Details

analyze81.0ms (0.7%)

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)

sample1.7s (14.6%)

Results

1.4s	8256×	body	256	valid
155.0ms	554×	body	256	invalid
71.0ms	571×	body	256	infinite

Bogosity

preprocess85.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 24 to 21 computations (12.5% saved)

simplify183.0ms (1.6%)

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)

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 54 computations (19.4% saved)

series13.0ms (0.1%)

Counts

4 → 42

Calls

18 calls:

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

rewrite163.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 317

Calls

Call 1

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

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

simplify189.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	819	16933
1	2038	15987

Stop Event

1×	node limit

Counts

359 → 502

Calls

Call 1

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

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

localize23.0ms (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)

series11.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
1.0ms	rand	@	0	(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))
1.0ms	a	@	-inf	(/.f64 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)))

rewrite119.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 247

Calls

Call 1

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

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

simplify168.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

297 → 386

Calls

Call 1

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

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

eval600.0ms (5.2%)

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

prune285.0ms (2.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	879	9	888
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	880	10	890

Error

Counts

890 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.9b	(/.f64 (-.f64 1 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (/.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (+.f64 a -1/3)))
▶	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	19.8b	(-.f64 a 1/3)
▶	0.1b	(+.f64 (+.f64 -1/3 (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) a)
	0.1b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
	0.5b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
▶	44.1b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
	44.3b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	21.0b	a

Compiler

Compiled 249 to 197 computations (20.9% saved)

localize85.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
✓	0.2b	(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)
✓	0.4b	(/.f64 1/9 (+.f64 a -1/3))
✓	8.5b	(.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))

Compiler

Compiled 70 to 53 computations (24.3% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

18 calls:

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

rewrite104.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	88
1	258	88
2	3234	88

Stop Event

1×	node limit

Counts

4 → 235

Calls

Call 1

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

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

simplify176.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1146×	`associate-/l*`
794×	`associate-r`
764×	`associate-l`
556×	`*-commutative`
506×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	637	10661
1	1570	10509
2	6453	10433

Stop Event

1×	node limit

Counts

283 → 402

Calls

Call 1

Inputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (.f64 -1 a)) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (+.f64 (.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3)))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(+.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) a) (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1/3))
(+.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1/3) (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) a))
(+.f64 (/.f64 (.f64 a (.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))) (.f64 -1/3 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(+.f64 (.f64 -1/3 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 (.f64 a (.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (.f64 1 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) a)) (.f64 1 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1/3)))
(+.f64 (.f64 1 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1/3)) (.f64 1 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) a)))
(+.f64 (.f64 1 (/.f64 (.f64 a (.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 1 (.f64 -1/3 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))
(+.f64 (.f64 1 (.f64 -1/3 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (.f64 1 (/.f64 (.f64 a (.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) a) 1) (.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1/3) 1))
(+.f64 (.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1/3) 1) (.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) a) 1))
(+.f64 (.f64 (/.f64 (.f64 a (.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))) 1) (.f64 (.f64 -1/3 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 1))
(+.f64 (.f64 (.f64 -1/3 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 1) (.f64 (/.f64 (.f64 a (.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))) 1)
(/.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (+.f64 -1/27 (pow.f64 a 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (+.f64 a 1/3))
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (.f64 (+.f64 a -1/3) (.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (.f64 (+.f64 a -1/3) (.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (.f64 rand (.f64 (+.f64 a -1/3) 1/3)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (.f64 rand (/.f64 (.f64 (fma.f64 a a -1/9) 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a 1/3))
(/.f64 (.f64 rand (/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) 1/3) (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (.f64 rand (.f64 (fma.f64 a a -1/9) 1/3)) (*.f64 (+.f64 a 1/3) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 rand (.f64 (+.f64 -1/27 (pow.f64 a 3)) 1/3)) (.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (neg.f64 (+.f64 -1/27 (pow.f64 a 3)))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))
(/.f64 (.f64 1 (.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (.f64 1 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (+.f64 -1/27 (pow.f64 a 3)))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))
(/.f64 (.f64 1 (.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) (+.f64 a 1/3))
(/.f64 (.f64 1 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))
(/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) -1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
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(exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(exp.f64 (.f64 (log.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 1))
(log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 1 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4))
(*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 1/3)
(*.f64 (pow.f64 1/9 1/2) (pow.f64 (/.f64 1 (+.f64 a -1/3)) 1/2))
(*.f64 (pow.f64 1 1/2) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2))) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1/2))
(*.f64 (/.f64 1/3 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))
(/.f64 -1/3 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 (sqrt.f64 -1/9) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 1 (sqrt.f64 -1/9)) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) (sqrt.f64 1/3)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1) (cbrt.f64 (.f64 (+.f64 a -1/3) 9)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 1/9)) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 -1/9)) (cbrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (pow.f64 1 1/2) -1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
(/.f64 (*.f64 (pow.f64 1 1/2) 1/3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 -1/9)) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 -1/9) 1) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (cbrt.f64 1/3) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (cbrt.f64 1/9) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (cbrt.f64 -1/9) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (-.f64 1/3 a)))
(/.f64 (/.f64 1/3 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 1/3 (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 1/3 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/2)
(pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(pow.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)
(pow.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3/2) 1/3)
(fabs.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3/2))
(expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 a -1/3))) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))

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 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 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.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 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (.f64 1/8 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/3))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(fma.f64 -1 a -1/3)
(-.f64 -1/3 a)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (.f64 -1 a)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 a a) (neg.f64 a)) -1/3)
(fma.f64 (*.f64 a a) -3 (-.f64 -1/3 a))
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (+.f64 (.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(+.f64 (fma.f64 -3 (*.f64 a a) (fma.f64 -9 (pow.f64 a 3) (neg.f64 a))) -1/3)
(+.f64 -1/3 (fma.f64 (*.f64 a a) -3 (fma.f64 (pow.f64 a 3) -9 (neg.f64 a))))
(+.f64 (-.f64 -1/3 a) (.f64 (.f64 a a) (+.f64 (*.f64 a -9) -3)))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/243 (pow.f64 a 4)))))
(+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4)))))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/243 (pow.f64 a 4)))))
(+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4)))))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(.f64 (.f64 1/3 rand) (sqrt.f64 -3))
(.f64 (sqrt.f64 -3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) (/.f64 -3/2 (/.f64 (sqrt.f64 -3) (.f64 rand a))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 rand (.f64 a a)))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (.f64 rand (.f64 a a)) (/.f64 (sqrt.f64 -3) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (/.f64 -3/2 (/.f64 (sqrt.f64 -3) (.f64 rand 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 (.f64 9/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (pow.f64 (sqrt.f64 -3) 2))) (/.f64 (sqrt.f64 -3) (.f64 rand (pow.f64 a 3)))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 rand (.f64 a a))))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) (.f64 rand (pow.f64 a 3)))) (fma.f64 -1/6 (/.f64 (.f64 rand (.f64 a a)) (/.f64 (sqrt.f64 -3) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (/.f64 -3/2 (/.f64 (sqrt.f64 -3) (*.f64 rand a))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3)))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (*.f64 1/3 (sqrt.f64 -3)))
(fma.f64 1/3 (sqrt.f64 -3) (/.f64 (*.f64 a -3/2) (sqrt.f64 -3)))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 a a))) (.f64 1/3 (sqrt.f64 -3))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(fma.f64 -1/6 (/.f64 (+.f64 81 (/.f64 (.f64 9/2 (+.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)))))
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(/.f64 (.f64 (.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))) (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 (/.f64 (sqrt.f64 (+.f64 1/3 a)) (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
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(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 1/3 a))))) (/.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 -3 (.f64 9 a)))))
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(/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (/.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
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(/.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (.f64 9 a)))) (/.f64 (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))))
(/.f64 (.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))) (/.f64 (fma.f64 -1 a -1/3) (neg.f64 (fma.f64 a a -1/9))))
(/.f64 (-.f64 1/9 (.f64 a a)) (.f64 (/.f64 (-.f64 -1/3 a) rand) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (-.f64 1/9 (.f64 a a)) (.f64 (sqrt.f64 (+.f64 -3 (*.f64 9 a))) (/.f64 (-.f64 -1/3 a) rand)))
(/.f64 (.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))) (/.f64 (neg.f64 (fma.f64 a a (-.f64 1/9 (.f64 -1/3 a)))) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))))
(.f64 (/.f64 (-.f64 1/27 (pow.f64 a 3)) (neg.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a))))) (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (.f64 (sqrt.f64 (+.f64 -3 (.f64 9 a))) (/.f64 (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a))) rand)))
(/.f64 (.f64 (-.f64 1/9 (.f64 a a)) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (-.f64 -1/3 a))
(/.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))) (/.f64 (fma.f64 -1 a -1/3) (neg.f64 (fma.f64 a a -1/9))))
(/.f64 (-.f64 1/9 (.f64 a a)) (.f64 (/.f64 (-.f64 -1/3 a) rand) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (-.f64 1/9 (.f64 a a)) (.f64 (sqrt.f64 (+.f64 -3 (*.f64 9 a))) (/.f64 (-.f64 -1/3 a) rand)))
(/.f64 (.f64 -1/3 (.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (+.f64 -1/3 a))))
(.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (.f64 rand (+.f64 -1/3 a)))
(/.f64 (.f64 1 (.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))
(/.f64 (.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -3 (.f64 9 a))))
(/.f64 (.f64 1 (.f64 (+.f64 a -1/3) rand)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (+.f64 -1/3 a))))
(.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (.f64 rand (+.f64 -1/3 a)))
(/.f64 (.f64 1/3 (.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (+.f64 -1/3 a))))
(.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (.f64 rand (+.f64 -1/3 a)))
(/.f64 (.f64 (sqrt.f64 -1/9) (.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (sqrt.f64 -1/9) (/.f64 (sqrt.f64 (-.f64 1/3 a)) (*.f64 rand (+.f64 -1/3 a))))
(.f64 (/.f64 (.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (-.f64 1/3 a))) (sqrt.f64 -1/9))
(/.f64 (.f64 (.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (+.f64 -1/3 a))))
(.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (.f64 rand (+.f64 -1/3 a)))
(/.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (+.f64 -1/3 a))))
(.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (.f64 rand (+.f64 -1/3 a)))
(/.f64 (.f64 (.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (.f64 (/.f64 (+.f64 1/3 a) rand) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))
(/.f64 (.f64 rand (fma.f64 a a -1/9)) (.f64 (+.f64 1/3 a) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (+.f64 -1/27 (pow.f64 a 3))) 1) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (.f64 -1/3 a)))) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (.f64 (.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 1) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (.f64 (/.f64 (+.f64 1/3 a) rand) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))
(/.f64 (.f64 rand (fma.f64 a a -1/9)) (.f64 (+.f64 1/3 a) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 1) (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (.f64 -1/3 a)))) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))) (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 (/.f64 (sqrt.f64 (+.f64 1/3 a)) (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
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(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 1/3 a))))) (/.f64 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 -3 (.f64 9 a)))))
(/.f64 (.f64 (.f64 (+.f64 a -1/3) 1/3) rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (+.f64 -1/3 a))))
(.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (.f64 rand (+.f64 -1/3 a)))
(/.f64 (.f64 (/.f64 (.f64 (fma.f64 a a -1/9) 1/3) (sqrt.f64 (+.f64 a -1/3))) rand) (+.f64 a 1/3))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (/.f64 (+.f64 1/3 a) rand))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (.f64 (/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) 1/3) (sqrt.f64 (+.f64 a -1/3))) rand) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a))) rand))
(.f64 (.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (sqrt.f64 (+.f64 -1/3 a))) 1/3) (/.f64 rand (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(.f64 (.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (sqrt.f64 (+.f64 -1/3 a))) 1/3) (/.f64 rand (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (.f64 (.f64 (fma.f64 a a -1/9) 1/3) rand) (*.f64 (+.f64 a 1/3) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (/.f64 (+.f64 1/3 a) rand))
(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) 1/3) rand) (.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a))) rand))
(.f64 (.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (sqrt.f64 (+.f64 -1/3 a))) 1/3) (/.f64 rand (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(.f64 (.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (sqrt.f64 (+.f64 -1/3 a))) 1/3) (/.f64 rand (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (.f64 (/.f64 (+.f64 1/3 a) rand) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))
(/.f64 (.f64 rand (fma.f64 a a -1/9)) (.f64 (+.f64 1/3 a) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (.f64 (/.f64 (+.f64 1/3 a) rand) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))
(/.f64 (.f64 rand (fma.f64 a a -1/9)) (.f64 (+.f64 1/3 a) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (.f64 (/.f64 (+.f64 1/3 a) rand) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))
(/.f64 (.f64 rand (fma.f64 a a -1/9)) (.f64 (+.f64 1/3 a) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (+.f64 -1/27 (pow.f64 a 3))) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (.f64 -1/3 a)))) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (.f64 -1/3 a)))) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (+.f64 -1/27 (pow.f64 a 3))) (.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (.f64 a -1/3)))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (.f64 -1/3 a)))) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (/.f64 (.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 1) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (.f64 (/.f64 (+.f64 1/3 a) rand) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))
(/.f64 (.f64 rand (fma.f64 a a -1/9)) (.f64 (+.f64 1/3 a) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (/.f64 (.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (.f64 (/.f64 (+.f64 1/3 a) rand) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))
(/.f64 (.f64 rand (fma.f64 a a -1/9)) (.f64 (+.f64 1/3 a) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (/.f64 (.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (.f64 (/.f64 (+.f64 1/3 a) rand) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))
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(/.f64 1/9 (+.f64 -1/3 a))
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(/.f64 (*.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) (sqrt.f64 1/3)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (pow.f64 (/.f64 1/9 (+.f64 -1/3 a)) 1/4) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 1/3)))
(*.f64 (/.f64 (sqrt.f64 1/3) (sqrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (pow.f64 (/.f64 1/9 (+.f64 -1/3 a)) 1/4))
(/.f64 (.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1) (cbrt.f64 (.f64 (+.f64 a -1/3) 9)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (+.f64 -3 (*.f64 9 a))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 1/9)) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 1/9)))
(*.f64 (/.f64 (cbrt.f64 1/9) (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 -1/9)) (cbrt.f64 (-.f64 1/3 a)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 (cbrt.f64 (-.f64 1/3 a)) (cbrt.f64 -1/9)))
(*.f64 (/.f64 (cbrt.f64 -1/9) (cbrt.f64 (-.f64 1/3 a))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (cbrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 1/3)))
(*.f64 (/.f64 (cbrt.f64 1/3) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))
(/.f64 (*.f64 (pow.f64 1 1/2) -1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (pow.f64 1 1/2) 1/3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 -1/9)) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (sqrt.f64 -1/9) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 -1/9) 1) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (sqrt.f64 -1/9) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (pow.f64 (/.f64 1/9 (+.f64 -1/3 a)) 1/4) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 1/3)))
(*.f64 (/.f64 (sqrt.f64 1/3) (sqrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (pow.f64 (/.f64 1/9 (+.f64 -1/3 a)) 1/4))
(/.f64 (*.f64 (cbrt.f64 1/3) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (cbrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 1/3)))
(*.f64 (/.f64 (cbrt.f64 1/3) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))
(/.f64 (*.f64 (cbrt.f64 1/9) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 1/9)))
(*.f64 (/.f64 (cbrt.f64 1/9) (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 -1/9) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (-.f64 1/3 a)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 (cbrt.f64 (-.f64 1/3 a)) (cbrt.f64 -1/9)))
(*.f64 (/.f64 (cbrt.f64 -1/9) (cbrt.f64 (-.f64 1/3 a))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 1/3 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a))))
(/.f64 1/3 (*.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 1/3 (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (/.f64 1/3 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))))
(/.f64 1/3 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a)))))
(pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/2)
(sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))
(pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) 2)
(sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))
(pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 -1/3 a)) 3/2))
(fabs.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 -1/3 a)) 3/2))
(expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 a -1/3))) 1/2))
(sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))

localize3.0ms (0%)

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

localize38.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series3.0ms (0%)

Counts

3 → 20

Calls

12 calls:

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

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Outputs

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

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

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

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

103 → 161

Calls

Call 1

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

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

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 a 1/3))
✓	0.0b	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
✓	0.2b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
✓	0.6b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 48 to 34 computations (29.2% saved)

series4.0ms (0%)

Counts

4 → 27

Calls

21 calls:

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

rewrite144.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (.f64 rand 1/3)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 rand 1/3)) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 rand rand) (.f64 (+.f64 a -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))))
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simplify129.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

182 → 284

Calls

Call 1

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

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

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)
	0.4b	(/.f64 1/9 (+.f64 a -1/3))
✓	4.4b	(.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))
✓	5.0b	(/.f64 (-.f64 1 (.f64 (.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (/.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (+.f64 a -1/3)))

Compiler

Compiled 102 to 73 computations (28.4% saved)

series11.0ms (0.1%)

Counts

2 → 42

Calls

12 calls:

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

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`distribute-lft-in`
420×	`add-sqr-sqrt`
404×	`pow1`
404×	`*-un-lft-identity`
392×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	102
1	414	66
2	6099	66

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs

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

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

Outputs

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

simplify116.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1882×	`associate-/r*`
1092×	`associate-/r/`
572×	`+-commutative`
482×	`associate-+r+`
476×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	8751
1	1129	7631
2	4850	7617

Stop Event

1×	node limit

Counts

133 → 180

Calls

Call 1

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

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

eval755.0ms (6.6%)

Compiler: Compiled 37198 to 28303 computations (23.9% saved)

prune484.0ms (4.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1290	4	1294
Fresh	0	4	4
Picked	1	0	1
Done	3	2	5
Total	1294	10	1304

Error

Counts

1304 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.8b	(-.f64 a 1/3)
	9.4b	(+.f64 (+.f64 -1/3 (/.f64 (.f64 (.f64 (+.f64 a -1/3) 1/3) rand) (sqrt.f64 (+.f64 a -1/3)))) a)
	0.5b	(+.f64 (+.f64 -1/3 (.f64 (+.f64 a -1/3) (.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) a)
▶	0.4b	(+.f64 (+.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) a)
▶	0.1b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
▶	0.5b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	44.1b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
▶	44.1b	(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
▶	44.3b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	21.0b	a

Compiler

Compiled 214 to 168 computations (21.5% saved)

localize26.0ms (0.2%)

Local error

Found 3 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 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)

series5.0ms (0%)

Counts

2 → 34

Calls

12 calls:

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

rewrite97.0ms (0.8%)

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

simplify139.0ms (1.2%)

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 a 1/3))
	0.2b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
	0.6b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

series2.0ms (0%)

Counts

2 → 20

Calls

9 calls:

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

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`*-commutative`
700×	`unswap-sqr`
590×	`swap-sqr`
448×	`associate-*r/`
396×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	229	40
2	2738	40

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1424×	`associate-/l*`
1314×	`associate-+r+`
1274×	`associate-+l+`
1042×	`associate-/r*`
700×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1951
1	370	1745
2	1165	1733
3	4133	1733

Stop Event

1×	node limit

Counts

59 → 109

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

series11.0ms (0.1%)

Counts

3 → 26

Calls

15 calls:

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

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

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

Outputs

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

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

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

simplify123.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

215 → 275

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) a)
✓	0.0b	(+.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
	0.2b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
	0.6b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 49 to 36 computations (26.5% saved)

series2.0ms (0%)

Counts

2 → 34

Calls

12 calls:

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

rewrite108.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`associate-*r/`
1354×	`associate-*l/`
310×	`associate-/r*`
302×	`add-sqr-sqrt`
290×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	291	56
2	3877	56

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

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

Outputs

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

simplify169.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1048×	`+-commutative`
844×	`associate-+l+`
730×	`associate-+r+`
622×	`associate-/l*`
538×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	511	14245
1	1430	13421
2	6118	13417

Stop Event

1×	node limit

Counts

199 → 304

Calls

Call 1

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

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

eval631.0ms (5.5%)

Compiler: Compiled 34100 to 25626 computations (24.9% saved)

prune312.0ms (2.7%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1345	7	1352
Fresh	2	1	3
Picked	0	1	1
Done	3	3	6
Total	1350	12	1362

Error

Counts

1362 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.8b	(-.f64 a 1/3)
	0.5b	(+.f64 (+.f64 a (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3))) -1/3)
✓	0.4b	(+.f64 (+.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) a)
	1.4b	(+.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) a)
▶	1.6b	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
▶	0.5b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
✓	44.1b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
▶	44.0b	(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
✓	44.3b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶	59.8b	(.f64 1/3 (sqrt.f64 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
▶	59.8b	(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))
	21.0b	a

Compiler

Compiled 218 to 167 computations (23.4% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
✓	0.2b	(/.f64 (sqrt.f64 a) rand)
✓	1.1b	(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))

Compiler

Compiled 42 to 22 computations (47.6% saved)

series4.0ms (0%)

Counts

3 → 38

Calls

18 calls:

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

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`associate-/r*`
1036×	`associate-/l*`
692×	`associate-/r/`
312×	`add-sqr-sqrt`
298×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	308	59
2	4176	59

Stop Event

1×	node limit

Counts

3 → 207

Calls

Call 1

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

Outputs

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

simplify167.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-/r/`
822×	`associate-+r+`
752×	`associate-+l+`
576×	`+-commutative`
506×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	516	10105
1	1371	9509
2	5058	9505

Stop Event

1×	node limit

Counts

245 → 280

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

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

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1/27 (*.f64 a 1/9))
✓	0.1b	(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
✓	0.3b	(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
✓	0.3b	(*.f64 a 1/9)

Compiler

Compiled 28 to 21 computations (25% saved)

series5.0ms (0%)

Counts

4 → 44

Calls

15 calls:

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

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

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

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

simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1002×	`associate-*r/`
840×	`associate-*l/`
732×	`associate-r`
628×	`associate-/r/`
578×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	480	7933
1	1178	6881
2	4619	6881

Stop Event

1×	node limit

Counts

227 → 319

Calls

Call 1

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

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

localize40.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (+.f64 a -1/3) 1/9)
✓	9.8b	(.f64 (.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9))
✓	24.7b	(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))

Compiler

Compiled 36 to 22 computations (38.9% saved)

series3.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`*-commutative`
840×	`unswap-sqr`
670×	`swap-sqr`
622×	`associate-*r/`
482×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	253	61
2	3104	61

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (sqrt.f64 (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (pow.f64 (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (cbrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 a -1/3)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9))) 1/2) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 rand (*.f64 rand (+.f64 a -1/3))) 1/2) (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) (pow.f64 (*.f64 rand (*.f64 rand (+.f64 a -1/3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/27 (*.f64 a 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/27 (*.f64 1 (*.f64 a 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/27 (*.f64 (*.f64 a 1/9) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 1/9) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 a 1/9)) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a 1/9) 1) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 26/27 (*.f64 a 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/9 (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/9 (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x 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egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 26/27 (*.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1626×	`associate-/l*`
1520×	`distribute-lft-in`
1092×	`associate-/r*`
894×	`associate-*r/`
694×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	349	5347
1	888	4861
2	3313	4861

Stop Event

1×	node limit

Counts

183 → 214

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 -1/27 (pow.f64 rand 2))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
-1/27
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (exp.f64 (log1p.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) 1)
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 1)
(.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (pow.f64 1 1/2))
(.f64 1 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
(.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))
(.f64 1/3 (sqrt.f64 (.f64 rand (*.f64 rand (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
(.f64 (sqrt.f64 rand) (sqrt.f64 (.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))))
(.f64 (sqrt.f64 rand) (pow.f64 (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))) 1/2))
(.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9))))) (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9))))))
(.f64 (sqrt.f64 (.f64 rand (*.f64 rand (+.f64 a -1/3)))) 1/3)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9))))) 2)) (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))))))
(.f64 (sqrt.f64 (.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))) (sqrt.f64 rand))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))) 2)))
(.f64 (pow.f64 (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))) 1/2) (sqrt.f64 rand))
(.f64 (pow.f64 1 1/2) (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9))))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))) 1/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9))))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))) 2) 1/2))
(.f64 (pow.f64 (.f64 rand (*.f64 rand (+.f64 a -1/3))) 1/2) (pow.f64 1/9 1/2))
(.f64 (pow.f64 1/9 1/2) (pow.f64 (.f64 rand (*.f64 rand (+.f64 a -1/3))) 1/2))
(.f64 (.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))) (.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9)))))) (cbrt.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9)))))) (cbrt.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9))))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) 3/2) (pow.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) 3) 1/6) (pow.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/6))
(pow.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))) 1/2)
(pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) 1)
(pow.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) 2)
(pow.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) 3)
(pow.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) 3) 1/3)
(fabs.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))))
(cbrt.f64 (pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) 3))
(expm1.f64 (log1p.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(exp.f64 (log.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(log1p.f64 (expm1.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(+.f64 (.f64 (.f64 rand rand) -1/27) (.f64 (.f64 rand rand) (*.f64 a 1/9)))
(+.f64 (.f64 (.f64 rand rand) (.f64 a 1/9)) (.f64 (*.f64 rand rand) -1/27))
(+.f64 (.f64 1/9 (.f64 (.f64 rand rand) a)) (.f64 1/9 (.f64 (.f64 rand rand) -1/3)))
(+.f64 (.f64 1/9 (.f64 (.f64 rand rand) -1/3)) (.f64 1/9 (.f64 (.f64 rand rand) a)))
(+.f64 (.f64 (.f64 (.f64 rand rand) 1/9) a) (.f64 (.f64 (.f64 rand rand) 1/9) -1/3))
(+.f64 (.f64 (.f64 (.f64 rand rand) 1/9) -1/3) (.f64 (.f64 (.f64 rand rand) 1/9) a))
(+.f64 (.f64 -1/27 (.f64 rand rand)) (.f64 (.f64 a 1/9) (*.f64 rand rand)))
(+.f64 (.f64 (.f64 a 1/9) (.f64 rand rand)) (.f64 -1/27 (*.f64 rand rand)))
(+.f64 (.f64 (.f64 (.f64 rand rand) a) 1/9) (.f64 (.f64 (.f64 rand rand) -1/3) 1/9))
(+.f64 (.f64 (.f64 (.f64 rand rand) -1/3) 1/9) (.f64 (.f64 (.f64 rand rand) a) 1/9))
(+.f64 (.f64 a (.f64 (.f64 rand rand) 1/9)) (.f64 -1/3 (.f64 (.f64 rand rand) 1/9)))
(+.f64 (.f64 -1/3 (.f64 (.f64 rand rand) 1/9)) (.f64 a (.f64 (.f64 rand rand) 1/9)))
(-.f64 (exp.f64 (log1p.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))))) 1)
(/.f64 (.f64 (.f64 rand rand) (*.f64 1/9 (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (.f64 (.f64 rand rand) (+.f64 -1/243 (.f64 (pow.f64 a 3) 1/9))) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(/.f64 (.f64 1/9 (.f64 (*.f64 rand rand) (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (.f64 1/9 (.f64 (.f64 rand rand) (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(/.f64 (.f64 (.f64 (*.f64 rand rand) 1/9) 1) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (.f64 (.f64 (*.f64 rand rand) 1/9) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (.f64 (.f64 (.f64 rand rand) 1/9) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(/.f64 (.f64 (.f64 (.f64 rand rand) 1/9) (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a))
(/.f64 (.f64 (.f64 (*.f64 rand rand) 1/9) (neg.f64 (fma.f64 a a -1/9))) (+.f64 (neg.f64 a) -1/3))
(/.f64 (.f64 (.f64 (.f64 rand rand) 1/9) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (neg.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 1 (.f64 (*.f64 rand rand) 1/9)) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (.f64 (fma.f64 a a -1/9) (.f64 (*.f64 rand rand) 1/9)) (+.f64 a 1/3))
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (.f64 (.f64 rand rand) 1/9)) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(/.f64 (.f64 (-.f64 1/9 (.f64 a a)) (.f64 (.f64 rand rand) 1/9)) (-.f64 -1/3 a))
(/.f64 (.f64 (neg.f64 (fma.f64 a a -1/9)) (.f64 (*.f64 rand rand) 1/9)) (+.f64 (neg.f64 a) -1/3))
(/.f64 (.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (.f64 (.f64 rand rand) 1/9)) (neg.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (.f64 1/9 (fma.f64 a a -1/9)) (*.f64 rand rand)) (+.f64 a 1/3))
(/.f64 (.f64 (+.f64 -1/243 (.f64 (pow.f64 a 3) 1/9)) (.f64 rand rand)) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(/.f64 (.f64 (.f64 (*.f64 rand rand) (fma.f64 a a -1/9)) 1/9) (+.f64 a 1/3))
(/.f64 (.f64 (.f64 (.f64 rand rand) (+.f64 -1/27 (pow.f64 a 3))) 1/9) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(pow.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))) 1)
(pow.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) 2)
(pow.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))) 3)
(pow.f64 (.f64 (pow.f64 rand 4) (pow.f64 (+.f64 -1/27 (.f64 a 1/9)) 2)) 1/2)
(pow.f64 (pow.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 rand 4) (pow.f64 (+.f64 -1/27 (.f64 a 1/9)) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 rand) rand) (+.f64 -1/27 (*.f64 a 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))))))
(cbrt.f64 (pow.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 rand rand) 3) (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 3)))
(expm1.f64 (log1p.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))))
(exp.f64 (log.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))))
(log1p.f64 (expm1.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))))
(+.f64 -1/27 (*.f64 a 1/9))
(+.f64 -1/27 (.f64 1 (.f64 a 1/9)))
(+.f64 -1/27 (.f64 (.f64 a 1/9) 1))
(+.f64 (*.f64 a 1/9) -1/27)
(+.f64 (.f64 1 (.f64 a 1/9)) -1/27)
(+.f64 (.f64 (.f64 a 1/9) 1) -1/27)
(-.f64 (exp.f64 (log.f64 (+.f64 26/27 (*.f64 a 1/9)))) 1)
(/.f64 1/9 (/.f64 1 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) 1/9))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) 1/9))
(/.f64 (*.f64 1/9 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 -1/243 (.f64 (pow.f64 a 3) 1/9)) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(/.f64 (.f64 1/9 (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a))
(/.f64 (*.f64 1/9 (neg.f64 (fma.f64 a a -1/9))) (+.f64 (neg.f64 a) -1/3))
(/.f64 (.f64 1/9 (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (neg.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 1 (.f64 1/9 (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (.f64 1 (+.f64 -1/243 (.f64 (pow.f64 a 3) 1/9))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (.f64 (.f64 1/9 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (.f64 1/9 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (.f64 1/9 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (.f64 1/9 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (.f64 (-.f64 1/9 (.f64 a a)) 1/9) (-.f64 -1/3 a))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) 1/9) (+.f64 (neg.f64 a) -1/3))
(/.f64 (.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) 1/9) (neg.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (.f64 1/9 (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (.f64 (+.f64 -1/243 (.f64 (pow.f64 a 3) 1/9)) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 1/9 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 1/9 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 1/9 (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 1/9 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (.f64 1/9 (fma.f64 a a -1/9)) (.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (+.f64 -1/243 (.f64 (pow.f64 a 3) 1/9)) 1) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(/.f64 (/.f64 (+.f64 -1/243 (.f64 (pow.f64 a 3) 1/9)) (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (/.f64 (+.f64 -1/243 (.f64 (pow.f64 a 3) 1/9)) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))) (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1)
(pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) 3)
(pow.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 2))
(log.f64 (exp.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
(cbrt.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 3))
(expm1.f64 (log.f64 (+.f64 26/27 (*.f64 a 1/9))))
(exp.f64 (log.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(log1p.f64 (expm1.f64 (+.f64 -1/27 (*.f64 a 1/9))))

Outputs
(.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 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 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 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 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 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 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 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 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
(.f64 rand (.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
(.f64 rand (.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
(.f64 rand (.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
(.f64 rand (.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 (.f64 1/3 rand) (sqrt.f64 -1/3))
(.f64 (sqrt.f64 -1/3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand)))
(fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)) (/.f64 (.f64 -1/24 (.f64 rand (*.f64 a a))) (pow.f64 (sqrt.f64 -1/3) 3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 1/8 (/.f64 (.f64 a (*.f64 a rand)) (sqrt.f64 -1/3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (/.f64 (/.f64 (.f64 a (.f64 a rand)) 8) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 a (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 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 (/.f64 (.f64 a (*.f64 a rand)) 8) (sqrt.f64 -1/3)))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(*.f64 -1/27 (pow.f64 rand 2))
(.f64 rand (.f64 rand -1/27))
(.f64 -1/27 (.f64 rand rand))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 a (.f64 1/9 (*.f64 rand rand)))
(.f64 a (.f64 rand (*.f64 rand 1/9)))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 a (.f64 1/9 (*.f64 rand rand)))
(.f64 a (.f64 rand (*.f64 rand 1/9)))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))
-1/27
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 a 1/9 -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 a 1/9 -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 a 1/9 -1/27)
(*.f64 1/9 a)
(*.f64 a 1/9)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 a 1/9 -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 a 1/9 -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 a 1/9 -1/27)
(*.f64 1/9 a)
(*.f64 a 1/9)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 a 1/9 -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 a 1/9 -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 a 1/9 -1/27)
(-.f64 (exp.f64 (log1p.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) 1)
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 1)
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (pow.f64 1 1/2))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 1 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 1/3 (sqrt.f64 (.f64 rand (*.f64 rand (+.f64 a -1/3)))))
(.f64 1/3 (sqrt.f64 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 (sqrt.f64 rand) (sqrt.f64 (.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))))
(.f64 (sqrt.f64 rand) (sqrt.f64 (.f64 rand (fma.f64 a 1/9 -1/27))))
(.f64 (sqrt.f64 rand) (pow.f64 (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))) 1/2))
(.f64 (sqrt.f64 rand) (sqrt.f64 (.f64 rand (fma.f64 a 1/9 -1/27))))
(.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9))))) (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(.f64 (cbrt.f64 (.f64 rand (.f64 rand (fma.f64 a 1/9 -1/27)))) (cbrt.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(.f64 (cbrt.f64 (.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))) (cbrt.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9))))))
(.f64 (cbrt.f64 (.f64 rand (.f64 rand (fma.f64 a 1/9 -1/27)))) (cbrt.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(.f64 (cbrt.f64 (.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))) (cbrt.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(.f64 (sqrt.f64 (.f64 rand (*.f64 rand (+.f64 a -1/3)))) 1/3)
(.f64 1/3 (sqrt.f64 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(.f64 1/3 (sqrt.f64 (.f64 rand (*.f64 rand (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9))))) 2)) (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (fma.f64 a 1/9 -1/27))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27)))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand)))) (fabs.f64 (cbrt.f64 (.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand)))))
(.f64 (sqrt.f64 (.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))) (sqrt.f64 rand))
(.f64 (sqrt.f64 rand) (sqrt.f64 (.f64 rand (fma.f64 a 1/9 -1/27))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (fma.f64 a 1/9 -1/27))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27)))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand)))) (fabs.f64 (cbrt.f64 (.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand)))))
(.f64 (pow.f64 (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))) 1/2) (sqrt.f64 rand))
(.f64 (sqrt.f64 rand) (sqrt.f64 (.f64 rand (fma.f64 a 1/9 -1/27))))
(.f64 (pow.f64 1 1/2) (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9))))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (fma.f64 a 1/9 -1/27))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27)))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand)))) (fabs.f64 (cbrt.f64 (.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9))))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9))))) 2) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (fma.f64 a 1/9 -1/27))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27)))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand)))) (fabs.f64 (cbrt.f64 (.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand)))))
(.f64 (pow.f64 (.f64 rand (*.f64 rand (+.f64 a -1/3))) 1/2) (pow.f64 1/9 1/2))
(.f64 1/3 (sqrt.f64 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(.f64 1/3 (sqrt.f64 (.f64 rand (*.f64 rand (+.f64 a -1/3)))))
(.f64 (pow.f64 1/9 1/2) (pow.f64 (.f64 rand (*.f64 rand (+.f64 a -1/3))) 1/2))
(.f64 1/3 (sqrt.f64 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(.f64 1/3 (sqrt.f64 (.f64 rand (*.f64 rand (+.f64 a -1/3)))))
(.f64 (.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))) (.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9)))))) (cbrt.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (.f64 a 1/9)))))) (cbrt.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (fma.f64 a 1/9 -1/27))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (.f64 rand (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))))))
(.f64 (cbrt.f64 (.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))) (cbrt.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
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(*.f64 (/.f64 1/9 (+.f64 1/3 a)) (fma.f64 a a -1/9))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) 1/9))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) 1/9)
(/.f64 (fma.f64 (pow.f64 a 3) 1/9 -1/243) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (*.f64 1/9 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) 1/9)
(*.f64 (/.f64 1/9 (+.f64 1/3 a)) (fma.f64 a a -1/9))
(/.f64 (+.f64 -1/243 (.f64 (pow.f64 a 3) 1/9)) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) 1/9)
(/.f64 (fma.f64 (pow.f64 a 3) 1/9 -1/243) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (.f64 1/9 (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a))
(/.f64 1/9 (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))
(/.f64 (*.f64 -1/9 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(/.f64 -1/9 (/.f64 (-.f64 -1/3 a) (fma.f64 a a -1/9)))
(/.f64 (*.f64 1/9 (neg.f64 (fma.f64 a a -1/9))) (+.f64 (neg.f64 a) -1/3))
(/.f64 1/9 (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))
(/.f64 (*.f64 -1/9 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(/.f64 -1/9 (/.f64 (-.f64 -1/3 a) (fma.f64 a a -1/9)))
(/.f64 (.f64 1/9 (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (neg.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 1/9 (-.f64 1/27 (pow.f64 a 3))) (+.f64 -1/9 (neg.f64 (.f64 a (+.f64 1/3 a)))))
(*.f64 -1/9 (/.f64 (-.f64 1/27 (pow.f64 a 3)) (fma.f64 a (+.f64 1/3 a) 1/9)))
(/.f64 (.f64 1 (.f64 1/9 (fma.f64 a a -1/9))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) 1/9)
(*.f64 (/.f64 1/9 (+.f64 1/3 a)) (fma.f64 a a -1/9))
(/.f64 (.f64 1 (+.f64 -1/243 (.f64 (pow.f64 a 3) 1/9))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) 1/9)
(/.f64 (fma.f64 (pow.f64 a 3) 1/9 -1/243) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (.f64 (.f64 1/9 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 1/9 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 (*.f64 1/9 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 1/9 (/.f64 (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (.f64 (.f64 1/9 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 1/9 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(.f64 (/.f64 (.f64 1/9 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) 1/9)) (sqrt.f64 (fma.f64 a a -1/9)))
(/.f64 (.f64 (.f64 1/9 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 1/9 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 1/9 (/.f64 (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))))
(*.f64 (/.f64 1/9 (/.f64 (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (.f64 (.f64 1/9 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 1/9 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (fma.f64 a a -1/9))))
(/.f64 1/9 (/.f64 (/.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (fma.f64 a a -1/9))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)))
(.f64 (/.f64 1/9 (cbrt.f64 (+.f64 1/3 a))) (.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (fma.f64 a a -1/9))))
(/.f64 (.f64 (-.f64 1/9 (.f64 a a)) 1/9) (-.f64 -1/3 a))
(/.f64 1/9 (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))
(/.f64 (*.f64 -1/9 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(/.f64 -1/9 (/.f64 (-.f64 -1/3 a) (fma.f64 a a -1/9)))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) 1/9) (+.f64 (neg.f64 a) -1/3))
(/.f64 1/9 (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))
(/.f64 (*.f64 -1/9 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(/.f64 -1/9 (/.f64 (-.f64 -1/3 a) (fma.f64 a a -1/9)))
(/.f64 (.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) 1/9) (neg.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 1/9 (-.f64 1/27 (pow.f64 a 3))) (+.f64 -1/9 (neg.f64 (.f64 a (+.f64 1/3 a)))))
(*.f64 -1/9 (/.f64 (-.f64 1/27 (pow.f64 a 3)) (fma.f64 a (+.f64 1/3 a) 1/9)))
(/.f64 (.f64 (.f64 1/9 (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) 1/9)
(*.f64 (/.f64 1/9 (+.f64 1/3 a)) (fma.f64 a a -1/9))
(/.f64 (.f64 (+.f64 -1/243 (.f64 (pow.f64 a 3) 1/9)) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) 1/9)
(/.f64 (fma.f64 (pow.f64 a 3) 1/9 -1/243) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (.f64 1/9 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (.f64 1/9 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 (*.f64 1/9 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 1/9 (/.f64 (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a -1/9)) (.f64 1/9 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 1/9 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(.f64 (/.f64 (.f64 1/9 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) 1/9)) (sqrt.f64 (fma.f64 a a -1/9)))
(/.f64 (/.f64 (*.f64 1/9 (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) 1/9)
(*.f64 (/.f64 1/9 (+.f64 1/3 a)) (fma.f64 a a -1/9))
(/.f64 (/.f64 (*.f64 1/9 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) 1/9)
(*.f64 (/.f64 1/9 (+.f64 1/3 a)) (fma.f64 a a -1/9))
(/.f64 (/.f64 (.f64 1/9 (fma.f64 a a -1/9)) (.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) 1/9)
(*.f64 (/.f64 1/9 (+.f64 1/3 a)) (fma.f64 a a -1/9))
(/.f64 (/.f64 (+.f64 -1/243 (.f64 (pow.f64 a 3) 1/9)) 1) (+.f64 1/9 (.f64 a (+.f64 a 1/3))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) 1/9)
(/.f64 (fma.f64 (pow.f64 a 3) 1/9 -1/243) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (/.f64 (+.f64 -1/243 (.f64 (pow.f64 a 3) 1/9)) (sqrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) 1/9)
(/.f64 (fma.f64 (pow.f64 a 3) 1/9 -1/243) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (/.f64 (+.f64 -1/243 (.f64 (pow.f64 a 3) 1/9)) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))) (cbrt.f64 (+.f64 1/9 (.f64 a (+.f64 a 1/3)))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (.f64 a (+.f64 1/3 a)))) 1/9)
(/.f64 (fma.f64 (pow.f64 a 3) 1/9 -1/243) (fma.f64 a (+.f64 1/3 a) 1/9))
(pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1)
(fma.f64 a 1/9 -1/27)
(pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) 2)
(fma.f64 a 1/9 -1/27)
(pow.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) 3)
(fma.f64 a 1/9 -1/27)
(pow.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 3) 1/3)
(fma.f64 a 1/9 -1/27)
(sqrt.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 2))
(sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))
(fabs.f64 (fma.f64 a 1/9 -1/27))
(log.f64 (exp.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(fma.f64 a 1/9 -1/27)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
(fma.f64 a 1/9 -1/27)
(cbrt.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 3))
(fma.f64 a 1/9 -1/27)
(expm1.f64 (log.f64 (+.f64 26/27 (*.f64 a 1/9))))
(fma.f64 a 1/9 -1/27)
(exp.f64 (log.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(fma.f64 a 1/9 -1/27)
(log1p.f64 (expm1.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(fma.f64 a 1/9 -1/27)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 1/3 (sqrt.f64 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
✓	9.9b	(.f64 (+.f64 a -1/3) (.f64 rand rand))
✓	24.4b	(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 rand rand)))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series2.0ms (0%)

Counts

3 → 56

Calls

18 calls:

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

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`*-commutative`
806×	`unswap-sqr`
636×	`swap-sqr`
536×	`associate-*r/`
512×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	250	59
2	3045	59

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

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

Outputs

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

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

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

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1420×	`associate-/r*`
944×	`distribute-lft-in`
942×	`distribute-rgt-in`
670×	`associate-/l/`
654×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	313	5114
1	819	4946
2	3370	4946

Stop Event

1×	node limit

Counts

166 → 203

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 a 1/3))
	0.0b	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
	0.2b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
	0.6b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 36 to 25 computations (30.6% saved)

eval748.0ms (6.5%)

Compiler: Compiled 27506 to 19384 computations (29.5% saved)

prune730.0ms (6.4%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1298	2	1300
Fresh	1	2	3
Picked	0	1	1
Done	1	7	8
Total	1300	12	1312

Error

Counts

1312 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.8b	(-.f64 a 1/3)
✓	0.4b	(+.f64 (+.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) a)
	1.4b	(+.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) a)
✓	1.6b	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
	22.2b	(+.f64 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))) a)
✓	0.5b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
✓	44.1b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
✓	44.0b	(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
✓	44.3b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	59.7b	(.f64 1/3 (sqrt.f64 (.f64 (*.f64 rand a) rand)))
✓	59.8b	(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))
	21.0b	a

Compiler

Compiled 126 to 96 computations (23.8% saved)

regimes60.0ms (0.5%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
13.0ms	a
12.0ms	(-.f64 a (/.f64 1 3))
12.0ms	rand

Results

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

Compiler

Compiled 331 to 246 computations (25.7% saved)

regimes22.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	rand
9.0ms	a

Results

Error	Segments	Branch
0.4b	1	`a`
0.4b	1	`rand`

Compiler

Compiled 152 to 107 computations (29.6% saved)

regimes19.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
8.0ms	rand

Results

Error	Segments	Branch
0.5b	1	`a`
0.5b	1	`rand`

Compiler

Compiled 128 to 89 computations (30.5% saved)

regimes18.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	rand
7.0ms	a

Results

Error	Segments	Branch
0.5b	1	`a`
0.5b	1	`rand`

Compiler

Compiled 104 to 73 computations (29.8% saved)

regimes27.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	rand
6.0ms	a

Results

Error	Segments	Branch
1.4b	1	`a`
0.1b	3	`rand`

Compiler

Compiled 92 to 64 computations (30.4% saved)

bsearch6.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
2.0ms	1.9417217362117213e-100	1.5983216188900834e-87
4.0ms	-273183563127.23694	-519618.1090299192

Results

4.0ms

32×

body

256

valid

Compiler

Compiled 65 to 53 computations (18.5% saved)

regimes25.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	rand
7.0ms	a

Results

Error	Segments	Branch
1.6b	1	`a`
0.4b	3	`rand`

Compiler

Compiled 82 to 57 computations (30.5% saved)

bsearch80.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
2.0ms	1.9417217362117213e-100	1.5983216188900834e-87
77.0ms	-273183563127.23694	-519618.1090299192

Results

77.0ms

160×

body

256

valid

Compiler

Compiled 217 to 173 computations (20.3% saved)

regimes60.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	a
21.0ms	rand

Results

Error	Segments	Branch
15.2b	7	`a`
4.7b	3	`rand`

Compiler

Compiled 72 to 50 computations (30.6% saved)

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	4.203976486137081e+28	2.2751594951258275e+37
22.0ms	-1.4325657025897467e+66	-8.58375923951388e+60

Results

39.0ms

288×

body

256

valid

Compiler

Compiled 333 to 275 computations (17.4% saved)

regimes70.0ms (0.6%)

Counts

4 → 3

Calls

Call 1

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

57.0ms	a
12.0ms	rand

Results

Error	Segments	Branch
15.2b	7	`a`
5.0b	3	`rand`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	4.203976486137081e+28	2.2751594951258275e+37
22.0ms	-1.4325657025897467e+66	-8.58375923951388e+60

Results

41.0ms

288×

body

256

valid

Compiler

Compiled 333 to 275 computations (17.4% saved)

regimes8.0ms (0.1%)

Accuracy

Total -42.3b remaining (-213.6%)

Threshold costs -42.3b (-213.6%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(-.f64 a 1/3)

Calls

2 calls:

4.0ms	a
3.0ms	rand

Results

Error	Segments	Branch
19.8b	1	`a`
19.8b	1	`rand`

Compiler

Compiled 20 to 13 computations (35% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	424
1	106	424

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 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) a)
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(if (<=.f64 rand -200000000000) (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) (if (<=.f64 rand 492525077454931/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (-.f64 a 1/3) (+.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) a)))
(if (<=.f64 rand -520000) (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) (if (<=.f64 rand 492525077454931/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (-.f64 a 1/3) (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)))
(if (<=.f64 rand -1249999999999999978420969729898199789654972859447616534822143393792) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 22000000000000000638106117049042337792) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(if (<=.f64 rand -142000000000000005658202446538149608633411316609360457822633984) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 22000000000000000638106117049042337792) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(-.f64 a 1/3)
a

Outputs
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))))
(+.f64 (+.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) a)
(+.f64 a (+.f64 -1/3 (.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 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(if (<=.f64 rand -200000000000) (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) (if (<=.f64 rand 492525077454931/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (-.f64 a 1/3) (+.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) a)))
(if (<=.f64 rand -200000000000) (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (if (<=.f64 rand 492525077454931/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (+.f64 a -1/3) (+.f64 a (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/3)))))
(if (<=.f64 rand -520000) (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) (if (<=.f64 rand 492525077454931/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (-.f64 a 1/3) (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)))
(if (or (<=.f64 rand -520000) (not (<=.f64 rand 492525077454931/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176))) (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(if (<=.f64 rand -1249999999999999978420969729898199789654972859447616534822143393792) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 22000000000000000638106117049042337792) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(if (<=.f64 rand -1249999999999999978420969729898199789654972859447616534822143393792) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 22000000000000000638106117049042337792) (+.f64 a -1/3) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(if (<=.f64 rand -142000000000000005658202446538149608633411316609360457822633984) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 22000000000000000638106117049042337792) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (or (<=.f64 rand -142000000000000005658202446538149608633411316609360457822633984) (not (<=.f64 rand 22000000000000000638106117049042337792))) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(-.f64 a 1/3)
(+.f64 a -1/3)
a

Compiler

Compiled 174 to 133 computations (23.6% saved)

soundness511.0ms (4.5%)

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)

end84.0ms (0.7%)

Compiler: Compiled 156 to 115 computations (26.3% saved)