Details

analyze74.0ms (0.6%)

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 (14.4%)

Results

1.5s	8256×	body	256	valid
135.0ms	560×	body	256	invalid
98.0ms	617×	body	256	infinite

Bogosity

preprocess101.0ms (0.8%)

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)

simplify164.0ms (1.3%)

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)

localize68.0ms (0.6%)

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))
✓	0.3b	(.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)

series12.0ms (0.1%)

Counts

4 → 42

Calls

18 calls:

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

rewrite211.0ms (1.7%)

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)))))))

simplify198.0ms (1.6%)

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))

localize24.0ms (0.2%)

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)

series9.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

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

rewrite153.0ms (1.3%)

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)))))

simplify159.0ms (1.3%)

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)

eval673.0ms (5.5%)

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

prune278.0ms (2.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	877	11	888
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	879	11	890

Error

Counts

890 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	(/.f64 (/.f64 (.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (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)))
▶	0.2b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	20.1b	(-.f64 a 1/3)
	9.1b	(+.f64 (-.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (+.f64 a 1/3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))
▶	0.1b	(+.f64 (+.f64 -1/3 (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) a)
	1.2b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
▶	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
	50.1b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
▶	44.2b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
	44.2b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	20.7b	a

Compiler

Compiled 325 to 254 computations (21.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
✓	0.1b	(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
✓	0.3b	(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)
✓	0.4b	(/.f64 1/9 (+.f64 a -1/3))

Compiler

Compiled 53 to 41 computations (22.6% saved)

series7.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

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

rewrite143.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1200×	`distribute-rgt-in`
1154×	`distribute-lft-in`
754×	`associate-/r*`
504×	`associate-/r/`
344×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	94
1	303	90
2	3910	90

Stop Event

1×	node limit

Counts

4 → 247

Calls

Call 1

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

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

simplify188.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-+r+`
1038×	`+-commutative`
788×	`associate-r`
688×	`associate-l`
624×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	688	14401
1	1816	13679
2	6963	13679

Stop Event

1×	node limit

Counts

297 → 386

Calls

Call 1

Inputs
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (.f64 -1 a)) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (+.f64 (.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(.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 (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 (.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 (.f64 (/.f64 1/9 (fma.f64 a a -1/9)) a) (.f64 (/.f64 1/9 (fma.f64 a a -1/9)) 1/3))
(+.f64 (.f64 (/.f64 1/9 (+.f64 -1/27 (pow.f64 a 3))) (.f64 a a)) (.f64 (/.f64 1/9 (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1/9 (.f64 a -1/3))))
(+.f64 (.f64 (/.f64 1/9 (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1/9 (.f64 a -1/3))) (.f64 (/.f64 1/9 (+.f64 -1/27 (pow.f64 a 3))) (.f64 a a)))
(+.f64 (.f64 a (/.f64 1/9 (fma.f64 a a -1/9))) (.f64 1/3 (/.f64 1/9 (fma.f64 a a -1/9))))
(+.f64 (.f64 (.f64 a a) (/.f64 1/9 (+.f64 -1/27 (pow.f64 a 3)))) (.f64 (-.f64 1/9 (.f64 a -1/3)) (/.f64 1/9 (+.f64 -1/27 (pow.f64 a 3)))))
(+.f64 (.f64 (-.f64 1/9 (.f64 a -1/3)) (/.f64 1/9 (+.f64 -1/27 (pow.f64 a 3)))) (.f64 (.f64 a a) (/.f64 1/9 (+.f64 -1/27 (pow.f64 a 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/9 (+.f64 a -1/3)))) 1)
(*.f64 1/9 (/.f64 -1 (-.f64 1/3 a)))
(*.f64 (/.f64 1/9 (+.f64 a -1/3)) 1)
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(/.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 1 (-.f64 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand)) (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))) (+.f64 a 1/3))
(/.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 1 (-.f64 (.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 (+.f64 a -1/3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)))
(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 1 (+.f64 a -1/3) (.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 (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
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(fma.f64 -1 a -1/3)
(-.f64 -1/3 a)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (.f64 -1 a)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 a a) (neg.f64 a)) -1/3)
(fma.f64 -3 (*.f64 a a) (-.f64 -1/3 a))
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (+.f64 (.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(+.f64 (fma.f64 -3 (*.f64 a a) (fma.f64 -9 (pow.f64 a 3) (neg.f64 a))) -1/3)
(+.f64 (fma.f64 -3 (.f64 a a) (.f64 -9 (pow.f64 a 3))) (-.f64 -1/3 a))
(+.f64 (fma.f64 -3 (.f64 a a) (-.f64 -1/3 a)) (.f64 -9 (pow.f64 a 3)))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/243 (pow.f64 a 4)))))
(+.f64 (/.f64 1/9 a) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/243 (pow.f64 a 4))))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/243 (pow.f64 a 4)))))
(+.f64 (/.f64 1/9 a) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/243 (pow.f64 a 4))))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(.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 rand (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand))))
(fma.f64 -3/2 (.f64 (/.f64 a (sqrt.f64 -3)) rand) (.f64 (sqrt.f64 -3) (*.f64 1/3 rand)))
(+.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 rand (sqrt.f64 -3)) (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 rand (sqrt.f64 -3)) (fma.f64 -3/2 (.f64 (/.f64 a (sqrt.f64 -3)) rand) (/.f64 (.f64 -1/6 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (sqrt.f64 -3) (.f64 a (*.f64 a rand))))))
(+.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 rand (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) (.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 rand (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)) (.f64 (pow.f64 a 3) rand)) (fma.f64 -3/2 (.f64 (/.f64 a (sqrt.f64 -3)) rand) (/.f64 (.f64 -1/6 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (sqrt.f64 -3) (.f64 a (*.f64 a rand)))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (.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 -1/3 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (.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 -1/3 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (.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 -1/3 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (.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 -1/3 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (.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 -1/3 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (.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 -1/3 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (.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 -1/3 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (.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 -1/3 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (.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 -1/3 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (.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 -1/3 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (.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 -1/3 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (.f64 1/3 rand))
(*.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 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))))
(+.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 -1/6 (/.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)))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(.f64 -1/3 (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) 1))
(+.f64 -1/3 (.f64 (.f64 rand (sqrt.f64 -3)) -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 rand (sqrt.f64 -3)) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3))))) (.f64 -1/3 (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) 1)))
(fma.f64 a (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (.f64 (*.f64 rand (sqrt.f64 -3)) -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 rand (sqrt.f64 -3)) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3))))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) 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 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (.f64 a a) (fma.f64 1/18 (.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand) (/.f64 (.f64 rand -3/2) (sqrt.f64 -3))) (+.f64 -1/3 (.f64 (.f64 rand (sqrt.f64 -3)) -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 rand (sqrt.f64 -3)) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3))))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) 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 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (.f64 a a) (fma.f64 1/18 (.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand) (/.f64 (.f64 rand -3/2) (sqrt.f64 -3))) (+.f64 -1/3 (.f64 (.f64 rand (sqrt.f64 -3)) -1/9)))))
a
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.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 -1/3 a))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(-.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 -1/3 a))) a) -1/3)
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(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
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(/.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))))
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(.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (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)))))
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(/.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)))))
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(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1) (/.f64 (fma.f64 a a -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)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
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(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
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(/.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))))
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(.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (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)))))
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(/.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)))))
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(/.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 1 (-.f64 (.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 1 (-.f64 (.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 1 (-.f64 (.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 1 (pow.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) 3)) (+.f64 1 (-.f64 (.f64 (/.f64 1/9 (+.f64 -1/3 a)) (.f64 rand rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))))) (+.f64 -1/3 a))
(.f64 (+.f64 -1/3 a) (/.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 3)) (+.f64 1 (.f64 rand (+.f64 (/.f64 (.f64 1/9 rand) (+.f64 -1/3 a)) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))))))
(/.f64 (/.f64 (.f64 (fma.f64 a a -1/9) (-.f64 1 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand)))) (+.f64 a 1/3)) (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(/.f64 (.f64 (fma.f64 a a -1/9) (-.f64 1 (.f64 (/.f64 1/9 (+.f64 -1/3 a)) (.f64 rand rand)))) (.f64 (+.f64 a 1/3) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 (fma.f64 a a -1/9) (.f64 (-.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 (+.f64 a 1/3) (-.f64 1 (.f64 rand (/.f64 (.f64 1/9 rand) (+.f64 -1/3 a)))))))
(/.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 a 1/3)) (+.f64 1 (-.f64 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand)) (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (+.f64 1 (pow.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) 3)) (+.f64 1 (-.f64 (.f64 (/.f64 1/9 (+.f64 -1/3 a)) (.f64 rand rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))))))
(.f64 (fma.f64 a a -1/9) (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 3)) (+.f64 1 (.f64 rand (+.f64 (/.f64 (.f64 1/9 rand) (+.f64 -1/3 a)) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))))) (+.f64 a 1/3)))
(/.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 (pow.f64 a 3) -1/27) (-.f64 1 (.f64 (/.f64 1/9 (+.f64 -1/3 a)) (.f64 rand rand)))) (fma.f64 a a (-.f64 1/9 (.f64 -1/3 a)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (.f64 a 1/3)))) (-.f64 1 (.f64 rand (/.f64 (.f64 1/9 rand) (+.f64 -1/3 a))))) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(/.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 1 (-.f64 (.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 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (.f64 -1/3 a)))) (/.f64 (+.f64 1 (pow.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) 3)) (+.f64 1 (-.f64 (.f64 (/.f64 1/9 (+.f64 -1/3 a)) (.f64 rand rand)) (.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))))))
(.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 3)) (+.f64 1 (.f64 rand (+.f64 (/.f64 (.f64 1/9 rand) (+.f64 -1/3 a)) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))))) (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))) (fma.f64 a a -1/9)) (-.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))) (+.f64 a 1/3))
(/.f64 (.f64 (fma.f64 a a -1/9) (-.f64 1 (.f64 (/.f64 1/9 (+.f64 -1/3 a)) (.f64 rand rand)))) (.f64 (+.f64 a 1/3) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 (fma.f64 a a -1/9) (.f64 (-.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 (+.f64 a 1/3) (-.f64 1 (.f64 rand (/.f64 (.f64 1/9 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 (pow.f64 a 3) -1/27) (-.f64 1 (.f64 (/.f64 1/9 (+.f64 -1/3 a)) (.f64 rand rand)))) (fma.f64 a a (-.f64 1/9 (.f64 -1/3 a)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (.f64 a 1/3)))) (-.f64 1 (.f64 rand (/.f64 (.f64 1/9 rand) (+.f64 -1/3 a))))) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(/.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 1 (-.f64 (.f64 (/.f64 1/9 (+.f64 a -1/3)) (.f64 rand rand)) (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))) (+.f64 a 1/3))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (+.f64 1 (pow.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) 3)) (+.f64 1 (-.f64 (.f64 (/.f64 1/9 (+.f64 -1/3 a)) (.f64 rand rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))))))
(.f64 (fma.f64 a a -1/9) (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 3)) (+.f64 1 (.f64 rand (+.f64 (/.f64 (.f64 1/9 rand) (+.f64 -1/3 a)) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))))) (+.f64 a 1/3)))
(/.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 1 (-.f64 (.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 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (.f64 -1/3 a)))) (/.f64 (+.f64 1 (pow.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) 3)) (+.f64 1 (-.f64 (.f64 (/.f64 1/9 (+.f64 -1/3 a)) (.f64 rand rand)) (.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))))))
(.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 3)) (+.f64 1 (.f64 rand (+.f64 (/.f64 (.f64 1/9 rand) (+.f64 -1/3 a)) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))))) (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)
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 2)
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 3)
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(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)
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1)) 2))
(fabs.f64 (*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1)))
(log.f64 (pow.f64 (exp.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 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(log.f64 (+.f64 1 (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 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 3))
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 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 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 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 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 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 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 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 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 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 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 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 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 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 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 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 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 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 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 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 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))

localize3.0ms (0%)

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

localize10.0ms (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)

series5.0ms (0%)

Counts

3 → 20

Calls

12 calls:

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

rewrite68.0ms (0.6%)

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))))))))

simplify142.0ms (1.2%)

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))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series48.0ms (0.4%)

Counts

4 → 27

Calls

21 calls:

Time	Variable		Point	Expression
44.0ms	a	@	-inf	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.0ms	a	@	-inf	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
0.0ms	a	@	inf	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.0ms	rand	@	-inf	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.0ms	a	@	0	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)

rewrite95.0ms (0.8%)

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

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 (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 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (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)) (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 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)) 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((#(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))))))))

simplify159.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-/r/`
860×	`associate-/l/`
654×	`+-commutative`
636×	`associate-+r+`
598×	`distribute-lft-neg-in`

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 → 284

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))))))
(.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)))
(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 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 (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)))
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(/.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))))

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

localize63.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
	0.3b	(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)
	0.4b	(/.f64 1/9 (+.f64 a -1/3))
✓	6.2b	(.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))

Compiler

Compiled 70 to 53 computations (24.3% saved)

series1.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1702×	`associate-*r/`
1354×	`associate-*l/`
578×	`distribute-rgt-in`
542×	`distribute-lft-in`
478×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	258	35
2	3234	35

Stop Event

1×	node limit

Counts

1 → 90

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) a) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) -1/3) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 a (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))) (*.f64 -1/3 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (/.f64 (*.f64 a (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) a)) (*.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) -1/3)) 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simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1272×	`associate-/r*`
1264×	`associate-*r/`
1186×	`associate-/l/`
994×	`*-commutative`
912×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	274	5032
1	723	5014
2	2768	5014

Stop Event

1×	node limit

Counts

106 → 145

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

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

eval638.0ms (5.2%)

Compiler: Compiled 29668 to 22697 computations (23.5% saved)

prune267.0ms (2.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1180	5	1185
Fresh	2	4	6
Picked	1	0	1
Done	1	3	4
Total	1184	12	1196

Error

Counts

1196 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	20.1b	(-.f64 a 1/3)
▶	9.1b	(+.f64 (+.f64 -1/3 (/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) a)
	8.9b	(+.f64 (+.f64 -1/3 (/.f64 (.f64 (.f64 (+.f64 a -1/3) 1/3) rand) (sqrt.f64 (+.f64 a -1/3)))) a)
▶	0.1b	(+.f64 (+.f64 -1/3 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) a)
	1.2b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
▶	1.2b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
▶	50.1b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
✓	44.2b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
▶	44.2b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	60.0b	(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))
	20.7b	a

Compiler

Compiled 268 to 211 computations (21.3% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 34 computations (26.1% saved)

series3.0ms (0%)

Counts

3 → 50

Calls

18 calls:

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

rewrite136.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`associate-*r/`
1380×	`associate-*l/`
302×	`add-sqr-sqrt`
296×	`associate-/r*`
290×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	87
1	289	79
2	3882	79

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

Outputs

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

simplify192.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1120×	`associate-+l+`
1102×	`+-commutative`
926×	`associate-+r+`
668×	`associate-/l*`
608×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	546	14960
1	1533	14350
2	6577	14346

Stop Event

1×	node limit

Counts

230 → 330

Calls

Call 1

Inputs
(.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 1/3 (.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 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 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)) 1/3)
(-.f64 (+.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))) 1/3)
(-.f64 (+.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)))))) 1/3)
a
a
-1/3
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.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 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.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 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)))) 1/3)
(-.f64 (+.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))))) 1/3)
(-.f64 (+.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)))))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))) 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 (-.f64 1/9 (*.f64 a a)))) (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 (sqrt.f64 (-.f64 1/9 (.f64 a a))) (*.f64 1/3 rand)) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (.f64 1/3 rand))) (cbrt.f64 (+.f64 1/9 (.f64 a (-.f64 a -1/3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/9 (.f64 a a))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (.f64 1/3 rand))) (cbrt.f64 (-.f64 -1/3 a)))
(pow.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) 3)
(pow.f64 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)) 1/3)
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (*.f64 rand rand))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (sqrt.f64 (+.f64 -1/3 a))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))))
(cbrt.f64 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(exp.f64 (log.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))) (-.f64 1 (+.f64 -1/3 a)))
(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)))
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3))) (-.f64 1 a))
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (-.f64 1 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (-.f64 (/.f64 (.f64 a a) (-.f64 -1/3 a)) (.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3) 2) (-.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3) a)) (/.f64 (.f64 a a) (-.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3) a)))
(-.f64 (/.f64 1/9 (+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) (-.f64 (/.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) a))
(-.f64 (+.f64 a (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)))) 1)
(-.f64 (+.f64 a (/.f64 1/9 (+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (/.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))
(-.f64 (+.f64 (+.f64 -1/3 a) (exp.f64 (log1p.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))) 1)
(-.f64 (+.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) (exp.f64 (log.f64 (+.f64 2/3 a)))) 1)
(-.f64 (+.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 1/9 (-.f64 -1/3 a))) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))
(-.f64 (+.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3) (exp.f64 (log1p.f64 a))) 1)
(.f64 (+.f64 -1/3 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a)) 1)
(.f64 1 (+.f64 -1/3 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a)))
(.f64 (sqrt.f64 (+.f64 -1/3 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a))) (sqrt.f64 (+.f64 -1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a))))
(.f64 (cbrt.f64 (+.f64 -1/3 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a))) (pow.f64 (cbrt.f64 (+.f64 -1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a))) 2))
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(/.f64 (.f64 (-.f64 1/729 (pow.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 3)) (/.f64 1 (+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (+.f64 1/81 (+.f64 (.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand)))) (.f64 1/9 (.f64 (+.f64 -1/3 a) (.f64 1/9 (*.f64 rand rand)))))))
(/.f64 (.f64 (-.f64 1/729 (.f64 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)) (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)))) (/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (-.f64 -1/27 (.f64 1/27 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))))
(/.f64 (.f64 (+.f64 -1/19683 (pow.f64 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)) 3)) (/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (+.f64 1/729 (-.f64 (.f64 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)) (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))) (.f64 -1/27 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))))))
(/.f64 (/.f64 (-.f64 1/9 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand)))) 1) (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (/.f64 (-.f64 1/9 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand)))) (sqrt.f64 (+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (sqrt.f64 (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (-.f64 1/9 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand)))) (.f64 (cbrt.f64 (+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) (cbrt.f64 (+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))) (cbrt.f64 (+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (+.f64 -1/27 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))) 1) (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (/.f64 (+.f64 -1/27 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))) (sqrt.f64 (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (sqrt.f64 (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (+.f64 -1/27 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))) (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) (cbrt.f64 (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))) (cbrt.f64 (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))
(pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) -1/3)
(fma.f64 1 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) -1/3)
(fma.f64 (sqrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (sqrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) -1/3)
(fma.f64 (cbrt.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand)))) (cbrt.f64 (.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) -1/3)

Outputs
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 rand (.f64 1/3 (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 a -1/3))))
(.f64 rand (.f64 1/3 (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 a -1/3))))
(.f64 rand (.f64 1/3 (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 a -1/3))))
(.f64 rand (.f64 1/3 (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 a -1/3))))
(.f64 rand (.f64 1/3 (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 a -1/3))))
(.f64 rand (.f64 1/3 (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 a -1/3))))
(.f64 rand (.f64 1/3 (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 a -1/3))))
(.f64 rand (.f64 1/3 (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 a -1/3))))
(.f64 rand (.f64 1/3 (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 a -1/3))))
(.f64 rand (.f64 1/3 (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 a -1/3))))
(.f64 rand (.f64 1/3 (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 a -1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 (.f64 1/3 rand) (sqrt.f64 -1/3))
(.f64 (sqrt.f64 -1/3) (.f64 1/3 rand))
(+.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 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)) (.f64 (sqrt.f64 -1/3) (*.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 a rand) (sqrt.f64 -1/3)) (/.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 rand) (sqrt.f64 -1/3)) (.f64 1/8 (/.f64 (.f64 a (*.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 (.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 a rand) (sqrt.f64 -1/3)) (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 rand) (sqrt.f64 -1/3)) (fma.f64 1/48 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (.f64 1/8 (/.f64 (.f64 a (.f64 a rand)) (sqrt.f64 -1/3))))))
(-.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 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 -1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 -1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 -1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 -1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 -1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 -1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 -1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 -1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 -1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 -1/3) -1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)) 1/3)
(+.f64 (fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 a (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3))))) -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) -1/3))
(-.f64 (+.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))) 1/3)
(+.f64 (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)))))) -1/3)
(+.f64 (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (.f64 1/8 (/.f64 (.f64 a (.f64 a rand)) (sqrt.f64 -1/3)))) (fma.f64 (.f64 1/3 rand) (sqrt.f64 -1/3) -1/3))
(+.f64 (.f64 1/8 (/.f64 (.f64 a (.f64 a 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) -1/3)))
(-.f64 (+.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)))))) 1/3)
(+.f64 (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 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)))))) -1/3)
(+.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 a (.f64 a rand)) (sqrt.f64 -1/3))) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (/.f64 (.f64 (.f64 1/48 (pow.f64 a 3)) rand) (pow.f64 (sqrt.f64 -1/3) 5)))) (fma.f64 (.f64 1/3 rand) (sqrt.f64 -1/3) -1/3))
(+.f64 (fma.f64 1/48 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (.f64 1/8 (/.f64 (.f64 a (.f64 a 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) -1/3)))
a
a
-1/3
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -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 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -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 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)) 2) (cbrt.f64 (+.f64 1/9 (fma.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)) (.f64 (.f64 rand 1/9) (sqrt.f64 (+.f64 a -1/3))))))) (cbrt.f64 (fma.f64 1/27 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) -1/27)))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/9 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)) 2)) (cbrt.f64 (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 (cbrt.f64 (-.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand)))) (/.f64 (cbrt.f64 (+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)) 2)))
(.f64 (/.f64 (cbrt.f64 (-.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) (.f64 rand 1/9)) rand))) (cbrt.f64 (fma.f64 (.f64 rand -1/3) (sqrt.f64 (+.f64 a -1/3)) -1/3))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)) 2))
(/.f64 (.f64 (-.f64 1/81 (.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))))) (/.f64 1 (+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (*.f64 rand rand))) 1/9))
(/.f64 (-.f64 1/81 (.f64 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand)) (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand)))) (/.f64 (fma.f64 (+.f64 a -1/3) (.f64 1/9 (.f64 rand rand)) 1/9) (/.f64 1 (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (-.f64 1/81 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 1/81 (.f64 (.f64 rand rand) (.f64 rand rand))))) (.f64 (fma.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)) 1/9) (fma.f64 (.f64 rand -1/3) (sqrt.f64 (+.f64 a -1/3)) -1/3)))
(/.f64 (.f64 (-.f64 1/729 (pow.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 3)) (/.f64 1 (+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (+.f64 1/81 (+.f64 (.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand)))) (.f64 1/9 (.f64 (+.f64 -1/3 a) (.f64 1/9 (*.f64 rand rand)))))))
(/.f64 (-.f64 1/729 (pow.f64 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand)) 3)) (/.f64 (+.f64 1/81 (.f64 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand)) (fma.f64 (+.f64 a -1/3) (.f64 1/9 (.f64 rand rand)) 1/9))) (/.f64 1 (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (-.f64 1/729 (pow.f64 (.f64 (.f64 (+.f64 a -1/3) (.f64 rand 1/9)) rand) 3)) (.f64 (fma.f64 (.f64 (.f64 (+.f64 a -1/3) (.f64 rand 1/9)) rand) (fma.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)) 1/9) 1/81) (fma.f64 (.f64 rand -1/3) (sqrt.f64 (+.f64 a -1/3)) -1/3)))
(/.f64 (.f64 (-.f64 1/729 (.f64 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)) (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)))) (/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (-.f64 -1/27 (.f64 1/27 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))))
(/.f64 (-.f64 1/729 (.f64 1/729 (.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))) (/.f64 (-.f64 -1/27 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3))) (/.f64 1 (+.f64 (fma.f64 (+.f64 a -1/3) (.f64 1/9 (.f64 rand rand)) 1/9) (.f64 1/9 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (/.f64 (+.f64 1/729 (.f64 -1/729 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 6))) (+.f64 1/9 (fma.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)) (.f64 (.f64 rand 1/9) (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 -1/27 (.f64 -1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3))))
(/.f64 (.f64 (+.f64 -1/19683 (pow.f64 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)) 3)) (/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (+.f64 1/729 (-.f64 (.f64 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)) (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))) (.f64 -1/27 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))))))
(/.f64 (+.f64 -1/19683 (.f64 1/19683 (pow.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 3))) (/.f64 (+.f64 1/729 (.f64 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)) (-.f64 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)) -1/27))) (/.f64 1 (+.f64 (fma.f64 (+.f64 a -1/3) (.f64 1/9 (.f64 rand rand)) 1/9) (.f64 1/9 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 3) -1/19683) (.f64 (+.f64 1/729 (fma.f64 1/729 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 6) (.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/729))) (+.f64 1/9 (fma.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)) (.f64 (*.f64 rand 1/9) (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (-.f64 1/9 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand)))) 1) (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (-.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand))) (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (fma.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)) -1/9) (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) 1/3))
(/.f64 (/.f64 (-.f64 1/9 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand)))) (sqrt.f64 (+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (sqrt.f64 (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 (-.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand))) (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (fma.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)) -1/9) (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) 1/3))
(/.f64 (/.f64 (-.f64 1/9 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand)))) (.f64 (cbrt.f64 (+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) (cbrt.f64 (+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))) (cbrt.f64 (+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 (-.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand))) (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (fma.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)) -1/9) (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) 1/3))
(/.f64 (/.f64 (+.f64 -1/27 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))) 1) (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (+.f64 -1/27 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3))) (+.f64 (fma.f64 (+.f64 a -1/3) (.f64 1/9 (.f64 rand rand)) 1/9) (.f64 1/9 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (fma.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) -1/27) (+.f64 1/9 (fma.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)) (.f64 (*.f64 rand 1/9) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (+.f64 -1/27 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))) (sqrt.f64 (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (sqrt.f64 (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 (+.f64 -1/27 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3))) (+.f64 (fma.f64 (+.f64 a -1/3) (.f64 1/9 (.f64 rand rand)) 1/9) (.f64 1/9 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (fma.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) -1/27) (+.f64 1/9 (fma.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)) (.f64 (*.f64 rand 1/9) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (+.f64 -1/27 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))) (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) (cbrt.f64 (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))) (cbrt.f64 (-.f64 (+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand))) 1/9) (.f64 -1/9 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 (+.f64 -1/27 (.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3))) (+.f64 (fma.f64 (+.f64 a -1/3) (.f64 1/9 (.f64 rand rand)) 1/9) (.f64 1/9 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (fma.f64 1/27 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) -1/27) (+.f64 1/9 (fma.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)) (.f64 (*.f64 rand 1/9) (sqrt.f64 (+.f64 a -1/3))))))
(pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3) 1)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)) 2)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)) 3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3) 3) 1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3) 2))
(fabs.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3))
(log.f64 (exp.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3) 3))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(exp.f64 (log.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)) 1))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(fma.f64 1 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(fma.f64 (sqrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (sqrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)
(fma.f64 (cbrt.f64 (.f64 (+.f64 -1/3 a) (.f64 1/9 (.f64 rand rand)))) (cbrt.f64 (.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) -1/3)
(fma.f64 (cbrt.f64 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand))) (cbrt.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) -1/3)
(fma.f64 (cbrt.f64 (.f64 (.f64 (+.f64 a -1/3) (.f64 rand 1/9)) rand)) (cbrt.f64 (.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) -1/3)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

series7.0ms (0.1%)

Counts

4 → 26

Calls

18 calls:

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

rewrite104.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1150×	`distribute-rgt-in`
1104×	`distribute-lft-in`
666×	`associate-/r*`
310×	`associate-/l*`
300×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	303	66
2	3893	66

Stop Event

1×	node limit

Counts

4 → 220

Calls

Call 1

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

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

simplify131.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1028×	`associate-+l+`
1024×	`associate-+r+`
676×	`associate-/r/`
660×	`+-commutative`
520×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	9652
1	1266	9338
2	4970	9336

Stop Event

1×	node limit

Counts

246 → 279

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 a 1/3) rand)
✓	0.1b	(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
✓	0.2b	(/.f64 1 (-.f64 (*.f64 9 a) 3))
✓	8.6b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))

Compiler

Compiled 53 to 41 computations (22.6% saved)

series9.0ms (0.1%)

Counts

4 → 32

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
1.0ms	a	@	-inf	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
1.0ms	a	@	inf	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
1.0ms	rand	@	0	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
0.0ms	a	@	-inf	(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1752×	`associate-*r/`
1358×	`associate-*l/`
456×	`associate-/r*`
370×	`associate-/l*`
336×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	84
1	344	74
2	4162	74

Stop Event

1×	node limit

Counts

4 → 209

Calls

Call 1

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

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

simplify118.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1204×	`associate-/l*`
670×	`associate-r`
624×	`associate-l`
520×	`+-commutative`
488×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	8525
1	1373	8215
2	6138	8195

Stop Event

1×	node limit

Counts

241 → 335

Calls

Call 1

Inputs
(.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 a (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (*.f64 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 (.f64 a (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(+.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 (.f64 a (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))))
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (.f64 -1 a)) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (+.f64 (.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(sqrt.f64 -1/3)
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 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))))) (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3))))))
(*.f64 -1/3 rand)
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 a rand)
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 a rand)
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))) 1)
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (+.f64 a -1/3) rand)))
(/.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (sqrt.f64 rand) (+.f64 a -1/3))))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) rand)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (.f64 (+.f64 a -1/3) rand))))
(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 rand) (+.f64 a -1/3))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 (+.f64 a -1/3)) rand)))
(/.f64 (cbrt.f64 (.f64 (+.f64 a -1/3) rand)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (.f64 (+.f64 a -1/3) rand)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 a -1/3) rand)) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (.f64 (+.f64 a -1/3) rand))))
(/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 rand)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 rand)))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a 1/3))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (fma.f64 a a (+.f64 1/9 (.f64 a 1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 (.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) -1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) (sqrt.f64 -1)) (sqrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (.f64 1 (/.f64 (.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a 1/3))
(/.f64 (.f64 1 (.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 rand (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 rand (+.f64 (pow.f64 a 3) -1/27))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (fma.f64 a a -1/9) rand)) (+.f64 a 1/3))
(/.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 (pow.f64 a 3) -1/27) rand)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (+.f64 1/9 (.f64 a 1/3))))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 (pow.f64 a 3) -1/27)) (+.f64 (.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (neg.f64 (+.f64 (pow.f64 a 3) -1/27))) (neg.f64 (fma.f64 a a (+.f64 1/9 (.f64 a 1/3)))))
(/.f64 (.f64 (/.f64 (.f64 (+.f64 a -1/3) rand) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (.f64 (/.f64 (.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) 1) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (neg.f64 (fma.f64 a a (+.f64 1/9 (.f64 a 1/3)))))
(/.f64 (.f64 (.f64 rand (fma.f64 a a -1/9)) (pow.f64 (fma.f64 a 9 -3) -1/2)) (+.f64 a 1/3))
(/.f64 (.f64 (.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (pow.f64 (fma.f64 a 9 -3) -1/2)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (.f64 (.f64 (fma.f64 a a -1/9) rand) (pow.f64 (fma.f64 a 9 -3) -1/2)) (+.f64 a 1/3))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (pow.f64 (fma.f64 a 9 -3) -1/2)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (.f64 -1 (.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (.f64 (sqrt.f64 -1) (.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (.f64 (/.f64 (.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) 1) (+.f64 a 1/3))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (.f64 1 (/.f64 (.f64 (+.f64 a -1/3) rand) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (.f64 1 (/.f64 (.f64 (+.f64 a -1/3) rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (fma.f64 a 9 -3)))
(/.f64 (.f64 -1 (/.f64 (.f64 (+.f64 a -1/3) rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (/.f64 (.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) (.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1) (fma.f64 a a (+.f64 1/9 (.f64 a 1/3))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -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 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -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)))))
(pow.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) 3) 1/3)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (fma.f64 a 9 -3)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3/2)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3/2) (pow.f64 (.f64 (+.f64 a -1/3) rand) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))))
(exp.f64 (log.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 a 9 -3)))
(*.f64 (/.f64 1 (fma.f64 a 9 -3)) 1)
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (/.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))))
(*.f64 -1 (/.f64 -1 (fma.f64 a 9 -3)))
(*.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(.f64 (/.f64 1 (+.f64 (.f64 (*.f64 a a) 81) -9)) (fma.f64 a 9 3))
(.f64 (/.f64 1 (+.f64 (.f64 729 (pow.f64 a 3)) -27)) (+.f64 9 (+.f64 (.f64 a 27) (.f64 (*.f64 a a) 81))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1))
(pow.f64 (fma.f64 a 9 -3) -1)
(pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) 3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 a 9 -3))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 a 9 -3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (pow.f64 1 1/2) (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) 1/2))
(/.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1))
(/.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (cbrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (.f64 1 (sqrt.f64 -1)) (sqrt.f64 (-.f64 3 (.f64 a 9))))
(/.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (cbrt.f64 (fma.f64 a 9 -3)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) -1) (cbrt.f64 (-.f64 3 (.f64 a 9))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) 1) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1))
(/.f64 (*.f64 (pow.f64 1 1/2) -1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 -1)) (sqrt.f64 (-.f64 3 (.f64 a 9))))
(/.f64 (.f64 (sqrt.f64 -1) 1) (sqrt.f64 (-.f64 3 (.f64 a 9))))
(/.f64 (.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) (cbrt.f64 (-.f64 3 (.f64 a 9))))
(/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 2)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3/2) 1/3)
(fabs.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))
(log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(+.f64 (.f64 rand a) (.f64 rand -1/3))
(+.f64 (.f64 rand -1/3) (.f64 rand a))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 -1/3 rand) (.f64 a rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand))) 1)
(/.f64 rand (/.f64 1 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) rand))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) rand))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (+.f64 1/9 (.f64 a 1/3))))
(/.f64 (.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (+.f64 (.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (fma.f64 a a (+.f64 1/9 (.f64 a 1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (+.f64 (.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 rand (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (.f64 rand (neg.f64 (+.f64 (pow.f64 a 3) -1/27))) (neg.f64 (fma.f64 a a (+.f64 1/9 (.f64 a 1/3)))))
(/.f64 (.f64 1 (.f64 rand (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (.f64 1 (.f64 rand (+.f64 (pow.f64 a 3) -1/27))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (.f64 1 (.f64 (fma.f64 a a -1/9) rand)) (+.f64 a 1/3))
(/.f64 (.f64 1 (.f64 (+.f64 (pow.f64 a 3) -1/27) rand)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (.f64 (.f64 rand (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (.f64 rand (sqrt.f64 (+.f64 a -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 (.f64 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 rand (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) rand) (neg.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) rand) (neg.f64 (fma.f64 a a (+.f64 1/9 (.f64 a 1/3)))))
(/.f64 (.f64 (.f64 rand (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (.f64 (.f64 rand (+.f64 (pow.f64 a 3) -1/27)) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (.f64 (.f64 (fma.f64 a a -1/9) rand) 1) (+.f64 a 1/3))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 a 3) -1/27) rand) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (.f64 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 rand (+.f64 (pow.f64 a 3) -1/27)) 1) (fma.f64 a a (+.f64 1/9 (.f64 a 1/3))))
(/.f64 (/.f64 (.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (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 rand (+.f64 (pow.f64 a 3) -1/27)) (.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) rand) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (.f64 (fma.f64 a a -1/9) rand) (.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a 3) -1/27) rand) 1) (fma.f64 a a (+.f64 1/9 (.f64 a 1/3))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (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 (pow.f64 a 3) -1/27) rand) (.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)))))
(pow.f64 (*.f64 (+.f64 a -1/3) rand) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2))
(log.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) rand))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand)))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a -1/3) rand)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) rand)))

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 -1/3 (/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) a)
✓	0.0b	(*.f64 (+.f64 a -1/3) 9)
	0.1b	(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
✓	8.6b	(/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))

Compiler

Compiled 81 to 62 computations (23.5% saved)

series7.0ms (0.1%)

Counts

3 → 46

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(*.f64 (+.f64 a -1/3) 9)
1.0ms	rand	@	0	(+.f64 (+.f64 -1/3 (/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) a)
1.0ms	a	@	-inf	(/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
0.0ms	a	@	-inf	(+.f64 (+.f64 -1/3 (/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) a)
0.0ms	a	@	inf	(/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))

rewrite105.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1782×	`associate-/l*`
1396×	`distribute-lft-in`
670×	`associate-/r/`
414×	`associate-/l/`
336×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	95
1	355	93
2	4590	93

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1472×	`associate-/r*`
834×	`+-commutative`
762×	`associate-+l+`
626×	`associate-+r+`
500×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	10237
1	1304	9665
2	5174	9535

Stop Event

1×	node limit

Counts

197 → 259

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

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

eval923.0ms (7.5%)

Compiler: Compiled 39633 to 29932 computations (24.5% saved)

prune368.0ms (3%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1503	2	1505
Fresh	0	4	4
Picked	0	1	1
Done	1	6	7
Total	1504	13	1517

Error

Counts

1517 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	20.1b	(-.f64 a 1/3)
✓	9.1b	(+.f64 (+.f64 -1/3 (/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) a)
▶	8.9b	(+.f64 (+.f64 -1/3 (/.f64 (.f64 (.f64 (+.f64 a -1/3) 1/3) rand) (sqrt.f64 (+.f64 a -1/3)))) a)
✓	0.1b	(+.f64 (+.f64 -1/3 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) a)
▶	0.1b	(+.f64 (+.f64 -1/3 (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) a)
▶	1.2b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	1.2b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
▶	51.1b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
✓	44.2b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
✓	44.2b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶	60.0b	(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))
	20.7b	a

Compiler

Compiled 230 to 179 computations (22.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 37 computations (24.5% saved)

series4.0ms (0%)

Counts

4 → 54

Calls

21 calls:

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

rewrite104.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`associate-*r/`
1358×	`associate-*l/`
302×	`add-sqr-sqrt`
292×	`associate-/r*`
290×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	104
1	289	96
2	3876	96

Stop Event

1×	node limit

Counts

4 → 199

Calls

Call 1

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

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

simplify168.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1148×	`+-commutative`
1048×	`associate-+r+`
768×	`associate-/l*`
714×	`associate-r`
634×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	592	15729
1	1617	15057
2	7071	15057

Stop Event

1×	node limit

Counts

253 → 356

Calls

Call 1

Inputs
(*.f64 1/3 (sqrt.f64 -1/3))
(+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 1/3 (sqrt.f64 -1/3)))))
(.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 1/3 (.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 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 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)) 1/3)
(-.f64 (+.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))) 1/3)
(-.f64 (+.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)))))) 1/3)
a
a
-1/3
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.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 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.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 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)))) 1/3)
(-.f64 (+.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))))) 1/3)
(-.f64 (+.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)))))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(/.f64 (*.f64 1/3 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.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 (sqrt.f64 (fma.f64 a a -1/9)) 1/3) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) 1/3) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 a a -1/9)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 1/3)) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 1/3)) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(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)
(sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9))
(log.f64 (pow.f64 (exp.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 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1)
(/.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (.f64 (.f64 (*.f64 1/3 rand) 1) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (.f64 (.f64 (.f64 1/3 rand) 1) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 1/3 rand)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 1/3 rand)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(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)
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(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)) (sqrt.f64 (-.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand))))) (sqrt.f64 (-.f64 -1/3 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)) 2) (cbrt.f64 (+.f64 -1/27 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)))) (cbrt.f64 (+.f64 1/9 (.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (-.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)) 2) (cbrt.f64 (-.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand))))) (cbrt.f64 (-.f64 -1/3 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(/.f64 (.f64 (-.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand))) 1) (-.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) 1) (+.f64 1/9 (.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand)) 1/9) 1) (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))
(/.f64 (.f64 (neg.f64 (-.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand)))) 1) (neg.f64 (-.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(/.f64 (.f64 (neg.f64 (+.f64 -1/27 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))) 1) (neg.f64 (+.f64 1/9 (.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))) (sqrt.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3))) (sqrt.f64 (+.f64 1/9 (.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (-.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand)))) (sqrt.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3))) (sqrt.f64 (-.f64 -1/3 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)) 2)) (cbrt.f64 (+.f64 1/9 (.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (-.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)) 2)) (cbrt.f64 (-.f64 -1/3 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(/.f64 (.f64 (-.f64 1/81 (.f64 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand)) (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand)))) (/.f64 1 (-.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 (.f64 (.f64 (+.f64 a -1/3) 1/9) (*.f64 rand rand)) 1/9))
(/.f64 (.f64 (-.f64 1/729 (pow.f64 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand)) 3)) (/.f64 1 (-.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 1/81 (+.f64 (.f64 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand)) (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand))) (.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) 1/9) (*.f64 rand rand))))))
(/.f64 (.f64 (-.f64 1/729 (.f64 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))) (/.f64 1 (+.f64 1/9 (.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))))) (-.f64 -1/27 (pow.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)))
(/.f64 (.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) 3)) (/.f64 1 (+.f64 1/9 (.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))))) (+.f64 1/729 (-.f64 (.f64 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) (.f64 -1/27 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)))))
(/.f64 (/.f64 (-.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand))) 1) (-.f64 -1/3 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(/.f64 (/.f64 (-.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand))) (sqrt.f64 (-.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (sqrt.f64 (-.f64 -1/3 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(/.f64 (/.f64 (-.f64 1/9 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand))) (.f64 (cbrt.f64 (-.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (cbrt.f64 (-.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (cbrt.f64 (-.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) 1) (+.f64 1/9 (.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (-.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) (sqrt.f64 (+.f64 1/9 (.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))))) (sqrt.f64 (+.f64 1/9 (.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3)))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3)))) (cbrt.f64 (+.f64 1/9 (.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3)))))) (cbrt.f64 (+.f64 1/9 (.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3)))))
(pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3)
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3)
(fma.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3)
(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))) -1/3)
(fma.f64 (cbrt.f64 (.f64 (.f64 (+.f64 a -1/3) 1/9) (.f64 rand rand))) (cbrt.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) -1/3)

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/9 (.f64 rand rand))
✓	7.4b	(.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand)))
✓	26.3b	(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	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	a	@	-inf	(sqrt.f64 (.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 (0.6%)

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 (0.7%)

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))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 a 1/3) rand)
	0.1b	(sqrt.f64 (/.f64 1/9 a))
	0.3b	(/.f64 1/9 a)
✓	8.6b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`associate-*r/`
1282×	`associate-*l/`
472×	`distribute-rgt-in`
436×	`associate-/r*`
428×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	258	29
2	3204	29

Stop Event

1×	node limit

Counts

1 → 86

Calls

Call 1

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

Outputs

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

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1800×	`associate-+l+`
1240×	`distribute-lft-in`
1218×	`distribute-rgt-in`
774×	`associate-/l*`
416×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	3986
1	673	3906
2	3172	3682
3	7818	3682

Stop Event

1×	node limit

Counts

98 → 134

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

series4.0ms (0%)

Counts

4 → 40

Calls

21 calls:

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

rewrite173.0ms (1.4%)

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	86
1	302	78
2	3997	78

Stop Event

1×	node limit

Counts

4 → 242

Calls

Call 1

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

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

simplify179.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

976×	`+-commutative`
766×	`associate-r`
728×	`associate-/l*`
674×	`associate-l`
556×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	579	12884
1	1556	12424
2	7487	12422

Stop Event

1×	node limit

Counts

282 → 343

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

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

localize57.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 -1/3 (/.f64 (.f64 (.f64 (+.f64 a -1/3) 1/3) rand) (sqrt.f64 (+.f64 a -1/3)))) a)
✓	0.2b	(.f64 (.f64 (+.f64 a -1/3) 1/3) rand)
✓	0.3b	(*.f64 (+.f64 a -1/3) 1/3)
✓	8.4b	(/.f64 (.f64 (.f64 (+.f64 a -1/3) 1/3) rand) (sqrt.f64 (+.f64 a -1/3)))

Compiler

Compiled 67 to 50 computations (25.4% saved)

series4.0ms (0%)

Counts

4 → 70

Calls

21 calls:

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

rewrite136.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1384×	`distribute-rgt-in`
1342×	`distribute-lft-in`
738×	`associate-/r/`
508×	`associate-/l/`
332×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	114
1	317	112
2	4523	112

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

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

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

simplify138.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1080×	`associate-+l+`
926×	`associate-+r+`
926×	`+-commutative`
802×	`associate-r`
740×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	518	10440
1	1413	9278
2	6653	9274

Stop Event

1×	node limit

Counts

254 → 310

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

eval884.0ms (7.2%)

Compiler: Compiled 36963 to 26869 computations (27.3% saved)

prune561.0ms (4.6%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1474	6	1480
Fresh	0	1	1
Picked	0	1	1
Done	4	7	11
Total	1478	15	1493

Error

Counts

1493 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	51.1b	(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (sqrt.f64 a) 1/3))
✓	0.2b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	20.1b	(-.f64 a 1/3)
✓	8.9b	(+.f64 (+.f64 -1/3 (/.f64 (.f64 (.f64 (+.f64 a -1/3) 1/3) rand) (sqrt.f64 (+.f64 a -1/3)))) a)
	8.8b	(+.f64 (+.f64 -1/3 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))) a)
✓	0.1b	(+.f64 (+.f64 -1/3 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) a)
	44.2b	(.f64 (pow.f64 (+.f64 -1/27 (.f64 a 1/9)) 1/2) rand)
	45.3b	(.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
✓	1.2b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	1.2b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
	51.1b	(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
✓	44.2b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
	44.2b	(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
✓	44.2b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	20.7b	a

Compiler

Compiled 176 to 137 computations (22.2% saved)

regimes62.0ms (0.5%)

Counts

27 → 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))
(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
(.f64 (pow.f64 (+.f64 -1/27 (.f64 a 1/9)) 1/2) rand)
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (sqrt.f64 a) 1/3))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(+.f64 (+.f64 -1/3 (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) a)
(+.f64 (+.f64 -1/3 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) a)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.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 -1/3 (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) a)
(+.f64 (+.f64 -1/3 (/.f64 (.f64 (.f64 (+.f64 a -1/3) 1/3) rand) (sqrt.f64 (+.f64 a -1/3)))) a)
(+.f64 (+.f64 -1/3 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))) a)
(+.f64 (+.f64 -1/3 (/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) a)
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(+.f64 (-.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (+.f64 a 1/3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 (/.f64 (.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (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)))

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

Calls

4 calls:

14.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
14.0ms	(-.f64 a (/.f64 1 3))
13.0ms	a
13.0ms	rand

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 381 to 289 computations (24.1% saved)

regimes23.0ms (0.2%)

Counts

17 → 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))
(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
(.f64 (pow.f64 (+.f64 -1/27 (.f64 a 1/9)) 1/2) rand)
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (sqrt.f64 a) 1/3))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(+.f64 (+.f64 -1/3 (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) a)
(+.f64 (+.f64 -1/3 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) a)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))

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

Calls

2 calls:

9.0ms	rand
8.0ms	a

Results

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

Compiler

Compiled 167 to 121 computations (27.5% saved)

regimes19.0ms (0.2%)

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))
(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
(.f64 (pow.f64 (+.f64 -1/27 (.f64 a 1/9)) 1/2) rand)
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (sqrt.f64 a) 1/3))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))

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

Calls

2 calls:

8.0ms	a
7.0ms	rand

Results

Error	Segments	Branch
1.2b	1	`a`
1.2b	1	`rand`

Compiler

Compiled 117 to 83 computations (29.1% saved)

regimes45.0ms (0.4%)

Counts

11 → 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))
(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
(.f64 (pow.f64 (+.f64 -1/27 (.f64 a 1/9)) 1/2) rand)
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (sqrt.f64 a) 1/3))

Outputs
(.f64 (pow.f64 (+.f64 -1/27 (.f64 a 1/9)) 1/2) rand)
(-.f64 a 1/3)
(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)

Calls

2 calls:

23.0ms	a
18.0ms	rand

Results

Error	Segments	Branch
16.9b	4	`a`
4.9b	3	`rand`

Compiler

Compiled 93 to 65 computations (30.1% saved)

bsearch41.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	2.575021171235987e+81	9.937871663652378e+92
16.0ms	-1.1340945083613777e+79	-3.99417216142748e+77

Results

36.0ms

272×

body

256

valid

Compiler

Compiled 323 to 268 computations (17% saved)

regimes31.0ms (0.3%)

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))
(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))

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:

17.0ms	a
13.0ms	rand

Results

Error	Segments	Branch
16.9b	4	`a`
4.9b	3	`rand`

Compiler

Compiled 44 to 31 computations (29.5% saved)

bsearch42.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	2.575021171235987e+81	9.937871663652378e+92
17.0ms	-1.1340945083613777e+79	-3.99417216142748e+77

Results

38.0ms

272×

body

256

valid

Compiler

Compiled 316 to 261 computations (17.4% saved)

regimes70.0ms (0.6%)

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:

55.0ms	rand
14.0ms	a

Results

Error	Segments	Branch
16.9b	4	`a`
5.0b	3	`rand`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	6.352529333753064e+93	1.1660384957195091e+95
17.0ms	-1.1340945083613777e+79	-3.99417216142748e+77

Results

30.0ms

224×

body

256

valid

Compiler

Compiled 265 to 219 computations (17.4% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.6b remaining (-3%)

Threshold costs -0.6b (-3%)

Counts

2 → 1

Calls

Call 1

Inputs
a
(-.f64 a 1/3)

Outputs
(-.f64 a 1/3)

Calls

2 calls:

3.0ms	a
3.0ms	rand

Results

Error	Segments	Branch
20.1b	1	`a`
20.1b	1	`rand`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	302
1	93	302

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(+.f64 (+.f64 -1/3 (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) a)
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
(if (<=.f64 rand -1700000000000000035007963403787570586390193653784774359305696795014503031898112) (.f64 (pow.f64 (+.f64 -1/27 (.f64 a 1/9)) 1/2) rand) (if (<=.f64 rand 8500000000000000096753924073574165613506341947741466194063755802261722875484662940041216) (-.f64 a 1/3) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)))
(if (<=.f64 rand -550000000000000035524702238301949927287550631479640307168546987116160736034816) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) (if (<=.f64 rand 2599999999999999921707637730999659166533941667958396797380109863378900291090907136) (-.f64 a 1/3) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)))
(if (<=.f64 rand -1750000000000000066285854925244669025603309322965034358526744230779265314979840) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 8999999999999999811435226584991697541757714881127914539776040775822231118719209958906265600000) (-.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 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(+.f64 (+.f64 -1/3 (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) a)
(+.f64 a (+.f64 -1/3 (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1/9 a)))))
(if (<=.f64 rand -1700000000000000035007963403787570586390193653784774359305696795014503031898112) (.f64 (pow.f64 (+.f64 -1/27 (.f64 a 1/9)) 1/2) rand) (if (<=.f64 rand 8500000000000000096753924073574165613506341947741466194063755802261722875484662940041216) (-.f64 a 1/3) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)))
(if (<=.f64 rand -1700000000000000035007963403787570586390193653784774359305696795014503031898112) (.f64 rand (pow.f64 (+.f64 -1/27 (.f64 a 1/9)) 1/2)) (if (<=.f64 rand 8500000000000000096753924073574165613506341947741466194063755802261722875484662940041216) (+.f64 a -1/3) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(if (<=.f64 rand -550000000000000035524702238301949927287550631479640307168546987116160736034816) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) (if (<=.f64 rand 2599999999999999921707637730999659166533941667958396797380109863378900291090907136) (-.f64 a 1/3) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)))
(if (or (<=.f64 rand -550000000000000035524702238301949927287550631479640307168546987116160736034816) (not (<=.f64 rand 2599999999999999921707637730999659166533941667958396797380109863378900291090907136))) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (+.f64 a -1/3))
(if (<=.f64 rand -1750000000000000066285854925244669025603309322965034358526744230779265314979840) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 8999999999999999811435226584991697541757714881127914539776040775822231118719209958906265600000) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (or (<=.f64 rand -1750000000000000066285854925244669025603309322965034358526744230779265314979840) (not (<=.f64 rand 8999999999999999811435226584991697541757714881127914539776040775822231118719209958906265600000))) (.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 126 to 98 computations (22.2% saved)

soundness566.0ms (4.6%)

Algorithm

2×	egg-herbie

Rules

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

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	819	16933
1	2038	15987

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 233 to 197 computations (15.5% saved)

end68.0ms (0.6%)

Compiler: Compiled 112 to 84 computations (25% saved)