Details

analyze67.0ms (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)

sample1.6s (17.5%)

Results

1.5s	8256×	body	256	valid
92.0ms	567×	body	256	invalid
72.0ms	595×	body	256	infinite

Bogosity

preprocess186.0ms (2%)

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)

simplify109.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

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)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
✓	0.2b	(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)
✓	0.3b	(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
✓	0.4b	(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))

Compiler

Compiled 67 to 54 computations (19.4% saved)

series31.0ms (0.3%)

Counts

4 → 42

Calls

18 calls:

Time	Variable		Point	Expression
17.0ms	a	@	-inf	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
1.0ms	rand	@	0	(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)
1.0ms	a	@	0	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
1.0ms	a	@	0	(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)
1.0ms	a	@	-inf	(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))

rewrite92.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 9 1/2) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a 9 -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -1/2 (log.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))) 1))))))
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simplify149.0ms (1.6%)

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))

localize23.0ms (0.2%)

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

Compiler

Compiled 57 to 44 computations (22.8% saved)

series12.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

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

rewrite89.0ms (1%)

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)))))

simplify129.0ms (1.4%)

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)

eval416.0ms (4.5%)

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

prune162.0ms (1.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	631	10	641
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	632	11	643

Error

Counts

643 → 11

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))
	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	17.8b	(-.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))))
▶	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (neg.f64 rand) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))))
▶	0.7b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand)))
▶	51.7b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
	46.2b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	18.5b	a

Compiler

Compiled 271 to 215 computations (20.7% saved)

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a 9 -3)
✓	0.1b	(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)) rand (+.f64 a -1/3))
✓	0.2b	(*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))
✓	0.4b	(pow.f64 (fma.f64 a 9 -3) -1/2)

Compiler

Compiled 46 to 35 computations (23.9% saved)

series12.0ms (0.1%)

Counts

4 → 46

Calls

15 calls:

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

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`log-prod_binary64`
396×	`exp-prod_binary64`
319×	`pow-prod-down_binary64`
316×	`pow2_binary64`
219×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	260	48
2	3000	48

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

690×	`unswap-sqr_binary64`
257×	`associate-/l*_binary64`
250×	`times-frac_binary64`
244×	`sqr-pow_binary64`
221×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	441	3475
1	1051	3283
2	3368	3087

Stop Event

1×	node limit

Counts

179 → 267

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 -1/3 (sqrt.f64 -1/3))
(+.f64 (.f64 -1/3 (sqrt.f64 -1/3)) (.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a))
(+.f64 (.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a)))
(+.f64 (.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a) (.f64 (+.f64 (.f64 1/6 (/.f64 (+.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)) (sqrt.f64 -1/3)))) (pow.f64 a 3)))))
(-.f64 (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3)
(-.f64 (+.f64 (.f64 a (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))) 1/3)
(-.f64 (+.f64 (.f64 a (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 2) rand)) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))) 1/3)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (+.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)) (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 3) rand)) (+.f64 (.f64 a (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 2) rand)) (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)))))) 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 (pow.f64 (fma.f64 a 9 -3) -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 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 (pow.f64 (fma.f64 a 9 -3) -1/6) (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (pow.f64 (fma.f64 a 9 -3) -1/6))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (pow.f64 (fma.f64 a 9 -3) -1/4))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1) (pow.f64 (fma.f64 a 9 -3) -1/6))
(sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 a 9 -3))) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 a 9 -3))) -1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -1/6)) 3))
(exp.f64 (.f64 (.f64 -1/4 (log.f64 (fma.f64 a 9 -3))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 9 -3)) 1) -1/2))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 9 -3)) -1/4) 2))
(+.f64 0 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))
(+.f64 (.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2)) (.f64 -1/3 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(+.f64 (.f64 -1/3 (pow.f64 (fma.f64 a 9 -3) -1/2)) (.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2)))
(+.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) a) (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3))
(+.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3) (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))) 1)
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (pow.f64 (fma.f64 a 9 -3) -1/2)) (-.f64 (fma.f64 a a 1/9) (.f64 a -1/3)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (pow.f64 (fma.f64 a 9 -3) -1/2)) (+.f64 a 1/3))
(/.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (.f64 a -1/3)))
(/.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)) 1)
(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (/.f64 1 (fma.f64 a 9 -3))) 1/2)
(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 a 9 -3) -3/2)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/6)) 3)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/4)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))) 2)) (cbrt.f64 (log.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))))) (sqrt.f64 (log.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (/.f64 1 (fma.f64 a 9 -3))))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 a 9 -3) -3/2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/6))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/4))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))) 1) 1))
(fma.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 -1/3 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) a (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3))
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) a))
(fma.f64 -1/3 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2)))
(+.f64 (+.f64 a -1/3) (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand)))
(+.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand)) (+.f64 a -1/3))
(+.f64 0 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)))
(+.f64 (.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand)) 1) (+.f64 a -1/3))
(+.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)
(+.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) -1/3) a)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)))) 1)
(.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)) 1)
(.f64 1 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))) 2) (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand)) 3) (pow.f64 (+.f64 a -1/3) 3)) (+.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand)) 2) (-.f64 (pow.f64 (+.f64 a -1/3) 2) (.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand)) (+.f64 a -1/3)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand)) 2) (pow.f64 (+.f64 a -1/3) 2)) (-.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand)) (+.f64 a -1/3)))
(pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)) 1)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)))))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand)))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand))) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))) 1) 1))
(+.f64 -3 (*.f64 a 9))
(+.f64 (*.f64 a 9) -3)
(+.f64 0 (fma.f64 a 9 -3))
(+.f64 (.f64 (.f64 a 9) 1) -3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3))) 2)) (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) (+.f64 (pow.f64 (.f64 a 9) 2) (-.f64 9 (.f64 (.f64 a 9) -3))))
(/.f64 (-.f64 (pow.f64 (*.f64 a 9) 2) 9) (fma.f64 a 9 3))
(pow.f64 (fma.f64 a 9 -3) 1)
(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)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 a 9 -3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 a 9 -3))) 2)) (cbrt.f64 (log.f64 (fma.f64 a 9 -3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (log.f64 (fma.f64 a 9 -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))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 a 9 -3))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a 9 -3))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 9 -3)) 1) 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))
(fma.f64 (*.f64 3/2 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 (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) (fma.f64 27/8 (.f64 (sqrt.f64 -1/3) (*.f64 a a)) (sqrt.f64 -1/3)))
(.f64 (sqrt.f64 -1/3) (+.f64 (.f64 3/2 a) (+.f64 (.f64 (.f64 27/8 a) a) 1)))
(+.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 (fma.f64 (.f64 3/2 a) (sqrt.f64 -1/3) (sqrt.f64 -1/3)) (.f64 (sqrt.f64 -1/3) (+.f64 (.f64 27/8 (.f64 a a)) (*.f64 135/16 (pow.f64 a 3)))))
(+.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 -1/3) (+.f64 (.f64 3/2 a) (.f64 (.f64 a a) (+.f64 27/8 (*.f64 135/16 a))))))
(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)))))
(+.f64 (.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) (.f64 (/.f64 (*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) a) (+.f64 (/.f64 1/24 a) 1/6)))
(+.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))) (.f64 (.f64 (/.f64 (pow.f64 a -1/2) a) (/.f64 (pow.f64 9 -1/2) a)) (+.f64 1/24 (/.f64 5/432 a))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))
(*.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2))
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(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)))
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(*.f64 -1/3 (sqrt.f64 -1/3))
(+.f64 (.f64 -1/3 (sqrt.f64 -1/3)) (.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a))
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(fma.f64 a (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) (*.f64 -1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a)))
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(fma.f64 -1/3 (sqrt.f64 -1/3) (fma.f64 (-.f64 (/.f64 (.f64 1/6 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3)) (/.f64 1/2 (sqrt.f64 -1/3))) (.f64 a a) (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) a (.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 (+.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)) (sqrt.f64 -1/3))))))))
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(fma.f64 -1/3 (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)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))) (fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (.f64 (/.f64 1/6 (sqrt.f64 -1/3)) (+.f64 9 (.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))) (.f64 a (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3)))))))
(-.f64 (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3)
(fma.f64 -1/3 (*.f64 (sqrt.f64 -1/3) rand) -1/3)
(fma.f64 (*.f64 -1/3 rand) (sqrt.f64 -1/3) -1/3)
(fma.f64 (sqrt.f64 -1/3) (*.f64 -1/3 rand) -1/3)
(-.f64 (+.f64 (.f64 a (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))) 1/3)
(+.f64 (.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1)) (fma.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand) -1/3))
(fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 (*.f64 -1/3 rand) (sqrt.f64 -1/3) -1/3))
(fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 (sqrt.f64 -1/3) (*.f64 -1/3 rand) -1/3))
(-.f64 (+.f64 (.f64 a (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 2) rand)) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))) 1/3)
(+.f64 (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 (-.f64 (/.f64 (.f64 1/6 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3)) (/.f64 1/2 (sqrt.f64 -1/3))) (.f64 (.f64 a a) rand) (.f64 (*.f64 -1/3 rand) (sqrt.f64 -1/3)))) -1/3)
(+.f64 -1/3 (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))) (.f64 a (.f64 a rand)) (.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand)))))
(+.f64 (.f64 rand (fma.f64 -1/3 (sqrt.f64 -1/3) (.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3)))))) (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) -1/3))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (+.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)) (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 3) rand)) (+.f64 (.f64 a (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 2) rand)) (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)))))) 1/3)
(+.f64 (fma.f64 (fma.f64 1/6 (/.f64 (+.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)) (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 3) rand) (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 (-.f64 (/.f64 (.f64 1/6 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3)) (/.f64 1/2 (sqrt.f64 -1/3))) (.f64 (.f64 a a) rand) (.f64 (.f64 -1/3 rand) (sqrt.f64 -1/3))))) -1/3)
(+.f64 -1/3 (fma.f64 (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9) (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 3) rand) (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))) (.f64 a (.f64 a rand)) (.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand))))))
(+.f64 (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (.f64 rand (fma.f64 -1/3 (sqrt.f64 -1/3) (.f64 (.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))))) (fma.f64 (pow.f64 a 3) (.f64 (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (.f64 (/.f64 1/6 (sqrt.f64 -1/3)) (+.f64 9 (.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))) rand) -1/3))
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 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 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 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 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 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 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 (+.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 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 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 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 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 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 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 (+.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 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 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 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
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(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
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(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
-3
(-.f64 (*.f64 9 a) 3)
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(-.f64 (*.f64 9 a) 3)
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(-.f64 (*.f64 9 a) 3)
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(-.f64 (*.f64 9 a) 3)
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(.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 (fma.f64 a a 1/9) (.f64 a 1/3))) (+.f64 (pow.f64 a 3) -1/27))
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(*.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a 1/3)) (fma.f64 a a -1/9))
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(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 -1/3 a))
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(.f64 (+.f64 -1/3 a) (+.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 1))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(+.f64 a (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) -1/3))
(.f64 (+.f64 -1/3 a) (+.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)))) 1/3))
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(+.f64 a (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) -1/3))
(.f64 (+.f64 -1/3 a) (+.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)))) 3))
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(+.f64 a (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) -1/3))
(.f64 (+.f64 -1/3 a) (+.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3)))) 2))
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(+.f64 a (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) -1/3))
(.f64 (+.f64 -1/3 a) (+.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (+.f64 a -1/3))) 1) 1))
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) (+.f64 -1/3 a))
(+.f64 a (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 -1/3 a)) -1/3))
(.f64 (+.f64 -1/3 a) (+.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 1))
(+.f64 -3 (*.f64 a 9))
(fma.f64 a 9 -3)
(+.f64 (*.f64 a 9) -3)
(fma.f64 a 9 -3)
(+.f64 0 (fma.f64 a 9 -3))
(fma.f64 a 9 -3)
(+.f64 (.f64 (.f64 a 9) 1) -3)
(fma.f64 a 9 -3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a 9 -3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a 9 -3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a 9 -3)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 9 -3))) 1)
(fma.f64 a 9 -3)
(*.f64 (fma.f64 a 9 -3) 1)
(fma.f64 a 9 -3)
(*.f64 1 (fma.f64 a 9 -3))
(fma.f64 a 9 -3)
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))
(fma.f64 a 9 -3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (fma.f64 a 9 -3)))
(fma.f64 a 9 -3)
(*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (fma.f64 a 9 -3)))
(fma.f64 a 9 -3)
(/.f64 (+.f64 (pow.f64 (.f64 a 9) 3) -27) (+.f64 (pow.f64 (.f64 a 9) 2) (-.f64 9 (.f64 (.f64 a 9) -3))))
(/.f64 (+.f64 (.f64 (pow.f64 a 3) 729) -27) (-.f64 (+.f64 (pow.f64 (.f64 a 9) 2) 9) (*.f64 a -27)))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (.f64 a 27) (pow.f64 (.f64 a 9) 2))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (.f64 (.f64 a 9) (fma.f64 a 9 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 a 9) 2) 9) (fma.f64 a 9 3))
(/.f64 (+.f64 (pow.f64 (*.f64 a 9) 2) -9) (fma.f64 a 9 3))
(/.f64 (+.f64 -9 (pow.f64 (*.f64 a 9) 2)) (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 (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)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2)
(fma.f64 a 9 -3)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 a 9 -3)))
(fma.f64 a 9 -3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 a 9 -3))) 2)) (cbrt.f64 (log.f64 (fma.f64 a 9 -3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (log.f64 (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)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 a 9 -3))) 1/3))
(fma.f64 a 9 -3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a 9 -3))) 3))
(fma.f64 a 9 -3)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 2))
(fma.f64 a 9 -3)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 9 -3)) 1) 1))
(fma.f64 a 9 -3)

localize3.0ms (0%)

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.1%)

Counts

4 → 40

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	rand	@	-inf	(+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9))))
1.0ms	rand	@	0	(/.f64 rand (sqrt.f64 (*.f64 a 9)))
1.0ms	a	@	0	(sqrt.f64 (*.f64 a 9))
1.0ms	a	@	0	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
1.0ms	a	@	0	(/.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	45
1	265	43
2	3601	43

Stop Event

1×	node limit

Counts

4 → 222

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

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

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Rules

296×	`cancel-sign-sub-inv_binary64`
278×	`associate-/l/_binary64`
198×	`associate-l_binary64`
186×	`associate-r_binary64`
182×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	4957
1	1139	4755
2	4057	4582

Stop Event

1×	node limit

Counts

262 → 331

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

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

localize22.0ms (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))
✓	9.2b	(.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)

series17.0ms (0.2%)

Counts

4 → 32

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
1.0ms	a	@	inf	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
1.0ms	rand	@	0	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
1.0ms	a	@	-inf	(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))))

rewrite65.0ms (0.7%)

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	44
1	306	39
2	3706	39

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

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

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

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

352×	`associate-*l/_binary64`
331×	`log-prod_binary64`
306×	`associate-*r/_binary64`
265×	`times-frac_binary64`
234×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	355	2204
1	845	2088
2	2702	2078
3	7040	2076

Stop Event

1×	node limit

Counts

161 → 214

Calls

Call 1

Inputs
(.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 a (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (+.f64 (.f64 a (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (+.f64 (.f64 a (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))))
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (.f64 -1 a)) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (+.f64 (.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(sqrt.f64 -1/3)
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3))))))
(*.f64 -1/3 rand)
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 a rand)
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 a rand)
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 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 1 (fma.f64 a 9 -3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 a 9 -3)))
(*.f64 (/.f64 1 (fma.f64 a 9 -3)) 1)
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)) (/.f64 1 (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) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 a 9 -3))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) 3) (pow.f64 (fma.f64 a 9 -3) -1/4))
(.f64 (/.f64 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 a 9 3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -2) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))))
(.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3)))) (pow.f64 (fma.f64 a 9 -3) -1/6))
(pow.f64 (fma.f64 a 9 -3) -1)
(pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) -1/3)
(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 (pow.f64 (fma.f64 a 9 -3) -3/2) 2/3)
(pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) 3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) 6)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) 4)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 a 9 -3))) -1)
(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 a 9 -3))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 a 9 -3))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))) 1))
(+.f64 0 (pow.f64 (fma.f64 a 9 -3) -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 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 1 (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (pow.f64 (fma.f64 a 9 -3) -1/6))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (/.f64 1 (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 (pow.f64 1 1/2) (pow.f64 (fma.f64 a 9 -3) -1/2))
(/.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1))
(/.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (fma.f64 a 9 -3))))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) -1/6)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -2) 1/4)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -3) 1/6)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -3/2) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -3/2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) 3/2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) 3)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) 2)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1) -1)
(fabs.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))
(log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))) 1/2))
(exp.f64 (.f64 (.f64 -1/2 (log.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 (.f64 a (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 a (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))))
(+.f64 (.f64 1/6 (.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (.f64 (sqrt.f64 -1/3) (.f64 rand (+.f64 -1/3 a))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (+.f64 (.f64 a (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 (.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (.f64 (/.f64 rand (sqrt.f64 -1/3)) -1/2)) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 (.f64 a a) (fma.f64 1/6 (.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand) (/.f64 -1/2 (/.f64 (sqrt.f64 -1/3) rand))) (fma.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 a (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))))
(fma.f64 (.f64 a a) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (/.f64 (.f64 rand -1/2) (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (.f64 (sqrt.f64 -1/3) (*.f64 rand (+.f64 -1/3 a)))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (+.f64 (.f64 a (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 (.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 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand))) (fma.f64 (.f64 a a) (fma.f64 1/6 (.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand) (/.f64 -1/2 (/.f64 (sqrt.f64 -1/3) rand))) (fma.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 a (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 9 (.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) (.f64 -1/2 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) (fma.f64 (.f64 a a) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (/.f64 (.f64 rand -1/2) (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (.f64 (sqrt.f64 -1/3) (*.f64 rand (+.f64 -1/3 a))))))
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(fma.f64 -1 a -1/3)
(fma.f64 a -1 -1/3)
(-.f64 -1/3 a)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (.f64 -1 a)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 a a) (neg.f64 a)) -1/3)
(fma.f64 (*.f64 a a) -3 (fma.f64 a -1 -1/3))
(fma.f64 (*.f64 a a) -3 (-.f64 -1/3 a))
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (+.f64 (.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(+.f64 (fma.f64 -3 (*.f64 a a) (fma.f64 -9 (pow.f64 a 3) (neg.f64 a))) -1/3)
(+.f64 -1/3 (fma.f64 (.f64 a a) -3 (-.f64 (.f64 (pow.f64 a 3) -9) a)))
(+.f64 (-.f64 -1/3 a) (.f64 (.f64 a a) (+.f64 -3 (*.f64 a -9))))
(fma.f64 (.f64 a a) (+.f64 (.f64 a -9) -3) (neg.f64 (+.f64 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 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/243 (pow.f64 a 4)))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/243 (pow.f64 a 4))))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/243 (pow.f64 a 4)))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/243 (pow.f64 a 4))))
(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))
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(/.f64 1 (fma.f64 a 9 -3))
(/.f64 -1 (fma.f64 a -9 3))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) -1))
(/.f64 1 (fma.f64 a 9 -3))
(/.f64 -1 (fma.f64 a -9 3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))) 1))
(/.f64 1 (fma.f64 a 9 -3))
(/.f64 -1 (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 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))
(*.f64 3 (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)))))
(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 1 (pow.f64 (fma.f64 a 9 -3) -1/2))
(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 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (pow.f64 (fma.f64 a 9 -3) -1/6))
(/.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (pow.f64 (fma.f64 a 9 -3) -1/6))
(/.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (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))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(*.f64 (pow.f64 1 1/2) (pow.f64 (fma.f64 a 9 -3) -1/2))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(/.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(/.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (fma.f64 a 9 -3))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 3 (*.f64 a -9))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (fma.f64 a -9 3)))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/2)
(pow.f64 (fma.f64 a 9 -3) -1/2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)
(pow.f64 (fma.f64 a 9 -3) -1/2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) -1/6)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -2) 1/4)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -3) 1/6)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -3/2))
(pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -3/2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) 3/2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) 3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/12) 6)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1)
(pow.f64 (fma.f64 a 9 -3) -1/2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) 2)
(pow.f64 (fma.f64 a 9 -3) -1/2)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1) -1)
(pow.f64 (fma.f64 a 9 -3) -1/2)
(fabs.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))) 1/2))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 a 9 -3))) 1))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(+.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 rand (/.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 rand (fma.f64 a a (fma.f64 a 1/3 1/9))) (+.f64 (pow.f64 a 3) -1/27))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3))
(/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 (/.f64 rand (+.f64 a 1/3)) (fma.f64 a a -1/9))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (fma.f64 a 1/3 1/9)))
(/.f64 rand (/.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 rand (fma.f64 a a (fma.f64 a 1/3 1/9))) (+.f64 (pow.f64 a 3) -1/27))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 (/.f64 rand (+.f64 a 1/3)) (fma.f64 a a -1/9))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(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))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 41 computations (28.1% saved)

series9.0ms (0.1%)

Counts

4 → 42

Calls

18 calls:

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

rewrite136.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

849×	`prod-diff_binary64`
630×	`log-prod_binary64`
347×	`fma-def_binary64`
250×	`egg-rr`
225×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	290	46
2	4276	46

Stop Event

1×	node limit

Counts

4 → 352

Calls

Call 1

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

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

simplify193.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

365×	`associate-r_binary64`
335×	`associate-l_binary64`
272×	`fma-def_binary64`
250×	`+-commutative_binary64`
229×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	888	17485
1	2354	13067

Stop Event

1×	node limit

Counts

394 → 519

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

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

eval994.0ms (10.7%)

Compiler: Compiled 39299 to 30296 computations (22.9% saved)

prune472.0ms (5.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1325	6	1331
Fresh	2	3	5
Picked	1	0	1
Done	2	3	5
Total	1330	12	1342

Error

Counts

1342 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
▶	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	17.8b	(-.f64 a 1/3)
	4.6b	(.f64 (+.f64 a -1/3) (/.f64 (-.f64 1 (.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
▶	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (.f64 3 (sqrt.f64 (+.f64 -1/3 a))))))
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))))
✓	0.7b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
▶	52.2b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
	51.7b	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 (*.f64 1/3 rand) (+.f64 a -1/3)))
	46.0b	(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
▶	46.2b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	18.5b	a

Compiler

Compiled 264 to 206 computations (22% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 42 computations (23.6% saved)

series7.0ms (0.1%)

Counts

4 → 42

Calls

18 calls:

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

rewrite103.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

741×	`prod-diff_binary64`
623×	`log-prod_binary64`
396×	`fma-def_binary64`
264×	`log-div_binary64`
233×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	294	46
2	4076	46

Stop Event

1×	node limit

Counts

4 → 210

Calls

Call 1

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

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

simplify140.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

333×	`log-prod_binary64`
292×	`associate-r_binary64`
284×	`associate-l_binary64`
267×	`cube-prod_binary64`
254×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	564	6147
1	1479	5594
2	5504	5575

Stop Event

1×	node limit

Counts

252 → 347

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

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

localize39.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

series13.0ms (0.1%)

Counts

3 → 12

Calls

15 calls:

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

rewrite70.0ms (0.7%)

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))))))))

simplify47.0ms (0.5%)

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))

localize15.0ms (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 1/9 a))
✓	0.4b	(/.f64 1/9 a)
✓	9.2b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series7.0ms (0.1%)

Counts

3 → 12

Calls

12 calls:

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

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`log-prod_binary64`
440×	`prod-exp_binary64`
363×	`exp-prod_binary64`
354×	`pow-prod-down_binary64`
271×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	221	25
2	2760	25

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/9 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/9 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 a)) (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2) (cbrt.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 a) 1/4) (pow.f64 (/.f64 1/9 a) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 a) 3/4) (pow.f64 (/.f64 1/9 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 a) 5/6) (pow.f64 (/.f64 1/9 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/81 (pow.f64 a -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a 9) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 (pow.f64 a 3/2)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 a) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 a) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a 9) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/9 a))) 2)) (cbrt.f64 (log.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/9 a)))) (sqrt.f64 (log.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a 9) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 1/9 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a 9) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/9 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a 9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2) (log.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1) (log.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (log.f64 (/.f64 1/9 a)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2) (*.f64 (log.f64 (/.f64 1/9 a)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1) (*.f64 (log.f64 (/.f64 1/9 a)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2) (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1) (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1)))))))

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

570×	`fma-def_binary64`
475×	`distribute-rgt-in_binary64`
456×	`distribute-lft-in_binary64`
392×	`unswap-sqr_binary64`
259×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	1840
1	703	1775
2	1932	1551

Stop Event

1×	node limit

Counts

149 → 169

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 34 computations (29.2% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	204	13
2	2754	13

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

340×	`fma-def_binary64`
306×	`fma-neg_binary64`
303×	`div-sub_binary64`
274×	`cancel-sign-sub-inv_binary64`
251×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	1660
1	516	1632
2	1389	1574
3	4904	1574

Stop Event

1×	node limit

Counts

83 → 114

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

series4.0ms (0%)

Counts

2 → 22

Calls

9 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

923×	`pow1_binary64`
859×	`add-log-exp_binary64`
859×	`log1p-expm1-u_binary64`
859×	`expm1-log1p-u_binary64`
842×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	191	25
2	2287	25

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

802×	`fma-neg_binary64`
583×	`fma-def_binary64`
352×	`distribute-rgt-in_binary64`
342×	`distribute-lft-in_binary64`
300×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1044
1	376	969
2	1576	918
3	7002	916

Stop Event

1×	node limit

Counts

56 → 82

Calls

Call 1

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

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

eval545.0ms (5.9%)

Compiler: Compiled 20982 to 16141 computations (23.1% saved)

prune281.0ms (3%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1027	5	1032
Fresh	1	3	4
Picked	1	0	1
Done	1	6	7
Total	1030	14	1044

Error

Counts

1044 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	52.3b	(/.f64 (.f64 (.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a))
✓	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
	46.4b	(-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 1/3)
✓	17.8b	(-.f64 a 1/3)
▶	4.6b	(.f64 (+.f64 a -1/3) (/.f64 (-.f64 1 (.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
▶	46.6b	(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 a)))
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (.f64 3 (sqrt.f64 (+.f64 -1/3 a))))))
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))))
✓	0.7b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
▶	52.2b	(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
▶	46.0b	(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
✓	46.2b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶	59.4b	(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (*.f64 rand rand) 1/9)))
	18.5b	a

Compiler

Compiled 262 to 202 computations (22.9% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 rand a) (/.f64 rand 9))
✓	0.2b	(/.f64 rand (sqrt.f64 a))
✓	0.3b	(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
✓	3.9b	(/.f64 (-.f64 1 (.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))

Compiler

Compiled 93 to 50 computations (46.2% saved)

series44.0ms (0.5%)

Counts

4 → 62

Calls

24 calls:

Time	Variable		Point	Expression
32.0ms	a	@	0	(/.f64 (-.f64 1 (.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
1.0ms	a	@	-inf	(/.f64 (-.f64 1 (.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
1.0ms	a	@	inf	(/.f64 (-.f64 1 (.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
1.0ms	rand	@	0	(/.f64 (-.f64 1 (.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
1.0ms	rand	@	inf	(/.f64 (-.f64 1 (.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))

rewrite94.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`log-prod_binary64`
361×	`log-div_binary64`
340×	`fma-def_binary64`
292×	`expm1-udef_binary64`
290×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	353	37
2	5167	35

Stop Event

1×	node limit

Counts

4 → 209

Calls

Call 1

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

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

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

607×	`unswap-sqr_binary64`
276×	`cancel-sign-sub-inv_binary64`
274×	`log-prod_binary64`
269×	`div-sub_binary64`
255×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	451	4344
1	1069	4176
2	3847	4041

Stop Event

1×	node limit

Counts

271 → 301

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series5.0ms (0%)

Counts

2 → 16

Calls

9 calls:

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

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`pow1_binary64`
858×	`add-log-exp_binary64`
858×	`log1p-expm1-u_binary64`
858×	`expm1-log1p-u_binary64`
842×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	192	16
2	2310	16

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

811×	`fma-def_binary64`
746×	`distribute-rgt-in_binary64`
720×	`distribute-lft-in_binary64`
360×	`log-prod_binary64`
347×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	551
1	237	512
2	906	479
3	3192	474

Stop Event

1×	node limit

Counts

40 → 54

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (/.f64 1/9 a))
	0.4b	(/.f64 1/9 a)
✓	9.2b	(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite42.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

801×	`pow1_binary64`
749×	`add-log-exp_binary64`
749×	`log1p-expm1-u_binary64`
749×	`expm1-log1p-u_binary64`
732×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	170	12
2	2071	12

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

522×	`log-prod_binary64`
494×	`distribute-rgt-in_binary64`
482×	`distribute-lft-in_binary64`
480×	`associate-l_binary64`
426×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	375
1	125	339
2	448	303
3	3012	300

Stop Event

1×	node limit

Counts

27 → 23

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 rand rand) 1/9)
✓	8.3b	(.f64 (+.f64 -1/3 a) (.f64 (*.f64 rand rand) 1/9))
✓	26.5b	(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (*.f64 rand rand) 1/9)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

series11.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (*.f64 rand rand) 1/9)))
1.0ms	rand	@	0	(.f64 (+.f64 -1/3 a) (.f64 (*.f64 rand rand) 1/9))
0.0ms	rand	@	inf	(.f64 (+.f64 -1/3 a) (.f64 (*.f64 rand rand) 1/9))
0.0ms	a	@	-inf	(.f64 (+.f64 -1/3 a) (.f64 (*.f64 rand rand) 1/9))
0.0ms	a	@	0	(.f64 (+.f64 -1/3 a) (.f64 (*.f64 rand rand) 1/9))

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`log-prod_binary64`
417×	`prod-exp_binary64`
352×	`exp-prod_binary64`
333×	`pow-prod-down_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	216	32
2	2628	32

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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

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

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

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

570×	`log-prod_binary64`
448×	`distribute-rgt-in_binary64`
428×	`distribute-lft-in_binary64`
349×	`*-commutative_binary64`
240×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	2652
1	724	2311
2	2241	2301
3	7855	2301

Stop Event

1×	node limit

Counts

173 → 188

Calls

Call 1

Inputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/27 (pow.f64 rand 2))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(+.f64 0 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 -1/3 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 -1/3 a))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 -1/3 a))))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 -1/3 a))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))))) 1)
(.f64 (.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 1)
(.f64 1 (.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (cbrt.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (.f64 rand 1/9)))) (cbrt.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (cbrt.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (.f64 rand 1/9)))))
(.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 (sqrt.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) (sqrt.f64 (.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) 1/3)
(pow.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9))) 1/2)
(pow.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 1)
(pow.f64 (pow.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 4) 1/4)
(pow.f64 (pow.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 6) 1/6)
(pow.f64 (pow.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9)))) 3/2)
(pow.f64 (cbrt.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) 3)
(pow.f64 (sqrt.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))))
(pow.f64 (exp.f64 1/2) (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))))) (sqrt.f64 (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))))))
(fabs.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 -1/3 a))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))))
(exp.f64 (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (.f64 rand 1/9)))) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9)))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9)))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) 1) 1))
(+.f64 0 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9))))
(+.f64 (.f64 -1/3 (.f64 rand (.f64 rand 1/9))) (.f64 a (.f64 rand (.f64 rand 1/9))))
(+.f64 (.f64 a (.f64 rand (.f64 rand 1/9))) (.f64 -1/3 (.f64 rand (.f64 rand 1/9))))
(+.f64 (.f64 (.f64 rand (.f64 rand 1/9)) -1/3) (.f64 (.f64 rand (.f64 rand 1/9)) a))
(+.f64 (.f64 (.f64 rand (.f64 rand 1/9)) a) (.f64 (.f64 rand (.f64 rand 1/9)) -1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/3 a)) (.f64 rand (.f64 rand 1/9)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/3 a)) (.f64 rand (.f64 rand 1/9))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1/3 a)) (.f64 rand (.f64 rand 1/9))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1/3 a)) (.f64 rand (.f64 rand 1/9))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9))))) 1)
(/.f64 (.f64 (+.f64 -1/27 (pow.f64 a 3)) (.f64 rand (*.f64 rand 1/9))) (fma.f64 a (-.f64 a -1/3) 1/9))
(/.f64 (.f64 (-.f64 1/9 (.f64 a a)) (.f64 rand (.f64 rand 1/9))) (-.f64 -1/3 a))
(/.f64 (.f64 (.f64 rand (*.f64 rand 1/9)) (+.f64 -1/27 (pow.f64 a 3))) (fma.f64 a (-.f64 a -1/3) 1/9))
(/.f64 (.f64 (.f64 rand (.f64 rand 1/9)) (-.f64 1/9 (.f64 a a))) (-.f64 -1/3 a))
(pow.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9))) 1)
(pow.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 2)
(pow.f64 (pow.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 4) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 6) 1/3)
(pow.f64 (pow.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 3) 2/3)
(pow.f64 (cbrt.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9)))) 3)
(pow.f64 (cbrt.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) 6)
(pow.f64 (sqrt.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) 4)
(pow.f64 (exp.f64 1) (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (.f64 rand 1/9))))) 2)) (cbrt.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (.f64 rand 1/9))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (.f64 rand 1/9)))))) (sqrt.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (.f64 rand 1/9))))))
(sqrt.f64 (pow.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 4))
(log.f64 (pow.f64 (exp.f64 (+.f64 -1/3 a)) (.f64 rand (.f64 rand 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 6))
(expm1.f64 (log1p.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9)))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9)))))
(exp.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (.f64 rand 1/9)))) 1))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 4)) 1/2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (.f64 rand 1/9))))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9)))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) 1) 2))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 -1/3 a)) 1) (log.f64 (.f64 rand (*.f64 rand 1/9)))))
(exp.f64 (+.f64 (log.f64 (+.f64 -1/3 a)) (.f64 (log.f64 (.f64 rand (*.f64 rand 1/9))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 -1/3 a)) 1) (.f64 (log.f64 (.f64 rand (.f64 rand 1/9))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 rand (*.f64 rand 1/9))) 1) (log.f64 (+.f64 -1/3 a))))
(exp.f64 (+.f64 (log.f64 (.f64 rand (.f64 rand 1/9))) (*.f64 (log.f64 (+.f64 -1/3 a)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 rand (.f64 rand 1/9))) 1) (.f64 (log.f64 (+.f64 -1/3 a)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (.f64 rand 1/9)))) 1/2) (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) 1) (log.f64 (.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))))))
(exp.f64 (+.f64 (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) (.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (.f64 rand 1/9)))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (.f64 rand 1/9)))) 1/2) (.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (.f64 rand 1/9)))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) 1) (.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (*.f64 rand 1/9)))) 1/2)))
(exp.f64 (+.f64 (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) (.f64 (log.f64 (.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (+.f64 -1/3 a) (.f64 rand (.f64 rand 1/9)))) 1/2) (.f64 (log.f64 (.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) 1) (.f64 (log.f64 (.f64 (.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))) 1)))
(fma.f64 -1/3 (.f64 rand (.f64 rand 1/9)) (.f64 a (.f64 rand (*.f64 rand 1/9))))
(fma.f64 a (.f64 rand (.f64 rand 1/9)) (.f64 -1/3 (.f64 rand (*.f64 rand 1/9))))
(fma.f64 (.f64 rand (.f64 rand 1/9)) -1/3 (.f64 (.f64 rand (*.f64 rand 1/9)) a))
(fma.f64 (.f64 rand (.f64 rand 1/9)) a (.f64 (.f64 rand (*.f64 rand 1/9)) -1/3))
(+.f64 0 (.f64 rand (.f64 rand 1/9)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (.f64 rand 1/9))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (.f64 rand 1/9)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (.f64 rand 1/9)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (.f64 rand 1/9)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 rand (.f64 rand 1/9)))) 1)
(pow.f64 (.f64 rand (.f64 rand 1/9)) 1)
(pow.f64 (*.f64 (pow.f64 rand 4) 1/81) 1/2)
(pow.f64 (pow.f64 (*.f64 rand 1/3) 6) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) 3)
(pow.f64 (*.f64 rand 1/3) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 rand (.f64 rand 1/9))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 rand (.f64 rand 1/9)))) 2)) (cbrt.f64 (log.f64 (.f64 rand (.f64 rand 1/9)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 rand (.f64 rand 1/9))))) (sqrt.f64 (log.f64 (.f64 rand (.f64 rand 1/9)))))
(sqrt.f64 (*.f64 (pow.f64 rand 4) 1/81))
(log.f64 (pow.f64 (exp.f64 rand) (*.f64 rand 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 rand (.f64 rand 1/9)))))
(cbrt.f64 (pow.f64 (*.f64 rand 1/3) 6))
(expm1.f64 (log1p.f64 (.f64 rand (.f64 rand 1/9))))
(log1p.f64 (expm1.f64 (.f64 rand (.f64 rand 1/9))))
(exp.f64 (log.f64 (.f64 rand (.f64 rand 1/9))))
(exp.f64 (.f64 (log.f64 (.f64 rand (*.f64 rand 1/9))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 rand 1/3) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 rand 1/3)) 2)) 3))
(exp.f64 (.f64 (log.f64 (.f64 rand 1/3)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 rand (.f64 rand 1/9))) 1) 1))
(exp.f64 (+.f64 (.f64 (log.f64 rand) 1) (log.f64 (.f64 rand 1/9))))
(exp.f64 (+.f64 (log.f64 (.f64 rand 1/9)) (.f64 (log.f64 rand) 1)))

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 (sqrt.f64 -1/3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (/.f64 (.f64 1/6 (*.f64 rand a)) (sqrt.f64 -1/3)))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (.f64 rand a))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 (/.f64 1/6 (sqrt.f64 -1/3)) (*.f64 rand a)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (.f64 -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 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3))) (/.f64 (/.f64 (.f64 rand (.f64 a a)) 8) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (.f64 1/48 (/.f64 (.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 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (.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 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)) (/.f64 (/.f64 (.f64 rand (*.f64 a a)) 8) (sqrt.f64 -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand -1/3))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand -1/3))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand -1/3))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand -1/3))
(*.f64 -1/27 (pow.f64 rand 2))
(.f64 -1/27 (.f64 rand rand))
(.f64 (.f64 -1/27 rand) rand)
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 (.f64 1/9 a) (*.f64 rand rand))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 (.f64 rand rand) (*.f64 a 1/9))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(.f64 (.f64 1/9 a) (*.f64 rand rand))
(.f64 rand (.f64 rand (*.f64 a 1/9)))
(.f64 (.f64 rand rand) (*.f64 a 1/9))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
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(.f64 rand (.f64 (*.f64 rand 1/9) (-.f64 a 1/3)))
(.f64 rand (.f64 1/9 (*.f64 rand (-.f64 a 1/3))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(fma.f64 -1/27 (.f64 rand rand) (.f64 (.f64 1/9 a) (.f64 rand rand)))
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(sqrt.f64 (*.f64 (pow.f64 rand 4) 1/81))
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(.f64 rand (.f64 rand 1/9))
(exp.f64 (+.f64 (log.f64 (.f64 rand 1/9)) (.f64 (log.f64 rand) 1)))
(.f64 rand (.f64 rand 1/9))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 1/3 rand)
✓	0.3b	(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
✓	10.6b	(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 a)))

Compiler

Compiled 30 to 18 computations (40% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`log-prod_binary64`
411×	`exp-prod_binary64`
363×	`pow-prod-down_binary64`
277×	`pow2_binary64`
196×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	220	24
2	2976	24

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

579×	`associate-/r/_binary64`
453×	`unswap-sqr_binary64`
236×	`log-prod_binary64`
229×	`associate-r_binary64`
229×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	2414
1	879	2265
2	3500	2255
3	7998	2255

Stop Event

1×	node limit

Counts

145 → 175

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

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

eval304.0ms (3.3%)

Compiler: Compiled 17347 to 11496 computations (33.7% saved)

prune195.0ms (2.1%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	902	7	909
Fresh	2	1	3
Picked	0	1	1
Done	2	8	10
Total	906	17	923

Error

Counts

923 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	46.6b	(/.f64 (*.f64 (+.f64 a -1/3) 1/3) (/.f64 (sqrt.f64 a) rand))
✓	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	17.8b	(-.f64 a 1/3)
	46.6b	(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) a)
✓	4.6b	(.f64 (+.f64 a -1/3) (/.f64 (-.f64 1 (.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
✓	46.6b	(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 a)))
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (.f64 3 (sqrt.f64 (+.f64 -1/3 a))))))
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))))
✓	0.7b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
	52.2b	(.f64 (.f64 rand a) (/.f64 1/3 (sqrt.f64 a)))
✓	52.2b	(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
	62.5b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand -1/3))
✓	46.0b	(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
	46.0b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
	46.8b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
	59.5b	(sqrt.f64 (.f64 1/9 (.f64 a (*.f64 rand rand))))
	18.5b	a

Compiler

Compiled 194 to 148 computations (23.7% saved)

regimes65.0ms (0.7%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 377 to 274 computations (27.3% saved)

regimes27.0ms (0.3%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	rand
10.0ms	a

Results

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

Compiler

Compiled 206 to 140 computations (32% saved)

regimes26.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	rand
10.0ms	a

Results

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

Compiler

Compiled 192 to 129 computations (32.8% saved)

regimes24.0ms (0.3%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	a
9.0ms	rand

Results

Error	Segments	Branch
0.7b	1	`a`
0.7b	1	`rand`

Compiler

Compiled 166 to 109 computations (34.3% saved)

regimes76.0ms (0.8%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	a
32.0ms	rand

Results

Error	Segments	Branch
15.1b	5	`a`
5.2b	3	`rand`

Compiler

Compiled 154 to 100 computations (35.1% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.9290909645236555e+76	3.55267068727092e+79
18.0ms	-7.5647187142199e+95	-6.669498759703617e+92

Results

32.0ms

256×

body

256

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes37.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	a
16.0ms	rand

Results

Error	Segments	Branch
15.2b	5	`a`
5.2b	3	`rand`

Compiler

Compiled 42 to 29 computations (31% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.9290909645236555e+76	3.55267068727092e+79
18.0ms	-7.5647187142199e+95	-6.669498759703617e+92

Results

34.0ms

256×

body

256

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes38.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

22.0ms	a
15.0ms	rand

Results

Error	Segments	Branch
15.2b	5	`a`
5.4b	3	`rand`

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.9290909645236555e+76	3.55267068727092e+79
18.0ms	-7.5647187142199e+95	-6.669498759703617e+92

Results

32.0ms

256×

body

256

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes31.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

17.0ms	a
13.0ms	rand

Results

Error	Segments	Branch
15.2b	5	`a`
5.8b	3	`rand`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.9290909645236555e+76	3.55267068727092e+79
18.0ms	-7.5647187142199e+95	-6.669498759703617e+92

Results

33.0ms

256×

body

256

valid

Compiler

Compiled 267 to 215 computations (19.5% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.7b remaining (-3.8%)

Threshold costs -0.7b (-3.8%)

Counts

2 → 1

Calls

Call 1

Inputs
a
(-.f64 a 1/3)

Outputs
(-.f64 a 1/3)

Calls

2 calls:

3.0ms	rand
3.0ms	a

Results

Error	Segments	Branch
17.8b	1	`a`
17.8b	1	`rand`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
7×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	237
1	87	237
2	88	237

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand)))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(if (<=.f64 rand -679999999999999960021308400351329275694808455754574020056415377364221009090432750692222369792) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 119999999999999992791711785436734146363018478165098748993720564156436311965696) (-.f64 a 1/3) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))))
(if (<=.f64 rand -23999999999999998262044985695271775593263399590336755004522938968693266562370330472676658774016) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 1050000000000000039771512955146801415361985593779020615116046538467559188987904) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(if (<=.f64 rand -679999999999999960021308400351329275694808455754574020056415377364221009090432750692222369792) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 125000000000000001061702679211212872018608740574845076986874887837849613238272) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -679999999999999960021308400351329275694808455754574020056415377364221009090432750692222369792) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 859999999999999982621946073155053927163490396794676554928661243820707388850176) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(-.f64 a 1/3)
a

Outputs
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))))
(.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))) (+.f64 a -1/3))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand)))
(.f64 (+.f64 1 (.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))) -1/3)
(+.f64 -1/3 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(if (<=.f64 rand -679999999999999960021308400351329275694808455754574020056415377364221009090432750692222369792) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 119999999999999992791711785436734146363018478165098748993720564156436311965696) (-.f64 a 1/3) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))))
(if (<=.f64 rand -679999999999999960021308400351329275694808455754574020056415377364221009090432750692222369792) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 119999999999999992791711785436734146363018478165098748993720564156436311965696) (+.f64 a -1/3) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/3))))
(if (<=.f64 rand -23999999999999998262044985695271775593263399590336755004522938968693266562370330472676658774016) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 1050000000000000039771512955146801415361985593779020615116046538467559188987904) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(if (<=.f64 rand -23999999999999998262044985695271775593263399590336755004522938968693266562370330472676658774016) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 1050000000000000039771512955146801415361985593779020615116046538467559188987904) (+.f64 a -1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(if (<=.f64 rand -679999999999999960021308400351329275694808455754574020056415377364221009090432750692222369792) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 125000000000000001061702679211212872018608740574845076986874887837849613238272) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -679999999999999960021308400351329275694808455754574020056415377364221009090432750692222369792) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 125000000000000001061702679211212872018608740574845076986874887837849613238272) (+.f64 a -1/3) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(if (<=.f64 rand -679999999999999960021308400351329275694808455754574020056415377364221009090432750692222369792) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 859999999999999982621946073155053927163490396794676554928661243820707388850176) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(if (<=.f64 rand -679999999999999960021308400351329275694808455754574020056415377364221009090432750692222369792) (.f64 1/3 (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand 859999999999999982621946073155053927163490396794676554928661243820707388850176) (+.f64 a -1/3) (.f64 1/3 (.f64 rand (sqrt.f64 a)))))
(-.f64 a 1/3)
(+.f64 a -1/3)
a

Compiler

Compiled 180 to 136 computations (24.4% saved)

soundness235.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 406 to 348 computations (14.3% saved)

end86.0ms (0.9%)

Compiler: Compiled 162 to 118 computations (27.2% saved)