Details

analyze60.0ms (0.7%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 20 computations (13% saved)

sample1.5s (17.8%)

Results

1.3s	8256×	body	256	valid
98.0ms	562×	body	256	invalid
89.0ms	609×	body	256	infinite

Bogosity

preprocess199.0ms (2.3%)

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)

simplify110.0ms (1.3%)

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

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Error

0.1b

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 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 34 to 28 computations (17.6% saved)

localize45.0ms (0.5%)

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)
✓	0.2b	(/.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)

series19.0ms (0.2%)

Counts

4 → 42

Calls

18 calls:

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

rewrite72.0ms (0.8%)

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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simplify101.0ms (1.2%)

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))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series17.0ms (0.2%)

Counts

4 → 50

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(.f64 (+.f64 a -1/3) (+.f64 1 (/.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	@	inf	(/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))

rewrite112.0ms (1.3%)

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	41
1	315	40
2	4230	40

Stop Event

1×	node limit

Counts

4 → 208

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

Outputs
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((#(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 (/.f64 (.f64 (.f64 a a) 81) (fma.f64 a 9 3)) (/.f64 9 (fma.f64 a 9 3)))))) (#(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 (fma.f64 729 (pow.f64 a 3) -27) (/.f64 1 (-.f64 (fma.f64 (.f64 a a) 81 9) (.f64 a -27))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 a a) 81 -9) (/.f64 1 (fma.f64 a 9 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (fma.f64 a 9 -3)) (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 (.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 1 (/.f64 (-.f64 (fma.f64 (.f64 a a) 81 9) (.f64 a -27)) (fma.f64 729 (pow.f64 a 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a 9 3) (fma.f64 (.f64 a a) 81 -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 729 (pow.f64 a 3) -27) (-.f64 (fma.f64 (.f64 a a) 81 9) (.f64 a -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 729 (pow.f64 a 3) -27) (+.f64 9 (-.f64 (.f64 (.f64 a a) 81) (.f64 a -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 a a) 81 -9) (fma.f64 a 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 729 (pow.f64 a 3) -27)) (neg.f64 (-.f64 (fma.f64 (.f64 a a) 81 9) (.f64 a -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (.f64 a a) 81 -9)) (neg.f64 (fma.f64 a 9 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (.f64 (.f64 a a) 81)) (-.f64 -3 (.f64 a 9)))))) (#(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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 9 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 a -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a 9) 1 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a 9)) (pow.f64 (cbrt.f64 (.f64 a 9)) 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a 9)) 2) (cbrt.f64 (.f64 a 9)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 a) 3) (.f64 (sqrt.f64 a) 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 9 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 9 (sqrt.f64 a)) (sqrt.f64 a) -3)))))

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

291×	`fma-neg_binary64`
265×	`associate-l_binary64`
261×	`exp-prod_binary64`
260×	`associate-r_binary64`
253×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	542	4841
1	1381	4650
2	5136	4601

Stop Event

1×	node limit

Counts

258 → 317

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

eval356.0ms (4.1%)

Compiler: Compiled 15209 to 12050 computations (20.8% saved)

prune121.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	629	12	641
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	631	12	643

Error

Counts

643 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)) rand (+.f64 a -1/3))
	0.1b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	19.2b	(-.f64 a 1/3)
	0.1b	(+.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 -1/3 a))))
	37.6b	(+.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))))
	0.1b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
▶	1.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
▶	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))
▶	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))
▶	49.3b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
	44.2b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	19.7b	a

Compiler

Compiled 345 to 272 computations (21.2% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))
✓	0.1b	(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
✓	0.2b	(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
✓	0.5b	(/.f64 1 (-.f64 (*.f64 9 a) 3))

Compiler

Compiled 72 to 58 computations (19.4% saved)

series9.0ms (0.1%)

Counts

4 → 38

Calls

18 calls:

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

rewrite94.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`log-prod_binary64`
611×	`prod-diff_binary64`
488×	`fma-def_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	336	44
2	4355	44

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

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

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

simplify124.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

525×	`times-frac_binary64`
318×	`cancel-sign-sub-inv_binary64`
276×	`associate-r_binary64`
275×	`associate-l_binary64`
239×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	509	4848
1	1330	4435
2	4759	4414

Stop Event

1×	node limit

Counts

221 → 310

Calls

Call 1

Inputs
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (.f64 -1 a)) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (+.f64 (.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (.f64 rand (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(sqrt.f64 -1/3)
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3))))))
(.f64 -1/3 (+.f64 1 (.f64 rand (sqrt.f64 -1/3))))
(+.f64 (.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))
(+.f64 (.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 0 (/.f64 1 (fma.f64 9 a -3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 9 a -3)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 9 a -3)))
(*.f64 (/.f64 1 (fma.f64 9 a -3)) 1)
(*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -2)))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -2)) (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 9 a -3))))
(.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) -1))
(.f64 (/.f64 1 (fma.f64 729 (pow.f64 a 3) -27)) (fma.f64 81 (.f64 a a) (fma.f64 a 27 9)))
(.f64 (/.f64 1 (fma.f64 81 (.f64 a a) -9)) (fma.f64 9 a 3))
(.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (/.f64 1 (cbrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))
(pow.f64 (fma.f64 9 a -3) -1)
(pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1)
(pow.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 2)
(pow.f64 (pow.f64 (fma.f64 9 a -3) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) 3)
(sqrt.f64 (pow.f64 (fma.f64 9 a -3) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 9 a -3)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 9 a -3))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 9 a -3))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 9 a -3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 9 a -3))) 1))
(+.f64 0 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))
(-.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 1)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)
(pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 3)
(pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 2)
(pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2))
(log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))
(expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1))
(fma.f64 1 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1)
(fma.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 2)) (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (sqrt.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 1 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1)) -1)
(fma.f64 (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2)) (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) -1)
(+.f64 0 (pow.f64 (fma.f64 9 a -3) -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3)))))
(*.f64 (pow.f64 1 1/2) (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) 1/2))
(/.f64 1 (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) 1))
(/.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (fma.f64 9 a -3))))
(pow.f64 (fma.f64 9 a -3) -1/2)
(pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/2)
(pow.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 1)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) 3)
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) 2)
(pow.f64 (sqrt.f64 (fma.f64 9 a -3)) -1)
(fabs.f64 (pow.f64 (fma.f64 9 a -3) -1/2))
(log.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 9 a -3) -1/2))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 9 a -3))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 9 a -3))) 1/2))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 9 a -3))) 1))
(+.f64 a (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))
(+.f64 -1/3 (+.f64 a (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))
(+.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(+.f64 (+.f64 a -1/3) (.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))
(+.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (.f64 a (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(+.f64 (.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (.f64 a (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(+.f64 (.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a) (.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3))
(+.f64 (.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3) (.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) 1)
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1)))
(/.f64 (.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (.f64 (+.f64 a 1/3) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1)))
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2))) (.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (.f64 (fma.f64 a a -1/9) (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2))) (.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (.f64 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2)) (+.f64 -1/27 (pow.f64 a 3))) (.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (fma.f64 a a -1/9)) (.f64 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1) (+.f64 a 1/3)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2)) (fma.f64 a a -1/9)) (.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a 1/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (.f64 (+.f64 a -1/3) (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))) (-.f64 (+.f64 a -1/3) (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (-.f64 (fma.f64 a a 1/9) (.f64 a -1/3)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (+.f64 a 1/3))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 a -1/3)) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2)) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1))
(/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (.f64 a -1/3)))
(/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -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 9 a -3) -1/2) 1)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))
(log.f64 (.f64 (exp.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (exp.f64 (+.f64 a -1/3))))
(log.f64 (.f64 (exp.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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 9 a -3) -1/2) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (log.f64 (+.f64 a -1/3))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (log.f64 (+.f64 a -1/3))) 1))
(fma.f64 1 a (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(fma.f64 1 (+.f64 a -1/3) (.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))
(fma.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 a 1 (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))
(fma.f64 a (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(fma.f64 rand (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3) (+.f64 a -1/3))
(fma.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(fma.f64 (+.f64 a -1/3) 1 (.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))
(fma.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(fma.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3))
(fma.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2)) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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 9 a -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 9 a -3))) (+.f64 a -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))
(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 9 a -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 9 a -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 9 a -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 9 a -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 9 a -3))) (+.f64 a -1/3))))
(fma.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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 9 a -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 9 a -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 9 a -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 9 a -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 9 a -3)))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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 9 a -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 9 a -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 9 a -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 9 a -3))) (+.f64 a -1/3)) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (cbrt.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))) (cbrt.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (sqrt.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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 9 a -3))))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 a -1/3))
(fma.f64 (.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (+.f64 a -1/3))) (.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 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 (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))

Outputs
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(fma.f64 -1 a -1/3)
(-.f64 -1/3 a)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (.f64 -1 a)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 a a) (neg.f64 a)) -1/3)
(fma.f64 -3 (*.f64 a a) (fma.f64 -1 a -1/3))
(fma.f64 -3 (*.f64 a a) (-.f64 -1/3 a))
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (+.f64 (.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(+.f64 (fma.f64 -3 (*.f64 a a) (fma.f64 -9 (pow.f64 a 3) (neg.f64 a))) -1/3)
(+.f64 -1/3 (-.f64 (fma.f64 -3 (.f64 a a) (.f64 -9 (pow.f64 a 3))) a))
(+.f64 (fma.f64 -9 (pow.f64 a 3) (neg.f64 a)) (fma.f64 (*.f64 -3 a) a -1/3))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/9 a))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/243 (pow.f64 a 4)))))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/9 a))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/243 (pow.f64 a 4)))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)) (.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 (.f64 a rand) (sqrt.f64 -1/3)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (.f64 (.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 -1/2 (.f64 (.f64 a a) (.f64 rand (+.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 (.f64 a rand) (sqrt.f64 -1/3)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (.f64 (.f64 a a) rand))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 -1/2 (.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 a (.f64 a rand))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 (.f64 -1/2 (.f64 (pow.f64 a 3) rand)) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)) (sqrt.f64 -1/3)))))
(sqrt.f64 -1/3)
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))))
(fma.f64 -1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3)))))
(+.f64 (sqrt.f64 -1/3) (.f64 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (.f64 a a))))))
(fma.f64 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (.f64 a a))) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (/.f64 (pow.f64 a 3) (/.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 (sqrt.f64 -1/3) (.f64 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 a a)))))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 3) (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 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a a))) (sqrt.f64 -1/3)))
(.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 (.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) 1/6) (/.f64 (sqrt.f64 -1/3) rand))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(+.f64 (.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a (fma.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (fma.f64 (.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (.f64 -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 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand) (/.f64 1/6 (/.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)))) (fma.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) 1/6) (/.f64 (sqrt.f64 -1/3) rand))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
a
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 -1/3 a))) 1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 -1/3 a))) 1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 -1/3 a))) 1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 rand (+.f64 -1/3 a)))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 -1/3 a))) 1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 -1/3 a))) 1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 -1/3 a))) 1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 rand (+.f64 -1/3 a)))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 -1/3 a))) 1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 -1/3 a))) 1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 -1/3 a))) 1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(+.f64 0 (/.f64 1 (fma.f64 9 a -3)))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 9 a -3)))) 1)
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(*.f64 1 (/.f64 1 (fma.f64 9 a -3)))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(*.f64 (/.f64 1 (fma.f64 9 a -3)) 1)
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (pow.f64 (fma.f64 9 a -3) -1/2))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)) (cbrt.f64 (fma.f64 a 9 -3)))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (pow.f64 (fma.f64 9 a -3) -1/2)))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) (pow.f64 (fma.f64 9 a -3) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 4) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -2)) (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)) (cbrt.f64 (fma.f64 a 9 -3)))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (pow.f64 (fma.f64 9 a -3) -1/2)))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 9 a -3))))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) -1))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(.f64 (/.f64 1 (fma.f64 729 (pow.f64 a 3) -27)) (fma.f64 81 (.f64 a a) (fma.f64 a 27 9)))
(/.f64 (fma.f64 81 (*.f64 a a) (fma.f64 a 27 9)) (fma.f64 729 (pow.f64 a 3) -27))
(.f64 (/.f64 1 (fma.f64 81 (.f64 a a) -9)) (fma.f64 9 a 3))
(/.f64 (fma.f64 a 9 3) (fma.f64 81 (*.f64 a a) -9))
(.f64 (.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (/.f64 1 (cbrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) (pow.f64 (fma.f64 9 a -3) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 4) (cbrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (fma.f64 9 a -3) -1)
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1)
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(pow.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 2)
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(pow.f64 (pow.f64 (fma.f64 9 a -3) -2) 1/2)
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 3) 1/3)
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) 3)
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(sqrt.f64 (pow.f64 (fma.f64 9 a -3) -2))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3))))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 9 a -3)))))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 3))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 9 a -3))))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 9 a -3))))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(exp.f64 (neg.f64 (log.f64 (fma.f64 9 a -3))))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) -1))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 9 a -3))) 1))
(/.f64 1 (fma.f64 9 a -3))
(/.f64 1 (fma.f64 a 9 -3))
(+.f64 0 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
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(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(fma.f64 (sqrt.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (sqrt.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (+.f64 a -1/3))
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (+.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 9 a -3))))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 a -1/3))
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (+.f64 a -1/3))) (.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(fma.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3))
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 -1/3 a))) 1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3))
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 -1/3 a))) 1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 -1/3 a))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2)) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 -1/3 a)) (+.f64 -1/3 a))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 2)) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 -1/3 a)) (+.f64 -1/3 a))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3))
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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 9 a -3))) 1) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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 9 a -3))) 1) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite47.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`pow1_binary64`
475×	`add-sqr-sqrt_binary64`
452×	`add-log-exp_binary64`
452×	`log1p-expm1-u_binary64`
452×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	93	4
2	1165	4

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(-.f64 a 1/3)

Outputs

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

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

637×	`fma-neg_binary64`
401×	`fma-def_binary64`
392×	`distribute-rgt-in_binary64`
364×	`distribute-lft-in_binary64`
298×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	268
1	162	228
2	490	228
3	2820	223
4	7999	223

Stop Event

1×	node limit

Counts

33 → 35

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series35.0ms (0.4%)

Counts

4 → 38

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	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 rand (sqrt.f64 (*.f64 a 9)))
1.0ms	rand	@	inf	(/.f64 rand (sqrt.f64 (*.f64 a 9)))

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`log-prod_binary64`
585×	`prod-diff_binary64`
352×	`fma-def_binary64`
225×	`pow1/3_binary64`
222×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	265	36
2	3601	36

Stop Event

1×	node limit

Counts

4 → 211

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

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

simplify135.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

426×	`cancel-sign-sub-inv_binary64`
253×	`associate-l_binary64`
239×	`associate-r_binary64`
214×	`log-prod_binary64`
185×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	454	4168
1	1124	3972
2	4461	3935

Stop Event

1×	node limit

Counts

249 → 301

Calls

Call 1

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 a 1/3) rand)
	0.1b	(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
	0.5b	(/.f64 1 (-.f64 (*.f64 9 a) 3))
✓	7.2b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))

Compiler

Compiled 53 to 41 computations (22.6% saved)

series8.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log-prod_binary64`
364×	`pow2_binary64`
254×	`pow1/3_binary64`
252×	`expm1-udef_binary64`
252×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	26
1	306	23
2	3706	23

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

643×	`fma-def_binary64`
520×	`distribute-rgt-in_binary64`
512×	`distribute-lft-in_binary64`
357×	`log-prod_binary64`
314×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	1038
1	403	992
2	1377	988
3	7124	988

Stop Event

1×	node limit

Counts

69 → 87

Calls

Call 1

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

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

localize29.0ms (0.3%)

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 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))
✓	0.2b	(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)
✓	0.4b	(pow.f64 (fma.f64 a 9 -3) -1/2)

Compiler

Compiled 54 to 42 computations (22.2% saved)

series11.0ms (0.1%)

Counts

4 → 58

Calls

18 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`log-prod_binary64`
569×	`prod-diff_binary64`
394×	`fma-def_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	306	42
2	3763	42

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

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

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

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

604×	`times-frac_binary64`
344×	`cancel-sign-sub-inv_binary64`
254×	`associate-l_binary64`
246×	`associate-r_binary64`
238×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	487	5192
1	1285	4896
2	4446	4341

Stop Event

1×	node limit

Counts

222 → 312

Calls

Call 1

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

eval538.0ms (6.3%)

Compiler: Compiled 26346 to 20418 computations (22.5% saved)

prune340.0ms (3.9%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1148	11	1159
Fresh	3	4	7
Picked	1	0	1
Done	2	2	4
Total	1154	17	1171

Error

Counts

1171 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 rand 3) (+.f64 a -1/3))
▶	49.4b	(/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 (.f64 a a) (-.f64 1/9 (.f64 a -1/3))))
	42.6b	(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
▶	0.1b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	19.2b	(-.f64 a 1/3)
	1.1b	(+.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (/.f64 rand 3))) (+.f64 a -1/3))
	49.3b	(.f64 (+.f64 (.f64 rand a) (.f64 rand -1/3)) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
▶	1.1b	(.f64 (+.f64 a -1/3) (+.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1))
	0.1b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
	1.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (.f64 (sqrt.f64 a) 3))))
	1.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1/9 a)))))
✓	49.3b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
	50.3b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
▶	50.3b	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 (*.f64 1/3 rand) (+.f64 a -1/3)))
▶	44.2b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	19.7b	a
	63.0b	-1/3

Compiler

Compiled 399 to 310 computations (22.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 34 computations (29.2% saved)

series14.0ms (0.2%)

Counts

3 → 12

Calls

15 calls:

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

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`pow1_binary64`
801×	`add-log-exp_binary64`
801×	`log1p-expm1-u_binary64`
801×	`expm1-log1p-u_binary64`
785×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	174	27
2	2153	27

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

673×	`times-frac_binary64`
502×	`log-prod_binary64`
385×	`fma-def_binary64`
314×	`associate-/l/_binary64`
312×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	1002
1	384	866
2	1387	742
3	4943	708

Stop Event

1×	node limit

Counts

58 → 116

Calls

Call 1

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

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

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (/.f64 1 a))
✓	0.2b	(.f64 (.f64 1/3 rand) (+.f64 a -1/3))
✓	0.4b	(*.f64 1/3 rand)
✓	7.2b	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 (*.f64 1/3 rand) (+.f64 a -1/3)))

Compiler

Compiled 39 to 28 computations (28.2% saved)

series10.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

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

rewrite91.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

605×	`log-prod_binary64`
445×	`pow-prod-down_binary64`
321×	`prod-diff_binary64`
311×	`pow2_binary64`
221×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	260	33
2	3305	33

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

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

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

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

534×	`associate-/l*_binary64`
454×	`times-frac_binary64`
263×	`associate-*l/_binary64`
239×	`associate-/r*_binary64`
229×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	2092
1	798	2015
2	2786	1940

Stop Event

1×	node limit

Counts

179 → 192

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 22 computations (47.6% saved)

series33.0ms (0.4%)

Counts

3 → 38

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	a	@	inf	(.f64 (+.f64 a -1/3) (+.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1))
1.0ms	a	@	-inf	(.f64 (+.f64 a -1/3) (+.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1))
1.0ms	a	@	-inf	(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
0.0ms	a	@	-inf	(/.f64 rand (sqrt.f64 a))
0.0ms	rand	@	-inf	(/.f64 rand (sqrt.f64 a))

rewrite100.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`log-prod_binary64`
543×	`prod-diff_binary64`
325×	`pow2_binary64`
308×	`fma-def_binary64`
228×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	267	31
2	3587	31

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 a)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 a)) 1) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) (*.f64 -1/3 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) (*.f64 a (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) a) (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) -1/3) (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 1/3 (+.f64 a -1/3)) a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 1/3 (+.f64 a -1/3)) -1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) (+.f64 a -1/3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 1)) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (-.f64 (fma.f64 1/9 (/.f64 (*.f64 rand rand) a) 1) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 1)) (*.f64 (+.f64 a 1/3) (-.f64 (fma.f64 1/9 (/.f64 (*.f64 rand rand) a) 1) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 1/9 (/.f64 (*.f64 rand rand) a) -1)) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 1/9 (/.f64 (*.f64 rand rand) a) -1)) (*.f64 (+.f64 a 1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

639×	`times-frac_binary64`
624×	`unswap-sqr_binary64`
235×	`log-prod_binary64`
231×	`cancel-sign-sub-inv_binary64`
173×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	3491
1	985	3080
2	3387	3064

Stop Event

1×	node limit

Counts

194 → 237

Calls

Call 1

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

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

localize43.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a a) (-.f64 1/9 (.f64 a -1/3)))
✓	0.0b	(-.f64 1/9 (*.f64 a -1/3))
✓	0.3b	(*.f64 a -1/3)
✓	35.4b	(/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 (.f64 a a) (-.f64 1/9 (.f64 a -1/3))))

Compiler

Compiled 50 to 34 computations (32% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 (.f64 a a) (-.f64 1/9 (.f64 a -1/3))))
1.0ms	a	@	0	(/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 (.f64 a a) (-.f64 1/9 (.f64 a -1/3))))
1.0ms	a	@	-inf	(/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 (.f64 a a) (-.f64 1/9 (.f64 a -1/3))))
0.0ms	a	@	-inf	(*.f64 a -1/3)
0.0ms	a	@	inf	(*.f64 a -1/3)

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`log-prod_binary64`
412×	`fma-def_binary64`
364×	`pow2_binary64`
249×	`pow1/3_binary64`
247×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	308	42
2	4078	36

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (/.f64 1 (neg.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (+.f64 (pow.f64 a 3) -1/27))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 a a (fma.f64 a 1/3 1/9))) 2)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (cbrt.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 2) (pow.f64 (cbrt.f64 (fma.f64 a a (fma.f64 a 1/3 1/9))) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (pow.f64 (cbrt.f64 (fma.f64 a a (fma.f64 a 1/3 1/9))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 a (sqrt.f64 (fma.f64 a 1/3 1/9)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (hypot.f64 a (sqrt.f64 (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 2) (hypot.f64 a (sqrt.f64 (fma.f64 a 1/3 1/9)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (hypot.f64 a (sqrt.f64 (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 (pow.f64 a 6) (pow.f64 (fma.f64 a 1/3 1/9) 3))) (fma.f64 (fma.f64 a 1/3 1/9) (-.f64 (fma.f64 a 1/3 1/9) (.f64 a a)) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (-.f64 (pow.f64 a 4) (pow.f64 (fma.f64 a 1/3 1/9) 2))) (+.f64 (fma.f64 a a -1/9) (.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (+.f64 (pow.f64 a 3) -1/27)) -1)))) 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(.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/3 1/9))) (+.f64 1 (expm1.f64 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 a a 1/9)) (exp.f64 (.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 a a 1/9)) (/.f64 1 (pow.f64 (exp.f64 -1/3) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a a (fma.f64 a 1/3 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (fma.f64 a 1/3 1/9))))) (#(struct:change #<rule egg-rr> (2) 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2) (fma.f64 a 1/3 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 a 1/3 1/9)) (sqrt.f64 (fma.f64 a 1/3 1/9)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (pow.f64 a 3/2) (fma.f64 a 1/3 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/729 (.f64 (pow.f64 a 3) -1/27)) (/.f64 1 (fma.f64 (.f64 a -1/3) (fma.f64 a -1/3 1/9) 1/81)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/81 (.f64 (.f64 a a) 1/9)) (/.f64 1 (fma.f64 a -1/3 1/9)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (fma.f64 a 1/3 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a a 1/9)) 2) (cbrt.f64 (fma.f64 a a 1/9)) (.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 a a 1/9)) (sqrt.f64 (fma.f64 a a 1/9)) (.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (fma.f64 a 1/3 1/9))))))

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

660×	`associate-/l*_binary64`
368×	`cancel-sign-sub-inv_binary64`
284×	`fma-neg_binary64`
267×	`log-prod_binary64`
219×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	379	2773
1	906	2530
2	3360	2515

Stop Event

1×	node limit

Counts

214 → 223

Calls

Call 1

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

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

eval431.0ms (5%)

Compiler: Compiled 18448 to 12969 computations (29.7% saved)

prune260.0ms (3%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	993	7	1000
Fresh	6	4	10
Picked	1	0	1
Done	2	4	6
Total	1002	15	1017

Error

Counts

1017 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.4b	(/.f64 (-.f64 1/27 (pow.f64 a 3)) (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a))))
▶	50.3b	(/.f64 (.f64 1/3 (.f64 rand (+.f64 a -1/3))) (sqrt.f64 a))
	45.2b	(/.f64 1/3 (/.f64 (/.f64 (sqrt.f64 a) (+.f64 a -1/3)) rand))
▶	45.2b	(/.f64 1/3 (/.f64 (/.f64 (sqrt.f64 a) rand) (+.f64 a -1/3)))
▶	1.1b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
✓	19.2b	(-.f64 a 1/3)
	49.3b	(.f64 (+.f64 (.f64 rand a) (.f64 rand -1/3)) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
✓	1.1b	(.f64 (+.f64 a -1/3) (+.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1))
	1.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1/9 a)))))
✓	49.3b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
	44.2b	(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
✓	44.2b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶	45.1b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
	19.7b	a
	63.0b	-1/3

Compiler

Compiled 277 to 215 computations (22.4% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 15 computations (57.1% saved)

series8.0ms (0.1%)

Counts

3 → 15

Calls

18 calls:

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

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`fma-def_binary64`
494×	`log-prod_binary64`
367×	`exp-prod_binary64`
358×	`pow-prod-down_binary64`
270×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	207	28
2	2857	28

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) (pow.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 2) (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) (sqrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (/.f64 1 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (-.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9)) (neg.f64 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) (pow.f64 (+.f64 a -1/3) 3)) (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (neg.f64 (pow.f64 (+.f64 a -1/3) 2))) (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 2)) (cbrt.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (sqrt.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) (exp.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 a -1/3)) (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 rand 1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 rand 1/3) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) rand) 1/3 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) rand) 1/3 (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1 (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1 -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a (*.f64 rand rand))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) 1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a (*.f64 rand rand))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) 1/3) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) 1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) 1/3) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 1/4) (pow.f64 a 3/4) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (*.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (neg.f64 (*.f64 a a))) (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 a)) rand (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 a)) rand (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/4) (pow.f64 a 1/4) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 rand) (sqrt.f64 a) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 rand) (sqrt.f64 a) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (cbrt.f64 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (cbrt.f64 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) 1) rand (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) 1) rand (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) (sqrt.f64 rand)) (sqrt.f64 rand) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) (sqrt.f64 rand)) (sqrt.f64 rand) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 5/6) (pow.f64 a 1/6) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))))

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

608×	`distribute-rgt-in_binary64`
561×	`distribute-lft-in_binary64`
467×	`unswap-sqr_binary64`
220×	`fma-neg_binary64`
208×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	2682
1	800	2607
2	2362	2579

Stop Event

1×	node limit

Counts

167 → 194

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 7 computations (58.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 a -1/3)
✓	0.2b	(/.f64 (sqrt.f64 a) rand)
✓	0.4b	(/.f64 1/3 (/.f64 (/.f64 (sqrt.f64 a) rand) (+.f64 a -1/3)))
✓	8.8b	(/.f64 (/.f64 (sqrt.f64 a) rand) (+.f64 a -1/3))

Compiler

Compiled 33 to 16 computations (51.5% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

18 calls:

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`log-prod_binary64`
348×	`pow-prod-down_binary64`
296×	`pow2_binary64`
223×	`log-div_binary64`
207×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	232	33
2	3267	33

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

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

Outputs

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

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

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

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

817×	`fma-def_binary64`
534×	`unswap-sqr_binary64`
348×	`associate-/l/_binary64`
289×	`associate-/r/_binary64`
269×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	2375
1	767	2283
2	2973	2182

Stop Event

1×	node limit

Counts

165 → 186

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 a -1/3)
✓	0.0b	(*.f64 rand (+.f64 a -1/3))
✓	0.3b	(.f64 1/3 (.f64 rand (+.f64 a -1/3)))
✓	7.2b	(/.f64 (.f64 1/3 (.f64 rand (+.f64 a -1/3))) (sqrt.f64 a))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series5.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

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

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary64`
361×	`pow-prod-down_binary64`
284×	`pow2_binary64`
245×	`prod-diff_binary64`
201×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	226	32
2	3146	32

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

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

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

558×	`unswap-sqr_binary64`
494×	`associate-/l/_binary64`
263×	`log-prod_binary64`
255×	`associate-l_binary64`
249×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	2556
1	898	2508
2	3747	2490

Stop Event

1×	node limit

Counts

204 → 211

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

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1/3 a)
✓	0.0b	(+.f64 -1/9 (*.f64 a (-.f64 -1/3 a)))
✓	0.0b	(*.f64 a (-.f64 -1/3 a))
✓	35.4b	(/.f64 (-.f64 1/27 (pow.f64 a 3)) (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a))))

Compiler

Compiled 43 to 32 computations (25.6% saved)

series10.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(+.f64 -1/9 (*.f64 a (-.f64 -1/3 a)))
1.0ms	a	@	inf	(/.f64 (-.f64 1/27 (pow.f64 a 3)) (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a))))
1.0ms	a	@	0	(/.f64 (-.f64 1/27 (pow.f64 a 3)) (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a))))
1.0ms	a	@	-inf	(/.f64 (-.f64 1/27 (pow.f64 a 3)) (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a))))
0.0ms	a	@	0	(*.f64 a (-.f64 -1/3 a))

rewrite94.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log-prod_binary64`
394×	`prod-diff_binary64`
256×	`fma-def_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	291	36
2	3865	36

Stop Event

1×	node limit

Counts

4 → 255

Calls

Call 1

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

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

simplify137.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

531×	`fma-neg_binary64`
312×	`exp-prod_binary64`
308×	`log-prod_binary64`
187×	`times-frac_binary64`
184×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	618	9245
1	1512	6892
2	5470	6892

Stop Event

1×	node limit

Counts

303 → 324

Calls

Call 1

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

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

eval429.0ms (5%)

Compiler: Compiled 23792 to 16192 computations (31.9% saved)

prune225.0ms (2.6%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	1064	3	1067
Fresh	1	5	6
Picked	0	1	1
Done	2	6	8
Total	1067	15	1082

Error

Counts

1082 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	49.4b	(/.f64 (-.f64 1/27 (pow.f64 a 3)) (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a))))
	50.3b	(/.f64 (.f64 rand (.f64 a 1/3)) (sqrt.f64 a))
	50.3b	(/.f64 (.f64 a (.f64 1/3 rand)) (sqrt.f64 a))
✓	45.2b	(/.f64 1/3 (/.f64 (/.f64 (sqrt.f64 a) rand) (+.f64 a -1/3)))
✓	1.1b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
✓	19.2b	(-.f64 a 1/3)
	49.3b	(.f64 (+.f64 (.f64 rand a) (.f64 rand -1/3)) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
	1.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1/9 a)))))
	45.2b	(.f64 (+.f64 a -1/3) (.f64 1/3 (/.f64 rand (sqrt.f64 a))))
✓	49.3b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
	44.2b	(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
✓	44.2b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
✓	45.1b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
	19.7b	a
	63.0b	-1/3

Compiler

Compiled 158 to 122 computations (22.8% saved)

regimes114.0ms (1.3%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

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 (-.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))`
0.1b	1	`(-.f64 a (/.f64 1 3))`

Compiler

Compiled 486 to 355 computations (27% saved)

regimes38.0ms (0.4%)

Counts

27 → 1

Calls

Call 1

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

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
0.1b	1	`a`
0.1b	1	`rand`

Compiler

Compiled 277 to 190 computations (31.4% saved)

regimes25.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	a
10.0ms	rand

Results

Error	Segments	Branch
1.1b	1	`a`
1.1b	1	`rand`

Compiler

Compiled 181 to 118 computations (34.8% saved)

regimes52.0ms (0.6%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	a
17.0ms	rand

Results

Error	Segments	Branch
13.7b	6	`a`
3.8b	3	`rand`

Compiler

Compiled 71 to 46 computations (35.2% saved)

bsearch44.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	2.181628710801508e+69	1.3335169381543717e+81
20.0ms	-2.1129737666056754e+83	-3.8260795979522246e+79

Results

39.0ms

288×

body

256

valid

Compiler

Compiled 333 to 275 computations (17.4% saved)

regimes96.0ms (1.1%)

Counts

5 → 3

Calls

Call 1

Inputs
-1/3
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:

82.0ms	a
13.0ms	rand

Results

Error	Segments	Branch
13.7b	6	`a`
3.8b	3	`rand`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch44.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	2.181628710801508e+69	1.3335169381543717e+81
19.0ms	-2.1129737666056754e+83	-3.8260795979522246e+79

Results

40.0ms

288×

body

256

valid

Compiler

Compiled 333 to 275 computations (17.4% saved)

regimes171.0ms (2%)

Counts

4 → 3

Calls

Call 1

Inputs
-1/3
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:

121.0ms	a
49.0ms	rand

Results

Error	Segments	Branch
14.6b	6	`a`
4.7b	3	`rand`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch44.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	2.181628710801508e+69	1.3335169381543717e+81
20.0ms	-2.1129737666056754e+83	-3.8260795979522246e+79

Results

40.0ms

288×

body

256

valid

Compiler

Compiled 297 to 239 computations (19.5% saved)

regimes10.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(-.f64 a 1/3)

Calls

2 calls:

6.0ms	a
4.0ms	rand

Results

Error	Segments	Branch
19.2b	1	`a`
19.2b	1	`rand`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total -43.7b remaining (-221.6%)

Threshold costs -43.7b (-221.6%)

Counts

2 → 1

Calls

Call 1

Inputs
-1/3
a

Outputs
a

Calls

2 calls:

3.0ms	rand
3.0ms	a

Results

Error	Segments	Branch
19.7b	1	`a`
19.7b	1	`rand`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
7×	`+-commutative_binary64`
4×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	177
1	73	177
2	76	177

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 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 a) rand)) a) 1/3)
(if (<=.f64 rand -38999999999999997245930190936637087029238709764319467177275216942446835551698944) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) (if (<=.f64 rand 5199999999999999698353764330651748179343881336095363139875911071997525753856) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -339999999999999992192051664866659737883316087740800327016516568300681836242141184) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 1679999999999999908725593261668219702334031248358358101045305860886865379328) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -110000000000000001345674497036168837915117987345201293994133867705702625486831616) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 3800000000000000275619458249811093479401822756656783430969198590820352) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(-.f64 a 1/3)
a
-1/3

Outputs
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (+.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 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
(+.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 a)))) -1/3)
(+.f64 -1/3 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand -38999999999999997245930190936637087029238709764319467177275216942446835551698944) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) (if (<=.f64 rand 5199999999999999698353764330651748179343881336095363139875911071997525753856) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -38999999999999997245930190936637087029238709764319467177275216942446835551698944) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/3)) (if (<=.f64 rand 5199999999999999698353764330651748179343881336095363139875911071997525753856) (+.f64 a -1/3) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(if (<=.f64 rand -339999999999999992192051664866659737883316087740800327016516568300681836242141184) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 1679999999999999908725593261668219702334031248358358101045305860886865379328) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -339999999999999992192051664866659737883316087740800327016516568300681836242141184) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 1679999999999999908725593261668219702334031248358358101045305860886865379328) (+.f64 a -1/3) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(if (<=.f64 rand -110000000000000001345674497036168837915117987345201293994133867705702625486831616) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 3800000000000000275619458249811093479401822756656783430969198590820352) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(if (<=.f64 rand -110000000000000001345674497036168837915117987345201293994133867705702625486831616) (.f64 1/3 (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand 3800000000000000275619458249811093479401822756656783430969198590820352) (+.f64 a -1/3) (.f64 1/3 (.f64 rand (sqrt.f64 a)))))
(-.f64 a 1/3)
(+.f64 a -1/3)
a
-1/3

Compiler

Compiled 138 to 104 computations (24.6% saved)

soundness241.0ms (2.8%)

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 406 to 348 computations (14.3% saved)

end90.0ms (1%)

Compiler: Compiled 122 to 86 computations (29.5% saved)