Compiled 52 to 40 computations (23.1% saved)

series4.0ms (0%)

Counts

3 → 38

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
1.0ms	a	@	-inf	(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
1.0ms	a	@	-inf	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
0.0ms	a	@	inf	(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
0.0ms	a	@	0	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))

rewrite131.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`distribute-rgt-in`
1118×	`distribute-lft-in`
960×	`associate-/r*`
438×	`associate-/l*`
370×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	302	77
2	3925	77

Stop Event

1×	node limit

Counts

3 → 235

Calls

Call 1

Inputs
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))))

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

simplify181.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1032×	`associate-+r+`
1004×	`associate-+l+`
836×	`+-commutative`
732×	`associate-/l/`
714×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	652	14077
1	1685	13249
2	6621	13249

Stop Event

1×	node limit

Counts

273 → 347

Calls

Call 1

Inputs
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3)))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 -1/3 (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 1 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1/3)
(*.f64 (/.f64 1 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))) -1/3)
(.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))
(*.f64 (/.f64 1/3 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(pow.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)
(pow.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) -1)
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(cbrt.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 0)
(+.f64 1 (-.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 1))
(-.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))) (+.f64 (/.f64 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand)) (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))) 1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(/.f64 -1/3 (/.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) rand))
(/.f64 rand (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 1)
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))
(/.f64 (sqrt.f64 rand) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (sqrt.f64 rand)))
(/.f64 (cbrt.f64 rand) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (pow.f64 (cbrt.f64 rand) 2)))
(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (cbrt.f64 rand)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (sqrt.f64 (.f64 1/3 rand)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (.f64 1/3 rand))))
(/.f64 (.f64 (cbrt.f64 (.f64 1/3 rand)) (cbrt.f64 (.f64 1/3 rand))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (.f64 1/3 rand))))
(/.f64 (*.f64 1/3 (sqrt.f64 rand)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 rand)))
(/.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 rand)))
(/.f64 (*.f64 rand -1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 -1/3 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)
(/.f64 (neg.f64 (*.f64 1/3 rand)) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 rand (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 3))) (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(/.f64 (/.f64 rand (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 1 1/2)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))
(/.f64 (/.f64 (*.f64 rand -1/3) 1) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 rand -1/3) (pow.f64 (+.f64 a -1/3) 1/4)) (neg.f64 (pow.f64 (+.f64 a -1/3) 1/4)))
(/.f64 (/.f64 (*.f64 rand -1/3) (cbrt.f64 (+.f64 a -1/3))) (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 rand -1/3) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (.f64 rand -1/3) (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 rand -1/3) -1) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 rand -1/3) (neg.f64 (pow.f64 (+.f64 a -1/3) 1/4))) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (/.f64 (*.f64 rand -1/3) (neg.f64 (cbrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 -1/3 rand) 1) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 -1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (neg.f64 (pow.f64 (+.f64 a -1/3) 1/4)))
(/.f64 (/.f64 (*.f64 -1/3 rand) (cbrt.f64 (+.f64 a -1/3))) (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 -1/3 rand) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (.f64 -1/3 rand) (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 -1/3 rand) -1) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 -1/3 rand) (neg.f64 (pow.f64 (+.f64 a -1/3) 1/4))) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (/.f64 (*.f64 -1/3 rand) (neg.f64 (cbrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 rand 3) 1) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (/.f64 rand 3) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 rand 3) (pow.f64 1 1/2)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (/.f64 rand 3) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))
(/.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) 1) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)))
(/.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (sqrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))) (sqrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)))
(/.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 (+.f64 a -1/3))) 1) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
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(/.f64 (.f64 (-.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (fma.f64 a a -1/9)) (.f64 (-.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)) (+.f64 1/3 a)))
(/.f64 (.f64 (-.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (+.f64 -1/27 (pow.f64 a 3))) (.f64 (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 3)) (fma.f64 a a -1/9)) (.f64 (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)) (+.f64 1/3 a)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 3)) (+.f64 -1/27 (pow.f64 a 3))) (.f64 (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (.f64 (+.f64 a -1/3) (-.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand)))) 1) (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (.f64 (+.f64 a -1/3) (-.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand)))) (sqrt.f64 (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (.f64 (+.f64 a -1/3) (-.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand)))) (.f64 (cbrt.f64 (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))) (cbrt.f64 (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 3))) 1) (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 3))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 3))) (.f64 (cbrt.f64 (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))) (cbrt.f64 (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))))) (cbrt.f64 (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (fma.f64 a a -1/9)) 1) (+.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (/.f64 (.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (fma.f64 a a -1/9)) (.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (+.f64 1/3 a)))) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (/.f64 (.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) 1) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))
(/.f64 (/.f64 (.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 1) (+.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (/.f64 (.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (+.f64 1/3 a)))) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 1) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))
(/.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (+.f64 a -1/3)) 1) (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (+.f64 a -1/3)) (sqrt.f64 (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (+.f64 a -1/3)) (.f64 (cbrt.f64 (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))) (cbrt.f64 (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 3)) (+.f64 a -1/3)) 1) (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 3)) (+.f64 a -1/3)) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))) (sqrt.f64 (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 3)) (+.f64 a -1/3)) (.f64 (cbrt.f64 (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))) (cbrt.f64 (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))))) (cbrt.f64 (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (.f64 (fma.f64 a a -1/9) (-.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand)))) (+.f64 1/3 a)) (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 3))) (+.f64 1/3 a)) (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand)))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))) (-.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 3))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))) (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (fma.f64 a a -1/9)) (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))) (+.f64 1/3 a))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 3)) (fma.f64 a a -1/9)) (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))) (+.f64 1/3 a))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 3)) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (+.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand))) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))
(fma.f64 (+.f64 a -1/3) 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (.f64 rand (+.f64 a -1/3))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (.f64 rand (+.f64 a -1/3))))
(fma.f64 1 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (.f64 rand (+.f64 a -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (.f64 rand (+.f64 a -1/3))))

Outputs
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3)))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (*.f64 1/3 (sqrt.f64 -3)))
(fma.f64 1/3 (sqrt.f64 -3) (/.f64 (*.f64 -3/2 a) (sqrt.f64 -3)))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 a a))) (.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (/.f64 (.f64 -1/6 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (sqrt.f64 -3) (.f64 a a)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(fma.f64 -1/6 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (pow.f64 a 3))) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 a a))) (*.f64 1/3 (sqrt.f64 -3)))))
(fma.f64 -1/6 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) (pow.f64 a 3))) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (/.f64 (.f64 -1/6 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (sqrt.f64 -3) (.f64 a a))))))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(.f64 1/3 (.f64 (sqrt.f64 -3) rand))
(.f64 (sqrt.f64 -3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (/.f64 (.f64 (*.f64 -3/2 a) rand) (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 (.f64 a a) rand))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (/.f64 (sqrt.f64 -3) rand) (.f64 a a))) (/.f64 (.f64 (.f64 -3/2 a) rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -1/6 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (.f64 (pow.f64 a 3) rand))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 (.f64 a a) rand)))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -1/6 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) (.f64 (pow.f64 a 3) rand))) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (/.f64 (sqrt.f64 -3) rand) (.f64 a a))) (/.f64 (.f64 (*.f64 -3/2 a) rand) (sqrt.f64 -3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1))
(+.f64 -1/3 (.f64 (.f64 (sqrt.f64 -3) rand) -1/9))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (+.f64 1 (/.f64 (.f64 1/2 rand) (sqrt.f64 -3)))) (.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1)))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (.f64 (*.f64 (sqrt.f64 -3) rand) -1/9)))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (+.f64 1 (/.f64 (.f64 1/2 rand) (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1) (.f64 (.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))))))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 (.f64 1/18 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (sqrt.f64 -3) rand))) (+.f64 -1/3 (.f64 (*.f64 (sqrt.f64 -3) rand) -1/9))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (+.f64 1 (/.f64 (.f64 1/2 rand) (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1) (.f64 (.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand) (.f64 1/18 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 (.f64 1/18 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (sqrt.f64 -3) rand))) (+.f64 -1/3 (.f64 (*.f64 (sqrt.f64 -3) rand) -1/9)))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 -1/3 (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1/3)
(*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 (/.f64 1 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)))
(/.f64 (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 1 (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 1/3 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))) -1/3)
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))
(.f64 (/.f64 1/3 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))
(.f64 (/.f64 1/3 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))
(*.f64 (/.f64 1/3 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 2)
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) -1)
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(cbrt.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 0)
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(+.f64 1 (-.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 1))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(-.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) 1)
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))) (+.f64 (/.f64 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand)) (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))) 1))
(-.f64 (/.f64 1 (-.f64 1 (.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 1 (/.f64 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand)) (-.f64 1 (.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))
(+.f64 (/.f64 (-.f64 1 (/.f64 1/9 (/.f64 (+.f64 a -1/3) (.f64 rand rand)))) (+.f64 1 (.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3)))))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (/.f64 1/9 (/.f64 (+.f64 a -1/3) (.f64 rand rand)))) (+.f64 1 (.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 -1/3 (/.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) rand))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 rand (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) 1)
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (sqrt.f64 rand) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (sqrt.f64 rand)))
(.f64 (/.f64 (sqrt.f64 rand) (.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 rand))
(.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 rand) (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (cbrt.f64 rand) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (pow.f64 (cbrt.f64 rand) 2)))
(.f64 (/.f64 (cbrt.f64 rand) (.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (cbrt.f64 rand) 2))
(.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (cbrt.f64 rand) 2) (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (cbrt.f64 rand)))
(.f64 (/.f64 (cbrt.f64 rand) (.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (cbrt.f64 rand) 2))
(.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (cbrt.f64 rand) 2) (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (sqrt.f64 (.f64 1/3 rand)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (.f64 1/3 rand))))
(.f64 (/.f64 (sqrt.f64 (.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (*.f64 1/3 rand)))
(.f64 (sqrt.f64 (.f64 1/3 rand)) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 (cbrt.f64 (.f64 1/3 rand)) (cbrt.f64 (.f64 1/3 rand))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (.f64 1/3 rand))))
(.f64 (/.f64 (.f64 (cbrt.f64 (.f64 1/3 rand)) (cbrt.f64 (.f64 1/3 rand))) (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (*.f64 1/3 rand)))
(.f64 (cbrt.f64 (.f64 1/3 rand)) (/.f64 (cbrt.f64 (.f64 1/3 rand)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (.f64 1/3 rand)))))
(/.f64 (*.f64 1/3 (sqrt.f64 rand)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 rand)))
(.f64 (/.f64 (.f64 1/3 (sqrt.f64 rand)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand))
(.f64 (sqrt.f64 rand) (/.f64 (.f64 1/3 (sqrt.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 rand)))
(*.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)))
(/.f64 (*.f64 rand -1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 -1/3 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/2))
(/.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 1/3 rand) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 rand (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (neg.f64 (*.f64 1/3 rand)) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 rand 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (.f64 1/3 rand) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 rand (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 3))) (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 rand (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 1/3 rand) (.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))
(*.f64 (/.f64 1/3 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (/.f64 rand (fabs.f64 (cbrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 1 1/2)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))
(/.f64 (.f64 1/3 rand) (.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))
(*.f64 (/.f64 1/3 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (/.f64 rand (fabs.f64 (cbrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 rand -1/3) 1) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 rand -1/3) (pow.f64 (+.f64 a -1/3) 1/4)) (neg.f64 (pow.f64 (+.f64 a -1/3) 1/4)))
(/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/2))
(/.f64 (/.f64 (*.f64 rand -1/3) (cbrt.f64 (+.f64 a -1/3))) (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (.f64 1/3 rand) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 rand (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 rand -1/3) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (.f64 rand -1/3) (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 rand -1/3) -1) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 rand -1/3) (neg.f64 (pow.f64 (+.f64 a -1/3) 1/4))) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/2))
(/.f64 (/.f64 (*.f64 rand -1/3) (neg.f64 (cbrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 1/3 rand) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 rand (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 -1/3 rand) 1) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 -1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (neg.f64 (pow.f64 (+.f64 a -1/3) 1/4)))
(/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/2))
(/.f64 (/.f64 (*.f64 -1/3 rand) (cbrt.f64 (+.f64 a -1/3))) (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (.f64 1/3 rand) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 rand (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 -1/3 rand) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (.f64 -1/3 rand) (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 -1/3 rand) -1) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 -1/3 rand) (neg.f64 (pow.f64 (+.f64 a -1/3) 1/4))) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/2))
(/.f64 (/.f64 (*.f64 -1/3 rand) (neg.f64 (cbrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 1/3 rand) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 rand (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 rand 3) 1) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (/.f64 rand 3) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (.f64 1/3 rand) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 rand (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 1/3 rand) (.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))
(*.f64 (/.f64 1/3 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (/.f64 rand (fabs.f64 (cbrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (/.f64 rand 3) (pow.f64 1 1/2)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (/.f64 rand 3) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))
(/.f64 (.f64 1/3 rand) (.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))
(*.f64 (/.f64 1/3 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (/.f64 rand (fabs.f64 (cbrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) 1) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/2))
(/.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)))
(/.f64 1/3 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))) (/.f64 (pow.f64 (+.f64 a -1/3) 1/4) rand)))
(/.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (sqrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))) (sqrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)))
(/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/2))
(/.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (/.f64 (pow.f64 (+.f64 a -1/3) 1/4) rand)))
(/.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 (+.f64 a -1/3))) 1) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 1/3 rand) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 rand (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (.f64 1/3 rand) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 rand (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 (.f64 1/3 rand) (cbrt.f64 (+.f64 a -1/3))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (.f64 1/3 rand) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 rand (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)))
(/.f64 (/.f64 (.f64 1/3 rand) (cbrt.f64 (+.f64 a -1/3))) (.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))))
(/.f64 (.f64 1/3 rand) (.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (.f64 1/3 rand) (cbrt.f64 (+.f64 a -1/3))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (cbrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (/.f64 (cbrt.f64 (+.f64 a -1/3)) rand)))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 rand)) 1) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) 1/4)) (neg.f64 (pow.f64 (+.f64 a -1/3) 1/4)))
(/.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/2))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 rand)) (cbrt.f64 (+.f64 a -1/3))) (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (.f64 1/3 rand) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 rand (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 rand)) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (neg.f64 (.f64 1/3 rand)) (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
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(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) 3)))
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 1))
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (+.f64 a -1/3) 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (.f64 rand (+.f64 a -1/3))))
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (.f64 rand (+.f64 a -1/3))))
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 1 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (.f64 rand (+.f64 a -1/3))))
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (.f64 rand (+.f64 a -1/3))))
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 a))))
	0.3b	(*.f64 1/3 rand)
✓	0.3b	(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))

Compiler

Compiled 41 to 26 computations (36.6% saved)

series2.0ms (0%)

Counts

2 → 26

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
0.0ms	a	@	-inf	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 a))))
0.0ms	a	@	0	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 a))))
0.0ms	a	@	inf	(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
0.0ms	a	@	0	(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))

rewrite93.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`associate-/r*`
1300×	`associate-/l*`
1128×	`distribute-lft-in`
418×	`associate-/r/`
306×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	302	50
2	4103	50

Stop Event

1×	node limit

Counts

2 → 174

Calls

Call 1

Inputs
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 a))))

Outputs

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

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

simplify118.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1704×	`associate-/r*`
904×	`associate-+r+`
888×	`associate-+l+`
586×	`+-commutative`
440×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	451	9366
1	1184	8976
2	4486	8974

Stop Event

1×	node limit

Counts

200 → 258

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 0)
(+.f64 1 (-.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1))
(-.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a))))) (+.f64 (/.f64 (pow.f64 (.f64 1/3 rand) 2) (.f64 (-.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))) a)) 1))
(.f64 1/3 (.f64 rand (pow.f64 a -1/2)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(.f64 rand (.f64 1/3 (pow.f64 a -1/2)))
(.f64 (.f64 1/3 rand) (pow.f64 a -1/2))
(.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1)
(.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(.f64 (sqrt.f64 (.f64 1/3 rand)) (.f64 (sqrt.f64 (.f64 1/3 rand)) (pow.f64 a -1/2)))
(.f64 (sqrt.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (.f64 (cbrt.f64 (.f64 1/3 rand)) (pow.f64 a -1/2)))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 1/3 rand) 2) a)) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(.f64 (pow.f64 a -1/2) (.f64 1/3 rand))
(.f64 (.f64 rand -1/3) (/.f64 -1 (sqrt.f64 a)))
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 rand (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 1/3 (/.f64 (cbrt.f64 (sqrt.f64 a)) rand)))
(*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)
(*.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
(.f64 (/.f64 -1 (sqrt.f64 a)) (.f64 rand -1/3))
(*.f64 (/.f64 1/3 (pow.f64 a 1/4)) (/.f64 rand (pow.f64 a 1/4)))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 rand (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(.f64 (/.f64 (sqrt.f64 (.f64 1/3 rand)) 1) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/3 rand)) (sqrt.f64 a)) (sqrt.f64 (*.f64 1/3 rand)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/3 rand)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (cbrt.f64 (sqrt.f64 a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 a 1/4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (cbrt.f64 a)) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (sqrt.f64 rand))) (sqrt.f64 rand))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 a) 1/3)) rand)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (sqrt.f64 a)) (cbrt.f64 (*.f64 1/3 rand)))
(*.f64 (/.f64 1/3 (neg.f64 (sqrt.f64 a))) (neg.f64 rand))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) 1)) rand)
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2))) (cbrt.f64 (*.f64 1/3 rand)))
(pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1)
(pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 3)
(pow.f64 (*.f64 (sqrt.f64 a) (/.f64 3 rand)) -1)
(pow.f64 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3) 1/3)
(neg.f64 (/.f64 1/3 (/.f64 (neg.f64 (sqrt.f64 a)) rand)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a))
(log.f64 (exp.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(exp.f64 (log.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(+.f64 a (+.f64 -1/3 (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3))))
(+.f64 a (+.f64 -1/3 (.f64 (.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) 1)))
(+.f64 a (.f64 1 (+.f64 -1/3 (.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))))
(+.f64 -1/3 (+.f64 a (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3))))
(+.f64 -1/3 (+.f64 a (.f64 (.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) 1)))
(+.f64 -1/3 (.f64 1 (+.f64 a (.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(+.f64 (+.f64 a -1/3) (.f64 (.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) 1))
(+.f64 (+.f64 a -1/3) (.f64 1 (.f64 (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) 1)))
(+.f64 (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (+.f64 -1/3 (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3))) a)
(+.f64 (+.f64 a (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3))) -1/3)
(+.f64 (.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) a) (.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) -1/3))
(+.f64 (.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) -1/3) (.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) a))
(+.f64 (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) a) (+.f64 (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) -1/3) (+.f64 a -1/3)))
(+.f64 (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) -1/3) (+.f64 (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) a) (+.f64 a -1/3)))
(+.f64 (.f64 (.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) 1) (+.f64 a -1/3))
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(/.f64 (/.f64 (.f64 (-.f64 1 (/.f64 (pow.f64 (.f64 1/3 rand) 2) a)) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a))))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3)) (fma.f64 a a -1/9)) (+.f64 (/.f64 (pow.f64 (.f64 1/3 rand) 2) a) (-.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))) (+.f64 1/3 a))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 (.f64 1/3 rand) 2) a) (-.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1)) 1)
(pow.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1))) 2)
(pow.f64 (cbrt.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1))) 3)
(pow.f64 (pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1)) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1))))
(exp.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(exp.f64 (.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (log1p.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))))) 1))
(log1p.f64 (expm1.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1))))
(fma.f64 (+.f64 a -1/3) 1 (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(fma.f64 1 (+.f64 a -1/3) (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))

Outputs
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 (.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 (.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 (.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (.f64 rand (+.f64 a -1/3))) -1/3))
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(.f64 (.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 (*.f64 1/3 rand) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 1/3 (*.f64 rand (+.f64 a -1/3))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 (.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 (.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 (.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (.f64 rand (+.f64 a -1/3))) -1/3))
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(.f64 (.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 (*.f64 1/3 rand) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 1/3 (*.f64 rand (+.f64 a -1/3))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 (.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 (.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (.f64 (.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 0)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(+.f64 1 (-.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(-.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) 1)
(+.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) -1)
(+.f64 (.f64 1/3 (.f64 rand (pow.f64 a -1/2))) 0)
(+.f64 0 (.f64 1/3 (.f64 rand (pow.f64 a -1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (*.f64 rand (pow.f64 a -1/2)) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a))))) (+.f64 (/.f64 (pow.f64 (.f64 1/3 rand) 2) (.f64 (-.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))) a)) 1))
(-.f64 (/.f64 1 (-.f64 1 (.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (.f64 1/3 rand) 2) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) a)))
(+.f64 (/.f64 (-.f64 1 (/.f64 (.f64 1/9 (.f64 rand rand)) a)) (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (/.f64 (.f64 1/9 (.f64 rand rand)) a)) (+.f64 1 (/.f64 -1/3 (/.f64 (sqrt.f64 a) rand)))))
(.f64 1/3 (.f64 rand (pow.f64 a -1/2)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(.f64 rand (.f64 1/3 (pow.f64 a -1/2)))
(.f64 1/3 (.f64 rand (pow.f64 a -1/2)))
(.f64 (.f64 1/3 rand) (pow.f64 a -1/2))
(.f64 1/3 (.f64 rand (pow.f64 a -1/2)))
(.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(.f64 (sqrt.f64 (.f64 1/3 rand)) (.f64 (sqrt.f64 (.f64 1/3 rand)) (pow.f64 a -1/2)))
(.f64 1/3 (.f64 rand (pow.f64 a -1/2)))
(.f64 (sqrt.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (.f64 (cbrt.f64 (.f64 1/3 rand)) (pow.f64 a -1/2)))
(.f64 1/3 (.f64 rand (pow.f64 a -1/2)))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)))
(.f64 (cbrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (/.f64 (.f64 1/9 (.f64 rand rand)) a)))
(.f64 (cbrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (.f64 1/9 (.f64 rand rand)) a)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 1/3 rand) 2) a)) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(.f64 (cbrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (/.f64 (.f64 1/9 (.f64 rand rand)) a)))
(.f64 (cbrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (.f64 1/9 (.f64 rand rand)) a)))
(.f64 (pow.f64 a -1/2) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (pow.f64 a -1/2)))
(.f64 (.f64 rand -1/3) (/.f64 -1 (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 rand (/.f64 (pow.f64 a 1/4) 1/3)))
(.f64 (/.f64 1 (pow.f64 a 1/4)) (.f64 (/.f64 rand (pow.f64 a 1/4)) 1/3))
(/.f64 rand (/.f64 (pow.f64 a 1/4) (/.f64 1/3 (pow.f64 a 1/4))))
(/.f64 rand (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 1/3 (/.f64 (cbrt.f64 (sqrt.f64 a)) rand)))
(.f64 (/.f64 1 (cbrt.f64 a)) (.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) rand))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 rand (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))
(.f64 (/.f64 1 (pow.f64 a 1/4)) (.f64 (/.f64 rand (pow.f64 a 1/4)) 1/3))
(/.f64 rand (/.f64 (pow.f64 a 1/4) (/.f64 1/3 (pow.f64 a 1/4))))
(/.f64 rand (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(.f64 (/.f64 -1 (sqrt.f64 a)) (.f64 rand -1/3))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (pow.f64 a 1/4)) (/.f64 rand (pow.f64 a 1/4)))
(.f64 (/.f64 1 (pow.f64 a 1/4)) (.f64 (/.f64 rand (pow.f64 a 1/4)) 1/3))
(/.f64 rand (/.f64 (pow.f64 a 1/4) (/.f64 1/3 (pow.f64 a 1/4))))
(/.f64 rand (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 rand (cbrt.f64 (sqrt.f64 a))))
(.f64 (/.f64 1 (cbrt.f64 a)) (.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) rand))
(*.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(.f64 (/.f64 1 (cbrt.f64 a)) (.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) rand))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 rand (cbrt.f64 (sqrt.f64 a))))
(.f64 (/.f64 (sqrt.f64 (.f64 1/3 rand)) 1) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/3 rand)) (sqrt.f64 a)) (sqrt.f64 (*.f64 1/3 rand)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/3 rand)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (cbrt.f64 (sqrt.f64 a))))
(.f64 (/.f64 1 (cbrt.f64 a)) (.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) rand))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 rand (cbrt.f64 (sqrt.f64 a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 a 1/4)))
(.f64 (/.f64 1 (pow.f64 a 1/4)) (.f64 (/.f64 rand (pow.f64 a 1/4)) 1/3))
(/.f64 rand (/.f64 (pow.f64 a 1/4) (/.f64 1/3 (pow.f64 a 1/4))))
(/.f64 rand (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (cbrt.f64 a)) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (cbrt.f64 a))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (cbrt.f64 a)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (/.f64 (cbrt.f64 a) (cbrt.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (sqrt.f64 rand))) (sqrt.f64 rand))
(.f64 (sqrt.f64 rand) (.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 rand)))
(.f64 (/.f64 1/3 (sqrt.f64 a)) (.f64 (sqrt.f64 rand) (sqrt.f64 rand)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 a) 1/3)) rand)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (sqrt.f64 a)) (cbrt.f64 (*.f64 1/3 rand)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (neg.f64 (sqrt.f64 a))) (neg.f64 rand))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) 1)) rand)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
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(.f64 (fma.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 1) (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (+.f64 (+.f64 1 (/.f64 -1/3 (/.f64 (sqrt.f64 a) rand))) (/.f64 (.f64 1/9 (.f64 rand rand)) a))))
(pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1)) 1)
(.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(.f64 (fma.f64 rand (.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(.f64 (fma.f64 1/3 (.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(pow.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1))) 2)
(.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(.f64 (fma.f64 rand (.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(.f64 (fma.f64 1/3 (.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(pow.f64 (cbrt.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1))) 3)
(.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(.f64 (fma.f64 rand (.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(.f64 (fma.f64 1/3 (.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(pow.f64 (pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1)) 3) 1/3)
(.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(.f64 (fma.f64 rand (.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(.f64 (fma.f64 1/3 (.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(sqrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1)) 2))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3)) 2))
(fabs.f64 (.f64 (fma.f64 rand (.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3)))
(fabs.f64 (.f64 (fma.f64 1/3 (.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)))
(.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(.f64 (fma.f64 rand (.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(.f64 (fma.f64 1/3 (.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1)))))
(.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(.f64 (fma.f64 rand (.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(.f64 (fma.f64 1/3 (.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(cbrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1)) 3))
(.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(.f64 (fma.f64 rand (.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(.f64 (fma.f64 1/3 (.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) 3)))
(.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(.f64 (fma.f64 rand (.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(.f64 (fma.f64 1/3 (.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(.f64 (fma.f64 rand (.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(.f64 (fma.f64 1/3 (.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(expm1.f64 (log1p.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1))))
(.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(.f64 (fma.f64 rand (.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(.f64 (fma.f64 1/3 (.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(exp.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(exp.f64 (+.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (log.f64 (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (exp.f64 (log1p.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(.f64 (+.f64 a -1/3) (exp.f64 (log1p.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(exp.f64 (.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (log1p.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))))) 1))
(exp.f64 (+.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (log.f64 (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (exp.f64 (log1p.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(.f64 (+.f64 a -1/3) (exp.f64 (log1p.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1))))
(.f64 (fma.f64 (.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(.f64 (fma.f64 rand (.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(.f64 (fma.f64 1/3 (.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(fma.f64 (+.f64 a -1/3) 1 (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(.f64 (+.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 1 (+.f64 a -1/3) (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(.f64 (+.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(.f64 (+.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(.f64 (+.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))

eval456.0ms (5%)

Compiler: Compiled 20134 to 15072 computations (25.1% saved)

prune264.0ms (2.9%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	881	1	882
Fresh	0	1	1
Picked	0	1	1
Done	2	5	7
Total	883	8	891

Error

Counts

891 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	17.8b	(-.f64 a 1/3)
✓	0.7b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 a))))
✓	0.7b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	45.1b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
▶	45.0b	(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
✓	45.1b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	19.2b	a

Compiler

Compiled 80 to 63 computations (21.3% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1/27 (*.f64 a 1/9))
✓	0.1b	(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
✓	0.2b	(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
✓	0.4b	(*.f64 a 1/9)

Compiler

Compiled 28 to 21 computations (25% saved)

series11.0ms (0.1%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	rand	@	-inf	(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
2.0ms	a	@	-inf	(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
1.0ms	rand	@	0	(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
0.0ms	a	@	0	(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
0.0ms	a	@	inf	(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)

rewrite114.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`*-commutative`
670×	`unswap-sqr`
566×	`swap-sqr`
426×	`associate-*r/`
388×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	60
1	228	48
2	2720	48

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

Inputs
(*.f64 a 1/9)
(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(+.f64 -1/27 (*.f64 a 1/9))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 a 1/9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 a 1/9))) (exp.f64 (log1p.f64 (.f64 a 1/9)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 a 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 a) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a 1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 a 3) 1/729) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 a a) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 a 3) 1/729))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a 1/9)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (sqrt.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)))) (sqrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (sqrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)))) (sqrt.f64 (+.f64 -1/27 (.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729))) rand) (sqrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81))) rand) (sqrt.f64 (+.f64 -1/27 (.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729))) (.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81))) (.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))))))
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(sqrt.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729))) (sqrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81))) (sqrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (+.f64 -1/27 (.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729))) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)) (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81))) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)) (cbrt.f64 (+.f64 -1/27 (.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729))) (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81))) (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/531441 (.f64 1/6561 (pow.f64 a 4))) (/.f64 1 (+.f64 -1/27 (.f64 a -1/9)))) (+.f64 (.f64 (.f64 a a) 1/81) 1/729))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/387420489 (pow.f64 (.f64 (.f64 a a) 1/81) 3)) (/.f64 1 (+.f64 -1/27 (.f64 a -1/9)))) (+.f64 (+.f64 1/531441 (.f64 1/6561 (pow.f64 a 4))) (.f64 1/59049 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/387420489 (.f64 1/531441 (pow.f64 a 6))) (/.f64 1 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a))))) (-.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1/7625597484987 (pow.f64 (.f64 (pow.f64 a 3) 1/729) 3)) 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(+.f64 1/729 (.f64 1/243 a))))) (sqrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))) (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))))) (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9))) (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9)))) (.f64 (/.f64 (.f64 (.f64 a a) 1/81) (+.f64 -1/27 (.f64 a -1/9))) (/.f64 (.f64 (.f64 a a) 1/81) (+.f64 -1/27 (.f64 a -1/9))))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9))) (/.f64 (.f64 (.f64 a a) 1/81) (+.f64 -1/27 (.f64 a -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 1/9 -1/27) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (+.f64 1/27 (neg.f64 (.f64 a -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)) (+.f64 -1/729 (neg.f64 (+.f64 (.f64 (.f64 a a) 1/81) (.f64 1/243 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1/9 -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/9 a -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a 1/9) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 a) 1/3) (.f64 (sqrt.f64 a) 1/3) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a 1/9)) 2) (cbrt.f64 (.f64 a 1/9)) -1/27)))))

simplify142.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

948×	`associate-*r/`
824×	`associate-*l/`
712×	`associate-r`
630×	`associate-/r/`
560×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	478	7899
1	1167	6813
2	4520	6813

Stop Event

1×	node limit

Counts

227 → 324

Calls

Call 1

Inputs
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 (sqrt.f64 -1/27) rand)
(+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand))
(+.f64 (.f64 -1/648 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand)))
(+.f64 (.f64 -1/648 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (+.f64 (.f64 1/11664 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/27) 5))) (*.f64 (sqrt.f64 -1/27) rand))))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(sqrt.f64 -1/27)
(+.f64 (sqrt.f64 -1/27) (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))))
(+.f64 (sqrt.f64 -1/27) (+.f64 (.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3)))))
(+.f64 (sqrt.f64 -1/27) (+.f64 (.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5))) (+.f64 (.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (*.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3))))))
-1/27
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 a 1/9))) (exp.f64 (log1p.f64 (.f64 a 1/9)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 a 1/9))) 1))
(pow.f64 (*.f64 a 1/9) 1)
(pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)
(pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)
(pow.f64 (*.f64 (pow.f64 a 3) 1/729) 1/3)
(sqrt.f64 (.f64 (.f64 a a) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/9))))
(cbrt.f64 (*.f64 (pow.f64 a 3) 1/729))
(expm1.f64 (log1p.f64 (*.f64 a 1/9)))
(exp.f64 (log.f64 (*.f64 a 1/9)))
(log1p.f64 (expm1.f64 (*.f64 a 1/9)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) 1)
(/.f64 (.f64 rand (sqrt.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)))) (sqrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (.f64 rand (sqrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)))) (sqrt.f64 (+.f64 -1/27 (.f64 a -1/9))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729))) rand) (sqrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81))) rand) (sqrt.f64 (+.f64 -1/27 (.f64 a -1/9))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729))) (.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81))) (.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) 1))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 3) 1/3)
(sqrt.f64 (.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) (pow.f64 rand 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))
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(/.f64 (.f64 (cbrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81))) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)) (cbrt.f64 (+.f64 -1/27 (.f64 a -1/9))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729))) (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81))) (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (.f64 (-.f64 1/531441 (.f64 1/6561 (pow.f64 a 4))) (/.f64 1 (+.f64 -1/27 (.f64 a -1/9)))) (+.f64 (.f64 (*.f64 a a) 1/81) 1/729))
(/.f64 (.f64 (-.f64 1/387420489 (pow.f64 (.f64 (.f64 a a) 1/81) 3)) (/.f64 1 (+.f64 -1/27 (.f64 a -1/9)))) (+.f64 (+.f64 1/531441 (.f64 1/6561 (pow.f64 a 4))) (.f64 1/59049 (*.f64 a a))))
(/.f64 (.f64 (-.f64 1/387420489 (.f64 1/531441 (pow.f64 a 6))) (/.f64 1 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a))))) (-.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)))
(/.f64 (.f64 (+.f64 -1/7625597484987 (pow.f64 (.f64 (pow.f64 a 3) 1/729) 3)) (/.f64 1 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a))))) (+.f64 1/387420489 (+.f64 (.f64 1/531441 (pow.f64 a 6)) (.f64 1/19683 (.f64 (pow.f64 a 3) 1/729)))))
(/.f64 (/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) 1) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (sqrt.f64 (+.f64 -1/27 (.f64 a -1/9)))) (sqrt.f64 (+.f64 -1/27 (.f64 a -1/9))))
(/.f64 (/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (.f64 (cbrt.f64 (+.f64 -1/27 (.f64 a -1/9))) (cbrt.f64 (+.f64 -1/27 (.f64 a -1/9))))) (cbrt.f64 (+.f64 -1/27 (.f64 a -1/9))))
(/.f64 (/.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)) 1) (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a))))
(/.f64 (/.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)) (sqrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a))))) (sqrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (/.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))) (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))))) (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) 1))
(/.f64 (-.f64 (.f64 (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9))) (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9)))) (.f64 (/.f64 (.f64 (.f64 a a) 1/81) (+.f64 -1/27 (.f64 a -1/9))) (/.f64 (.f64 (.f64 a a) 1/81) (+.f64 -1/27 (.f64 a -1/9))))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9))) (/.f64 (.f64 (.f64 a a) 1/81) (+.f64 -1/27 (.f64 a -1/9)))))
(pow.f64 (fma.f64 a 1/9 -1/27) 1)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 2)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 4)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 6)
(pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 2/3)
(neg.f64 (/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (+.f64 1/27 (neg.f64 (*.f64 a -1/9)))))
(neg.f64 (/.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)) (+.f64 -1/729 (neg.f64 (+.f64 (.f64 (.f64 a a) 1/81) (.f64 1/243 a))))))
(sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))
(log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))
(expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))
(exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))
(log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 a 1/9 -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1 (*.f64 a 1/9) -1/27)
(fma.f64 (.f64 (sqrt.f64 a) 1/3) (.f64 (sqrt.f64 a) 1/3) -1/27)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a 1/9)) 2) (cbrt.f64 (.f64 a 1/9)) -1/27)

Outputs
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 (sqrt.f64 -1/27) rand)
(+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand))
(fma.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27)) (.f64 (sqrt.f64 -1/27) rand))
(fma.f64 (sqrt.f64 -1/27) rand (.f64 1/18 (.f64 (/.f64 a (sqrt.f64 -1/27)) rand)))
(fma.f64 1/18 (.f64 (/.f64 rand (sqrt.f64 -1/27)) a) (.f64 (sqrt.f64 -1/27) rand))
(+.f64 (.f64 -1/648 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand)))
(fma.f64 -1/648 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3)) (fma.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27)) (.f64 (sqrt.f64 -1/27) rand)))
(+.f64 (fma.f64 (sqrt.f64 -1/27) rand (.f64 1/18 (.f64 (/.f64 a (sqrt.f64 -1/27)) rand))) (.f64 1/24 (/.f64 (.f64 a (*.f64 a rand)) (sqrt.f64 -1/27))))
(+.f64 (fma.f64 1/18 (.f64 (/.f64 rand (sqrt.f64 -1/27)) a) (.f64 (sqrt.f64 -1/27) rand)) (.f64 (/.f64 (.f64 1/24 (*.f64 a a)) (sqrt.f64 -1/27)) rand))
(+.f64 (.f64 -1/648 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (+.f64 (.f64 1/11664 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/27) 5))) (*.f64 (sqrt.f64 -1/27) rand))))
(fma.f64 -1/648 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3)) (fma.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27)) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/27) 5) rand)) (.f64 (sqrt.f64 -1/27) rand))))
(+.f64 (.f64 1/24 (/.f64 (.f64 a (.f64 a rand)) (sqrt.f64 -1/27))) (fma.f64 1/18 (.f64 (/.f64 a (sqrt.f64 -1/27)) rand) (fma.f64 (sqrt.f64 -1/27) rand (*.f64 1/11664 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/27) 5) rand))))))
(+.f64 (.f64 (/.f64 (.f64 1/24 (.f64 a a)) (sqrt.f64 -1/27)) rand) (fma.f64 1/18 (.f64 (/.f64 rand (sqrt.f64 -1/27)) a) (fma.f64 (sqrt.f64 -1/27) rand (.f64 (/.f64 1/11664 (pow.f64 (sqrt.f64 -1/27) 5)) (.f64 rand (pow.f64 a 3))))))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(sqrt.f64 -1/27)
(+.f64 (sqrt.f64 -1/27) (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))))
(fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (sqrt.f64 -1/27))
(+.f64 (sqrt.f64 -1/27) (+.f64 (.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3)))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (/.f64 (.f64 -1/648 (.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (.f64 1/24 (/.f64 (.f64 a a) (sqrt.f64 -1/27)))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (/.f64 (.f64 1/24 (.f64 a a)) (sqrt.f64 -1/27))))
(+.f64 (sqrt.f64 -1/27) (+.f64 (.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5))) (+.f64 (.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (*.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3))))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5)) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (/.f64 (.f64 -1/648 (.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3)))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5)) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (.f64 1/24 (/.f64 (.f64 a a) (sqrt.f64 -1/27))))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5)) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (/.f64 (.f64 1/24 (.f64 a a)) (sqrt.f64 -1/27)))))
-1/27
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) -1)
(*.f64 1/9 a)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1)
(*.f64 1/9 a)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 a 1/9))) (exp.f64 (log1p.f64 (.f64 a 1/9)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 a 1/9))) 1))
(/.f64 (.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 1/9 a))) 1) (.f64 1/9 a)) (+.f64 (exp.f64 (log1p.f64 (.f64 1/9 a))) 1))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 1/9 a)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) 1))
(pow.f64 (*.f64 a 1/9) 1)
(*.f64 1/9 a)
(pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)
(pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)
(*.f64 1/9 a)
(pow.f64 (*.f64 (pow.f64 a 3) 1/729) 1/3)
(cbrt.f64 (*.f64 (pow.f64 a 3) 1/729))
(sqrt.f64 (.f64 (.f64 a a) 1/81))
(sqrt.f64 (.f64 a (.f64 a 1/81)))
(log.f64 (pow.f64 (exp.f64 1/9) a))
(*.f64 1/9 a)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/9))))
(*.f64 1/9 a)
(cbrt.f64 (*.f64 (pow.f64 a 3) 1/729))
(expm1.f64 (log1p.f64 (*.f64 a 1/9)))
(*.f64 1/9 a)
(exp.f64 (log.f64 (*.f64 a 1/9)))
(*.f64 1/9 a)
(log1p.f64 (expm1.f64 (*.f64 a 1/9)))
(*.f64 1/9 a)
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) -1)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) 1)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(/.f64 (.f64 rand (sqrt.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)))) (sqrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 a 3) 1/729) -1/19683)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (.f64 a a) 1/81 1/729) (*.f64 a 1/243))) rand))
(/.f64 (.f64 rand (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683))) (sqrt.f64 (fma.f64 a (.f64 a 1/81) (fma.f64 a 1/243 1/729))))
(.f64 (/.f64 rand (sqrt.f64 (fma.f64 a (.f64 a 1/81) (fma.f64 a 1/243 1/729)))) (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)))
(/.f64 (.f64 rand (sqrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)))) (sqrt.f64 (+.f64 -1/27 (.f64 a -1/9))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a -1/9))) (sqrt.f64 (+.f64 1/729 (.f64 a (*.f64 a -1/81))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 a -1/81) 1/729)) (sqrt.f64 (fma.f64 a -1/9 -1/27))) rand)
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) -1/81 1/729)) (/.f64 (sqrt.f64 (fma.f64 a -1/9 -1/27)) rand))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729))) rand) (sqrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 a 3) 1/729) -1/19683)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (.f64 a a) 1/81 1/729) (*.f64 a 1/243))) rand))
(/.f64 (.f64 rand (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683))) (sqrt.f64 (fma.f64 a (.f64 a 1/81) (fma.f64 a 1/243 1/729))))
(.f64 (/.f64 rand (sqrt.f64 (fma.f64 a (.f64 a 1/81) (fma.f64 a 1/243 1/729)))) (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81))) rand) (sqrt.f64 (+.f64 -1/27 (.f64 a -1/9))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a -1/9))) (sqrt.f64 (+.f64 1/729 (.f64 a (*.f64 a -1/81))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 a -1/81) 1/729)) (sqrt.f64 (fma.f64 a -1/9 -1/27))) rand)
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) -1/81 1/729)) (/.f64 (sqrt.f64 (fma.f64 a -1/9 -1/27)) rand))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729))) (.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))))
(/.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 a 3) 1/729) -1/19683)) (/.f64 (cbrt.f64 (+.f64 (fma.f64 (.f64 a a) 1/81 1/729) (.f64 a 1/243))) (.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))) (cbrt.f64 (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729))))
(.f64 (/.f64 (.f64 rand (cbrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683))) (cbrt.f64 (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81))) (.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (cbrt.f64 (+.f64 1/729 (.f64 a (.f64 a -1/81)))) (/.f64 (cbrt.f64 (+.f64 -1/27 (.f64 a -1/9))) (.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))))
(/.f64 (.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) (/.f64 (cbrt.f64 (fma.f64 a -1/9 -1/27)) (cbrt.f64 (fma.f64 a (.f64 a -1/81) 1/729))))
(.f64 (.f64 (/.f64 (cbrt.f64 (fma.f64 (*.f64 a a) -1/81 1/729)) (cbrt.f64 (fma.f64 a -1/9 -1/27))) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) rand)
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(/.f64 (.f64 (-.f64 1/531441 (.f64 1/6561 (pow.f64 a 4))) (/.f64 1 (+.f64 -1/27 (.f64 a -1/9)))) (+.f64 (.f64 (*.f64 a a) 1/81) 1/729))
(/.f64 (+.f64 1/531441 (.f64 -1/6561 (pow.f64 a 4))) (.f64 (+.f64 -1/27 (.f64 a -1/9)) (fma.f64 (.f64 a a) 1/81 1/729)))
(/.f64 (+.f64 1/531441 (.f64 (pow.f64 a 4) -1/6561)) (.f64 (fma.f64 a -1/9 -1/27) (fma.f64 a (*.f64 a 1/81) 1/729)))
(/.f64 (.f64 (-.f64 1/387420489 (pow.f64 (.f64 (.f64 a a) 1/81) 3)) (/.f64 1 (+.f64 -1/27 (.f64 a -1/9)))) (+.f64 (+.f64 1/531441 (.f64 1/6561 (pow.f64 a 4))) (.f64 1/59049 (*.f64 a a))))
(/.f64 (-.f64 1/387420489 (.f64 (pow.f64 (.f64 a a) 3) 1/531441)) (.f64 (+.f64 -1/27 (.f64 a -1/9)) (+.f64 1/531441 (+.f64 (.f64 1/6561 (pow.f64 a 4)) (.f64 (*.f64 a a) 1/59049)))))
(/.f64 (+.f64 1/387420489 (.f64 (pow.f64 a 6) -1/531441)) (.f64 (fma.f64 a -1/9 -1/27) (fma.f64 (*.f64 a a) 1/59049 (fma.f64 1/6561 (pow.f64 a 4) 1/531441))))
(/.f64 (.f64 (-.f64 1/387420489 (.f64 1/531441 (pow.f64 a 6))) (/.f64 1 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a))))) (-.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)))
(/.f64 (/.f64 (+.f64 1/387420489 (.f64 -1/531441 (pow.f64 a 6))) (+.f64 (fma.f64 (.f64 a a) 1/81 1/729) (.f64 a 1/243))) (+.f64 -1/19683 (.f64 (pow.f64 a 3) -1/729)))
(/.f64 (+.f64 1/387420489 (.f64 (pow.f64 a 6) -1/531441)) (.f64 (fma.f64 a (.f64 a 1/81) (fma.f64 a 1/243 1/729)) (+.f64 -1/19683 (.f64 (pow.f64 a 3) -1/729))))
(/.f64 (+.f64 1/387420489 (.f64 (pow.f64 a 6) -1/531441)) (.f64 (fma.f64 a (.f64 a 1/81) (fma.f64 a 1/243 1/729)) (-.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729))))
(/.f64 (.f64 (+.f64 -1/7625597484987 (pow.f64 (.f64 (pow.f64 a 3) 1/729) 3)) (/.f64 1 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a))))) (+.f64 1/387420489 (+.f64 (.f64 1/531441 (pow.f64 a 6)) (.f64 1/19683 (.f64 (pow.f64 a 3) 1/729)))))
(/.f64 (+.f64 -1/7625597484987 (.f64 (pow.f64 (pow.f64 a 3) 3) 1/387420489)) (.f64 (+.f64 (fma.f64 (.f64 a a) 1/81 1/729) (.f64 a 1/243)) (+.f64 1/387420489 (fma.f64 1/531441 (pow.f64 a 6) (.f64 (.f64 (pow.f64 a 3) 1/729) 1/19683)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) 1/387420489 -1/7625597484987) (.f64 (fma.f64 a (.f64 a 1/81) (fma.f64 a 1/243 1/729)) (+.f64 1/387420489 (fma.f64 1/531441 (pow.f64 a 6) (*.f64 (pow.f64 a 3) 1/14348907)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) 1/387420489 -1/7625597484987) (fma.f64 a (.f64 a 1/81) (fma.f64 a 1/243 1/729))) (+.f64 1/387420489 (fma.f64 1/531441 (pow.f64 a 6) (.f64 (pow.f64 a 3) 1/14348907))))
(/.f64 (/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) 1) (+.f64 -1/27 (*.f64 a -1/9)))
(-.f64 (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9))) (/.f64 (.f64 a a) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) 1/81)))
(/.f64 (fma.f64 a (*.f64 a -1/81) 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (sqrt.f64 (+.f64 -1/27 (.f64 a -1/9)))) (sqrt.f64 (+.f64 -1/27 (.f64 a -1/9))))
(-.f64 (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9))) (/.f64 (.f64 a a) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) 1/81)))
(/.f64 (fma.f64 a (*.f64 a -1/81) 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (.f64 (cbrt.f64 (+.f64 -1/27 (.f64 a -1/9))) (cbrt.f64 (+.f64 -1/27 (.f64 a -1/9))))) (cbrt.f64 (+.f64 -1/27 (.f64 a -1/9))))
(-.f64 (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9))) (/.f64 (.f64 a a) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) 1/81)))
(/.f64 (fma.f64 a (*.f64 a -1/81) 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (/.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)) 1) (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a))))
(.f64 (+.f64 (.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 (fma.f64 (.f64 a a) 1/81 1/729) (.f64 a 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))
(/.f64 (/.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)) (sqrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a))))) (sqrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(.f64 (+.f64 (.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 (fma.f64 (.f64 a a) 1/81 1/729) (.f64 a 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))
(/.f64 (/.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))) (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (.f64 1/243 a)))))) (cbrt.f64 (+.f64 (.f64 (.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(.f64 (+.f64 (.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 (fma.f64 (.f64 a a) 1/81 1/729) (.f64 a 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))) (fma.f64 1/9 a -1/27)) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/9 a -1/27)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))))
(/.f64 (-.f64 (.f64 (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9))) (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9)))) (.f64 (/.f64 (.f64 (.f64 a a) 1/81) (+.f64 -1/27 (.f64 a -1/9))) (/.f64 (.f64 (.f64 a a) 1/81) (+.f64 -1/27 (.f64 a -1/9))))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9))) (/.f64 (.f64 (.f64 a a) 1/81) (+.f64 -1/27 (.f64 a -1/9)))))
(/.f64 (-.f64 (.f64 (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9))) (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9)))) (.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 -1/27 (.f64 a -1/9)) 1/81)) (/.f64 (.f64 a a) (/.f64 (+.f64 -1/27 (.f64 a -1/9)) 1/81)))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (.f64 a -1/9))) (/.f64 (.f64 a a) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) 1/81))))
(/.f64 (-.f64 (/.f64 (/.f64 1/531441 (fma.f64 a -1/9 -1/27)) (fma.f64 a -1/9 -1/27)) (/.f64 (/.f64 (.f64 1/6561 (pow.f64 a 4)) (fma.f64 a -1/9 -1/27)) (fma.f64 a -1/9 -1/27))) (+.f64 (/.f64 1/729 (fma.f64 a -1/9 -1/27)) (/.f64 (.f64 a a) (/.f64 (fma.f64 a -1/9 -1/27) 1/81))))
(/.f64 (+.f64 (/.f64 1/531441 (.f64 (fma.f64 a -1/9 -1/27) (fma.f64 a -1/9 -1/27))) (/.f64 (/.f64 (.f64 (pow.f64 a 4) -1/6561) (fma.f64 a -1/9 -1/27)) (fma.f64 a -1/9 -1/27))) (+.f64 (/.f64 1/729 (fma.f64 a -1/9 -1/27)) (.f64 (/.f64 (.f64 a a) (fma.f64 a -1/9 -1/27)) 1/81)))
(pow.f64 (fma.f64 a 1/9 -1/27) 1)
(fma.f64 1/9 a -1/27)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 2)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 4)
(fma.f64 1/9 a -1/27)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 6)
(fma.f64 1/9 a -1/27)
(pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 2))
(fabs.f64 (fma.f64 1/9 a -1/27))
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/3)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 2/3)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2)))
(neg.f64 (/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (+.f64 1/27 (neg.f64 (*.f64 a -1/9)))))
(/.f64 (fma.f64 (*.f64 a a) 1/81 -1/729) (fma.f64 a 1/9 1/27))
(/.f64 (fma.f64 a (*.f64 a 1/81) -1/729) (fma.f64 1/9 a 1/27))
(neg.f64 (/.f64 (+.f64 -1/19683 (.f64 (pow.f64 a 3) 1/729)) (+.f64 -1/729 (neg.f64 (+.f64 (.f64 (.f64 a a) 1/81) (.f64 1/243 a))))))
(/.f64 (+.f64 1/19683 (.f64 (pow.f64 a 3) -1/729)) (-.f64 -1/729 (fma.f64 (.f64 a a) 1/81 (*.f64 a 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) -1/729 1/19683) (-.f64 -1/729 (.f64 a (+.f64 (.f64 a 1/81) 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) -1/729 1/19683) (+.f64 -1/729 (.f64 a (+.f64 (.f64 a -1/81) -1/243))))
(sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 2))
(fabs.f64 (fma.f64 1/9 a -1/27))
(log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))
(fma.f64 1/9 a -1/27)
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))
(fma.f64 1/9 a -1/27)
(expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(fma.f64 a 1/9 -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1 (*.f64 a 1/9) -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (.f64 (sqrt.f64 a) 1/3) (.f64 (sqrt.f64 a) 1/3) -1/27)
(+.f64 (pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2) -1/27)
(+.f64 -1/27 (pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a 1/9)) 2) (cbrt.f64 (.f64 a 1/9)) -1/27)
(fma.f64 1/9 a -1/27)

eval139.0ms (1.5%)

Compiler: Compiled 6860 to 5302 computations (22.7% saved)

prune58.0ms (0.6%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	324	0	324
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	324	8	332

Error

Counts

332 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	17.8b	(-.f64 a 1/3)
✓	0.7b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 a))))
✓	0.7b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	45.1b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
✓	45.0b	(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
✓	45.1b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	19.2b	a

Compiler

Compiled 80 to 63 computations (21.3% saved)

regimes35.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

Inputs
a
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 a))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))

Outputs
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))

Calls

4 calls:

8.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
8.0ms	rand
8.0ms	(-.f64 a (/.f64 1 3))
7.0ms	a

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`rand`
0.1b	1	`(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))`
0.1b	1	`(-.f64 a (/.f64 1 3))`

Compiler

Compiled 175 to 137 computations (21.7% saved)

regimes16.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
a
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 a))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))

Outputs
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)

Calls

2 calls:

6.0ms	a
6.0ms	rand

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`rand`

Compiler

Compiled 96 to 71 computations (26% saved)

regimes14.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
a
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 a))))

Outputs
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))

Calls

2 calls:

6.0ms	rand
6.0ms	a

Results

Error	Segments	Branch
0.7b	1	`a`
0.7b	1	`rand`

Compiler

Compiled 70 to 51 computations (27.1% saved)

regimes35.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

Inputs
a
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))

Outputs
(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
(-.f64 a 1/3)
(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)

Calls

2 calls:

21.0ms	a
13.0ms	rand

Results

Error	Segments	Branch
16.6b	3	`a`
3.9b	3	`rand`

Compiler

Compiled 46 to 33 computations (28.3% saved)

bsearch50.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	3.726204359346429e+39	6.787908556010103e+45
26.0ms	-4.247267380708035e+99	-4.657240124096027e+84

Results

46.0ms

304×

body

256

valid

Compiler

Compiled 350 to 289 computations (17.4% saved)

regimes19.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs
a
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Outputs
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Calls

2 calls:

9.0ms	rand
9.0ms	a

Results

Error	Segments	Branch
16.6b	3	`a`
4.0b	3	`rand`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch46.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.726204359346429e+39	6.787908556010103e+45
25.0ms	-4.247267380708035e+99	-4.657240124096027e+84

Results

41.0ms

304×

body

256

valid

Compiler

Compiled 350 to 289 computations (17.4% saved)

regimes7.0ms (0.1%)

Accuracy

Total -1.4b remaining (-7.6%)

Threshold costs -1.4b (-7.6%)

Counts

2 → 1

Calls

Call 1

Inputs
a
(-.f64 a 1/3)

Outputs
(-.f64 a 1/3)

Calls

2 calls:

3.0ms	rand
3.0ms	a

Results

Error	Segments	Branch
17.8b	1	`a`
17.8b	1	`rand`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
14×	`*-commutative`
4×	`sub-neg`
4×	`if-if-or-not`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	229
1	78	229
2	79	229

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(if (<=.f64 rand -6799999999999999616366483293249671490163381958087872731516925300827556415531112202240) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) (if (<=.f64 rand 2649999999999999956467508440695018401195622400) (-.f64 a 1/3) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)))
(if (<=.f64 rand -42999999999999999248770625560906782844760676022775077058758469414223932630294528524288) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 3600000000000000000656360533973864691091374080) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(-.f64 a 1/3)
a

Outputs
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))) -1/3)
(+.f64 -1/3 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(if (<=.f64 rand -6799999999999999616366483293249671490163381958087872731516925300827556415531112202240) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) (if (<=.f64 rand 2649999999999999956467508440695018401195622400) (-.f64 a 1/3) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)))
(if (or (<=.f64 rand -6799999999999999616366483293249671490163381958087872731516925300827556415531112202240) (not (<=.f64 rand 2649999999999999956467508440695018401195622400))) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (+.f64 a -1/3))
(if (<=.f64 rand -42999999999999999248770625560906782844760676022775077058758469414223932630294528524288) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 3600000000000000000656360533973864691091374080) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (or (<=.f64 rand -42999999999999999248770625560906782844760676022775077058758469414223932630294528524288) (not (<=.f64 rand 3600000000000000000656360533973864691091374080))) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(-.f64 a 1/3)
(+.f64 a -1/3)
a

Compiler

Compiled 96 to 75 computations (21.9% saved)

soundness1.1s (12.5%)

Algorithm

4×	egg-herbie

Rules

2016×	`fma-def`
2016×	`fma-def`
1040×	`associate-+l+`
1040×	`associate-+l+`
978×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	34	41
2	87	37
3	231	37
4	505	37
5	931	37
6	2061	37
7	3260	37
8	5248	37
9	6476	37
10	6567	37
11	6837	37
12	6845	37
13	7398	37
14	7398	37
0	17	47
1	34	41
2	87	37
3	231	37
4	505	37
5	931	37
6	2061	37
7	3260	37
8	5248	37
9	6476	37
10	6567	37
11	6837	37
12	6845	37
13	7398	37
14	7398	37
0	819	16933
1	2038	15987
0	234	3017
1	531	2829
2	2014	2805
3	6944	2805

Stop Event

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

Compiler

Compiled 595 to 493 computations (17.1% saved)

end85.0ms (0.9%)

Compiler: Compiled 84 to 63 computations (25% saved)

Details

analyze75.0ms (0.8%)

sample1.8s (19.4%)

preprocess79.0ms (0.9%)

simplify166.0ms (1.8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize62.0ms (0.7%)

series13.0ms (0.1%)

rewrite129.0ms (1.4%)

simplify189.0ms (2.1%)

localize55.0ms (0.6%)

series45.0ms (0.5%)

rewrite109.0ms (1.2%)

simplify249.0ms (2.7%)

eval615.0ms (6.7%)

prune271.0ms (3%)

localize21.0ms (0.2%)

series8.0ms (0.1%)

rewrite100.0ms (1.1%)

simplify123.0ms (1.4%)

localize4.0ms (0%)

localize11.0ms (0.1%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite70.0ms (0.8%)

simplify88.0ms (1%)

localize18.0ms (0.2%)

series8.0ms (0.1%)

rewrite193.0ms (2.1%)

simplify471.0ms (5.2%)

eval529.0ms (5.8%)

prune186.0ms (2%)

localize13.0ms (0.1%)

series4.0ms (0%)

rewrite73.0ms (0.8%)

simplify83.0ms (0.9%)

localize58.0ms (0.6%)

series4.0ms (0%)

rewrite131.0ms (1.4%)

simplify181.0ms (2%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite93.0ms (1%)

simplify118.0ms (1.3%)

eval456.0ms (5%)

prune264.0ms (2.9%)

localize35.0ms (0.4%)

series11.0ms (0.1%)

rewrite114.0ms (1.2%)

simplify142.0ms (1.6%)

eval139.0ms (1.5%)

prune58.0ms (0.6%)

regimes35.0ms (0.4%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes35.0ms (0.4%)

bsearch50.0ms (0.5%)

regimes19.0ms (0.2%)

bsearch46.0ms (0.5%)

regimes7.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.1s (12.5%)

end85.0ms (0.9%)

Profiling