Details

analyze101.0ms (0.8%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 20 computations (13% saved)

sample1.8s (13.5%)

Results

1.6s	8256×	body	256	valid
108.0ms	591×	body	256	infinite
79.0ms	561×	body	256	invalid

Bogosity

preprocess88.0ms (0.7%)

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)

simplify182.0ms (1.4%)

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

0.15%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.21%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
▶	0.24%	(.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)

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.13%	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
✓	0.15%	(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
✓	0.35%	(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)
✓	0.51%	(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))

Compiler

Compiled 67 to 54 computations (19.4% saved)

series49.0ms (0.4%)

Counts

4 → 42

Calls

18 calls:

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

rewrite121.0ms (0.9%)

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)))))))

simplify231.0ms (1.7%)

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))

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 9 a) -3)
✓	0.13%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
✓	0.15%	(sqrt.f64 (+.f64 (*.f64 9 a) -3))
✓	0.36%	(/.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)))

rewrite166.0ms (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)))))

simplify175.0ms (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)

eval560.0ms (4.2%)

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

prune246.0ms (1.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	876	12	888
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	877	13	890

Error

0.01%

Counts

890 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	60.33%	(/.f64 (fma.f64 a a -1/9) (/.f64 (.f64 (+.f64 a 1/3) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (-.f64 1 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))))
	75.89%	(/.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))))
▶	0.24%	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	32.55%	(-.f64 a 1/3)
▶	0.21%	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
	0.26%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
✓	0.21%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
	1.82%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
▶	0.2%	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) -1/2) rand)))
	0.25%	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
▶	66.6%	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
	66.65%	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	34.29%	a

Compiler

Compiled 403 to 319 computations (20.8% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(+.f64 (*.f64 9 a) -3)
✓	0.13%	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) -1/2) rand)))
✓	0.15%	(pow.f64 (+.f64 (*.f64 9 a) -3) -1/2)
✓	0.35%	(.f64 (pow.f64 (+.f64 (.f64 9 a) -3) -1/2) rand)

Compiler

Compiled 62 to 49 computations (21% saved)

series7.0ms (0.1%)

Counts

3 → 46

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(.f64 (pow.f64 (+.f64 (.f64 9 a) -3) -1/2) rand)
1.0ms	rand	@	0	(.f64 (pow.f64 (+.f64 (.f64 9 a) -3) -1/2) rand)
1.0ms	a	@	inf	(pow.f64 (+.f64 (*.f64 9 a) -3) -1/2)
0.0ms	a	@	-inf	(pow.f64 (+.f64 (*.f64 9 a) -3) -1/2)
0.0ms	a	@	-inf	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) -1/2) rand)))

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`distribute-rgt-in`
1276×	`distribute-lft-in`
400×	`associate-/r*`
354×	`add-sqr-sqrt`
334×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	75
1	357	71
2	4496	71

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

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

Outputs

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

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

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

simplify140.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1082×	`associate-+r+`
1054×	`associate-+l+`
992×	`associate-*r/`
944×	`+-commutative`
722×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	519	12024
1	1395	11270
2	4885	11266

Stop Event

1×	node limit

Counts

206 → 279

Calls

Call 1

Inputs
(*.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))))))
(.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))))
(sqrt.f64 -1/3)
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/3)))))
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 135/16 (.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/3))))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 3))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2)))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))))))
(.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)
(+.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 0)
(+.f64 1 (-.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 1))
(-.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))) (+.f64 (/.f64 (pow.f64 (fma.f64 9 a -3) -1) (/.f64 (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)) (*.f64 rand rand))) 1))
(pow.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 1)
(pow.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/4) (sqrt.f64 rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 3))
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(/.f64 (/.f64 (.f64 (+.f64 a -1/3) (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)))) (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))) (sqrt.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))
(/.f64 (/.f64 (.f64 (+.f64 a -1/3) (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)))) (.f64 (cbrt.f64 (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))) (cbrt.f64 (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))) (cbrt.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))
(/.f64 (/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 3))) 1) (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))
(/.f64 (/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 3))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))))
(/.f64 (/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 3))) (.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))) (cbrt.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))))) (cbrt.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))))
(/.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 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)))
(/.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 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 (pow.f64 (fma.f64 9 a -3) -1/2) 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 (pow.f64 (fma.f64 9 a -3) -1/2) 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 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 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 (pow.f64 (fma.f64 9 a -3) -1/2) 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 (pow.f64 (fma.f64 9 a -3) -1/2) 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 (pow.f64 (fma.f64 9 a -3) -1/2) 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 (pow.f64 (fma.f64 9 a -3) -1/2) 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 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand))) (+.f64 a -1/3)) 1) (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand))) (+.f64 a -1/3)) (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))) (sqrt.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand))) (+.f64 a -1/3)) (.f64 (cbrt.f64 (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))) (cbrt.f64 (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))) (cbrt.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 3)) (+.f64 a -1/3)) 1) (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 3)) (+.f64 a -1/3)) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 3)) (+.f64 a -1/3)) (.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))) (cbrt.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))))) (cbrt.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))))
(/.f64 (/.f64 (.f64 (fma.f64 a a -1/9) (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)))) (+.f64 a 1/3)) (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))
(/.f64 (/.f64 (.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 3))) (+.f64 a 1/3)) (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))
(/.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))) (-.f64 1 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))
(/.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 3))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))) (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand))) (fma.f64 a a -1/9)) (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))) (+.f64 a 1/3))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 3)) (fma.f64 a a -1/9)) (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))) (+.f64 a 1/3))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1) (.f64 rand rand)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))))
(fma.f64 (+.f64 a -1/3) 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (.f64 rand (+.f64 a -1/3))))
(fma.f64 1 (+.f64 a -1/3) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (.f64 rand (+.f64 a -1/3))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (.f64 rand (+.f64 a -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (.f64 rand (+.f64 a -1/3))))

Outputs
(*.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 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(+.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 a (/.f64 (sqrt.f64 -1/3) rand)) (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 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/2) (/.f64 (sqrt.f64 -1/3) (.f64 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 a (/.f64 (sqrt.f64 -1/3) rand)) (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 (.f64 (.f64 (pow.f64 a 3) 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 a (/.f64 (sqrt.f64 -1/3) rand)) (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 (sqrt.f64 -1/3) (.f64 rand (.f64 (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9) (pow.f64 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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -3))))
(sqrt.f64 -1/3)
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/3)))))
(+.f64 (fma.f64 3/2 (.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3)) (.f64 (.f64 27/8 (.f64 a a)) (sqrt.f64 -1/3)))
(fma.f64 3/2 (.f64 (sqrt.f64 -1/3) a) (.f64 (+.f64 (.f64 (.f64 a a) 27/8) 1) (sqrt.f64 -1/3)))
(fma.f64 3/2 (.f64 (sqrt.f64 -1/3) a) (.f64 (+.f64 1 (.f64 (.f64 a a) 27/8)) (sqrt.f64 -1/3)))
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 135/16 (.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/3))))))
(+.f64 (fma.f64 3/2 (.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3)) (fma.f64 135/16 (.f64 (sqrt.f64 -1/3) (pow.f64 a 3)) (.f64 (.f64 27/8 (*.f64 a a)) (sqrt.f64 -1/3))))
(+.f64 (fma.f64 3/2 (.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3)) (.f64 (sqrt.f64 -1/3) (+.f64 (.f64 (.f64 a a) 27/8) (*.f64 (pow.f64 a 3) 135/16))))
(+.f64 (fma.f64 3/2 (.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3)) (.f64 (sqrt.f64 -1/3) (+.f64 (.f64 (pow.f64 a 3) 135/16) (.f64 (*.f64 a a) 27/8))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2)))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) (.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (.f64 a a))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) a) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) (*.f64 a a)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 3))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2))))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (pow.f64 a 3)) (.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (.f64 a a)))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) (.f64 a a)) (.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) (pow.f64 a 3)))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 (*.f64 1/6 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) a))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2)))))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) a) (.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (.f64 a a)))))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (/.f64 1/24 (/.f64 (*.f64 a a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))))))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) a) (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (pow.f64 a 3)) (.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (.f64 a a))))))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (pow.f64 a 3)) (/.f64 1/24 (/.f64 (*.f64 a a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))))
(.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 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a (+.f64 -1/3 (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.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 1/6 (/.f64 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 (.f64 1/6 (+.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))))
(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 (.f64 rand 1/6) (/.f64 (sqrt.f64 -1/3) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) (*.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 1/6 (/.f64 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 rand (/.f64 (sqrt.f64 -1/3) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (.f64 1/6 (.f64 (/.f64 rand (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 (.f64 1/6 (+.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)))))
(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 rand (/.f64 (sqrt.f64 -1/3) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (.f64 1/6 (.f64 (/.f64 rand (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 (.f64 rand 1/6) (/.f64 (sqrt.f64 -1/3) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
a
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.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 -1/3 a))) 1/3))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(-.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 -1/3 a))) 1/3))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(-.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 -1/3 a))) 1/3))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.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 -1/3 a)))
(.f64 rand (.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -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 -1/3 a))) 1/3))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(-.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 -1/3 a))) 1/3))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(-.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 -1/3 a))) 1/3))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.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 -1/3 a)))
(.f64 rand (.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -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 -1/3 a))) 1/3))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(-.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 -1/3 a))) 1/3))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(-.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 -1/3 a))) 1/3))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(+.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 0)
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
(+.f64 1 (-.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 1))
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
(-.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1)
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))) (+.f64 (/.f64 (pow.f64 (fma.f64 9 a -3) -1) (/.f64 (-.f64 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)) (*.f64 rand rand))) 1))
(-.f64 (/.f64 1 (-.f64 1 (.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2)))) (+.f64 1 (.f64 (/.f64 (/.f64 1 (fma.f64 9 a -3)) (-.f64 1 (.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2)))) (.f64 rand rand))))
(+.f64 (/.f64 (-.f64 1 (.f64 rand (.f64 rand (/.f64 1 (fma.f64 a 9 -3))))) (-.f64 1 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (.f64 rand (.f64 rand (/.f64 1 (fma.f64 a 9 -3))))) (-.f64 1 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)))))
(pow.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 1)
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
(pow.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/4) (sqrt.f64 rand)) 2)
(pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (sqrt.f64 rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)) 3)
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 3) 1/3)
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
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(sqrt.f64 (.f64 rand (.f64 rand (/.f64 1 (fma.f64 a 9 -3)))))
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(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
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(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
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(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) 1)
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(*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 1)
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(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 9 a -3))))
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(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 9 a -3))) 1))
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(pow.f64 (fma.f64 a 9 -3) -1/2)
(+.f64 a (+.f64 -1/3 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (.f64 rand (+.f64 a -1/3)))))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
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(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
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(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
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(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 3) 1/3)
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 2))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (+.f64 -1/3 a)) 2))
(fabs.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) (+.f64 a -1/3)))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 3))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 3)))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))) 1))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(fma.f64 (+.f64 a -1/3) 1 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (.f64 rand (+.f64 a -1/3))))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(fma.f64 1 (+.f64 a -1/3) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (.f64 rand (+.f64 a -1/3))))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (.f64 rand (+.f64 a -1/3))))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (.f64 rand (+.f64 a -1/3))))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 a 1/3)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1180×	`add-sqr-sqrt`
1154×	`*-un-lft-identity`
1110×	`pow1`
1090×	`add-cube-cbrt`
1082×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1401	7

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(-.f64 a 1/3)

Outputs

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1418×	`associate-/r/`
884×	`fma-def`
866×	`associate-r`
706×	`*-commutative`
688×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	503
1	166	423
2	597	423
3	2898	413
4	7361	413

Stop Event

1×	node limit

Counts

33 → 34

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 a -1/3)
✓	0.03%	(sqrt.f64 (+.f64 a -1/3))
✓	0.43%	(*.f64 1/3 rand)
✓	0.53%	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))

Compiler

Compiled 24 to 17 computations (29.2% saved)

series5.0ms (0%)

Counts

4 → 32

Calls

15 calls:

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

rewrite80.0ms (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	48
1	229	48
2	2737	48

Stop Event

1×	node limit

Counts

4 → 181

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

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

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1360×	`times-frac`
766×	`associate-r`
712×	`associate-*r/`
608×	`associate-/r/`
604×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	467	6509
1	1154	5933
2	4558	5835

Stop Event

1×	node limit

Counts

213 → 300

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))))
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 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))))
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)
(-.f64 (exp.f64 (log1p.f64 a)) 4/3)
(-.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (+.f64 a 1/3)))
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)
(*.f64 (+.f64 a -1/3) 1)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1 (+.f64 a -1/3))
(.f64 (pow.f64 (+.f64 a -1/3) 1/4) (.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))
(.f64 (cbrt.f64 (+.f64 a -1/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 a -1/3)))
(.f64 (-.f64 1/9 (.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (fma.f64 a a -1/9))
(.f64 (/.f64 1 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))) (+.f64 -1/27 (pow.f64 a 3)))
(*.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 (neg.f64 a) -1/3)))
(.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (/.f64 1 (neg.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3))))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 (.f64 a a) (*.f64 -1/3 (+.f64 a -1/3))))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (pow.f64 a 4) (pow.f64 (+.f64 1/9 (.f64 a 1/3)) 2))) (-.f64 (fma.f64 a a -1/9) (*.f64 a 1/3)))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (pow.f64 (.f64 a a) 3) (pow.f64 (+.f64 1/9 (.f64 a 1/3)) 3))) (+.f64 (pow.f64 a 4) (.f64 (+.f64 1/9 (.f64 a 1/3)) (-.f64 (+.f64 1/9 (.f64 a 1/3)) (*.f64 a a)))))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (+.f64 a -1/3))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 (.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/4) (pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/4))
(*.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/6) (pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/6))
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 a -1/3)) 1))
(/.f64 1 (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))
(/.f64 1 (/.f64 (+.f64 (neg.f64 a) -1/3) (neg.f64 (fma.f64 a a -1/9))))
(/.f64 1 (/.f64 (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (/.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (fma.f64 a a -1/9))) (/.f64 (+.f64 a 1/3) (cbrt.f64 (fma.f64 a a -1/9))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3))) (+.f64 (pow.f64 a 3) 1/27)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (.f64 (+.f64 a 1/3) (+.f64 1/9 (.f64 a a))))
(/.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3))) (-.f64 (+.f64 (pow.f64 a 6) 1/729) (*.f64 -1/27 (pow.f64 a 3)))))
(/.f64 (+.f64 (pow.f64 (.f64 a a) 3) -1/729) (.f64 (+.f64 a 1/3) (+.f64 (+.f64 (pow.f64 a 4) 1/81) (.f64 1/9 (.f64 a a)))))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (+.f64 (neg.f64 a) -1/3))
(/.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (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 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 1 (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a))
(/.f64 (.f64 (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 (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)) 1) (-.f64 -1/3 a))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) 1) (+.f64 (neg.f64 a) -1/3))
(/.f64 (.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) 1) (neg.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (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)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (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)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 1 (+.f64 a 1/3))) (+.f64 1/9 (.f64 a a)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 a a) 3) -1/729) (/.f64 1 (+.f64 a 1/3))) (+.f64 (+.f64 (pow.f64 a 4) 1/81) (.f64 1/9 (.f64 a a))))
(/.f64 (.f64 (+.f64 (pow.f64 a 6) -1/729) (/.f64 1 (+.f64 1/9 (.f64 a (+.f64 a 1/3))))) (+.f64 (pow.f64 a 3) 1/27))
(/.f64 (.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (/.f64 1 (+.f64 1/9 (.f64 a (+.f64 a 1/3))))) (-.f64 (+.f64 (pow.f64 a 6) 1/729) (*.f64 -1/27 (pow.f64 a 3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (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 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (/.f64 (+.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 -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 (exp.f64 (log.f64 (+.f64 2/3 a))) (exp.f64 (log.f64 (+.f64 2/3 a)))) 1) (+.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1))
(/.f64 (-.f64 (.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 a (/.f64 (+.f64 a 1/3) a))) (.f64 (/.f64 1/9 (+.f64 a 1/3)) (/.f64 1/9 (+.f64 a 1/3)))) (+.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (+.f64 a 1/3))))
(pow.f64 (+.f64 a -1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 4)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 6)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 2/3)
(neg.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 a) -1/3)))
(neg.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))
(sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))
(log.f64 (exp.f64 (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))
(expm1.f64 (log.f64 (+.f64 2/3 a)))
(exp.f64 (log.f64 (+.f64 a -1/3)))
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(fma.f64 1 a -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) -1/3)

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(-.f64 a 1/3)
✓	0.03%	(sqrt.f64 (-.f64 a 1/3))
✓	0.46%	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
✓	0.6%	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 48 to 34 computations (29.2% saved)

series3.0ms (0%)

Counts

3 → 12

Calls

15 calls:

Time	Variable		Point	Expression
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	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)

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`*-commutative`
676×	`unswap-sqr`
570×	`swap-sqr`
440×	`associate-*r/`
380×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	211	51
2	2595	51

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

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

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

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

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

992×	`associate-/l*`
942×	`unswap-sqr`
886×	`*-commutative`
704×	`times-frac`
672×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	3482
1	654	3270
2	2122	3224
3	7921	3224

Stop Event

1×	node limit

Counts

102 → 180

Calls

Call 1

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.03%	(sqrt.f64 (+.f64 a -1/3))
✓	0.13%	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
✓	0.35%	(/.f64 rand (sqrt.f64 (+.f64 a -1/3)))
✓	0.4%	(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)

Compiler

Compiled 52 to 39 computations (25% saved)

series4.0ms (0%)

Counts

3 → 50

Calls

18 calls:

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

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`associate-/r*`
1308×	`associate-/l*`
544×	`associate-/r/`
404×	`associate-/l/`
312×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	310	77
2	4215	77

Stop Event

1×	node limit

Counts

3 → 205

Calls

Call 1

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

Outputs

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

simplify153.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1148×	`associate-/r/`
904×	`associate-+r+`
884×	`associate-+l+`
768×	`+-commutative`
538×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	576	12917
1	1494	12519
2	5252	12429

Stop Event

1×	node limit

Counts

255 → 336

Calls

Call 1

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

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

eval649.0ms (4.9%)

Compiler: Compiled 32643 to 25606 computations (21.6% saved)

prune427.0ms (3.2%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1332	9	1341
Fresh	4	3	7
Picked	0	1	1
Done	2	3	5
Total	1338	16	1354

Error

Counts

1354 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	73.67%	(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
	81.92%	(/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 (.f64 a a) (-.f64 1/9 (.f64 a -1/3))))
	0.23%	(-.f64 (+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) a) 1/3)
	1.84%	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
✓	32.55%	(-.f64 a 1/3)
	81.9%	(.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (+.f64 1/9 (.f64 a 1/3)))))
✓	0.21%	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
▶	0.21%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 3)))
✓	0.21%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
▶	1.82%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
▶	1.8%	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (pow.f64 (*.f64 9 a) -1/2) rand)))
✓	66.6%	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
▶	68.21%	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
	66.65%	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	34.29%	a
	98.42%	-1/3

Compiler

Compiled 323 to 253 computations (21.7% saved)

localize107.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.04%	(pow.f64 (+.f64 a -1/3) -1/2)
✓	0.13%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 3)))
✓	0.36%	(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)
✓	0.4%	(/.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 3)

Compiler

Compiled 58 to 45 computations (22.4% saved)

series7.0ms (0%)

Counts

4 → 62

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(/.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 3)
1.0ms	rand	@	0	(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)
1.0ms	a	@	-inf	(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)
1.0ms	a	@	-inf	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 3)))
1.0ms	a	@	-inf	(pow.f64 (+.f64 a -1/3) -1/2)

rewrite115.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1154×	`distribute-rgt-in`
1114×	`distribute-lft-in`
718×	`associate-/l*`
708×	`associate-/r*`
366×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	314	96
2	4092	96

Stop Event

1×	node limit

Counts

4 → 203

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 3)
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 3)))
(pow.f64 (+.f64 a -1/3) -1/2)

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

simplify184.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1074×	`associate-+r+`
986×	`associate-+l+`
952×	`+-commutative`
638×	`associate-r`
592×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	616	14107
1	1600	13437
2	5615	13433

Stop Event

1×	node limit

Counts

265 → 346

Calls

Call 1

Inputs
(.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 rand (sqrt.f64 -3))
(+.f64 (.f64 rand (sqrt.f64 -3)) (.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 rand (sqrt.f64 -3)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (.f64 -9/2 (/.f64 (.f64 a rand) (sqrt.f64 -3)))))
(+.f64 (.f64 rand (sqrt.f64 -3)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -9/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/2 (/.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 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(sqrt.f64 -3)
(+.f64 (sqrt.f64 -3) (.f64 3/2 (.f64 a (sqrt.f64 -3))))
(+.f64 (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -3))) (+.f64 (sqrt.f64 -3) (.f64 3/2 (.f64 a (sqrt.f64 -3)))))
(+.f64 (.f64 135/16 (.f64 (pow.f64 a 3) (sqrt.f64 -3))) (+.f64 (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -3))) (+.f64 (sqrt.f64 -3) (.f64 3/2 (.f64 a (sqrt.f64 -3))))))
(sqrt.f64 (/.f64 1 a))
(+.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))))
(+.f64 (sqrt.f64 (/.f64 1 a)) (+.f64 (.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))) (.f64 1/24 (sqrt.f64 (/.f64 1 (pow.f64 a 5))))))
(+.f64 (sqrt.f64 (/.f64 1 a)) (+.f64 (.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))) (+.f64 (.f64 1/24 (sqrt.f64 (/.f64 1 (pow.f64 a 5)))) (*.f64 5/432 (sqrt.f64 (/.f64 1 (pow.f64 a 7)))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))))))
(+.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (.f64 rand 1/3)) 0)
(+.f64 1 (-.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (.f64 rand 1/3)) 1))
(-.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (.f64 rand 1/3)))) (+.f64 (/.f64 (.f64 (.f64 (.f64 rand rand) (pow.f64 (+.f64 a -1/3) -1)) 1/9) (-.f64 1 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3)))) 1))
(.f64 -1/3 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (neg.f64 rand)))
(.f64 (pow.f64 (+.f64 a -1/3) -1/2) (.f64 rand 1/3))
(.f64 (pow.f64 (+.f64 a -1/3) -1/2) (.f64 1/3 rand))
(.f64 rand (.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1/3))
(.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3)
(.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3)) 1)
(.f64 1 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3)))
(*.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/4) (sqrt.f64 (/.f64 3 rand))) (/.f64 (pow.f64 (+.f64 a -1/3) -1/4) (sqrt.f64 (/.f64 3 rand))))
(.f64 (.f64 (sqrt.f64 rand) (pow.f64 (+.f64 a -1/3) -1/4)) (.f64 (.f64 (sqrt.f64 rand) (pow.f64 (+.f64 a -1/3) -1/4)) 1/3))
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(*.f64 (pow.f64 (+.f64 a -1/3) -1/4) (pow.f64 (+.f64 a -1/3) -1/4))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -1/2)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -1)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1/2) (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) -1/2))
(sqrt.f64 (pow.f64 (+.f64 a -1/3) -1))
(log.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 a -1/3) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (+.f64 a -1/3))))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (+.f64 a -1/3))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 a -1/3) -1/2)))

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(.f64 (.f64 1/3 rand) (sqrt.f64 -3))
(+.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 1/3 (.f64 rand (sqrt.f64 -3)) (/.f64 -3/2 (/.f64 (sqrt.f64 -3) (.f64 rand a))))
(+.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 rand (.f64 a a)))))))
(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 (/.f64 (sqrt.f64 -3) rand) (.f64 a a)))))
(+.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 rand (pow.f64 a 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 rand (.f64 a a))))))))
(fma.f64 1/3 (.f64 rand (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 (/.f64 (sqrt.f64 -3) (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 (/.f64 (sqrt.f64 -3) rand) (.f64 a a))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand)
(.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 (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand)
(.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 (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand)
(.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 (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand)
(.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 (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand)
(.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 (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand)
(.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 (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand)
(.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 (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand)
(.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 (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand)
(.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 (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand)
(.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 (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand)
(.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 (.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand)
(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 1/3 rand))
(*.f64 rand (sqrt.f64 -3))
(+.f64 (.f64 rand (sqrt.f64 -3)) (.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 rand (sqrt.f64 -3) (*.f64 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) -9/2))
(fma.f64 rand (sqrt.f64 -3) (/.f64 -9/2 (/.f64 (sqrt.f64 -3) (*.f64 rand a))))
(+.f64 (.f64 rand (sqrt.f64 -3)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (.f64 -9/2 (/.f64 (.f64 a rand) (sqrt.f64 -3)))))
(fma.f64 rand (sqrt.f64 -3) (fma.f64 -1/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 rand (.f64 a a)))) (*.f64 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) -9/2)))
(fma.f64 rand (sqrt.f64 -3) (fma.f64 (.f64 (/.f64 a (sqrt.f64 -3)) rand) -9/2 (/.f64 (.f64 (.f64 -1/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (.f64 rand (*.f64 a a))) (sqrt.f64 -3))))
(+.f64 (.f64 rand (sqrt.f64 -3)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -9/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/2 (/.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))))))
(fma.f64 rand (sqrt.f64 -3) (fma.f64 -1/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 rand (.f64 a a)))) (fma.f64 -9/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (.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 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) -1/2))))
(fma.f64 rand (sqrt.f64 -3) (fma.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (/.f64 (sqrt.f64 -3) rand) (.f64 a a))) -1/2 (fma.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (/.f64 (sqrt.f64 -3) (pow.f64 a 3)) rand)) -1/2 (/.f64 -9/2 (/.f64 (sqrt.f64 -3) (.f64 rand a))))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(.f64 -1/3 (fma.f64 1/3 (.f64 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 (+.f64 (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) 1) (/.f64 (.f64 1/2 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 (+.f64 (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) 1) (/.f64 (.f64 1/2 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 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 (.f64 1/18 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (sqrt.f64 -3) rand))) (+.f64 -1/3 (.f64 (*.f64 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 (+.f64 (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) 1) (/.f64 (.f64 1/2 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 rand (/.f64 (sqrt.f64 -3) (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81))))) (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 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 (.f64 1/18 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (sqrt.f64 -3) rand))) (+.f64 -1/3 (.f64 (*.f64 rand (sqrt.f64 -3)) -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 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.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 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.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 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.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 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.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 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.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 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.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 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.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 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.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 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(sqrt.f64 -3)
(+.f64 (sqrt.f64 -3) (.f64 3/2 (.f64 a (sqrt.f64 -3))))
(+.f64 (sqrt.f64 -3) (.f64 3/2 (.f64 (sqrt.f64 -3) a)))
(.f64 (+.f64 (.f64 a 3/2) 1) (sqrt.f64 -3))
(.f64 (+.f64 1 (.f64 a 3/2)) (sqrt.f64 -3))
(+.f64 (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -3))) (+.f64 (sqrt.f64 -3) (.f64 3/2 (.f64 a (sqrt.f64 -3)))))
(fma.f64 27/8 (.f64 (sqrt.f64 -3) (.f64 a a)) (+.f64 (sqrt.f64 -3) (.f64 3/2 (.f64 (sqrt.f64 -3) a))))
(fma.f64 27/8 (.f64 (sqrt.f64 -3) (.f64 a a)) (.f64 (+.f64 (.f64 a 3/2) 1) (sqrt.f64 -3)))
(fma.f64 27/8 (.f64 (sqrt.f64 -3) (.f64 a a)) (.f64 (+.f64 1 (.f64 a 3/2)) (sqrt.f64 -3)))
(+.f64 (.f64 135/16 (.f64 (pow.f64 a 3) (sqrt.f64 -3))) (+.f64 (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -3))) (+.f64 (sqrt.f64 -3) (.f64 3/2 (.f64 a (sqrt.f64 -3))))))
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(-.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1) 1)
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1))) 2)
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(.f64 -1/3 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (neg.f64 rand)))
(.f64 (pow.f64 (+.f64 a -1/3) -1/2) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 (pow.f64 (+.f64 a -1/3) -1/2) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 rand (.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1/3))
(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3)
(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3)) 1)
(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 1 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3)))
(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/4) (sqrt.f64 (/.f64 3 rand))) (/.f64 (pow.f64 (+.f64 a -1/3) -1/4) (sqrt.f64 (/.f64 3 rand))))
(pow.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/4) (sqrt.f64 (/.f64 3 rand))) 2)
(.f64 (.f64 (sqrt.f64 rand) (pow.f64 (+.f64 a -1/3) -1/4)) (.f64 (.f64 (sqrt.f64 rand) (pow.f64 (+.f64 a -1/3) -1/4)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/4) (sqrt.f64 rand)) 2) 1/3)
(.f64 1/3 (pow.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/4) (sqrt.f64 rand)) 2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (.f64 rand 1/3))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))) 2))
(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (.f64 rand 1/3))) 2) (cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))
(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)) 2) (.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)) 1/3))
(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 1/3 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand))
(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (neg.f64 rand)) -1/3)
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(*.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) 3) rand)
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(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1) (.f64 1/3 rand))
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(*.f64 (sqrt.f64 rand) (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) (/.f64 3 (sqrt.f64 rand))))
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(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
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(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(exp.f64 (log.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (.f64 rand 1/3))))
(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
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(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (.f64 rand 1/3))))
(.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
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(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1)
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(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/4) (sqrt.f64 rand)) 2)
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(sqrt.f64 (.f64 (.f64 rand rand) (/.f64 1 (+.f64 a -1/3))))
(sqrt.f64 (.f64 rand (/.f64 (.f64 rand 1) (+.f64 a -1/3))))
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(*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)))
(*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)) 1))
(*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2))
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(*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2))
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(+.f64 a (.f64 1 (+.f64 -1/3 (.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))))
(fma.f64 (*.f64 (/.f64 (+.f64 a -1/3) 3) rand) (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3))
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(+.f64 -1/3 (+.f64 a (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (pow.f64 (+.f64 a -1/3) -1/2))))
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(+.f64 (+.f64 -1/3 (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (pow.f64 (+.f64 a -1/3) -1/2))) a)
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(+.f64 (+.f64 a (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (pow.f64 (+.f64 a -1/3) -1/2))) -1/3)
(fma.f64 (*.f64 (/.f64 (+.f64 a -1/3) 3) rand) (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3))
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(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(+.f64 (.f64 (fma.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1) -1/3) (.f64 (fma.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1) a))
(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
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(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
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(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
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(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
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(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
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(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
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(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
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(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
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(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
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(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
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(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
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(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
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(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 3) 1/27 1) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))) (+.f64 1 (fma.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)) (.f64 -1/3 (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 3) 1/27)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (.f64 (.f64 (.f64 rand rand) (pow.f64 (+.f64 a -1/3) -1)) 1/9) (.f64 (pow.f64 (+.f64 a -1/3) -1/2) (.f64 rand 1/3))))) (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)))) (/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 3) 1/27)) (+.f64 1 (fma.f64 (.f64 (.f64 rand rand) (/.f64 1 (+.f64 a -1/3))) 1/9 (neg.f64 (.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2))))))))
(.f64 (fma.f64 (pow.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 3) 1/27 1) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (.f64 (+.f64 1 (fma.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)) (.f64 -1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2))))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))))
(pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1)) 1)
(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(pow.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1))) 2)
(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(pow.f64 (cbrt.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1))) 3)
(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(pow.f64 (pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1)) 3) 1/3)
(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(sqrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1)) 2))
(sqrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1)) 2))
(fabs.f64 (.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1)))
(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1)))))
(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(cbrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1)) 3))
(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1) 3)))
(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(expm1.f64 (log1p.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1))))
(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(exp.f64 (log.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1))))
(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a -1/3) (fma.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1))) 1))
(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(log1p.f64 (expm1.f64 (.f64 (+.f64 a -1/3) (fma.f64 (.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1/3 1))))
(.f64 (+.f64 a -1/3) (fma.f64 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3 1))
(.f64 (+.f64 a -1/3) (fma.f64 1/3 (.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(fma.f64 (*.f64 (/.f64 (+.f64 a -1/3) 3) rand) (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3))
(fma.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand (-.f64 (/.f64 a 3) 1/9)) (+.f64 a -1/3))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(fma.f64 (*.f64 (/.f64 (+.f64 a -1/3) 3) rand) (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3))
(fma.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand (-.f64 (/.f64 a 3) 1/9)) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(fma.f64 (*.f64 (/.f64 (+.f64 a -1/3) 3) rand) (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3))
(fma.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand (-.f64 (/.f64 a 3) 1/9)) (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(fma.f64 (*.f64 (/.f64 (+.f64 a -1/3) 3) rand) (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3))
(fma.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand (-.f64 (/.f64 a 3) 1/9)) (+.f64 a -1/3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 a -1/3) -1/2))) 1)
(pow.f64 (+.f64 a -1/3) -1/2)
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1)
(pow.f64 (+.f64 a -1/3) -1/2)
(*.f64 1 (pow.f64 (+.f64 a -1/3) -1/2))
(pow.f64 (+.f64 a -1/3) -1/2)
(*.f64 (pow.f64 (+.f64 a -1/3) -1/4) (pow.f64 (+.f64 a -1/3) -1/4))
(pow.f64 (+.f64 a -1/3) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -1/2)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) -1)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -1)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 a -1/3) -1/2))
(pow.f64 (+.f64 a -1/3) -1/2)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1/2) (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1/2))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1)
(/.f64 1 (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))
(sqrt.f64 (pow.f64 (+.f64 a -1/3) -1))
(sqrt.f64 (/.f64 1 (+.f64 a -1/3)))
(log.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(pow.f64 (+.f64 a -1/3) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 a -1/3) -1/2))))
(pow.f64 (+.f64 a -1/3) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) -1/2) 3))
(pow.f64 (+.f64 a -1/3) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(pow.f64 (+.f64 a -1/3) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (+.f64 a -1/3))))
(pow.f64 (+.f64 a -1/3) -1/2)
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (+.f64 a -1/3))) 1))
(pow.f64 (+.f64 a -1/3) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(pow.f64 (+.f64 a -1/3) -1/2)

localize29.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.43%	(*.f64 1/3 rand)
✓	0.54%	(.f64 (sqrt.f64 a) (.f64 1/3 rand))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`add-sqr-sqrt`
1604×	`*-un-lft-identity`
1488×	`add-cube-cbrt`
1470×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	178	17
2	2053	17

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1692×	`distribute-rgt-in`
1674×	`distribute-lft-in`
922×	`associate-r`
842×	`log-prod`
830×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	431
1	102	431
2	332	431
3	2488	429

Stop Event

1×	node limit

Counts

25 → 17

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(fma.f64 a a -1/9)
✓	45.94%	(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))

Compiler

Compiled 20 to 13 computations (35% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-*r/`
994×	`associate-/r*`
830×	`*-commutative`
736×	`associate-*l/`
702×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	199	16
2	2555	16

Stop Event

1×	node limit

Counts

2 → 129

Calls

Call 1

Inputs
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(fma.f64 a a -1/9)

Outputs

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

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

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1470×	`associate-/r/`
1462×	`distribute-lft-neg-out`
660×	`associate-r`
584×	`distribute-lft-neg-in`
576×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	3269
1	758	2993
2	4512	2987

Stop Event

1×	node limit

Counts

153 → 167

Calls

Call 1

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

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

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(+.f64 a -1/3)
✓	0.14%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	0.17%	(sqrt.f64 (*.f64 9 a))
✓	0.35%	(/.f64 rand (sqrt.f64 (*.f64 9 a)))

Compiler

Compiled 43 to 31 computations (27.9% saved)

series7.0ms (0.1%)

Counts

3 → 26

Calls

15 calls:

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

rewrite118.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

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

Outputs

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

simplify135.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

215 → 275

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(+.f64 a -1/3)
✓	0.14%	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (pow.f64 (*.f64 9 a) -1/2) rand)))
✓	0.15%	(pow.f64 (*.f64 9 a) -1/2)
✓	0.34%	(.f64 (pow.f64 (.f64 9 a) -1/2) rand)

Compiler

Compiled 48 to 36 computations (25% saved)

series55.0ms (0.4%)

Counts

3 → 38

Calls

15 calls:

Time	Variable		Point	Expression
32.0ms	a	@	0	(pow.f64 (*.f64 9 a) -1/2)
10.0ms	a	@	-inf	(pow.f64 (*.f64 9 a) -1/2)
9.0ms	a	@	inf	(pow.f64 (*.f64 9 a) -1/2)
1.0ms	rand	@	0	(.f64 (pow.f64 (.f64 9 a) -1/2) rand)
0.0ms	a	@	0	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (pow.f64 (*.f64 9 a) -1/2) rand)))

rewrite110.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1732×	`associate-*r/`
1534×	`associate-*l/`
304×	`add-sqr-sqrt`
288×	`add-exp-log`
288×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	308	65
2	3890	65

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/3 (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3)))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 (pow.f64 (*.f64 9 a) -1/2) rand 1)) (*.f64 -1/3 (fma.f64 (pow.f64 (*.f64 9 a) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (fma.f64 (pow.f64 (*.f64 9 a) -1/2) rand 1)) (*.f64 a (fma.f64 (pow.f64 (*.f64 9 a) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand) a) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand) -1/3) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand) -1/3) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand) a) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3))) 1) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand)) (+.f64 (*.f64 a (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand) a)) (*.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand) -1/3)) (*.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 a -1/3) (*.f64 a (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 a -1/3) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand))) (*.f64 a (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (+.f64 -1/3 (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (*.f64 9 a) -1/2) rand 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (-.f64 1 (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (-.f64 1 (*.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (-.f64 (/.f64 1/9 (+.f64 a 1/3)) (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (-.f64 (/.f64 1/9 (+.f64 a 1/3)) (*.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3))) (exp.f64 (log.f64 (+.f64 2/3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) (*.f64 rand (+.f64 a -1/3))) (/.f64 a (/.f64 (+.f64 a 1/3) a))) (/.f64 1/9 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a -1/3) (/.f64 1 (fma.f64 (pow.f64 (*.f64 9 a) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 9 a) -1/2) rand 1) (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (pow.f64 (*.f64 9 a) -1))) (/.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (pow.f64 (*.f64 9 a) -1))) (/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand)) (+.f64 a 1/3)) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (pow.f64 (*.f64 9 a) -1))) (/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (fma.f64 (pow.f64 (*.f64 9 a) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (/.f64 (*.f64 (+.f64 a 1/3) (-.f64 1 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand))) (-.f64 1 (*.f64 (*.f64 rand rand) (pow.f64 (*.f64 9 a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (/.f64 (*.f64 (+.f64 a 1/3) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (pow.f64 (*.f64 9 a) -1)) (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand)))) (+.f64 1 (pow.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) rand) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (*.f64 9 a) -1/2) 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simplify388.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1020×	`associate-/l*`
910×	`associate-+r+`
898×	`associate-+l+`
800×	`+-commutative`
532×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	542	14468
1	1461	13114
2	5860	13108

Stop Event

1×	node limit

Counts

240 → 289

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

eval818.0ms (6.2%)

Compiler: Compiled 34378 to 25746 computations (25.1% saved)

prune405.0ms (3.1%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1418	10	1428
Fresh	3	4	7
Picked	1	0	1
Done	5	3	8
Total	1427	17	1444

Error

Counts

1444 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	32.73%	(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
▶	73.67%	(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3))
	1.84%	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
✓	32.55%	(-.f64 a 1/3)
	73.78%	(.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (.f64 a a)))
▶	1.83%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 (sqrt.f64 (/.f64 1 a)) rand) 3)))
	1.85%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (.f64 (sqrt.f64 a) 3))))
✓	0.21%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
▶	66.64%	(.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
✓	68.21%	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
	3.61%	(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
	3.59%	(.f64 a (+.f64 1 (.f64 (pow.f64 (*.f64 9 a) -1/2) rand)))
	66.65%	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶	68.26%	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
▶	93.46%	(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))
	34.29%	a
	98.42%	-1/3

Compiler

Compiled 311 to 242 computations (22.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.14%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 (sqrt.f64 (/.f64 1 a)) rand) 3)))
✓	0.2%	(sqrt.f64 (/.f64 1 a))
✓	0.32%	(*.f64 (sqrt.f64 (/.f64 1 a)) rand)
✓	0.38%	(/.f64 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 3)

Compiler

Compiled 55 to 41 computations (25.5% saved)

series12.0ms (0.1%)

Counts

4 → 26

Calls

21 calls:

Time	Variable		Point	Expression
9.0ms	a	@	-inf	(/.f64 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 3)
0.0ms	a	@	-inf	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 (sqrt.f64 (/.f64 1 a)) rand) 3)))
0.0ms	a	@	-inf	(sqrt.f64 (/.f64 1 a))
0.0ms	a	@	-inf	(*.f64 (sqrt.f64 (/.f64 1 a)) rand)
0.0ms	a	@	inf	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 (sqrt.f64 (/.f64 1 a)) rand) 3)))

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1152×	`distribute-lft-in`
942×	`associate-/r*`
836×	`associate-/l*`
434×	`associate-/r/`
330×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	92
1	331	66
2	4358	66

Stop Event

1×	node limit

Counts

4 → 221

Calls

Call 1

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

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

simplify162.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1054×	`associate-+r+`
1024×	`associate-+l+`
688×	`+-commutative`
554×	`associate-r`
532×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	527	10323
1	1315	9443
2	5223	9439

Stop Event

1×	node limit

Counts

247 → 294

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.03%	(-.f64 (*.f64 a a) 1/9)
✓	45.94%	(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3))

Compiler

Compiled 25 to 14 computations (44% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`associate-/r*`
1350×	`associate-/l*`
1018×	`associate-/r/`
934×	`*-commutative`
682×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	215	16
2	2959	16

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1038×	`associate-r`
944×	`associate-l`
716×	`distribute-lft-in`
702×	`associate-/l*`
634×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	400	5734
1	1243	5164

Stop Event

1×	node limit

Counts

180 → 227

Calls

Call 1

Inputs
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
-1/9
(-.f64 (pow.f64 a 2) 1/9)
(-.f64 (pow.f64 a 2) 1/9)
(-.f64 (pow.f64 a 2) 1/9)
(pow.f64 a 2)
(-.f64 (pow.f64 a 2) 1/9)
(-.f64 (pow.f64 a 2) 1/9)
(-.f64 (pow.f64 a 2) 1/9)
(pow.f64 a 2)
(-.f64 (pow.f64 a 2) 1/9)
(-.f64 (pow.f64 a 2) 1/9)
(-.f64 (pow.f64 a 2) 1/9)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(+.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) (neg.f64 (/.f64 1/9 (+.f64 a 1/3))))
(+.f64 (.f64 (/.f64 a (+.f64 a 1/3)) a) (.f64 1 (neg.f64 (/.f64 1/9 (+.f64 a 1/3)))))
(+.f64 (.f64 (/.f64 a (+.f64 a 1/3)) a) (.f64 (/.f64 1 (+.f64 a 1/3)) -1/9))
(+.f64 (neg.f64 (/.f64 1/9 (+.f64 a 1/3))) (*.f64 (/.f64 a (+.f64 a 1/3)) a))
(+.f64 (.f64 (/.f64 1 (+.f64 a 1/3)) -1/9) (.f64 (/.f64 a (+.f64 a 1/3)) a))
(+.f64 (.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) a) (.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) -1/3))
(+.f64 (.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) -1/3) (.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) a))
(+.f64 (.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (.f64 (/.f64 a (+.f64 a 1/3)) a)) (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (neg.f64 (/.f64 1/9 (+.f64 a 1/3)))))
(+.f64 (.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (.f64 a a)) (.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 1/9 (.f64 a -1/3))))
(+.f64 (.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 1/9 (.f64 a -1/3))) (.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (.f64 a a)))
(+.f64 (.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a 1/9)) (.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (*.f64 a -1/3)))
(-.f64 a 1/3)
(-.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) (/.f64 1/9 (+.f64 a 1/3)))
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)
(-.f64 (exp.f64 (log1p.f64 a)) 4/3)
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(*.f64 (+.f64 a -1/3) 1)
(*.f64 (+.f64 a -1/3) (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)))
(*.f64 1 (+.f64 a -1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (fma.f64 a a -1/9))
(.f64 (+.f64 (fma.f64 a a 1/9) (.f64 a -1/3)) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)))
(.f64 (-.f64 1/9 (.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))
(.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))) (sqrt.f64 (fma.f64 a a -1/9)))
(.f64 (.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))
(*.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (/.f64 1 (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 (fma.f64 a a 1/9) (.f64 a -1/3)))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (-.f64 (fma.f64 a a 1/9) (.f64 a 1/3)))
(.f64 (/.f64 1 (fma.f64 a a -1/9)) (.f64 (fma.f64 a a -1/9) (+.f64 a -1/3)))
(.f64 (/.f64 1 (+.f64 (pow.f64 a 3) 1/27)) (.f64 (fma.f64 a a -1/9) (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (.f64 a a)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a a -1/9))) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (fma.f64 a a -1/9))) (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)) (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a a -1/9))))
(.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 1/9 (.f64 a a))) (neg.f64 (+.f64 a -1/3)))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 4) -1/81)) (.f64 (+.f64 a -1/3) (fma.f64 a a 1/9)))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 6) -1/729)) (.f64 (+.f64 a -1/3) (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4)))))
(.f64 (/.f64 (-.f64 1/9 (.f64 a a)) (-.f64 1/9 (*.f64 a a))) (+.f64 a -1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (+.f64 a 1/3)) (cbrt.f64 (fma.f64 a a -1/9)))
(.f64 (/.f64 (fma.f64 a a -1/9) (neg.f64 (+.f64 (pow.f64 a 3) 1/27))) (neg.f64 (+.f64 (fma.f64 a a 1/9) (.f64 a -1/3))))
(*.f64 (/.f64 1 (/.f64 (+.f64 a 1/3) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))) (cbrt.f64 (fma.f64 a a -1/9)))
(.f64 (/.f64 (-.f64 1/9 (.f64 a a)) (neg.f64 (+.f64 (pow.f64 a 3) 1/27))) (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 1 (+.f64 a 1/3))) (+.f64 (pow.f64 a 4) -1/81)) (fma.f64 a a -1/9))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 1 (+.f64 a 1/3))) (+.f64 1/729 (pow.f64 a 6))) (+.f64 (pow.f64 a 4) (-.f64 1/81 (.f64 a (.f64 a 1/9)))))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 a 1/3)) (+.f64 (pow.f64 a 6) -1/729)) (-.f64 (.f64 (pow.f64 a 4) (pow.f64 a 4)) (.f64 (+.f64 1/81 (.f64 a (.f64 a 1/9))) (+.f64 1/81 (.f64 a (.f64 a 1/9)))))) (-.f64 (pow.f64 a 4) (+.f64 1/81 (.f64 a (.f64 a 1/9)))))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 a 1/3)) (+.f64 (pow.f64 a 6) -1/729)) (+.f64 (pow.f64 (pow.f64 a 4) 3) (pow.f64 (+.f64 1/81 (.f64 a (.f64 a 1/9))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 a 4) (pow.f64 a 4)) (.f64 (+.f64 1/81 (.f64 a (.f64 a 1/9))) (+.f64 1/81 (.f64 a (.f64 a 1/9))))) (.f64 (pow.f64 a 4) (+.f64 1/81 (.f64 a (*.f64 a 1/9))))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 (pow.f64 a 3) 1/27))) (sqrt.f64 (+.f64 (fma.f64 a a 1/9) (.f64 a -1/3))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -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)))
(.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 (pow.f64 a 3) 1/27))) (cbrt.f64 (+.f64 (fma.f64 a a 1/9) (.f64 a -1/3))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a a) (+.f64 a 1/3)) (.f64 1/9 (+.f64 a 1/3))) (pow.f64 (fma.f64 a a -1/9) 2)) (pow.f64 (+.f64 a -1/3) 2))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a a) (+.f64 a 1/3)) (.f64 1/9 (+.f64 a 1/3))) (.f64 (+.f64 (pow.f64 a 3) 1/27) (+.f64 (pow.f64 a 3) 1/27))) (.f64 (+.f64 (fma.f64 a a 1/9) (.f64 a -1/3)) (+.f64 (fma.f64 a a 1/9) (.f64 a -1/3))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a a) (+.f64 a 1/3)) (.f64 1/9 (+.f64 a 1/3))) (*.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) (+.f64 a -1/3))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a a) (+.f64 a 1/3)) (.f64 1/9 (+.f64 a 1/3))) (.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 3) 1/27))) (+.f64 (fma.f64 a a 1/9) (.f64 a -1/3)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a a) (+.f64 a 1/3)) (.f64 1/9 (+.f64 a 1/3))) (.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))) (.f64 (+.f64 a -1/3) (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(pow.f64 (+.f64 a -1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(neg.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 -1/3 a)))
(sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))
(log.f64 (exp.f64 (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a a -1/9) 3) (pow.f64 (+.f64 a 1/3) 3)))
(expm1.f64 (log.f64 (+.f64 2/3 a)))
(exp.f64 (log.f64 (+.f64 a -1/3)))
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(fma.f64 1 a -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) -1/3)
(+.f64 (*.f64 a a) -1/9)
(+.f64 -1/9 (*.f64 a a))
(*.f64 (fma.f64 a a -1/9) 1)
(*.f64 1 (fma.f64 a a -1/9))
(*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (fma.f64 a a -1/9)))
(*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (cbrt.f64 (fma.f64 a a -1/9)))
(*.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 1 (fma.f64 a a 1/9)))
(.f64 (+.f64 (pow.f64 a 6) -1/729) (/.f64 1 (+.f64 1/81 (+.f64 (.f64 a (*.f64 a 1/9)) (pow.f64 a 4)))))
(*.f64 (/.f64 1 (fma.f64 a a 1/9)) (+.f64 (pow.f64 a 4) -1/81))
(.f64 (/.f64 1 (+.f64 1/81 (+.f64 (.f64 a (*.f64 a 1/9)) (pow.f64 a 4)))) (+.f64 (pow.f64 a 6) -1/729))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (+.f64 (pow.f64 a 4) -1/81)) (fma.f64 a a -1/9))
(.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (+.f64 1/729 (pow.f64 a 6))) (+.f64 (pow.f64 a 4) (-.f64 1/81 (.f64 a (*.f64 a 1/9)))))
(.f64 (/.f64 (+.f64 (pow.f64 a 6) -1/729) (-.f64 (.f64 (pow.f64 a 4) (pow.f64 a 4)) (.f64 (+.f64 1/81 (.f64 a (.f64 a 1/9))) (+.f64 1/81 (.f64 a (.f64 a 1/9)))))) (-.f64 (pow.f64 a 4) (+.f64 1/81 (.f64 a (*.f64 a 1/9)))))
(.f64 (/.f64 (+.f64 (pow.f64 a 6) -1/729) (+.f64 (pow.f64 (pow.f64 a 4) 3) (pow.f64 (+.f64 1/81 (.f64 a (.f64 a 1/9))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 a 4) (pow.f64 a 4)) (.f64 (+.f64 1/81 (.f64 a (.f64 a 1/9))) (+.f64 1/81 (.f64 a (.f64 a 1/9))))) (.f64 (pow.f64 a 4) (+.f64 1/81 (.f64 a (.f64 a 1/9))))))
(/.f64 (fma.f64 a a -1/9) 1)
(/.f64 1 (/.f64 1 (fma.f64 a a -1/9)))
(/.f64 1 (/.f64 (-.f64 (+.f64 1/81 (pow.f64 a 4)) (.f64 (.f64 a a) -1/9)) (+.f64 (pow.f64 a 6) -1/729)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (/.f64 1 (cbrt.f64 (fma.f64 a a -1/9))))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 1 (/.f64 1 (fma.f64 a a 1/9))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (-.f64 (+.f64 1/81 (pow.f64 a 4)) (.f64 (.f64 a a) -1/9)))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (/.f64 1 (/.f64 1 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4))))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (.f64 1 (-.f64 (+.f64 1/81 (pow.f64 a 4)) (.f64 (*.f64 a a) -1/9))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 4) -1/81)) (/.f64 (fma.f64 a a 1/9) (sqrt.f64 (+.f64 (pow.f64 a 4) -1/81))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 6) -1/729)) (/.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4))) (sqrt.f64 (+.f64 (pow.f64 a 6) -1/729))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 6) -1/729)) (/.f64 (-.f64 (+.f64 1/81 (pow.f64 a 4)) (.f64 (.f64 a a) -1/9)) (sqrt.f64 (+.f64 (pow.f64 a 6) -1/729))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81)) (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81))) (/.f64 (fma.f64 a a 1/9) (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729)) (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729))) (/.f64 (+.f64 1/81 (+.f64 (.f64 a (*.f64 a 1/9)) (pow.f64 a 4))) (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729)) (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729))) (/.f64 (-.f64 (+.f64 1/81 (pow.f64 a 4)) (.f64 (*.f64 a a) -1/9)) (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 4) -1/81)) (neg.f64 (fma.f64 a a 1/9)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 4) -1/81)) (*.f64 1 (neg.f64 (fma.f64 a a 1/9))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 6) -1/729)) (neg.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 6) -1/729)) (.f64 1 (neg.f64 (+.f64 1/81 (+.f64 (.f64 a (*.f64 a 1/9)) (pow.f64 a 4))))))
(/.f64 (-.f64 (.f64 (pow.f64 a 6) (pow.f64 a 6)) 1/531441) (.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4))) (+.f64 1/729 (pow.f64 a 6))))
(/.f64 (-.f64 (.f64 (pow.f64 a 6) (pow.f64 a 6)) 1/531441) (.f64 (-.f64 (+.f64 1/81 (pow.f64 a 4)) (.f64 (.f64 a a) -1/9)) (+.f64 1/729 (pow.f64 a 6))))
(/.f64 (-.f64 (.f64 (pow.f64 a 4) (pow.f64 a 4)) 1/6561) (.f64 (fma.f64 a a 1/9) (+.f64 1/81 (pow.f64 a 4))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a 6) 3) 1/387420489) (.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4))) (+.f64 (+.f64 (.f64 (pow.f64 a 6) (pow.f64 a 6)) 1/531441) (*.f64 1/729 (pow.f64 a 6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a 6) 3) 1/387420489) (.f64 (-.f64 (+.f64 1/81 (pow.f64 a 4)) (.f64 (.f64 a a) -1/9)) (+.f64 (+.f64 (.f64 (pow.f64 a 6) (pow.f64 a 6)) 1/531441) (*.f64 1/729 (pow.f64 a 6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a 4) 3) 1/531441) (.f64 (fma.f64 a a 1/9) (+.f64 (.f64 (pow.f64 a 4) (pow.f64 a 4)) (+.f64 1/6561 (*.f64 1/81 (pow.f64 a 4))))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) 1) (fma.f64 a a 1/9))
(/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (sqrt.f64 (fma.f64 a a 1/9))) (sqrt.f64 (fma.f64 a a 1/9)))
(/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (cbrt.f64 (fma.f64 a a 1/9)) (cbrt.f64 (fma.f64 a a 1/9)))) (cbrt.f64 (fma.f64 a a 1/9)))
(/.f64 (/.f64 (+.f64 (pow.f64 a 6) -1/729) 1) (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 6) -1/729) (sqrt.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4))))) (sqrt.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4)))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 6) -1/729) (.f64 (cbrt.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4)))) (cbrt.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4)))))) (cbrt.f64 (+.f64 1/81 (+.f64 (.f64 a (*.f64 a 1/9)) (pow.f64 a 4)))))
(pow.f64 (fma.f64 a a -1/9) 1)
(pow.f64 (sqrt.f64 (fma.f64 a a -1/9)) 2)
(pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 a a -1/9) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 a a -1/9) 2))
(log.f64 (exp.f64 (fma.f64 a a -1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a a -1/9))))
(cbrt.f64 (pow.f64 (fma.f64 a a -1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 a a -1/9)))
(exp.f64 (log.f64 (fma.f64 a a -1/9)))
(log1p.f64 (expm1.f64 (fma.f64 a a -1/9)))
(fma.f64 a a -1/9)
(fma.f64 1 (*.f64 a a) -1/9)
(fma.f64 (cbrt.f64 (pow.f64 a 4)) (cbrt.f64 (*.f64 a a)) -1/9)

Outputs
-1/3
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
-1/9
(-.f64 (pow.f64 a 2) 1/9)
(fma.f64 a a -1/9)
(-.f64 (pow.f64 a 2) 1/9)
(fma.f64 a a -1/9)
(-.f64 (pow.f64 a 2) 1/9)
(fma.f64 a a -1/9)
(pow.f64 a 2)
(*.f64 a a)
(-.f64 (pow.f64 a 2) 1/9)
(fma.f64 a a -1/9)
(-.f64 (pow.f64 a 2) 1/9)
(fma.f64 a a -1/9)
(-.f64 (pow.f64 a 2) 1/9)
(fma.f64 a a -1/9)
(pow.f64 a 2)
(*.f64 a a)
(-.f64 (pow.f64 a 2) 1/9)
(fma.f64 a a -1/9)
(-.f64 (pow.f64 a 2) 1/9)
(fma.f64 a a -1/9)
(-.f64 (pow.f64 a 2) 1/9)
(fma.f64 a a -1/9)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(+.f64 -1/3 a)
(+.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) (neg.f64 (/.f64 1/9 (+.f64 a 1/3))))
(fma.f64 (/.f64 a (+.f64 a 1/3)) a (/.f64 -1/9 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(+.f64 (.f64 (/.f64 a (+.f64 a 1/3)) a) (.f64 1 (neg.f64 (/.f64 1/9 (+.f64 a 1/3)))))
(fma.f64 (/.f64 a (+.f64 a 1/3)) a (/.f64 -1/9 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(+.f64 (.f64 (/.f64 a (+.f64 a 1/3)) a) (.f64 (/.f64 1 (+.f64 a 1/3)) -1/9))
(fma.f64 (/.f64 a (+.f64 a 1/3)) a (/.f64 -1/9 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(+.f64 (neg.f64 (/.f64 1/9 (+.f64 a 1/3))) (*.f64 (/.f64 a (+.f64 a 1/3)) a))
(fma.f64 (/.f64 a (+.f64 a 1/3)) a (/.f64 -1/9 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(+.f64 (.f64 (/.f64 1 (+.f64 a 1/3)) -1/9) (.f64 (/.f64 a (+.f64 a 1/3)) a))
(fma.f64 (/.f64 a (+.f64 a 1/3)) a (/.f64 -1/9 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(+.f64 (.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) a) (.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) -1/3))
(+.f64 -1/3 a)
(+.f64 (.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) -1/3) (.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) a))
(+.f64 -1/3 a)
(+.f64 (.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (.f64 (/.f64 a (+.f64 a 1/3)) a)) (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (neg.f64 (/.f64 1/9 (+.f64 a 1/3)))))
(fma.f64 (/.f64 a (+.f64 a 1/3)) a (/.f64 -1/9 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(+.f64 (.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (.f64 a a)) (.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 1/9 (.f64 a -1/3))))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 (+.f64 1/9 (.f64 -1/3 a)) (*.f64 a a)))
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(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729)) (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729))) (/.f64 (-.f64 (+.f64 1/81 (pow.f64 a 4)) (.f64 (*.f64 a a) -1/9)) (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729)) (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729))) (+.f64 1/81 (fma.f64 a (*.f64 a 1/9) (pow.f64 a 4)))) (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729)))
(.f64 (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729)) (/.f64 (+.f64 (pow.f64 a 4) (fma.f64 (.f64 a a) 1/9 1/81)) (cbrt.f64 (+.f64 (pow.f64 a 6) -1/729)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 4) -1/81)) (neg.f64 (fma.f64 a a 1/9)))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 4) -1/81)) (*.f64 1 (neg.f64 (fma.f64 a a 1/9))))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 6) -1/729)) (neg.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4)))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (+.f64 1/81 (fma.f64 a (*.f64 a 1/9) (pow.f64 a 4))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (-.f64 -1/81 (.f64 (.f64 a a) (fma.f64 a a 1/9))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 6) -1/729)) (.f64 1 (neg.f64 (+.f64 1/81 (+.f64 (.f64 a (*.f64 a 1/9)) (pow.f64 a 4))))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (+.f64 1/81 (fma.f64 a (*.f64 a 1/9) (pow.f64 a 4))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (-.f64 -1/81 (.f64 (.f64 a a) (fma.f64 a a 1/9))))
(/.f64 (-.f64 (.f64 (pow.f64 a 6) (pow.f64 a 6)) 1/531441) (.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4))) (+.f64 1/729 (pow.f64 a 6))))
(/.f64 (+.f64 (pow.f64 a 12) -1/531441) (.f64 (+.f64 1/81 (fma.f64 a (.f64 a 1/9) (pow.f64 a 4))) (+.f64 (pow.f64 a 6) 1/729)))
(/.f64 (+.f64 (pow.f64 a 12) -1/531441) (.f64 (+.f64 (pow.f64 a 4) (fma.f64 (.f64 a a) 1/9 1/81)) (+.f64 (pow.f64 a 6) 1/729)))
(/.f64 (-.f64 (.f64 (pow.f64 a 6) (pow.f64 a 6)) 1/531441) (.f64 (-.f64 (+.f64 1/81 (pow.f64 a 4)) (.f64 (.f64 a a) -1/9)) (+.f64 1/729 (pow.f64 a 6))))
(/.f64 (+.f64 (pow.f64 a 12) -1/531441) (.f64 (+.f64 1/81 (fma.f64 a (.f64 a 1/9) (pow.f64 a 4))) (+.f64 (pow.f64 a 6) 1/729)))
(/.f64 (+.f64 (pow.f64 a 12) -1/531441) (.f64 (+.f64 (pow.f64 a 4) (fma.f64 (.f64 a a) 1/9 1/81)) (+.f64 (pow.f64 a 6) 1/729)))
(/.f64 (-.f64 (.f64 (pow.f64 a 4) (pow.f64 a 4)) 1/6561) (.f64 (fma.f64 a a 1/9) (+.f64 1/81 (pow.f64 a 4))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 8) -1/6561) (fma.f64 a a 1/9)) (+.f64 (pow.f64 a 4) 1/81))
(/.f64 (-.f64 (pow.f64 (pow.f64 a 6) 3) 1/387420489) (.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4))) (+.f64 (+.f64 (.f64 (pow.f64 a 6) (pow.f64 a 6)) 1/531441) (*.f64 1/729 (pow.f64 a 6)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a 6) 3) -1/387420489) (.f64 (+.f64 1/81 (fma.f64 a (.f64 a 1/9) (pow.f64 a 4))) (+.f64 (+.f64 (pow.f64 a 12) 1/531441) (*.f64 (pow.f64 a 6) 1/729))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 a 6) 3) -1/387420489) (fma.f64 (pow.f64 a 6) 1/729 (+.f64 (pow.f64 a 12) 1/531441))) (+.f64 (pow.f64 a 4) (fma.f64 (*.f64 a a) 1/9 1/81)))
(/.f64 (-.f64 (pow.f64 (pow.f64 a 6) 3) 1/387420489) (.f64 (-.f64 (+.f64 1/81 (pow.f64 a 4)) (.f64 (.f64 a a) -1/9)) (+.f64 (+.f64 (.f64 (pow.f64 a 6) (pow.f64 a 6)) 1/531441) (*.f64 1/729 (pow.f64 a 6)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a 6) 3) -1/387420489) (.f64 (+.f64 1/81 (fma.f64 a (.f64 a 1/9) (pow.f64 a 4))) (+.f64 (+.f64 (pow.f64 a 12) 1/531441) (*.f64 (pow.f64 a 6) 1/729))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 a 6) 3) -1/387420489) (fma.f64 (pow.f64 a 6) 1/729 (+.f64 (pow.f64 a 12) 1/531441))) (+.f64 (pow.f64 a 4) (fma.f64 (*.f64 a a) 1/9 1/81)))
(/.f64 (-.f64 (pow.f64 (pow.f64 a 4) 3) 1/531441) (.f64 (fma.f64 a a 1/9) (+.f64 (.f64 (pow.f64 a 4) (pow.f64 a 4)) (+.f64 1/6561 (*.f64 1/81 (pow.f64 a 4))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a 4) 3) -1/531441) (.f64 (fma.f64 a a 1/9) (+.f64 (+.f64 (pow.f64 a 8) 1/6561) (.f64 (pow.f64 a 4) 1/81))))
(/.f64 (+.f64 (pow.f64 a 12) -1/531441) (*.f64 (fma.f64 a a 1/9) (+.f64 (pow.f64 a 8) (fma.f64 (pow.f64 a 4) 1/81 1/6561))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) 1) (fma.f64 a a 1/9))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9))
(/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (sqrt.f64 (fma.f64 a a 1/9))) (sqrt.f64 (fma.f64 a a 1/9)))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9))
(/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (cbrt.f64 (fma.f64 a a 1/9)) (cbrt.f64 (fma.f64 a a 1/9)))) (cbrt.f64 (fma.f64 a a 1/9)))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9))
(/.f64 (/.f64 (+.f64 (pow.f64 a 6) -1/729) 1) (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (+.f64 1/81 (fma.f64 a (*.f64 a 1/9) (pow.f64 a 4))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (-.f64 -1/81 (.f64 (.f64 a a) (fma.f64 a a 1/9))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 6) -1/729) (sqrt.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4))))) (sqrt.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4)))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (+.f64 1/81 (fma.f64 a (*.f64 a 1/9) (pow.f64 a 4))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (-.f64 -1/81 (.f64 (.f64 a a) (fma.f64 a a 1/9))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 6) -1/729) (.f64 (cbrt.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4)))) (cbrt.f64 (+.f64 1/81 (+.f64 (.f64 a (.f64 a 1/9)) (pow.f64 a 4)))))) (cbrt.f64 (+.f64 1/81 (+.f64 (.f64 a (*.f64 a 1/9)) (pow.f64 a 4)))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (+.f64 1/81 (fma.f64 a (*.f64 a 1/9) (pow.f64 a 4))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (-.f64 -1/81 (.f64 (.f64 a a) (fma.f64 a a 1/9))))
(pow.f64 (fma.f64 a a -1/9) 1)
(fma.f64 a a -1/9)
(pow.f64 (sqrt.f64 (fma.f64 a a -1/9)) 2)
(fma.f64 a a -1/9)
(pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 3)
(fma.f64 a a -1/9)
(pow.f64 (pow.f64 (fma.f64 a a -1/9) 3) 1/3)
(fma.f64 a a -1/9)
(sqrt.f64 (pow.f64 (fma.f64 a a -1/9) 2))
(fabs.f64 (fma.f64 a a -1/9))
(log.f64 (exp.f64 (fma.f64 a a -1/9)))
(fma.f64 a a -1/9)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a a -1/9))))
(fma.f64 a a -1/9)
(cbrt.f64 (pow.f64 (fma.f64 a a -1/9) 3))
(fma.f64 a a -1/9)
(expm1.f64 (log1p.f64 (fma.f64 a a -1/9)))
(fma.f64 a a -1/9)
(exp.f64 (log.f64 (fma.f64 a a -1/9)))
(fma.f64 a a -1/9)
(log1p.f64 (expm1.f64 (fma.f64 a a -1/9)))
(fma.f64 a a -1/9)
(fma.f64 a a -1/9)
(fma.f64 1 (*.f64 a a) -1/9)
(fma.f64 a a -1/9)
(fma.f64 (cbrt.f64 (pow.f64 a 4)) (cbrt.f64 (*.f64 a a)) -1/9)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.46%	(*.f64 (sqrt.f64 a) rand)
✓	0.6%	(.f64 1/3 (.f64 (sqrt.f64 a) rand))

Compiler

Compiled 17 to 7 computations (58.8% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

12 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`add-sqr-sqrt`
1604×	`*-un-lft-identity`
1488×	`add-cube-cbrt`
1470×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	178	28
2	2054	28

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1116×	`associate-+r+`
1048×	`associate-+l+`
998×	`fma-def`
768×	`associate-*r/`
680×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	376
1	146	376
2	580	376
3	2551	372

Stop Event

1×	node limit

Counts

26 → 31

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.56%	(*.f64 a 1/9)
✓	14.79%	(.f64 (.f64 rand rand) (*.f64 a 1/9))
✓	39.41%	(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))

Compiler

Compiled 26 to 13 computations (50% saved)

series6.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1822×	`add-sqr-sqrt`
1802×	`*-un-lft-identity`
1678×	`add-cube-cbrt`
1656×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	202	43
2	2398	43

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

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

Outputs

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

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

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

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1044×	`log-prod`
610×	`*-commutative`
560×	`+-commutative`
524×	`distribute-lft-in`
508×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	1614
1	294	1614
2	1250	1614
3	4035	1614

Stop Event

1×	node limit

Counts

104 → 71

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 -1/3 (.f64 (sqrt.f64 a) rand))
(.f64 -1/3 (.f64 (sqrt.f64 a) rand))
(.f64 -1/3 (.f64 (sqrt.f64 a) rand))
(.f64 -1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(-.f64 (exp.f64 (log1p.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3)))) 1)
(.f64 rand (.f64 (sqrt.f64 a) 1/3))
(.f64 (.f64 rand (*.f64 (sqrt.f64 a) 1/3)) 1)
(.f64 1 (.f64 rand (*.f64 (sqrt.f64 a) 1/3)))
(.f64 (.f64 (sqrt.f64 a) 1/3) rand)
(.f64 (sqrt.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))) (sqrt.f64 (.f64 rand (*.f64 (sqrt.f64 a) 1/3))))
(.f64 (sqrt.f64 rand) (sqrt.f64 (.f64 rand (*.f64 a 1/9))))
(.f64 (sqrt.f64 rand) (pow.f64 (.f64 rand (*.f64 a 1/9)) 1/2))
(.f64 (cbrt.f64 (.f64 (.f64 rand rand) (.f64 a 1/9))) (cbrt.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))))
(.f64 (cbrt.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))) (cbrt.f64 (.f64 (.f64 rand rand) (.f64 a 1/9))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 rand rand) (.f64 a 1/9))) 2)) (sqrt.f64 (cbrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))))
(.f64 (sqrt.f64 (.f64 rand (*.f64 rand a))) 1/3)
(.f64 (pow.f64 1 1/2) (.f64 rand (*.f64 (sqrt.f64 a) 1/3)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 rand rand) (.f64 a 1/9))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9))) 1/2))
(.f64 (pow.f64 (.f64 rand (*.f64 rand a)) 1/2) (pow.f64 1/9 1/2))
(pow.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)) 1/2)
(pow.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3)) 1)
(pow.f64 (sqrt.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))) 2)
(pow.f64 (cbrt.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))) 3)
(pow.f64 (pow.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3)) 3) 1/3)
(fabs.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3)))
(log.f64 (pow.f64 (exp.f64 rand) (*.f64 (sqrt.f64 a) 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3)))))
(cbrt.f64 (pow.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3)) 3))
(expm1.f64 (log1p.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))))
(exp.f64 (log.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 rand rand) (.f64 a 1/9))) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 rand (*.f64 (sqrt.f64 a) 1/3))) 1))
(log1p.f64 (expm1.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))) 1)
(pow.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)) 1)
(pow.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3)) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)) 2))
(log.f64 (pow.f64 (exp.f64 (.f64 a 1/9)) (.f64 rand rand)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9))))
(exp.f64 (log.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 rand rand) (.f64 a 1/9))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1)
(pow.f64 (*.f64 a 1/9) 1)
(pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)
(pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)
(pow.f64 (pow.f64 (*.f64 a 1/9) 3) 1/3)
(sqrt.f64 (.f64 (.f64 a a) 1/81))
(log.f64 (exp.f64 (*.f64 a 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/9))))
(cbrt.f64 (pow.f64 (*.f64 a 1/9) 3))
(expm1.f64 (log1p.f64 (*.f64 a 1/9)))
(exp.f64 (log.f64 (*.f64 a 1/9)))
(exp.f64 (.f64 (log.f64 (.f64 a 1/9)) 1))
(log1p.f64 (expm1.f64 (*.f64 a 1/9)))

Outputs
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 -1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (.f64 (sqrt.f64 a) rand) -1/3)
(.f64 (.f64 -1/3 rand) (sqrt.f64 a))
(.f64 (sqrt.f64 a) (.f64 rand -1/3))
(.f64 -1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (.f64 (sqrt.f64 a) rand) -1/3)
(.f64 (.f64 -1/3 rand) (sqrt.f64 a))
(.f64 (sqrt.f64 a) (.f64 rand -1/3))
(.f64 -1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (.f64 (sqrt.f64 a) rand) -1/3)
(.f64 (.f64 -1/3 rand) (sqrt.f64 a))
(.f64 (sqrt.f64 a) (.f64 rand -1/3))
(.f64 -1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (.f64 (sqrt.f64 a) rand) -1/3)
(.f64 (.f64 -1/3 rand) (sqrt.f64 a))
(.f64 (sqrt.f64 a) (.f64 rand -1/3))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 a)
(*.f64 a 1/9)
(*.f64 1/9 a)
(*.f64 a 1/9)
(*.f64 1/9 a)
(*.f64 a 1/9)
(*.f64 1/9 a)
(*.f64 a 1/9)
(*.f64 1/9 a)
(*.f64 a 1/9)
(*.f64 1/9 a)
(*.f64 a 1/9)
(*.f64 1/9 a)
(*.f64 a 1/9)
(*.f64 1/9 a)
(*.f64 a 1/9)
(*.f64 1/9 a)
(*.f64 a 1/9)
(*.f64 1/9 a)
(*.f64 a 1/9)
(*.f64 1/9 a)
(*.f64 a 1/9)
(*.f64 1/9 a)
(*.f64 a 1/9)
(-.f64 (exp.f64 (log1p.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3)))) 1)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 rand (.f64 (sqrt.f64 a) 1/3))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 (.f64 rand (*.f64 (sqrt.f64 a) 1/3)) 1)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 1 (.f64 rand (*.f64 (sqrt.f64 a) 1/3)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 (.f64 (sqrt.f64 a) 1/3) rand)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 (sqrt.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))) (sqrt.f64 (.f64 rand (*.f64 (sqrt.f64 a) 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 (sqrt.f64 rand) (sqrt.f64 (.f64 rand (*.f64 a 1/9))))
(.f64 (sqrt.f64 rand) (sqrt.f64 (.f64 a (*.f64 1/9 rand))))
(.f64 (sqrt.f64 (.f64 a (*.f64 rand 1/9))) (sqrt.f64 rand))
(.f64 (sqrt.f64 rand) (pow.f64 (.f64 rand (*.f64 a 1/9)) 1/2))
(.f64 (sqrt.f64 rand) (sqrt.f64 (.f64 rand (*.f64 a 1/9))))
(.f64 (sqrt.f64 rand) (sqrt.f64 (.f64 a (*.f64 1/9 rand))))
(.f64 (sqrt.f64 (.f64 a (*.f64 rand 1/9))) (sqrt.f64 rand))
(.f64 (cbrt.f64 (.f64 (.f64 rand rand) (.f64 a 1/9))) (cbrt.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 (cbrt.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))) (cbrt.f64 (.f64 (.f64 rand rand) (.f64 a 1/9))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 rand rand) (.f64 a 1/9))) 2)) (sqrt.f64 (cbrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 (sqrt.f64 (.f64 rand (*.f64 rand a))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 (pow.f64 1 1/2) (.f64 rand (*.f64 (sqrt.f64 a) 1/3)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 rand rand) (.f64 a 1/9))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9))) 1/2))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 (pow.f64 (.f64 rand (*.f64 rand a)) 1/2) (pow.f64 1/9 1/2))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(pow.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)) 1/2)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(pow.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3)) 1)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(pow.f64 (sqrt.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))) 2)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(pow.f64 (cbrt.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))) 3)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(pow.f64 (pow.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3)) 3) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(fabs.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(log.f64 (pow.f64 (exp.f64 rand) (*.f64 (sqrt.f64 a) 1/3)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(cbrt.f64 (pow.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3)) 3))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(expm1.f64 (log1p.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(exp.f64 (log.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 rand rand) (.f64 a 1/9))) 1/2))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(exp.f64 (.f64 (log.f64 (.f64 rand (*.f64 (sqrt.f64 a) 1/3))) 1))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(log1p.f64 (expm1.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))) 1)
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(pow.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)) 1)
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(pow.f64 (.f64 rand (.f64 (sqrt.f64 a) 1/3)) 2)
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(pow.f64 (cbrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9))) 3)
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(pow.f64 (pow.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)) 2) 1/2)
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(pow.f64 (pow.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)) 3) 1/3)
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(sqrt.f64 (pow.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)) 2))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(log.f64 (pow.f64 (exp.f64 (.f64 a 1/9)) (.f64 rand rand)))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(cbrt.f64 (pow.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)) 3))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(expm1.f64 (log1p.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9))))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(exp.f64 (log.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9))))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 rand rand) (.f64 a 1/9))) 1))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(log1p.f64 (expm1.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9))))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 rand (.f64 a (*.f64 1/9 rand)))
(.f64 rand (.f64 a (*.f64 rand 1/9)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1)
(*.f64 a 1/9)
(pow.f64 (*.f64 a 1/9) 1)
(*.f64 a 1/9)
(pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)
(*.f64 a 1/9)
(pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)
(*.f64 a 1/9)
(pow.f64 (pow.f64 (*.f64 a 1/9) 3) 1/3)
(*.f64 a 1/9)
(sqrt.f64 (.f64 (.f64 a a) 1/81))
(*.f64 a 1/9)
(log.f64 (exp.f64 (*.f64 a 1/9)))
(*.f64 a 1/9)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/9))))
(*.f64 a 1/9)
(cbrt.f64 (pow.f64 (*.f64 a 1/9) 3))
(*.f64 a 1/9)
(expm1.f64 (log1p.f64 (*.f64 a 1/9)))
(*.f64 a 1/9)
(exp.f64 (log.f64 (*.f64 a 1/9)))
(*.f64 a 1/9)
(exp.f64 (.f64 (log.f64 (.f64 a 1/9)) 1))
(*.f64 a 1/9)
(log1p.f64 (expm1.f64 (*.f64 a 1/9)))
(*.f64 a 1/9)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(+.f64 a -1/3)
	0.03%	(sqrt.f64 (+.f64 a -1/3))
✓	0.39%	(.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
✓	0.57%	(*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))

Compiler

Compiled 27 to 20 computations (25.9% saved)

series2.0ms (0%)

Counts

2 → 20

Calls

9 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 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
0.0ms	a	@	inf	(.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`*-commutative`
718×	`unswap-sqr`
590×	`swap-sqr`
422×	`associate-*r/`
396×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	229	40
2	2742	40

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1346×	`associate-+r+`
1310×	`associate-+l+`
1042×	`associate-/r*`
694×	`associate-*r/`
664×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	1951
1	366	1741
2	1150	1731
3	4186	1731

Stop Event

1×	node limit

Counts

59 → 106

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

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

eval1.5s (11.3%)

Compiler: Compiled 18231 to 12935 computations (29% saved)

prune322.0ms (2.4%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	958	4	962
Fresh	3	6	9
Picked	0	1	1
Done	2	5	7
Total	963	16	979

Error

Counts

979 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	32.73%	(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
✓	73.67%	(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3))
	1.84%	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
✓	32.55%	(-.f64 a 1/3)
	73.78%	(.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (.f64 a a)))
	1.82%	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
	1.81%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 (pow.f64 a -1/2) rand) 3)))
✓	66.64%	(.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
	66.56%	(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
✓	68.21%	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
	68.17%	(.f64 rand (sqrt.f64 (.f64 a 1/9)))
	3.61%	(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	68.26%	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
✓	93.46%	(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))
	34.29%	a
	98.42%	-1/3

Compiler

Compiled 151 to 117 computations (22.5% saved)

regimes137.0ms (1%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

4 calls:

74.0ms	a
17.0ms	rand
17.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
17.0ms	(-.f64 a (/.f64 1 3))

Results

Error	Segments	Branch
0.2%	1	`a`
0.2%	1	`rand`
0.2%	1	`(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))`
0.2%	1	`(-.f64 a (/.f64 1 3))`

Compiler

Compiled 489 to 363 computations (25.8% saved)

regimes37.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	rand
13.0ms	a

Results

Error	Segments	Branch
0.21%	1	`a`
0.21%	1	`rand`

Compiler

Compiled 279 to 200 computations (28.3% saved)

regimes91.0ms (0.7%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	a
11.0ms	rand

Results

Error	Segments	Branch
0.23%	1	`a`
0.23%	1	`rand`

Compiler

Compiled 223 to 156 computations (30% saved)

regimes53.0ms (0.4%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	rand
11.0ms	a

Results

Error	Segments	Branch
0.24%	1	`a`
0.24%	1	`rand`

Compiler

Compiled 185 to 127 computations (31.4% saved)

regimes35.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	rand
10.0ms	a

Results

Error	Segments	Branch
1.82%	1	`a`
1.82%	1	`rand`

Compiler

Compiled 173 to 118 computations (31.8% saved)

regimes24.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	a
9.0ms	rand

Results

Error	Segments	Branch
1.82%	1	`a`
1.82%	1	`rand`

Compiler

Compiled 161 to 110 computations (31.7% saved)

regimes53.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	rand
9.0ms	a

Results

Error	Segments	Branch
1.84%	1	`a`
1.84%	1	`rand`

Compiler

Compiled 137 to 93 computations (32.1% saved)

regimes34.0ms (0.3%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	rand
8.0ms	a

Results

Error	Segments	Branch
3.61%	1	`a`
1.87%	3	`rand`

Compiler

Compiled 116 to 80 computations (31% saved)

bsearch27.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	6.490075605101576e-148	4.474043568042368e-143
22.0ms	-3.5120221448701917e+24	-2061531464154446.8

Results

24.0ms

176×

body

256

valid

Compiler

Compiled 236 to 188 computations (20.3% saved)

regimes106.0ms (0.8%)

Counts

15 → 3

Calls

Call 1

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

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:

68.0ms	rand
35.0ms	a

Results

Error	Segments	Branch
27.01%	4	`a`
7.13%	3	`rand`

Compiler

Compiled 106 to 73 computations (31.1% saved)

bsearch63.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.3368488486830391e+101	1.6171463156778024e+103
47.0ms	-7.185634132135828e+70	-1.3807335090840617e+63

Results

59.0ms

256×

body

256

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes47.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

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

27.0ms	a
18.0ms	rand

Results

Error	Segments	Branch
27.03%	4	`a`
7.22%	3	`rand`

Compiler

Compiled 74 to 50 computations (32.4% saved)

bsearch40.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.3368488486830391e+101	1.6171463156778024e+103
23.0ms	-7.185634132135828e+70	-1.3807335090840617e+63

Results

33.0ms

256×

body

256

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes156.0ms (1.2%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

137.0ms	a
16.0ms	rand

Results

Error	Segments	Branch
26.41%	5	`a`
8.44%	3	`rand`

Compiler

Compiled 66 to 44 computations (33.3% saved)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.3368488486830391e+101	1.6171463156778024e+103
21.0ms	-7.185634132135828e+70	-1.3807335090840617e+63

Results

34.0ms

256×

body

256

valid

Compiler

Compiled 267 to 215 computations (19.5% saved)

regimes69.0ms (0.5%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

54.0ms	a
13.0ms	rand

Results

Error	Segments	Branch
26.46%	5	`a`
8.52%	3	`rand`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch58.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	1.3368488486830391e+101	1.6171463156778024e+103
20.0ms	-7.185634132135828e+70	-1.3807335090840617e+63

Results

54.0ms

256×

body

256

valid

Compiler

Compiled 267 to 215 computations (19.5% saved)

regimes10.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(-.f64 a 1/3)

Calls

2 calls:

5.0ms	a
4.0ms	rand

Results

Error	Segments	Branch
32.55%	1	`a`
32.55%	1	`rand`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes7.0ms (0%)

Accuracy

Total -41.4b remaining (-188.9%)

Threshold costs -41.4b (-188.9%)

Counts

2 → 1

Calls

Call 1

Inputs
-1/3
a

Outputs
a

Calls

2 calls:

3.0ms	rand
3.0ms	a

Results

Error	Segments	Branch
34.29%	1	`a`
34.29%	1	`rand`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
26×	`+-commutative`
10×	`if-if-or-not`
8×	`sub-neg`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	531
1	147	531
2	150	531

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) -1/2) rand)))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
(-.f64 (+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
(if (<=.f64 rand -2100000000000000) (.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a))))) (if (<=.f64 rand 5623642243178995/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) (-.f64 a 1/3) (.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))))
(if (<=.f64 rand -64999999999999997818313430902900420587732714450632600824357610279927808) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) (if (<=.f64 rand 460000000000000026742018832746853010739216262176672010354009458177795796037961626186462471401498476544) (-.f64 a 1/3) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)))
(if (<=.f64 rand -5499999999999999979881150642894308486510544016643203359601177133056) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 135000000000000003118224745930453471782601869025020752083251341555665584050206349190433987411671252992) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -70000000000000000479713924109379883756045127224328986030057344332726272) (.f64 rand (sqrt.f64 (.f64 a 1/9))) (if (<=.f64 rand 160000000000000002544462577561586887493772937023124502236501240923965420354726096973015519773709041664) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (.f64 a 1/9)))))
(if (<=.f64 rand -359999999999999987798928575703303186458339108715018313518077601382400) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 135000000000000003118224745930453471782601869025020752083251341555665584050206349190433987411671252992) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(-.f64 a 1/3)
a
-1/3

Outputs
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) -1/2) rand)))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 a 9) -3) -1/2) 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 (+.f64 (.f64 a 9) -3)))))
(-.f64 (+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) a) 1/3)
(+.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) -1/3)
(+.f64 -1/3 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))) -1/3)
(+.f64 -1/3 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
(+.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 a)))) -1/3)
(+.f64 -1/3 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand -2100000000000000) (.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a))))) (if (<=.f64 rand 5623642243178995/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) (-.f64 a 1/3) (.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))))
(if (or (<=.f64 rand -2100000000000000) (not (<=.f64 rand 5623642243178995/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592))) (.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9))))) (+.f64 a -1/3))
(if (<=.f64 rand -64999999999999997818313430902900420587732714450632600824357610279927808) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) (if (<=.f64 rand 460000000000000026742018832746853010739216262176672010354009458177795796037961626186462471401498476544) (-.f64 a 1/3) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)))
(if (or (<=.f64 rand -64999999999999997818313430902900420587732714450632600824357610279927808) (not (<=.f64 rand 460000000000000026742018832746853010739216262176672010354009458177795796037961626186462471401498476544))) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (+.f64 a -1/3))
(if (<=.f64 rand -5499999999999999979881150642894308486510544016643203359601177133056) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 135000000000000003118224745930453471782601869025020752083251341555665584050206349190433987411671252992) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (or (<=.f64 rand -5499999999999999979881150642894308486510544016643203359601177133056) (not (<=.f64 rand 135000000000000003118224745930453471782601869025020752083251341555665584050206349190433987411671252992))) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(if (<=.f64 rand -70000000000000000479713924109379883756045127224328986030057344332726272) (.f64 rand (sqrt.f64 (.f64 a 1/9))) (if (<=.f64 rand 160000000000000002544462577561586887493772937023124502236501240923965420354726096973015519773709041664) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (.f64 a 1/9)))))
(if (or (<=.f64 rand -70000000000000000479713924109379883756045127224328986030057344332726272) (not (<=.f64 rand 160000000000000002544462577561586887493772937023124502236501240923965420354726096973015519773709041664))) (.f64 rand (sqrt.f64 (.f64 a 1/9))) (+.f64 a -1/3))
(if (<=.f64 rand -359999999999999987798928575703303186458339108715018313518077601382400) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 135000000000000003118224745930453471782601869025020752083251341555665584050206349190433987411671252992) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(if (or (<=.f64 rand -359999999999999987798928575703303186458339108715018313518077601382400) (not (<=.f64 rand 135000000000000003118224745930453471782601869025020752083251341555665584050206349190433987411671252992))) (.f64 1/3 (.f64 rand (sqrt.f64 a))) (+.f64 a -1/3))
(-.f64 a 1/3)
(+.f64 a -1/3)
a
-1/3

Compiler

Compiled 220 to 171 computations (22.3% saved)

soundness522.0ms (3.9%)

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

Compiler

Compiled 183 to 156 computations (14.8% saved)

end152.0ms (1.1%)

Compiler: Compiled 192 to 140 computations (27.1% saved)