Details

analyze86.0ms (0.9%)

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)

sample1.5s (15.9%)

Results

1.3s	8256×	body	256	valid
79.0ms	621×	body	256	infinite
78.0ms	606×	body	256	invalid

Bogosity

preprocess190.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

2198×	`fma-neg_binary64`
692×	`fma-def_binary64`
350×	`unsub-neg_binary64`
301×	`sub-neg_binary64`
270×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	52	42
2	142	38
3	402	38
4	1018	38
5	1911	38
6	2888	38
7	4219	38
8	5397	38
9	6013	38
10	6158	38
11	6169	38
12	6173	38
13	6359	38
14	6416	38
15	6416	38
16	6416	38
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 a 9) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -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 rand 9) -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)

simplify107.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1035×	`fma-def_binary64`
742×	`fma-neg_binary64`
189×	`distribute-rgt-in_binary64`
173×	`cancel-sign-sub-inv_binary64`
157×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	32	21
2	82	19
3	203	19
4	510	19
5	968	19
6	1468	19
7	2419	19
8	3619	19
9	4100	19
10	4256	19
11	4295	19
12	4295	19
13	4848	19
14	4848	19

Stop Event

1×

saturated

Counts

1 → 5

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

eval2.0ms (0%)

Compiler: Compiled 78 to 63 computations (19.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

0.1b

Counts

6 → 3

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.1b

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

▶

0.1b

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

▶

0.1b

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

Compiler

Compiled 49 to 40 computations (18.4% saved)

localize27.0ms (0.3%)

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)))
✓	0.2b	(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)
✓	0.3b	(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
✓	0.4b	(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))

Compiler

Compiled 67 to 54 computations (19.4% saved)

series16.0ms (0.2%)

Counts

4 → 42

Calls

18 calls:

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

rewrite104.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`prod-diff_binary64`
637×	`log-prod_binary64`
412×	`fma-def_binary64`
235×	`expm1-udef_binary64`
235×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	286	51
2	3780	43

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)
(.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 0 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 9 1/2) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a 9 -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/2))))) (#(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 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 a 9 -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 pow.f64 (fma.f64 a 9 -3) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -1/2 (log.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))) 1))))))
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simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

560×	`associate-/r/_binary64`
298×	`cancel-sign-sub-inv_binary64`
286×	`associate-/l/_binary64`
229×	`fma-neg_binary64`
220×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	4892
1	1298	4578
2	4567	4404

Stop Event

1×	node limit

Counts

235 → 324

Calls

Call 1

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

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

localize25.0ms (0.3%)

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 (.f64 a 9) -3)))))
✓	0.2b	(/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))
✓	0.4b	(sqrt.f64 (+.f64 (*.f64 a 9) -3))

Compiler

Compiled 57 to 44 computations (22.8% saved)

series12.0ms (0.1%)

Counts

3 → 38

Calls

15 calls:

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

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`prod-diff_binary64`
674×	`log-prod_binary64`
429×	`fma-def_binary64`
264×	`expm1-udef_binary64`
264×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	315	35
2	4230	35

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

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

Outputs
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Outputs

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

simplify109.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

459×	`cancel-sign-sub-inv_binary64`
260×	`fma-neg_binary64`
221×	`distribute-rgt-neg-in_binary64`
207×	`associate-r_binary64`
203×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	4324
1	1205	4184
2	4337	4065

Stop Event

1×	node limit

Counts

201 → 273

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a 9 -3)
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
✓	0.2b	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
✓	0.4b	(sqrt.f64 (fma.f64 a 9 -3))

Compiler

Compiled 49 to 37 computations (24.5% saved)

series10.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

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

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
492×	`prod-diff_binary64`
350×	`fma-def_binary64`
240×	`pow1/3_binary64`
237×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	287	40
2	3747	40

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

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

simplify114.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

498×	`cancel-sign-sub-inv_binary64`
264×	`associate-r_binary64`
261×	`associate-l_binary64`
243×	`log-prod_binary64`
242×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	508	4790
1	1300	4637
2	5018	4603

Stop Event

1×	node limit

Counts

246 → 307

Calls

Call 1

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

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

eval682.0ms (7.4%)

Compiler: Compiled 21585 to 17061 computations (21% saved)

prune212.0ms (2.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	894	10	904
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	897	10	907

Error

Counts

907 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	23.7b	(/.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	19.4b	(-.f64 a 1/3)
▶	10.1b	(+.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
▶	0.6b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
▶	0.1b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
▶	0.2b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))))
	44.8b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	20.3b	a

Compiler

Compiled 263 to 208 computations (20.9% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 39 computations (25% saved)

series11.0ms (0.1%)

Counts

4 → 54

Calls

21 calls:

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

rewrite112.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

605×	`log-prod_binary64`
555×	`prod-diff_binary64`
343×	`fma-def_binary64`
231×	`expm1-udef_binary64`
231×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	273	46
2	3811	46

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

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

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

simplify110.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

353×	`fma-neg_binary64`
342×	`associate-r_binary64`
313×	`associate-l_binary64`
284×	`log-prod_binary64`
256×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	535	5674
1	1338	5324
2	5295	5313

Stop Event

1×	node limit

Counts

256 → 339

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize20.0ms (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 a 9)))))
✓	0.2b	(/.f64 rand (sqrt.f64 (*.f64 a 9)))
✓	0.4b	(sqrt.f64 (*.f64 a 9))

Compiler

Compiled 43 to 31 computations (27.9% saved)

series10.0ms (0.1%)

Counts

3 → 26

Calls

15 calls:

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

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`log-prod_binary64`
537×	`prod-diff_binary64`
350×	`fma-def_binary64`
226×	`pow1/3_binary64`
223×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	267	32
2	3611	32

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

Outputs

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

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

simplify110.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-neg_binary64`
243×	`associate-/l/_binary64`
194×	`cancel-sign-sub-inv_binary64`
192×	`associate-+l+_binary64`
186×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	398	3822
1	1017	3653
2	3312	3544
3	7643	3544

Stop Event

1×	node limit

Counts

198 → 258

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 39 computations (25% saved)

series6.0ms (0.1%)

Counts

4 → 38

Calls

18 calls:

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

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`prod-diff_binary64`
401×	`fma-def_binary64`
261×	`log-div_binary64`
231×	`expm1-udef_binary64`
231×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	294	42
2	4102	41

Stop Event

1×	node limit

Counts

4 → 201

Calls

Call 1

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

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

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

434×	`fma-neg_binary64`
382×	`associate-r_binary64`
362×	`associate-l_binary64`
326×	`exp-prod_binary64`
317×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	522	5340
1	1404	5245
2	5926	5244

Stop Event

1×	node limit

Counts

239 → 332

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

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

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 rand (+.f64 a -1/3))
	0.0b	(fma.f64 a 9 -3)
	0.4b	(sqrt.f64 (fma.f64 a 9 -3))
✓	9.4b	(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))

Compiler

Compiled 50 to 36 computations (28% saved)

series6.0ms (0.1%)

Counts

2 → 40

Calls

12 calls:

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

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
349×	`pow-prod-down_binary64`
304×	`pow2_binary64`
245×	`prod-diff_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	246	23
2	3238	23

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2) (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2) (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 2) (*.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) (sqrt.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (*.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand 1) (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) 1) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 2) 1) (/.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) 1) (/.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 2) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (/.f64 (*.f64 rand (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 2) (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2) (fma.f64 a 9 -3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 rand (+.f64 a -1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3) (pow.f64 (fma.f64 a 9 -3) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 rand (+.f64 a -1/3))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2) (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3) (pow.f64 (fma.f64 a 9 -3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 rand (+.f64 a -1/3)))) -1))))))

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

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

744×	`times-frac_binary64`
453×	`unswap-sqr_binary64`
359×	`associate-/r*_binary64`
203×	`associate-/l/_binary64`
179×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	2230
1	811	2178
2	3038	2168

Stop Event

1×	node limit

Counts

146 → 160

Calls

Call 1

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

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

eval715.0ms (7.8%)

Compiler: Compiled 27435 to 20947 computations (23.6% saved)

prune422.0ms (4.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1166	6	1172
Fresh	2	3	5
Picked	1	0	1
Done	2	2	4
Total	1171	11	1182

Error

Counts

1182 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	0.6b	(-.f64 a (-.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (/.f64 rand 3)))))
✓	19.4b	(-.f64 a 1/3)
▶	0.6b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (.f64 (sqrt.f64 a) 3))))
	0.6b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))
	0.6b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
✓	0.1b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
	44.5b	(.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
▶	51.8b	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 1/3 (*.f64 rand (+.f64 a -1/3))))
▶	44.8b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	20.3b	a

Compiler

Compiled 238 to 187 computations (21.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 a 1/3))
✓	0.0b	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
✓	0.3b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
✓	0.6b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 48 to 34 computations (29.2% saved)

series10.0ms (0.1%)

Counts

4 → 27

Calls

21 calls:

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

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`log-prod_binary64`
364×	`exp-prod_binary64`
340×	`pow-prod-down_binary64`
338×	`fma-def_binary64`
264×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	204	40
2	2754	40

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 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))))))) (#(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 pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)))) (#(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 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 2)) (cbrt.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (sqrt.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.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 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3) 1/3))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3)))) 2)) (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 a -1/3) 1/6) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/6))))) (#(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 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (hypot.f64 a (sqrt.f64 (fma.f64 1/3 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x 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) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3/2)))) (#(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 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 a -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 log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 a -1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 a -1/3) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 a -1/3) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (+.f64 a -1/3)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (+.f64 a -1/3)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1) 1))))))

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

419×	`associate-/l*_binary64`
295×	`log-prod_binary64`
292×	`cancel-sign-sub-inv_binary64`
268×	`times-frac_binary64`
243×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	3025
1	990	2959
2	3095	2898

Stop Event

1×	node limit

Counts

182 → 266

Calls

Call 1

Inputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
a
a
a
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1)
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(pow.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1/2)
(pow.f64 (cbrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)
(pow.f64 (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)
(pow.f64 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 2)) (cbrt.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (sqrt.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(sqrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(cbrt.f64 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))
(expm1.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(log1p.f64 (expm1.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(exp.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3) 1/3))
(+.f64 0 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) 2)) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)
(pow.f64 (.f64 (+.f64 a -1/3) (.f64 rand rand)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 1)
(-.f64 (/.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand))) (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))) (/.f64 (.f64 a a) (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)
(.f64 1 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(.f64 (sqrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(.f64 (fma.f64 1/27 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))))
(.f64 (-.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand))) (.f64 a a)) (/.f64 1 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(/.f64 1 (/.f64 (fma.f64 a (-.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))) (fma.f64 1/27 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) (-.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand))) (*.f64 a a))))
(/.f64 (fma.f64 1/27 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))))
(/.f64 (fma.f64 1/27 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3)) (fma.f64 a a (-.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand))) (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (*.f64 1/3 a)))))
(/.f64 (-.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand))) (.f64 a a)) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))
(/.f64 (neg.f64 (fma.f64 1/27 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a (-.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand))))))
(/.f64 (neg.f64 (-.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand))) (.f64 a a))) (neg.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(/.f64 (-.f64 (.f64 a a) (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))) (-.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)
(pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(pow.f64 (/.f64 (fma.f64 a (-.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))) (fma.f64 1/27 (pow.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3))) -1)
(pow.f64 (/.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) (-.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand))) (*.f64 a a))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))) (sqrt.f64 (log.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))
(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))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))))
(log.f64 (.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (exp.f64 a)))
(log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (+.f64 1 (expm1.f64 a))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (+.f64 1 (expm1.f64 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)))
(log1p.f64 (expm1.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))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 1) 1))
(fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)
(fma.f64 a 1 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3) a)
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) a)
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1/3 a)
(fma.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1 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 (cbrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))) a)
(fma.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))) (cbrt.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(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 a -1/3) (.f64 rand rand))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1/3) a)
(fma.f64 (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1/3) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand a)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)
(fma.f64 (.f64 1/3 (cbrt.f64 (.f64 (+.f64 a -1/3) (.f64 rand rand)))) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)
(fma.f64 (.f64 1/3 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)
(fma.f64 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1) rand a)
(fma.f64 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) a)
(fma.f64 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 rand) a)
(+.f64 0 (sqrt.f64 (+.f64 a -1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3)))) 2)) (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))))
(-.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) 1/6) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/6))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (hypot.f64 a (sqrt.f64 (fma.f64 1/3 a 1/9))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.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) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3/2)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 a -1/3))))
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 a -1/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 a -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))))
(log1p.f64 (expm1.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))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 a -1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a -1/3) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a -1/3) 1/4)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 a -1/3)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 a -1/3)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1) 1))

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 (.f64 1/3 rand) (sqrt.f64 -1/3))
(.f64 rand (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (/.f64 (.f64 1/6 (*.f64 rand a)) (sqrt.f64 -1/3)))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (/.f64 (.f64 (*.f64 1/6 a) rand) (sqrt.f64 -1/3)))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 (*.f64 (/.f64 1/6 (sqrt.f64 -1/3)) rand) a))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (.f64 -1/24 (/.f64 (.f64 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 rand 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 a (/.f64 (sqrt.f64 -1/3) (.f64 rand a))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 1/8 (/.f64 (.f64 a (.f64 rand 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 a (/.f64 (sqrt.f64 -1/3) (*.f64 rand a)))))))
(*.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 (sqrt.f64 -1/3) (*.f64 rand a))))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 (/.f64 (.f64 a 1/2) (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 (/.f64 (.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) -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 a (.f64 rand 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 (/.f64 (*.f64 a a) 8/3) (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 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 (/.f64 (.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) -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 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)) 1/16 (.f64 3/8 (/.f64 (.f64 a (*.f64 rand 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 (/.f64 (.f64 a a) 8/3) (sqrt.f64 -1/3)) rand))))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 (.f64 1/3 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 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)))
(fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (.f64 rand (.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (.f64 a (+.f64 1 (*.f64 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 a (.f64 rand 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) (.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) (*.f64 rand a))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(+.f64 (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (.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)) (.f64 1/8 (/.f64 (.f64 a (.f64 rand a)) (sqrt.f64 -1/3)))))
(+.f64 (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (.f64 (/.f64 1/48 (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 rand (pow.f64 a 3)))) (fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) (*.f64 rand a))))))
a
a
a
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (.f64 1/3 (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 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand)
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
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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 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(exp.f64 (log.f64 (fma.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)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(exp.f64 (.f64 (log.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 1))
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 1/3))
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 3))
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 2))
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 1) 1))
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.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)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 a 1 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1/3 a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1 a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 1 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 1 (.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)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 (cbrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))) a)
(fma.f64 (cbrt.f64 (.f64 (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand)) (cbrt.f64 (.f64 1/9 (.f64 (-.f64 a 1/3) (*.f64 rand rand)))) a)
(fma.f64 (cbrt.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) (cbrt.f64 (.f64 1/9 (.f64 (-.f64 a 1/3) (*.f64 rand rand)))) a)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))) (cbrt.f64 (.f64 (-.f64 a 1/3) (.f64 (*.f64 rand rand) 1/9))) a)
(fma.f64 (cbrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (.f64 rand rand)))) (cbrt.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)
(fma.f64 (cbrt.f64 (.f64 (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand)) (cbrt.f64 (.f64 1/9 (.f64 (-.f64 a 1/3) (*.f64 rand rand)))) a)
(fma.f64 (cbrt.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) (cbrt.f64 (.f64 1/9 (.f64 (-.f64 a 1/3) (*.f64 rand rand)))) a)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))) (cbrt.f64 (.f64 (-.f64 a 1/3) (.f64 (*.f64 rand rand) 1/9))) a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 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 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 (cbrt.f64 (.f64 (+.f64 a -1/3) (.f64 rand rand))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1/3) a)
(fma.f64 (cbrt.f64 (.f64 (-.f64 a 1/3) (.f64 rand rand))) (.f64 1/3 (cbrt.f64 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) a)
(fma.f64 (cbrt.f64 (.f64 rand (.f64 rand (-.f64 a 1/3)))) (.f64 1/3 (cbrt.f64 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) a)
(fma.f64 (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 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 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1/3) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 (.f64 1/3 (cbrt.f64 (.f64 (+.f64 a -1/3) (.f64 rand rand)))) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)
(fma.f64 (cbrt.f64 (.f64 (-.f64 a 1/3) (.f64 rand rand))) (.f64 1/3 (cbrt.f64 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) a)
(fma.f64 (cbrt.f64 (.f64 rand (.f64 rand (-.f64 a 1/3)))) (.f64 1/3 (cbrt.f64 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) a)
(fma.f64 (.f64 1/3 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1) rand a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(fma.f64 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 rand) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))) a)
(fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)
(+.f64 0 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (-.f64 a 1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3)))) 2)) (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a 1/3)))))))
(fma.f64 1/3 (sqrt.f64 (-.f64 a 1/3)) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a 1/3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a 1/3))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)
(sqrt.f64 (-.f64 a 1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (-.f64 a 1/3))
(*.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (-.f64 a 1/3))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/6) (cbrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (-.f64 a 1/3))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/6))
(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 a 1/3))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (hypot.f64 a (sqrt.f64 (fma.f64 1/3 a 1/9))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))
(pow.f64 (+.f64 a -1/3) 1/2)
(sqrt.f64 (-.f64 a 1/3))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (-.f64 a 1/3))
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)
(sqrt.f64 (-.f64 a 1/3))
(pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 a 1/3) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/6)
(pow.f64 (pow.f64 (-.f64 a 1/3) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/6) 3)
(sqrt.f64 (-.f64 a 1/3))
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3/2)
(pow.f64 (cbrt.f64 (-.f64 a 1/3)) 3/2)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(sqrt.f64 (-.f64 a 1/3))
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (-.f64 a 1/3))
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 a -1/3)))
(sqrt.f64 (-.f64 a 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 a 1/3)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 a 1/3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 a 1/3))))) (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 a 1/3)))))
(fabs.f64 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (-.f64 a 1/3))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (-.f64 a 1/3))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (-.f64 a 1/3))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(sqrt.f64 (-.f64 a 1/3))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (-.f64 a 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (-.f64 a 1/3))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (-.f64 a 1/3))
(exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1/2))
(sqrt.f64 (-.f64 a 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1))
(sqrt.f64 (-.f64 a 1/3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 a -1/3))) 1/3))
(sqrt.f64 (-.f64 a 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a -1/3) 1/6)) 3))
(sqrt.f64 (-.f64 a 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a -1/3) 1/4)) 2))
(sqrt.f64 (-.f64 a 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 a -1/3)) 1) 1/2))
(sqrt.f64 (-.f64 a 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 a -1/3)) 1/2) 1))
(sqrt.f64 (-.f64 a 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1) 1))
(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))
	0.3b	(*.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)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 rand (+.f64 a -1/3))
✓	0.1b	(sqrt.f64 (/.f64 1 a))
✓	0.3b	(.f64 1/3 (.f64 rand (+.f64 a -1/3)))
✓	9.4b	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 1/3 (*.f64 rand (+.f64 a -1/3))))

Compiler

Compiled 41 to 29 computations (29.3% saved)

series15.0ms (0.2%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 1/3 (*.f64 rand (+.f64 a -1/3))))
3.0ms	a	@	inf	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 1/3 (*.f64 rand (+.f64 a -1/3))))
2.0ms	a	@	0	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 1/3 (*.f64 rand (+.f64 a -1/3))))
1.0ms	rand	@	0	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 1/3 (*.f64 rand (+.f64 a -1/3))))
1.0ms	rand	@	inf	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 1/3 (*.f64 rand (+.f64 a -1/3))))

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`log-prod_binary64`
416×	`pow-prod-down_binary64`
309×	`pow2_binary64`
235×	`pow-unpow_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	260	29
2	3279	29

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 a -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 a -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/6) (/.f64 1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) (pow.f64 a -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/4) (pow.f64 a -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 a)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 a -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 a -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 a)) 1))))))

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

532×	`distribute-rgt-in_binary64`
519×	`distribute-lft-in_binary64`
481×	`fma-def_binary64`
429×	`log-prod_binary64`
286×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	1404
1	498	1346
2	1497	1160
3	7178	1160

Stop Event

1×	node limit

Counts

125 → 118

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 26 computations (38.1% saved)

series7.0ms (0.1%)

Counts

3 → 26

Calls

15 calls:

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

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`log-prod_binary64`
603×	`prod-diff_binary64`
361×	`fma-def_binary64`
226×	`expm1-udef_binary64`
226×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	267	31
2	3701	31

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

744×	`associate-/l*_binary64`
378×	`cancel-sign-sub-inv_binary64`
269×	`log-prod_binary64`
246×	`associate-/l/_binary64`
227×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	391	3783
1	1034	3492
2	3534	3430

Stop Event

1×	node limit

Counts

194 → 245

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

localize25.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 a (-.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (/.f64 rand 3)))))
✓	0.3b	(/.f64 (sqrt.f64 a) (/.f64 rand 3))
✓	8.5b	(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (/.f64 rand 3)))

Compiler

Compiled 57 to 36 computations (36.8% saved)

series11.0ms (0.1%)

Counts

3 → 38

Calls

18 calls:

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

rewrite104.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`log-prod_binary64`
380×	`fma-def_binary64`
293×	`log-div_binary64`
279×	`expm1-udef_binary64`
279×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	316	45
2	4695	43

Stop Event

1×	node limit

Counts

3 → 249

Calls

Call 1

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

Outputs

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

simplify128.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

690×	`unswap-sqr_binary64`
480×	`fma-neg_binary64`
397×	`log-prod_binary64`
258×	`cube-prod_binary64`
186×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	520	5834
1	1299	5461
2	4446	5447

Stop Event

1×	node limit

Counts

287 → 329

Calls

Call 1

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

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

eval599.0ms (6.5%)

Compiler: Compiled 24135 to 17042 computations (29.4% saved)

prune268.0ms (2.9%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1181	6	1187
Fresh	2	2	4
Picked	1	0	1
Done	2	4	6
Total	1186	12	1198

Error

Counts

1198 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	51.8b	(/.f64 (.f64 (+.f64 a -1/3) (.f64 1/3 rand)) (sqrt.f64 a))
✓	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	19.4b	(-.f64 a 1/3)
▶	45.0b	(.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (.f64 1/3 rand))
	0.6b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))
▶	0.6b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))
✓	0.1b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
▶	51.8b	(.f64 (.f64 rand (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a)))
▶	44.5b	(.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
▶	51.8b	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 1/3 (*.f64 a rand)))
✓	44.8b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	20.3b	a

Compiler

Compiled 220 to 170 computations (22.7% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 41 to 25 computations (39% saved)

series5.0ms (0.1%)

Counts

3 → 26

Calls

15 calls:

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

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`prod-diff_binary64`
559×	`log-prod_binary64`
395×	`fma-def_binary64`
306×	`pow2_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	246	31
2	3368	31

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

Outputs

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

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

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

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

484×	`associate-/l*_binary64`
396×	`cancel-sign-sub-inv_binary64`
232×	`times-frac_binary64`
228×	`associate-/r*_binary64`
213×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	3637
1	958	3315
2	3386	3286

Stop Event

1×	node limit

Counts

192 → 236

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

series4.0ms (0%)

Counts

2 → 20

Calls

9 calls:

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

rewrite47.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`pow1_binary64`
852×	`add-log-exp_binary64`
852×	`log1p-expm1-u_binary64`
852×	`expm1-log1p-u_binary64`
835×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	192	21
2	2301	21

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

895×	`fma-def_binary64`
746×	`distribute-rgt-in_binary64`
725×	`distribute-lft-in_binary64`
502×	`times-frac_binary64`
359×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	684
1	274	646
2	979	608
3	3257	586

Stop Event

1×	node limit

Counts

44 → 67

Calls

Call 1

Inputs
(*.f64 1/3 (sqrt.f64 -1/3))
(+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 1/3 (sqrt.f64 -1/3)))))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(pow.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 2)
(sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (+.f64 a -1/3))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (log.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(-.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(pow.f64 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)
(pow.f64 (sqrt.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)
(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (+.f64 a -1/3))) rand))
(cbrt.f64 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3) (pow.f64 rand 3)))
(cbrt.f64 (.f64 (pow.f64 rand 3) (pow.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3)))
(expm1.f64 (log1p.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(log1p.f64 (expm1.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(exp.f64 (log.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) 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 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 a (sqrt.f64 -1/3)))) (.f64 1/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(fma.f64 1/3 (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (*.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)))))
(fma.f64 1/3 (sqrt.f64 -1/3) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 (.f64 a -1/24) -1/3))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 1/3 (sqrt.f64 -1/3)))))
(fma.f64 -1/24 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 1/3 (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3))) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (sqrt.f64 -1/3) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 (.f64 a -1/24) -1/3)))))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand)))
(*.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 a (/.f64 (sqrt.f64 -1/3) 1/6))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)))))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 1/8 (/.f64 (.f64 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 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a))) rand)))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 (.f64 a -1/24) -1/3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (.f64 1/8 (/.f64 (.f64 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 1/8 (/.f64 a (/.f64 (/.f64 (sqrt.f64 -1/3) a) rand)) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 (.f64 a -1/24) -1/3)))) (.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(-.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 2)
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) 1/9))
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(sqrt.f64 (fma.f64 a 1/9 -1/27))
(log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(cbrt.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3))
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(log1p.f64 (expm1.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (log.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(-.f64 (+.f64 1 (.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 (.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 (pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) 1/3)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(pow.f64 (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 (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))
(sqrt.f64 (.f64 (.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))
(sqrt.f64 (.f64 (.f64 (*.f64 rand rand) (+.f64 -1/3 a)) 1/9))
(sqrt.f64 (.f64 rand (.f64 rand (+.f64 -1/27 (*.f64 a 1/9)))))
(sqrt.f64 (.f64 (.f64 rand rand) (fma.f64 a 1/9 -1/27)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (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 (pow.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))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3) (pow.f64 rand 3)))
(.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 rand 3) (pow.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(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))
(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))
(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))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (/.f64 1 a))
✓	0.3b	(.f64 1/3 (.f64 a rand))
✓	9.4b	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 1/3 (*.f64 a rand)))

Compiler

Compiled 31 to 18 computations (41.9% saved)

series7.0ms (0.1%)

Counts

2 → 12

Calls

12 calls:

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

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`pow1_binary64`
835×	`add-log-exp_binary64`
835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
817×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	203	19
2	2363	19

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

749×	`distribute-rgt-in_binary64`
718×	`distribute-lft-in_binary64`
433×	`fma-def_binary64`
379×	`log-prod_binary64`
372×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	509
1	168	440
2	705	371
3	3123	371

Stop Event

1×	node limit

Counts

37 → 36

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 rand (+.f64 a -1/3))
	0.4b	(/.f64 1/3 (sqrt.f64 a))
✓	9.4b	(.f64 (.f64 rand (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a)))

Compiler

Compiled 30 to 18 computations (40% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`log-prod_binary64`
394×	`pow-prod-down_binary64`
281×	`pow2_binary64`
221×	`prod-diff_binary64`
199×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	226	15
2	2993	15

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 rand -1/3) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand a)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 a) (*.f64 rand (*.f64 (+.f64 a -1/3) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) 1/3)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) 1/3))) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) 1/3)) 1) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) 1/3)) (cbrt.f64 a)) (pow.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) 1/3)) (pow.f64 a 1/4)) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (*.f64 rand (+.f64 a -1/3))) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) -1/3) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) (*.f64 rand (*.f64 (+.f64 a -1/3) 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand a) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a)) (*.f64 (*.f64 rand -1/3) (/.f64 1/3 (sqrt.f64 a))))))))

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

698×	`log-prod_binary64`
660×	`associate-l_binary64`
612×	`associate-r_binary64`
315×	`times-frac_binary64`
279×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	785
1	285	762
2	982	674
3	6810	674

Stop Event

1×	node limit

Counts

47 → 47

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 18 computations (40% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

9 calls:

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

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`log-prod_binary64`
400×	`exp-prod_binary64`
347×	`pow-prod-down_binary64`
276×	`pow2_binary64`
195×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	220	24
2	2866	24

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)))) 2)) (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) a)) (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))) (sqrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/3 (neg.f64 a)) (/.f64 1 (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (+.f64 a -1/3) (pow.f64 a 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 a)) (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 a 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/4) (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) (+.f64 a -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 a 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 a) (+.f64 a -1/3)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 a -1/3) (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 a 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (/.f64 (+.f64 a -1/3) (sqrt.f64 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 a) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand))) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) 1) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (cbrt.f64 a)) (pow.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (pow.f64 a 1/4)) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/3 (neg.f64 a)) (*.f64 1/3 rand)) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 rand) (+.f64 1/3 (neg.f64 a))) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) 2) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a))))) 2)) (cbrt.f64 (log.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a)))))) (sqrt.f64 (log.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) 2) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (/.f64 (+.f64 a -1/3) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 a -1/3) 1/3) (sqrt.f64 a)))) 1) 1))))))

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

651×	`associate-/l*_binary64`
605×	`times-frac_binary64`
413×	`fma-def_binary64`
405×	`unswap-sqr_binary64`
400×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	1453
1	516	1423
2	1811	1319

Stop Event

1×	node limit

Counts

94 → 112

Calls

Call 1

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

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

eval233.0ms (2.5%)

Compiler: Compiled 11543 to 8208 computations (28.9% saved)

prune135.0ms (1.5%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	692	9	701
Fresh	2	1	3
Picked	1	0	1
Done	4	4	8
Total	699	14	713

Error

Counts

713 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	51.8b	(/.f64 (.f64 rand (+.f64 a -1/3)) (.f64 (sqrt.f64 a) 3))
	51.8b	(/.f64 (.f64 a (.f64 rand 1/3)) (sqrt.f64 a))
✓	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	19.4b	(-.f64 a 1/3)
	51.8b	(.f64 (pow.f64 a -1/2) (.f64 1/3 (*.f64 a rand)))
✓	0.6b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))
	51.8b	(.f64 (.f64 a rand) (/.f64 1/3 (sqrt.f64 a)))
✓	44.5b	(.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
	44.5b	(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
	44.5b	(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
	45.0b	(.f64 rand (/.f64 (.f64 1/3 a) (sqrt.f64 a)))
	45.0b	(.f64 a (.f64 rand (/.f64 1/3 (sqrt.f64 a))))
	45.2b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
	20.3b	a

Compiler

Compiled 137 to 103 computations (24.8% saved)

regimes75.0ms (0.8%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	(-.f64 a (/.f64 1 3))
16.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
16.0ms	a
15.0ms	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 421 to 299 computations (29% saved)

regimes34.0ms (0.4%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	rand
13.0ms	a

Results

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

Compiler

Compiled 266 to 177 computations (33.5% saved)

regimes32.0ms (0.3%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	rand
13.0ms	a

Results

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

Compiler

Compiled 238 to 155 computations (34.9% saved)

regimes31.0ms (0.3%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	rand
12.0ms	a

Results

Error	Segments	Branch
0.6b	1	`a`
0.6b	1	`rand`

Compiler

Compiled 213 to 136 computations (36.2% saved)

regimes28.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	a
11.0ms	rand

Results

Error	Segments	Branch
0.6b	1	`a`
0.6b	1	`rand`

Compiler

Compiled 189 to 119 computations (37% saved)

regimes24.0ms (0.3%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	rand
9.0ms	a

Results

Error	Segments	Branch
0.6b	1	`a`
0.6b	1	`rand`

Compiler

Compiled 165 to 104 computations (37% saved)

regimes73.0ms (0.8%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	a
25.0ms	rand

Results

Error	Segments	Branch
16.3b	5	`a`
5.5b	3	`rand`

Compiler

Compiled 153 to 96 computations (37.3% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	4.681614308569717e+93	1.1048006161262583e+101
15.0ms	-1.2767547329096607e+94	-1.9670168118942238e+93

Results

37.0ms

240×

body

256

valid

Compiler

Compiled 282 to 233 computations (17.4% saved)

regimes41.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	a
15.0ms	rand

Results

Error	Segments	Branch
16.3b	5	`a`
5.5b	3	`rand`

Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	4.681614308569717e+93	1.1048006161262583e+101
15.0ms	-1.2767547329096607e+94	-1.9670168118942238e+93

Results

34.0ms

240×

body

256

valid

Compiler

Compiled 282 to 233 computations (17.4% saved)

regimes39.0ms (0.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	a
14.0ms	rand

Results

Error	Segments	Branch
16.3b	5	`a`
5.5b	3	`rand`

Compiler

Compiled 50 to 32 computations (36% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	4.681614308569717e+93	1.1048006161262583e+101
15.0ms	-1.2767547329096607e+94	-1.9670168118942238e+93

Results

33.0ms

240×

body

256

valid

Compiler

Compiled 282 to 233 computations (17.4% saved)

regimes35.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	a
13.0ms	rand

Results

Error	Segments	Branch
16.3b	5	`a`
5.7b	3	`rand`

Compiler

Compiled 42 to 26 computations (38.1% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	4.681614308569717e+93	1.1048006161262583e+101
14.0ms	-1.2767547329096607e+94	-1.9670168118942238e+93

Results

31.0ms

240×

body

256

valid

Compiler

Compiled 282 to 227 computations (19.5% saved)

regimes28.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

16.0ms	a
10.0ms	rand

Results

Error	Segments	Branch
16.3b	5	`a`
5.7b	3	`rand`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	4.681614308569717e+93	1.1048006161262583e+101
14.0ms	-1.2767547329096607e+94	-1.9670168118942238e+93

Results

32.0ms

240×

body

256

valid

Compiler

Compiled 282 to 233 computations (17.4% saved)

regimes30.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	a
10.0ms	rand

Results

Error	Segments	Branch
14.9b	7	`a`
6.1b	3	`rand`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	4.681614308569717e+93	1.1048006161262583e+101
14.0ms	-1.2767547329096607e+94	-1.9670168118942238e+93

Results

32.0ms

240×

body

256

valid

Compiler

Compiled 252 to 203 computations (19.4% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.8b remaining (-4.3%)

Threshold costs -0.8b (-4.3%)

Counts

2 → 1

Calls

Call 1

Inputs
a
(-.f64 a 1/3)

Outputs
(-.f64 a 1/3)

Calls

2 calls:

3.0ms	rand
3.0ms	a

Results

Error	Segments	Branch
19.4b	1	`a`
19.4b	1	`rand`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
10×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	353
1	115	353
2	116	353

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) (if (<=.f64 rand 4800000000000000208211025478172093151793407959769308696600514188813360701870469332518354026496) (-.f64 a 1/3) (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) (if (<=.f64 rand 4800000000000000208211025478172093151793407959769308696600514188813360701870469332518354026496) (-.f64 a 1/3) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) (if (<=.f64 rand 5500000000000000296471177979063621114882105791579620141489748174168924490622038114133845475328) (-.f64 a 1/3) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 a (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (if (<=.f64 rand 8000000000000000347018375796953488586322346599615514494334190314688934503117448887530590044160) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 4800000000000000208211025478172093151793407959769308696600514188813360701870469332518354026496) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 4800000000000000208211025478172093151793407959769308696600514188813360701870469332518354026496) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(-.f64 a 1/3)
a

Outputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
(*.f64 (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)) (+.f64 a -1/3))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))))
(.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))) (+.f64 a -1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))) -1/3)
(+.f64 -1/3 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) (if (<=.f64 rand 4800000000000000208211025478172093151793407959769308696600514188813360701870469332518354026496) (-.f64 a 1/3) (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (if (<=.f64 rand 4800000000000000208211025478172093151793407959769308696600514188813360701870469332518354026496) (+.f64 a -1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) (if (<=.f64 rand 4800000000000000208211025478172093151793407959769308696600514188813360701870469332518354026496) (-.f64 a 1/3) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (if (<=.f64 rand 4800000000000000208211025478172093151793407959769308696600514188813360701870469332518354026496) (+.f64 a -1/3) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/3))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) (if (<=.f64 rand 5500000000000000296471177979063621114882105791579620141489748174168924490622038114133845475328) (-.f64 a 1/3) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/3)) (if (<=.f64 rand 5500000000000000296471177979063621114882105791579620141489748174168924490622038114133845475328) (+.f64 a -1/3) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/3))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 a (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (if (<=.f64 rand 8000000000000000347018375796953488586322346599615514494334190314688934503117448887530590044160) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 a (.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (if (<=.f64 rand 8000000000000000347018375796953488586322346599615514494334190314688934503117448887530590044160) (+.f64 a -1/3) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 4800000000000000208211025478172093151793407959769308696600514188813360701870469332518354026496) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 4800000000000000208211025478172093151793407959769308696600514188813360701870469332518354026496) (+.f64 a -1/3) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 4800000000000000208211025478172093151793407959769308696600514188813360701870469332518354026496) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(if (<=.f64 rand -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (.f64 1/3 (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand 4800000000000000208211025478172093151793407959769308696600514188813360701870469332518354026496) (+.f64 a -1/3) (.f64 1/3 (.f64 rand (sqrt.f64 a)))))
(-.f64 a 1/3)
(+.f64 a -1/3)
a

Compiler

Compiled 266 to 201 computations (24.4% saved)

soundness233.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1035×	`fma-def_binary64`
742×	`fma-neg_binary64`
189×	`distribute-rgt-in_binary64`
173×	`cancel-sign-sub-inv_binary64`
157×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	32	21
2	82	19
3	203	19
4	510	19
5	968	19
6	1468	19
7	2419	19
8	3619	19
9	4100	19
10	4256	19
11	4295	19
12	4295	19
13	4848	19
14	4848	19

Stop Event

1×

saturated

Compiler

Compiled 345 to 296 computations (14.2% saved)

end130.0ms (1.4%)

Compiler: Compiled 240 to 172 computations (28.3% saved)