Details

analyze59.0ms (0.4%)

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 (13.6%)

Results

1.6s	8256×	body	256	valid
100.0ms	564×	body	256	invalid
77.0ms	652×	body	256	infinite

Bogosity

preprocess84.0ms (0.6%)

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)

simplify165.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

5 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 54 computations (19.4% saved)

series12.0ms (0.1%)

Counts

4 → 42

Calls

18 calls:

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

rewrite172.0ms (1.3%)

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

simplify448.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	819	16933
1	2037	15987

Stop Event

1×	node limit

Counts

359 → 497

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 44 computations (22.8% saved)

series9.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

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

rewrite125.0ms (0.9%)

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

simplify188.0ms (1.4%)

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

eval493.0ms (3.7%)

Compiler: Compiled 23079 to 18330 computations (20.6% saved)

prune244.0ms (1.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	871	12	883
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	873	12	885

Error

Counts

885 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(/.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (/.f64 1 (+.f64 a -1/3)))
	36.1b	(/.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))))))
▶	0.1b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	20.9b	(-.f64 a 1/3)
	9.6b	(+.f64 (-.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (+.f64 a 1/3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))
▶	0.2b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
	0.2b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
	0.8b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
▶	48.1b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
▶	42.9b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
	42.9b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	21.6b	a

Compiler

Compiled 359 to 282 computations (21.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 34 computations (29.2% saved)

series7.0ms (0.1%)

Counts

4 → 15

Calls

18 calls:

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

rewrite83.0ms (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	58
1	211	58
2	2595	58

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

Outputs
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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)))))

simplify152.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1058×	`associate-*r/`
836×	`associate-*l/`
772×	`associate-/r/`
738×	`associate-r`
644×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	539	8372
1	1441	7434
2	5328	7202

Stop Event

1×	node limit

Counts

212 → 346

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

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 1/6 (/.f64 (sqrt.f64 -1/3) (.f64 rand a))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 (/.f64 1/6 (sqrt.f64 -1/3)) (*.f64 rand a)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (.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 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (/.f64 (.f64 1/8 (.f64 rand (*.f64 a a))) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (/.f64 (.f64 1/48 (.f64 rand (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1/3) 5)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (.f64 1/8 (/.f64 (.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (/.f64 (.f64 1/8 (.f64 rand (*.f64 a a))) (sqrt.f64 -1/3)))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 1/2 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (/.f64 1/2 (/.f64 (sqrt.f64 -1/3) (*.f64 rand a))))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) rand))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/2 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 -1/8 (.f64 rand (.f64 a a))) (pow.f64 (sqrt.f64 -1/3) 3))))
(fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (.f64 3/8 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (.f64 (/.f64 (.f64 3/8 (.f64 a a)) (sqrt.f64 -1/3)) rand)))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
(fma.f64 1/2 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (/.f64 (.f64 -1/8 (.f64 rand (.f64 a a))) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) 1/16 (.f64 3/8 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) 1/16 (.f64 (/.f64 (.f64 3/8 (.f64 a a)) (sqrt.f64 -1/3)) rand))))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (.f64 3/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3))))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (/.f64 (.f64 3/8 (.f64 a a)) (sqrt.f64 -1/3)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 3/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3)))))
(+.f64 (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 3/8 (.f64 a a)) (sqrt.f64 -1/3))))
-1/3
a
a
(+.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) -1)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(/.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) 1/3)
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 1/3 rand)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(/.f64 (.f64 (sqrt.f64 (+.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 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 (pow.f64 a 3) (fma.f64 a (+.f64 1/3 a) 1/9)) (/.f64 -1/27 (fma.f64 a (+.f64 1/3 a) 1/9)))
(/.f64 (+.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 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(/.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 1/3 a) a)) (/.f64 a (/.f64 (+.f64 1/3 a) a))) (.f64 (/.f64 1/9 (+.f64 1/3 a)) (/.f64 1/9 (+.f64 1/3 a)))) (+.f64 (/.f64 a (/.f64 (+.f64 1/3 a) a)) (/.f64 1/9 (+.f64 1/3 a))))
(/.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 (/.f64 a (+.f64 1/3 a)) (/.f64 (pow.f64 a 3) (+.f64 1/3 a))) (/.f64 (/.f64 -1/81 (+.f64 1/3 a)) (+.f64 1/3 a))) (fma.f64 (/.f64 a (+.f64 1/3 a)) a (/.f64 1/9 (+.f64 1/3 a))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 a 3) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (/.f64 (pow.f64 a 3) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a))))) (.f64 (/.f64 1/27 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (/.f64 1/27 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))) (+.f64 (/.f64 (pow.f64 a 3) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (/.f64 1/27 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a))))))
(/.f64 (+.f64 (.f64 (/.f64 (pow.f64 a 3) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (/.f64 (pow.f64 a 3) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a))))) (.f64 (/.f64 -1/27 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (/.f64 1/27 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))) (+.f64 (/.f64 (pow.f64 a 3) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (/.f64 1/27 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a))))))
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 a 6) (fma.f64 a (+.f64 1/3 a) 1/9)) (fma.f64 a (+.f64 1/3 a) 1/9)) (/.f64 (/.f64 1/729 (fma.f64 a (+.f64 1/3 a) 1/9)) (fma.f64 a (+.f64 1/3 a) 1/9))) (+.f64 (/.f64 (pow.f64 a 3) (fma.f64 a (+.f64 1/3 a) 1/9)) (/.f64 1/27 (fma.f64 a (+.f64 1/3 a) 1/9))))
(*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 a 3) (fma.f64 a (+.f64 1/3 a) 1/9)) (/.f64 1/27 (fma.f64 a (+.f64 1/3 a) 1/9))) (+.f64 (/.f64 (pow.f64 a 3) (fma.f64 a (+.f64 1/3 a) 1/9)) (/.f64 1/27 (fma.f64 a (+.f64 1/3 a) 1/9)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 3) 1) (+.f64 (.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (exp.f64 (log.f64 (+.f64 2/3 a)))) (+.f64 1 (.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 a 2/3) 3) -1) (fma.f64 (+.f64 a 2/3) (+.f64 a 2/3) (+.f64 1 (+.f64 a 2/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 a 2/3) 3)) (fma.f64 (+.f64 a 2/3) (+.f64 a 2/3) (+.f64 a 5/3)))
(/.f64 (-.f64 (pow.f64 (/.f64 a (/.f64 (+.f64 1/3 a) a)) 3) (pow.f64 (/.f64 1/9 (+.f64 1/3 a)) 3)) (+.f64 (.f64 (/.f64 a (/.f64 (+.f64 1/3 a) a)) (/.f64 a (/.f64 (+.f64 1/3 a) a))) (+.f64 (.f64 (/.f64 1/9 (+.f64 1/3 a)) (/.f64 1/9 (+.f64 1/3 a))) (*.f64 (/.f64 a (/.f64 (+.f64 1/3 a) a)) (/.f64 1/9 (+.f64 1/3 a))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 a (+.f64 1/3 a)) a) 3) (pow.f64 (/.f64 1/9 (+.f64 1/3 a)) 3)) (fma.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 (*.f64 (/.f64 a (+.f64 1/3 a)) a) (/.f64 1/9 (+.f64 1/3 a))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 1/3 a))) 3) (/.f64 -1/729 (pow.f64 (+.f64 1/3 a) 3))) (fma.f64 (.f64 a (/.f64 a (+.f64 1/3 a))) (.f64 a (/.f64 a (+.f64 1/3 a))) (.f64 (/.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 (pow.f64 (.f64 a (/.f64 a (+.f64 1/3 a))) 3) (/.f64 -1/729 (pow.f64 (+.f64 1/3 a) 3))) (fma.f64 (/.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 a (+.f64 1/3 a)) (/.f64 (pow.f64 a 3) (+.f64 1/3 a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a 3) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) 3) (pow.f64 (/.f64 1/27 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 a 3) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (/.f64 (pow.f64 a 3) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a))))) (+.f64 (.f64 (/.f64 1/27 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (/.f64 1/27 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a))))) (.f64 (/.f64 (pow.f64 a 3) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (/.f64 1/27 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a 3) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) 3) (pow.f64 (/.f64 1/27 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) 3)) (fma.f64 (/.f64 (pow.f64 a 3) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (/.f64 (pow.f64 a 3) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (.f64 (/.f64 1/27 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (+.f64 (/.f64 (pow.f64 a 3) (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))) (/.f64 1/27 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a 3) (fma.f64 a (+.f64 1/3 a) 1/9)) 3) (/.f64 -1/19683 (pow.f64 (fma.f64 a (+.f64 1/3 a) 1/9) 3))) (fma.f64 (/.f64 1/27 (fma.f64 a (+.f64 1/3 a) 1/9)) (+.f64 (/.f64 (pow.f64 a 3) (fma.f64 a (+.f64 1/3 a) 1/9)) (/.f64 1/27 (fma.f64 a (+.f64 1/3 a) 1/9))) (/.f64 (/.f64 (pow.f64 a 6) (fma.f64 a (+.f64 1/3 a) 1/9)) (fma.f64 a (+.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 (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 -1/3 (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(neg.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))))
(/.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (neg.f64 (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 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
(+.f64 -1/3 a)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a -1/3)
✓	0.0b	(sqrt.f64 (+.f64 a -1/3))
✓	0.3b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
✓	0.4b	(*.f64 1/3 rand)

Compiler

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts

4 → 32

Calls

15 calls:

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

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`*-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 1/3 rand)
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(sqrt.f64 (+.f64 a -1/3))
(+.f64 a -1/3)

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

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1424×	`times-frac`
766×	`associate-*r/`
754×	`associate-r`
628×	`associate-/r/`
618×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	468	6509
1	1161	5961
2	4577	5847

Stop Event

1×	node limit

Counts

213 → 299

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

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 a 1/3) rand)
✓	0.2b	(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
✓	0.3b	(/.f64 1 (-.f64 (*.f64 9 a) 3))
✓	9.1b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))

Compiler

Compiled 53 to 41 computations (22.6% saved)

series6.0ms (0%)

Counts

4 → 32

Calls

18 calls:

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

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 209

Calls

Call 1

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

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

simplify137.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

241 → 335

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 a -1/3))
✓	0.1b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
✓	0.2b	(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)
✓	0.3b	(/.f64 rand (sqrt.f64 (+.f64 a -1/3)))

Compiler

Compiled 52 to 39 computations (25% saved)

series6.0ms (0%)

Counts

3 → 50

Calls

18 calls:

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

rewrite160.0ms (1.2%)

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

Outputs

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#<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)))))))))

simplify150.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1148×	`associate-/r/`
904×	`associate-+r+`
886×	`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 → 333

Calls

Call 1

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

eval996.0ms (7.5%)

Compiler: Compiled 35913 to 27812 computations (22.6% saved)

prune638.0ms (4.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1552	8	1560
Fresh	3	4	7
Picked	0	1	1
Done	3	1	4
Total	1558	14	1572

Error

Counts

1572 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	45.7b	(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
▶	21.1b	(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
	0.2b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a -1/3)))) rand)) a) 1/3)
▶	0.8b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
✓	20.9b	(-.f64 a 1/3)
✓	0.2b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
▶	0.2b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
	0.8b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
	48.8b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
▶	43.5b	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
▶	42.9b	(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
	42.9b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	21.6b	a
	63.0b	-1/3

Compiler

Compiled 267 to 212 computations (20.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 37 computations (24.5% saved)

series3.0ms (0%)

Counts

2 → 34

Calls

12 calls:

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

rewrite140.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1714×	`associate-/r*`
1424×	`associate-/l*`
604×	`associate-/r/`
312×	`add-sqr-sqrt`
296×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	310	62
2	4236	62

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a 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simplify177.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1116×	`associate-+r+`
1090×	`associate-+l+`
1026×	`associate-/r/`
686×	`+-commutative`
566×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	500	11524
1	1341	11154
2	5077	11150

Stop Event

1×	node limit

Counts

202 → 274

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1548×	`add-sqr-sqrt`
1518×	`*-un-lft-identity`
1434×	`add-cube-cbrt`
1424×	`add-cbrt-cube`
1410×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	177	20
2	1957	20

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1238×	`unswap-sqr`
646×	`associate-*r/`
642×	`associate-/r*`
578×	`associate-+r+`
556×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	1418
1	367	1246
2	1406	1082
3	6245	1082

Stop Event

1×	node limit

Counts

78 → 98

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
	0.4b	(*.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	a	@	-inf	(.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))

rewrite50.0ms (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))))))))

simplify38.0ms (0.3%)

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))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

15 calls:

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

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`*-commutative`
700×	`unswap-sqr`
592×	`swap-sqr`
448×	`associate-*r/`
396×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	229	58
2	2748	58

Stop Event

1×	node limit

Counts

4 → 185

Calls

Call 1

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

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

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

976×	`associate-*r/`
712×	`associate-*l/`
700×	`associate-r`
676×	`associate-/r/`
538×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	7205
1	1225	6377
2	4552	6305

Stop Event

1×	node limit

Counts

221 → 308

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 15 computations (57.1% saved)

series4.0ms (0%)

Counts

4 → 29

Calls

24 calls:

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

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`associate-*r/`
914×	`associate-*l/`
788×	`distribute-rgt-in`
740×	`distribute-lft-in`
256×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	72
1	245	72
2	3276	72

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

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

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

simplify169.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1536×	`associate-+r+`
1008×	`+-commutative`
702×	`associate-r`
682×	`associate-l`
600×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	517	14271
1	1452	13399
2	6882	13399

Stop Event

1×	node limit

Counts

237 → 312

Calls

Call 1

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

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

eval772.0ms (5.8%)

Compiler: Compiled 37950 to 27244 computations (28.2% saved)

prune436.0ms (3.3%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1560	9	1569
Fresh	3	4	7
Picked	0	1	1
Done	3	3	6
Total	1566	17	1583

Error

Counts

1583 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	45.7b	(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
	45.8b	(/.f64 1 (/.f64 1 (.f64 (-.f64 1/9 (.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))
▶	21.8b	(/.f64 1 (/.f64 1 a))
▶	63.0b	(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 (+.f64 a -1/3))) 1))
✓	0.8b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
	22.9b	(-.f64 (+.f64 (.f64 1/3 (sqrt.f64 (.f64 a (*.f64 rand rand)))) a) 1/3)
✓	20.9b	(-.f64 a 1/3)
✓	0.2b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
▶	0.8b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
	48.8b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
✓	43.5b	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
	43.5b	(.f64 rand (.f64 1/3 (sqrt.f64 a)))
	42.8b	(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
▶	43.5b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
▶	59.4b	(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))
	21.6b	a
	63.0b	-1/3

Compiler

Compiled 295 to 231 computations (21.7% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 41 to 26 computations (36.6% saved)

series11.0ms (0.1%)

Counts

2 → 26

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
3.0ms	a	@	0	(/.f64 (/.f64 rand 3) (sqrt.f64 a))
1.0ms	rand	@	0	(/.f64 (/.f64 rand 3) (sqrt.f64 a))
1.0ms	a	@	-inf	(/.f64 (/.f64 rand 3) (sqrt.f64 a))
0.0ms	a	@	0	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`associate-/r*`
1420×	`associate-/l*`
504×	`associate-/r/`
312×	`add-sqr-sqrt`
296×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	310	50
2	4232	50

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

Outputs

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simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1718×	`associate-/r*`
838×	`associate-/r/`
630×	`associate-+r+`
566×	`associate-+l+`
548×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	9420
1	1121	9182
2	4058	9108

Stop Event

1×	node limit

Counts

192 → 255

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 a))

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`associate-r`
908×	`add-sqr-sqrt`
892×	`*-un-lft-identity`
842×	`pow1`
832×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	125	1
2	1227	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 a))

Outputs

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

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-*r/`
1178×	`associate-/r*`
952×	`associate-*l/`
916×	`associate-/l*`
850×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	273
1	241	231
2	805	223
3	3088	223

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 a -1/3)
	0.0b	(/.f64 1 (+.f64 a -1/3))
✓	0.0b	(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 (+.f64 a -1/3))) 1))
✓	6.0b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 a -1/3))) 1)

Compiler

Compiled 40 to 34 computations (15% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite184.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`*-commutative`
752×	`associate-/r*`
680×	`distribute-lft-in`
636×	`distribute-rgt-in`
544×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	56
1	234	20
2	3300	20

Stop Event

1×	node limit

Counts

2 → 284

Calls

Call 1

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

Outputs

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

simplify221.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1108×	`+-commutative`
722×	`*-commutative`
678×	`associate-r`
632×	`distribute-lft-in`
628×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	696	13612
1	2001	12838
2	7838	12838

Stop Event

1×	node limit

Counts

308 → 473

Calls

Call 1

Inputs
-3
(-.f64 (*.f64 -9 a) 3)
(-.f64 (+.f64 (.f64 -27 (pow.f64 a 2)) (.f64 -9 a)) 3)
(-.f64 (+.f64 (.f64 -27 (pow.f64 a 2)) (+.f64 (.f64 -9 a) (*.f64 -81 (pow.f64 a 3)))) 3)
(/.f64 1 a)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
(/.f64 1 a)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
-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 1 (+.f64 (/.f64 -1 (-.f64 1/3 a)) -1))
(+.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) -1)
(+.f64 (/.f64 -1 (-.f64 1/3 a)) 0)
(+.f64 0 (/.f64 -1 (-.f64 1/3 a)))
(+.f64 (+.f64 (/.f64 -1 (-.f64 1/3 a)) -1) 1)
(+.f64 -1 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))))
(+.f64 (.f64 (/.f64 1 (fma.f64 a a -1/9)) a) (.f64 (/.f64 1 (fma.f64 a a -1/9)) 1/3))
(+.f64 (.f64 (/.f64 1 (+.f64 -1/27 (pow.f64 a 3))) (.f64 a a)) (.f64 (/.f64 1 (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (.f64 a 1/3))))
(+.f64 (.f64 (/.f64 1 (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (.f64 a 1/3))) (.f64 (/.f64 1 (+.f64 -1/27 (pow.f64 a 3))) (.f64 a a)))
(+.f64 (.f64 a (/.f64 1 (fma.f64 a a -1/9))) (.f64 1/3 (/.f64 1 (fma.f64 a a -1/9))))
(+.f64 (.f64 (.f64 a a) (/.f64 1 (+.f64 -1/27 (pow.f64 a 3)))) (.f64 (+.f64 1/9 (.f64 a 1/3)) (/.f64 1 (+.f64 -1/27 (pow.f64 a 3)))))
(+.f64 (.f64 (+.f64 1/9 (.f64 a 1/3)) (/.f64 1 (+.f64 -1/27 (pow.f64 a 3)))) (.f64 (.f64 a a) (/.f64 1 (+.f64 -1/27 (pow.f64 a 3)))))
(+.f64 (neg.f64 (+.f64 -1 (/.f64 1 (-.f64 1/3 a)))) -1)
(*.f64 1 (/.f64 -1 (-.f64 1/3 a)))
(*.f64 (/.f64 -1 (-.f64 1/3 a)) 1)
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -2)) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -2)) (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 1/3 a)))))
(*.f64 (+.f64 a 1/3) (/.f64 1 (fma.f64 a a -1/9)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 2) -1) (/.f64 1 (+.f64 (/.f64 -1 (-.f64 1/3 a)) 2)))
(*.f64 -1 (/.f64 1 (-.f64 1/3 a)))
(.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3))) (/.f64 1 (+.f64 -1/27 (pow.f64 a 3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 2) (+.f64 (/.f64 -1 (-.f64 1/3 a)) 2))))
(*.f64 (/.f64 1 (-.f64 1/3 a)) -1)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/3 a))) (neg.f64 (sqrt.f64 (/.f64 1 (-.f64 1/3 a)))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 1/3 a))) (cbrt.f64 (/.f64 1 (-.f64 1/3 a)))) (neg.f64 (cbrt.f64 (/.f64 1 (-.f64 1/3 a)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(.f64 (/.f64 1 (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -2))) (/.f64 1 (cbrt.f64 (-.f64 1/3 a))))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 a -1/3) -1/2))) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 a -1/3) -1/2)) 1))
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(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (cbrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 1 (-.f64 1 (.f64 (+.f64 (/.f64 -1 (-.f64 1/3 a)) -1) (+.f64 (/.f64 -1 (-.f64 1/3 a)) -1)))) (+.f64 (-.f64 1 (/.f64 -1 (-.f64 1/3 a))) 1))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1/3 a)) -1) 3))) (+.f64 1 (.f64 (+.f64 (/.f64 -1 (-.f64 1/3 a)) -1) (-.f64 (+.f64 (/.f64 -1 (-.f64 1/3 a)) -1) 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 2) (+.f64 (/.f64 -1 (-.f64 1/3 a)) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 -1)) (sqrt.f64 (-.f64 1/3 a)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 2) -1))) (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 1/3 a)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) -1) (cbrt.f64 (-.f64 1/3 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 2) (+.f64 (/.f64 -1 (-.f64 1/3 a)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 2) -1))) (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1/3 a)) 2)))
(.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 (neg.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 2)) 1)) (+.f64 (/.f64 -1 (-.f64 1/3 a)) 2))
(*.f64 (/.f64 -1 (+.f64 (neg.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 3)) 1)) (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 2) (+.f64 (/.f64 -1 (-.f64 1/3 a)) 2)))
(.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (+.f64 1/9 (.f64 a 1/3)) (+.f64 1/9 (.f64 a 1/3))))) (+.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 (.f64 (.f64 a a) (.f64 a a)) (.f64 (+.f64 1/9 (.f64 a 1/3)) (-.f64 (+.f64 1/9 (.f64 a 1/3)) (.f64 a a)))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -2))) -1) (cbrt.f64 (-.f64 1/3 a)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 2) (+.f64 (/.f64 -1 (-.f64 1/3 a)) 2))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 2) -1))) (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1/3 a)) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 2) (+.f64 (/.f64 -1 (-.f64 1/3 a)) 2)) (-.f64 (.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 3) (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 3)) 1)) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 3)))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 2) (+.f64 (/.f64 -1 (-.f64 1/3 a)) 2)) (-.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 3) 3) 1)) (+.f64 (.f64 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 3) (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 -1 (-.f64 1/3 a))) 3))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1/3 a))) (sqrt.f64 (-.f64 1/3 a)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (-.f64 1/3 a)) (cbrt.f64 (-.f64 1/3 a)))) (cbrt.f64 (-.f64 1/3 a)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (cbrt.f64 (+.f64 a -1/3)))
(pow.f64 (+.f64 a -1/3) 1)
(pow.f64 (/.f64 -1 (-.f64 1/3 a)) -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)
(neg.f64 (-.f64 1/3 a))
(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 (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 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) -1/3)

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 7 computations (58.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 a 1/9)
✓	8.1b	(.f64 (.f64 rand rand) (*.f64 a 1/9))
✓	25.3b	(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))

Compiler

Compiled 26 to 13 computations (50% saved)

series4.0ms (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	rand	@	0	(.f64 (.f64 rand rand) (*.f64 a 1/9))
1.0ms	a	@	-inf	(sqrt.f64 (.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))

rewrite63.0ms (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)))))))

simplify61.0ms (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)

eval626.0ms (4.7%)

Compiler: Compiled 26683 to 20883 computations (21.7% saved)

prune1.2s (9%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	1241	5	1246
Fresh	2	6	8
Picked	0	1	1
Done	2	6	8
Total	1245	18	1263

Error

Counts

1263 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	45.7b	(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
	45.8b	(/.f64 1 (/.f64 1 (.f64 (-.f64 1/9 (.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))
✓	21.8b	(/.f64 1 (/.f64 1 a))
	63.5b	(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 a)) 1))
	56.5b	(/.f64 1 (.f64 (/.f64 (+.f64 a 1/3) (-.f64 (.f64 (.f64 a a) (.f64 a a)) 1/81)) (+.f64 1/9 (*.f64 a a))))
	45.8b	(/.f64 1 (.f64 (/.f64 1 (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a)))
✓	0.8b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
	22.9b	(-.f64 (+.f64 (.f64 1/3 (sqrt.f64 (.f64 a (*.f64 rand rand)))) a) 1/3)
✓	20.9b	(-.f64 a 1/3)
✓	0.2b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
✓	43.5b	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
	42.8b	(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
	43.5b	(.f64 rand (sqrt.f64 (.f64 a 1/9)))
	1.5b	(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
✓	43.5b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
✓	59.4b	(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))
	21.6b	a
	63.0b	-1/3

Compiler

Compiled 193 to 147 computations (23.8% saved)

regimes139.0ms (1.1%)

Counts

37 → 1

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 a)) 1))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 (+.f64 a -1/3))) 1))
(/.f64 1 (.f64 (/.f64 1 (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a)))
(/.f64 1 (/.f64 1 (.f64 (-.f64 1/9 (.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))
(/.f64 1 (.f64 (/.f64 (+.f64 a 1/3) (-.f64 (.f64 (.f64 a a) (.f64 a a)) 1/81)) (+.f64 1/9 (*.f64 a a))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(-.f64 (+.f64 (.f64 1/3 (sqrt.f64 (.f64 a (*.f64 rand rand)))) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(*.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 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a -1/3)))) rand)) a) 1/3)
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (/.f64 1 (+.f64 a -1/3)))
(+.f64 (-.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (+.f64 a 1/3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 (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))))))

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

Calls

4 calls:

73.0ms	rand
18.0ms	a
18.0ms	(-.f64 a (/.f64 1 3))
18.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))

Results

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

Compiler

Compiled 453 to 332 computations (26.7% saved)

regimes61.0ms (0.5%)

Counts

28 → 1

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 a)) 1))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 (+.f64 a -1/3))) 1))
(/.f64 1 (.f64 (/.f64 1 (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a)))
(/.f64 1 (/.f64 1 (.f64 (-.f64 1/9 (.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))
(/.f64 1 (.f64 (/.f64 (+.f64 a 1/3) (-.f64 (.f64 (.f64 a a) (.f64 a a)) 1/81)) (+.f64 1/9 (*.f64 a a))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(-.f64 (+.f64 (.f64 1/3 (sqrt.f64 (.f64 a (*.f64 rand rand)))) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))

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

Calls

2 calls:

14.0ms	rand
14.0ms	a

Results

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

Compiler

Compiled 259 to 179 computations (30.9% saved)

regimes71.0ms (0.5%)

Counts

26 → 1

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 a)) 1))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 (+.f64 a -1/3))) 1))
(/.f64 1 (.f64 (/.f64 1 (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a)))
(/.f64 1 (/.f64 1 (.f64 (-.f64 1/9 (.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))
(/.f64 1 (.f64 (/.f64 (+.f64 a 1/3) (-.f64 (.f64 (.f64 a a) (.f64 a a)) 1/81)) (+.f64 1/9 (*.f64 a a))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(-.f64 (+.f64 (.f64 1/3 (sqrt.f64 (.f64 a (*.f64 rand rand)))) a) 1/3)

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

Calls

2 calls:

42.0ms	a
22.0ms	rand

Results

Error	Segments	Branch
0.8b	1	`a`
0.8b	1	`rand`

Compiler

Compiled 233 to 159 computations (31.8% saved)

regimes30.0ms (0.2%)

Counts

23 → 1

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 a)) 1))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 (+.f64 a -1/3))) 1))
(/.f64 1 (.f64 (/.f64 1 (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a)))
(/.f64 1 (/.f64 1 (.f64 (-.f64 1/9 (.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))
(/.f64 1 (.f64 (/.f64 (+.f64 a 1/3) (-.f64 (.f64 (.f64 a a) (.f64 a a)) 1/81)) (+.f64 1/9 (*.f64 a a))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)

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

Calls

2 calls:

12.0ms	rand
12.0ms	a

Results

Error	Segments	Branch
0.8b	1	`a`
0.8b	1	`rand`

Compiler

Compiled 197 to 135 computations (31.5% saved)

regimes28.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 a)) 1))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 (+.f64 a -1/3))) 1))
(/.f64 1 (.f64 (/.f64 1 (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a)))
(/.f64 1 (/.f64 1 (.f64 (-.f64 1/9 (.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))
(/.f64 1 (.f64 (/.f64 (+.f64 a 1/3) (-.f64 (.f64 (.f64 a a) (.f64 a a)) 1/81)) (+.f64 1/9 (*.f64 a a))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))

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

Calls

2 calls:

11.0ms	rand
11.0ms	a

Results

Error	Segments	Branch
1.5b	1	`a`
1.5b	1	`rand`

Compiler

Compiled 187 to 130 computations (30.5% saved)

regimes80.0ms (0.6%)

Counts

20 → 3

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 a)) 1))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 (+.f64 a -1/3))) 1))
(/.f64 1 (.f64 (/.f64 1 (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a)))
(/.f64 1 (/.f64 1 (.f64 (-.f64 1/9 (.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))
(/.f64 1 (.f64 (/.f64 (+.f64 a 1/3) (-.f64 (.f64 (.f64 a a) (.f64 a a)) 1/81)) (+.f64 1/9 (*.f64 a a))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 a 1/9)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))

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

Calls

2 calls:

38.0ms	rand
37.0ms	a

Results

Error	Segments	Branch
17.0b	4	`a`
6.0b	3	`rand`

Compiler

Compiled 167 to 117 computations (29.9% saved)

bsearch79.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	2.780690878125583e+30	3.9897475512543696e+31
16.0ms	-1.176267361319825e+105	-2.722960936038252e+103

Results

76.0ms

208×

body

256

valid

Compiler

Compiled 248 to 205 computations (17.3% saved)

regimes175.0ms (1.3%)

Counts

17 → 3

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 a)) 1))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 (+.f64 a -1/3))) 1))
(/.f64 1 (.f64 (/.f64 1 (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a)))
(/.f64 1 (/.f64 1 (.f64 (-.f64 1/9 (.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))
(/.f64 1 (.f64 (/.f64 (+.f64 a 1/3) (-.f64 (.f64 (.f64 a a) (.f64 a a)) 1/81)) (+.f64 1/9 (*.f64 a a))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(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:

63.0ms	a
41.0ms	rand

Results

Error	Segments	Branch
17.0b	4	`a`
6.0b	3	`rand`

Compiler

Compiled 143 to 99 computations (30.8% saved)

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	2.780690878125583e+30	3.9897475512543696e+31
17.0ms	-1.176267361319825e+105	-2.722960936038252e+103

Results

28.0ms

208×

body

256

valid

Compiler

Compiled 248 to 205 computations (17.3% saved)

regimes103.0ms (0.8%)

Counts

16 → 3

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 a)) 1))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 (+.f64 a -1/3))) 1))
(/.f64 1 (.f64 (/.f64 1 (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a)))
(/.f64 1 (/.f64 1 (.f64 (-.f64 1/9 (.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))
(/.f64 1 (.f64 (/.f64 (+.f64 a 1/3) (-.f64 (.f64 (.f64 a a) (.f64 a a)) 1/81)) (+.f64 1/9 (*.f64 a a))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (sqrt.f64 (.f64 a 1/9)))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(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:

67.0ms	rand
32.0ms	a

Results

Error	Segments	Branch
17.7b	4	`a`
6.6b	3	`rand`

Compiler

Compiled 135 to 93 computations (31.1% saved)

bsearch33.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	2.780690878125583e+30	3.9897475512543696e+31
16.0ms	-1.176267361319825e+105	-2.722960936038252e+103

Results

30.0ms

208×

body

256

valid

Compiler

Compiled 222 to 179 computations (19.4% saved)

regimes109.0ms (0.8%)

Counts

12 → 3

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 a)) 1))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 (+.f64 a -1/3))) 1))
(/.f64 1 (.f64 (/.f64 1 (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a)))
(/.f64 1 (/.f64 1 (.f64 (-.f64 1/9 (.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))
(/.f64 1 (.f64 (/.f64 (+.f64 a 1/3) (-.f64 (.f64 (.f64 a a) (.f64 a a)) 1/81)) (+.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:

79.0ms	rand
27.0ms	a

Results

Error	Segments	Branch
17.7b	4	`a`
6.6b	3	`rand`

Compiler

Compiled 109 to 78 computations (28.4% saved)

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	2.780690878125583e+30	3.9897475512543696e+31
16.0ms	-1.176267361319825e+105	-2.722960936038252e+103

Results

27.0ms

208×

body

256

valid

Compiler

Compiled 222 to 179 computations (19.4% saved)

regimes47.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 a)) 1))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 (+.f64 a -1/3))) 1))
(/.f64 1 (.f64 (/.f64 1 (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a)))
(/.f64 1 (/.f64 1 (.f64 (-.f64 1/9 (.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))
(/.f64 1 (.f64 (/.f64 (+.f64 a 1/3) (-.f64 (.f64 (.f64 a a) (.f64 a a)) 1/81)) (+.f64 1/9 (*.f64 a a))))

Outputs
(-.f64 a 1/3)

Calls

2 calls:

37.0ms	rand
7.0ms	a

Results

Error	Segments	Branch
20.9b	1	`a`
20.9b	1	`rand`

Compiler

Compiled 103 to 74 computations (28.2% saved)

regimes10.0ms (0.1%)

Accuracy

Total -41.8b remaining (-193.3%)

Threshold costs -41.8b (-193.3%)

Counts

2 → 1

Calls

Call 1

Inputs
-1/3
a

Outputs
a

Calls

2 calls:

5.0ms	rand
3.0ms	a

Results

Error	Segments	Branch
21.6b	1	`a`
21.6b	1	`rand`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative`
20×	`+-commutative`
8×	`if-if-or-not`
6×	`sub-neg`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	386
1	99	386
2	101	386

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(if (<=.f64 rand -28000000000000000849356080656229352062658340598338720473008339684538968982454048195969807283082449911808) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (if (<=.f64 rand 38999999999999999931075438575616) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(if (<=.f64 rand -28500000000000001646031096454755313879377915196884660639314582717595006549298405603005620575689940926464) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 38999999999999999931075438575616) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -28000000000000000849356080656229352062658340598338720473008339684538968982454048195969807283082449911808) (.f64 rand (sqrt.f64 (.f64 a 1/9))) (if (<=.f64 rand 38999999999999999931075438575616) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (.f64 a 1/9)))))
(if (<=.f64 rand -28000000000000000849356080656229352062658340598338720473008339684538968982454048195969807283082449911808) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 38999999999999999931075438575616) (-.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 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
(.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))) (+.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 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)))))
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(if (<=.f64 rand -28000000000000000849356080656229352062658340598338720473008339684538968982454048195969807283082449911808) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (if (<=.f64 rand 38999999999999999931075438575616) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(if (or (<=.f64 rand -28000000000000000849356080656229352062658340598338720473008339684538968982454048195969807283082449911808) (not (<=.f64 rand 38999999999999999931075438575616))) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (+.f64 a -1/3))
(if (<=.f64 rand -28500000000000001646031096454755313879377915196884660639314582717595006549298405603005620575689940926464) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 38999999999999999931075438575616) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (or (<=.f64 rand -28500000000000001646031096454755313879377915196884660639314582717595006549298405603005620575689940926464) (not (<=.f64 rand 38999999999999999931075438575616))) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(if (<=.f64 rand -28000000000000000849356080656229352062658340598338720473008339684538968982454048195969807283082449911808) (.f64 rand (sqrt.f64 (.f64 a 1/9))) (if (<=.f64 rand 38999999999999999931075438575616) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (.f64 a 1/9)))))
(if (or (<=.f64 rand -28000000000000000849356080656229352062658340598338720473008339684538968982454048195969807283082449911808) (not (<=.f64 rand 38999999999999999931075438575616))) (.f64 rand (sqrt.f64 (.f64 a 1/9))) (+.f64 a -1/3))
(if (<=.f64 rand -28000000000000000849356080656229352062658340598338720473008339684538968982454048195969807283082449911808) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 38999999999999999931075438575616) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(if (or (<=.f64 rand -28000000000000000849356080656229352062658340598338720473008339684538968982454048195969807283082449911808) (not (<=.f64 rand 38999999999999999931075438575616))) (.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 163 to 126 computations (22.7% saved)

soundness509.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 315 to 264 computations (16.2% saved)

end152.0ms (1.1%)

Compiler: Compiled 141 to 101 computations (28.4% saved)