Details

analyze59.0ms (0.6%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 20 computations (13% saved)

sample1.5s (15.5%)

Results

1.3s	8256×	body	256	valid
75.0ms	584×	body	256	invalid
73.0ms	608×	body	256	infinite

Bogosity

preprocess189.0ms (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)

simplify108.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

6 → 3

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.1b

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

▶

0.1b

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

▶

0.1b

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

Compiler

Compiled 49 to 40 computations (18.4% saved)

localize53.0ms (0.6%)

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)))
✓	0.6b	(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))

Compiler

Compiled 67 to 54 computations (19.4% saved)

series37.0ms (0.4%)

Counts

4 → 42

Calls

18 calls:

Time	Variable		Point	Expression
22.0ms	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)))

rewrite156.0ms (1.6%)

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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simplify132.0ms (1.4%)

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))

localize22.0ms (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)))
✓	0.6b	(sqrt.f64 (+.f64 (*.f64 a 9) -3))

Compiler

Compiled 57 to 44 computations (22.8% saved)

series44.0ms (0.5%)

Counts

4 → 50

Calls

18 calls:

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

rewrite101.0ms (1.1%)

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)))))

simplify108.0ms (1.1%)

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)

localize49.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 a 9 -3)
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
✓	0.2b	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
✓	0.6b	(sqrt.f64 (fma.f64 a 9 -3))

Compiler

Compiled 49 to 37 computations (24.5% saved)

series10.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	rand	@	0	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
1.0ms	a	@	-inf	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
1.0ms	a	@	-inf	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
1.0ms	a	@	0	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
0.0ms	a	@	-inf	(sqrt.f64 (fma.f64 a 9 -3))

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

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

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

246 → 307

Calls

Call 1

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

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

eval509.0ms (5.4%)

Compiler: Compiled 22229 to 17538 computations (21.1% saved)

prune225.0ms (2.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	938	10	948
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	941	10	951

Error

Counts

951 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	19.7b	(-.f64 a 1/3)
▶	1.4b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
	0.2b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
▶	0.3b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) 9) -3)))))
	18.0b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) rand)))
▶	0.2b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand)))
	50.2b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
	43.6b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	20.5b	a

Compiler

Compiled 271 to 218 computations (19.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 34 computations (29.2% saved)

series9.0ms (0.1%)

Counts

4 → 15

Calls

18 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	174	31
2	2153	31

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

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

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

642×	`log-prod_binary64`
429×	`fma-def_binary64`
377×	`*-commutative_binary64`
265×	`associate-/l*_binary64`
231×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	1320
1	512	1140
2	2015	1019
3	6888	1019

Stop Event

1×	node limit

Counts

96 → 144

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

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 a 1/3)
✓	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
✓	0.2b	(/.f64 rand (sqrt.f64 (*.f64 a 9)))
✓	0.6b	(sqrt.f64 (*.f64 a 9))

Compiler

Compiled 43 to 31 computations (27.9% saved)

series9.0ms (0.1%)

Counts

3 → 26

Calls

15 calls:

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

rewrite92.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

Outputs

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

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

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

simplify131.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

198 → 258

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 42 computations (23.6% saved)

series11.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

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

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`prod-diff_binary64`
593×	`log-prod_binary64`
430×	`fma-def_binary64`
229×	`expm1-udef_binary64`
229×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	294	44
2	3883	44

Stop Event

1×	node limit

Counts

4 → 226

Calls

Call 1

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

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

simplify158.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

387×	`fma-neg_binary64`
373×	`associate-l_binary64`
359×	`associate-r_binary64`
317×	`div-sub_binary64`
272×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	6150
1	1405	5634
2	5771	5630

Stop Event

1×	node limit

Counts

276 → 342

Calls

Call 1

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

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

localize80.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3)
✓	0.5b	(cbrt.f64 a)
✓	0.5b	(pow.f64 (cbrt.f64 a) 2)
✓	0.6b	(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3))

Compiler

Compiled 90 to 58 computations (35.6% saved)

series9.0ms (0.1%)

Counts

4 → 6

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3))
1.0ms	a	@	0	(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3))
1.0ms	a	@	inf	(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3))
1.0ms	a	@	-inf	(pow.f64 (cbrt.f64 a) 2)
0.0ms	a	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3)

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

789×	`pow1_binary64`
738×	`add-log-exp_binary64`
737×	`log1p-expm1-u_binary64`
737×	`expm1-log1p-u_binary64`
721×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	204	25
2	2112	25

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3)

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

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

709×	`log-prod_binary64`
636×	`fma-neg_binary64`
363×	`exp-prod_binary64`
358×	`fma-def_binary64`
337×	`log-pow_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	159	824
1	325	668
2	1267	517
3	4256	514
4	7291	513

Stop Event

1×	node limit

Counts

88 → 106

Calls

Call 1

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

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

eval609.0ms (6.4%)

Compiler: Compiled 20551 to 15459 computations (24.8% saved)

prune243.0ms (2.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	950	9	959
Fresh	2	3	5
Picked	1	0	1
Done	3	1	4
Total	956	13	969

Error

Counts

969 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) a) 1/3)
	1.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
✓	19.7b	(-.f64 a 1/3)
	32.8b	(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (-.f64 1 (.f64 rand (.f64 rand (/.f64 1/9 (+.f64 a -1/3))))) (+.f64 1 (/.f64 (.f64 rand -1/3) (sqrt.f64 (+.f64 a -1/3))))))
▶	1.4b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))
▶	1.4b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
▶	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (-.f64 (+.f64 1 (sqrt.f64 (+.f64 -3 (.f64 a 9)))) 1))))
	50.2b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
	43.7b	(.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
▶	2.3b	(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
▶	43.6b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	20.5b	a
	63.0b	-1/3

Compiler

Compiled 323 to 255 computations (21.1% saved)

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -3 (*.f64 a 9))
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (-.f64 (+.f64 1 (sqrt.f64 (+.f64 -3 (.f64 a 9)))) 1))))
✓	0.2b	(/.f64 rand (-.f64 (+.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 a 9)))) 1))
✓	0.6b	(sqrt.f64 (+.f64 -3 (*.f64 a 9)))

Compiler

Compiled 87 to 72 computations (17.2% saved)

series7.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

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

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`fma-def_binary64`
375×	`fma-neg_binary64`
301×	`expm1-udef_binary64`
301×	`log1p-udef_binary64`
232×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	61
1	375	41
2	5489	41

Stop Event

1×	node limit

Counts

4 → 283

Calls

Call 1

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

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

simplify131.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

347×	`exp-prod_binary64`
341×	`associate-r_binary64`
340×	`associate-l_binary64`
306×	`distribute-rgt-in_binary64`
296×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	675	7027
1	1761	6793
2	6921	6793

Stop Event

1×	node limit

Counts

333 → 415

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize30.0ms (0.3%)

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 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
	0.2b	(/.f64 rand (sqrt.f64 (*.f64 a 9)))
	0.6b	(sqrt.f64 (*.f64 a 9))

Compiler

Compiled 37 to 26 computations (29.7% saved)

series10.0ms (0.1%)

Counts

2 → 28

Calls

12 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`log-prod_binary64`
479×	`prod-diff_binary64`
343×	`pow-prod-down_binary64`
275×	`fma-def_binary64`
260×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	214	25
2	2827	24

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

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

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

373×	`fma-def_binary64`
323×	`associate-*l/_binary64`
320×	`fma-neg_binary64`
304×	`unswap-sqr_binary64`
297×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	280	2420
1	647	2245
2	1815	2180
3	7563	2164

Stop Event

1×	node limit

Counts

144 → 189

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 41 to 21 computations (48.8% saved)

series45.0ms (0.5%)

Counts

3 → 38

Calls

18 calls:

Time	Variable		Point	Expression
39.0ms	a	@	-inf	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
1.0ms	a	@	-inf	(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
0.0ms	a	@	-inf	(/.f64 rand (sqrt.f64 a))
0.0ms	rand	@	-inf	(/.f64 rand (sqrt.f64 a))
0.0ms	a	@	inf	(/.f64 rand (sqrt.f64 a))

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log-prod_binary64`
545×	`prod-diff_binary64`
385×	`fma-def_binary64`
309×	`pow2_binary64`
217×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	247	31
2	3444	31

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs

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

simplify113.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

683×	`times-frac_binary64`
558×	`unswap-sqr_binary64`
343×	`cancel-sign-sub-inv_binary64`
207×	`log-prod_binary64`
174×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	3887
1	1027	3528
2	3417	3510

Stop Event

1×	node limit

Counts

215 → 261

Calls

Call 1

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

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

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 a 1/3)
✓	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))
✓	0.2b	(.f64 (pow.f64 (.f64 a 9) -1/2) rand)
✓	0.7b	(pow.f64 (*.f64 a 9) -1/2)

Compiler

Compiled 48 to 36 computations (25% saved)

series48.0ms (0.5%)

Counts

3 → 38

Calls

15 calls:

Time	Variable		Point	Expression
25.0ms	a	@	0	(pow.f64 (*.f64 a 9) -1/2)
11.0ms	a	@	-inf	(pow.f64 (*.f64 a 9) -1/2)
6.0ms	a	@	inf	(pow.f64 (*.f64 a 9) -1/2)
1.0ms	rand	@	0	(.f64 (pow.f64 (.f64 a 9) -1/2) rand)
1.0ms	a	@	0	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`log-prod_binary64`
559×	`prod-diff_binary64`
390×	`fma-def_binary64`
242×	`pow1/3_binary64`
241×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	290	34
2	3662	34

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

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

Outputs

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

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

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

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

673×	`unswap-sqr_binary64`
390×	`associate-/l*_binary64`
332×	`cancel-sign-sub-inv_binary64`
215×	`associate-l_binary64`
205×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	3777
1	934	3347
2	3240	3087

Stop Event

1×	node limit

Counts

181 → 234

Calls

Call 1

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

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

eval875.0ms (9.2%)

Compiler: Compiled 30542 to 22541 computations (26.2% saved)

prune433.0ms (4.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1423	7	1430
Fresh	2	5	7
Picked	1	0	1
Done	2	3	5
Total	1428	15	1443

Error

Counts

1443 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.7b	(-.f64 a 1/3)
▶	2.2b	(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 a) rand)))
	32.8b	(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (-.f64 1 (.f64 rand (.f64 rand (/.f64 1/9 (+.f64 a -1/3))))) (+.f64 1 (/.f64 (.f64 rand -1/3) (sqrt.f64 (+.f64 a -1/3))))))
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (-.f64 (+.f64 1 (sqrt.f64 (+.f64 -3 (.f64 a 9)))) 1))))
	50.2b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
	43.7b	(.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
▶	43.6b	(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
	44.9b	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
▶	2.2b	(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
✓	2.3b	(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
▶	2.2b	(.f64 a (+.f64 1 (.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))
	2.3b	(.f64 a (+.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
▶	44.9b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
	20.5b	a
	63.0b	-1/3

Compiler

Compiled 307 to 237 computations (22.8% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 21 computations (40% saved)

series36.0ms (0.4%)

Counts

3 → 40

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	a	@	inf	(/.f64 (/.f64 rand 3) (sqrt.f64 a))
1.0ms	a	@	-inf	(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
0.0ms	a	@	-inf	(/.f64 (/.f64 rand 3) (sqrt.f64 a))
0.0ms	a	@	0	(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
0.0ms	a	@	-inf	(+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))

rewrite118.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`prod-diff_binary64`
522×	`log-prod_binary64`
286×	`fma-def_binary64`
271×	`pow2_binary64`
188×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	222	34
2	3044	33

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (/.f64 (*.f64 (*.f64 rand 1/3) a) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 (/.f64 (*.f64 (*.f64 rand 1/3) a) (sqrt.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a (/.f64 rand (/.f64 (sqrt.f64 a) 1/3)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 rand 1/3) a) (sqrt.f64 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a (/.f64 rand (/.f64 (sqrt.f64 a) 1/3)) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a (/.f64 rand (/.f64 (sqrt.f64 a) 1/3)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (/.f64 rand (/.f64 (sqrt.f64 a) 1/3)) a)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (/.f64 rand (/.f64 (sqrt.f64 a) 1/3)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (/.f64 rand (/.f64 (sqrt.f64 a) 1/3)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (/.f64 (*.f64 (*.f64 rand 1/3) a) (sqrt.f64 a)) 3)) (fma.f64 a a (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 rand 1/3) a) (sqrt.f64 a)) 2) (*.f64 a (/.f64 (*.f64 (*.f64 rand 1/3) a) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (pow.f64 (/.f64 (*.f64 (*.f64 rand 1/3) a) (sqrt.f64 a)) 2)) (-.f64 a (/.f64 (*.f64 (*.f64 rand 1/3) a) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 rand 1/3) 3) (pow.f64 a -3/2) 1) a) (fma.f64 (/.f64 rand (/.f64 (sqrt.f64 a) 1/3)) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (*.f64 rand 1/3) 2) a)) a) (-.f64 1 (/.f64 rand (/.f64 (sqrt.f64 a) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (fma.f64 (pow.f64 (*.f64 rand 1/3) 3) (pow.f64 a -3/2) 1)) (fma.f64 (/.f64 rand (/.f64 (sqrt.f64 a) 1/3)) 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simplify127.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-def_binary64`
529×	`associate-/r*_binary64`
333×	`distribute-rgt-in_binary64`
316×	`distribute-lft-in_binary64`
221×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	3449
1	863	3240
2	2696	3183

Stop Event

1×	node limit

Counts

220 → 276

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 7 computations (58.8% saved)

series34.0ms (0.4%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	a	@	-inf	(*.f64 (sqrt.f64 a) rand)
1.0ms	rand	@	0	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
1.0ms	rand	@	inf	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
1.0ms	a	@	-inf	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
0.0ms	a	@	0	(.f64 1/3 (.f64 (sqrt.f64 a) rand))

rewrite40.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
580×	`add-log-exp_binary64`
580×	`log1p-expm1-u_binary64`
580×	`expm1-log1p-u_binary64`
567×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	141	15
2	1611	15

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

792×	`exp-sum_binary64`
573×	`distribute-rgt-in_binary64`
559×	`log-prod_binary64`
548×	`distribute-lft-in_binary64`
442×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	291
1	141	231
2	564	171
3	2031	169
4	6945	169

Stop Event

1×	node limit

Counts

22 → 31

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series4.0ms (0%)

Counts

3 → 20

Calls

12 calls:

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

rewrite74.0ms (0.8%)

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	22
1	192	22
2	2311	22

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

714×	`associate-/l*_binary64`
568×	`times-frac_binary64`
448×	`log-prod_binary64`
389×	`fma-def_binary64`
267×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	915
1	359	818
2	1368	729
3	4422	703

Stop Event

1×	node limit

Counts

66 → 94

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 10 computations (60% saved)

series2.0ms (0%)

Counts

1 → 5

Calls

6 calls:

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

rewrite45.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`pow1_binary64`
832×	`add-log-exp_binary64`
832×	`log1p-expm1-u_binary64`
832×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	172	10
2	2273	10

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

543×	`fma-neg_binary64`
498×	`distribute-rgt-in_binary64`
454×	`distribute-lft-in_binary64`
374×	`cancel-sign-sub-inv_binary64`
337×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	861
1	239	734
2	845	637
3	3528	632

Stop Event

1×	node limit

Counts

41 → 50

Calls

Call 1

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

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

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 (pow.f64 (.f64 a 9) -1/2) rand))
✓	0.1b	(.f64 a (+.f64 1 (.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))
	0.2b	(.f64 (pow.f64 (.f64 a 9) -1/2) rand)
	0.7b	(pow.f64 (*.f64 a 9) -1/2)

Compiler

Compiled 42 to 31 computations (26.2% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 a (+.f64 1 (.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))
0.0ms	a	@	-inf	(.f64 a (+.f64 1 (.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))
0.0ms	a	@	inf	(.f64 a (+.f64 1 (.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))
0.0ms	rand	@	-inf	(.f64 a (+.f64 1 (.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))
0.0ms	rand	@	inf	(.f64 a (+.f64 1 (.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`log-prod_binary64`
497×	`prod-diff_binary64`
363×	`pow-prod-down_binary64`
315×	`fma-def_binary64`
289×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	237	25
2	2909	25

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

452×	`fma-def_binary64`
372×	`fma-neg_binary64`
359×	`unswap-sqr_binary64`
325×	`*-commutative_binary64`
314×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	2314
1	600	2190
2	1683	2130
3	6695	2130

Stop Event

1×	node limit

Counts

137 → 159

Calls

Call 1

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

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

eval254.0ms (2.7%)

Compiler: Compiled 12669 to 8610 computations (32% saved)

prune152.0ms (1.6%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	780	2	782
Fresh	1	6	7
Picked	1	0	1
Done	1	6	7
Total	783	14	797

Error

Counts

797 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.7b	(-.f64 a 1/3)
✓	2.2b	(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 a) rand)))
	32.8b	(.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (-.f64 1 (.f64 rand (.f64 rand (/.f64 1/9 (+.f64 a -1/3))))) (+.f64 1 (/.f64 (.f64 rand -1/3) (sqrt.f64 (+.f64 a -1/3))))))
✓	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (-.f64 (+.f64 1 (sqrt.f64 (+.f64 -3 (.f64 a 9)))) 1))))
	50.2b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
	43.7b	(.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
✓	43.6b	(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
	44.9b	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
✓	2.3b	(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
	2.2b	(.f64 a (+.f64 1 (.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
	44.9b	(.f64 a (.f64 1/3 (*.f64 rand (pow.f64 a -1/2))))
✓	44.9b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
	20.5b	a
	63.0b	-1/3

Compiler

Compiled 161 to 125 computations (22.4% saved)

regimes100.0ms (1.1%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

16.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
15.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
15.0ms	(-.f64 a (/.f64 1 3))
15.0ms	a
14.0ms	rand

Results

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

Compiler

Compiled 439 to 329 computations (25.1% saved)

regimes24.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	rand
9.0ms	a

Results

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

Compiler

Compiled 151 to 98 computations (35.1% saved)

regimes33.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	a
8.0ms	rand

Results

Error	Segments	Branch
1.1b	2	`a`
2.2b	1	`rand`

Compiler

Compiled 106 to 69 computations (34.9% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	83427.75586684582	253367.48491622208

Results

11.0ms

80×

body

256

valid

Compiler

Compiled 147 to 118 computations (19.7% saved)

regimes31.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	a
8.0ms	rand

Results

Error	Segments	Branch
1.1b	2	`a`
2.2b	1	`rand`

Compiler

Compiled 96 to 63 computations (34.4% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	83427.75586684582	253367.48491622208

Results

10.0ms

80×

body

256

valid

Compiler

Compiled 137 to 108 computations (21.2% saved)

regimes35.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

18.0ms	rand
14.0ms	a

Results

Error	Segments	Branch
18.2b	2	`a`
4.1b	3	`rand`

Compiler

Compiled 49 to 34 computations (30.6% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	4.554903866804124e+89	6.233672860105289e+93
19.0ms	-2.938484748771e+63	-4.586432794400559e+59

Results

34.0ms

256×

body

256

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes17.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

12.0ms	rand
4.0ms	a

Results

Error	Segments	Branch
19.7b	1	`a`
5.3b	3	`rand`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	4.554903866804124e+89	6.233672860105289e+93
19.0ms	-2.938484748771e+63	-4.586432794400559e+59

Results

34.0ms

256×

body

256

valid

Compiler

Compiled 267 to 215 computations (19.5% saved)

regimes8.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(-.f64 a 1/3)

Calls

2 calls:

4.0ms	a
3.0ms	rand

Results

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total -42.9b remaining (-208.8%)

Threshold costs -42.9b (-208.8%)

Counts

2 → 1

Calls

Call 1

Inputs
-1/3
a

Outputs
a

Calls

2 calls:

4.0ms	a
3.0ms	rand

Results

Error	Segments	Branch
20.5b	1	`a`
20.5b	1	`rand`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
6×	`+-commutative_binary64`
3×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	176
1	64	176
2	66	176

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
(if (<=.f64 a 92000) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) (*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))))
(if (<=.f64 a 112000) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(if (<=.f64 rand -104999999999999999681016130663631564735183619229641035013423104) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 749999999999999946593531500143775764036129557578397873995013597971981486632335202332966912) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -2899999999999999930294067767636488291342012882211626576611639296) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 489999999999999996015818566617136704680755590614007847885527186685855545340423480136433664) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(-.f64 a 1/3)
a
-1/3

Outputs
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) -1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
(+.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 a)))) -1/3)
(if (<=.f64 a 92000) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) (*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))))
(if (<=.f64 a 92000) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)) (*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))))
(if (<=.f64 a 112000) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(if (<=.f64 a 112000) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)) (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand -104999999999999999681016130663631564735183619229641035013423104) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 749999999999999946593531500143775764036129557578397873995013597971981486632335202332966912) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -2899999999999999930294067767636488291342012882211626576611639296) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 489999999999999996015818566617136704680755590614007847885527186685855545340423480136433664) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(if (<=.f64 rand -2899999999999999930294067767636488291342012882211626576611639296) (.f64 1/3 (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand 489999999999999996015818566617136704680755590614007847885527186685855545340423480136433664) (-.f64 a 1/3) (.f64 1/3 (.f64 rand (sqrt.f64 a)))))
(-.f64 a 1/3)
a
-1/3

Compiler

Compiled 137 to 101 computations (26.3% saved)

soundness238.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 345 to 296 computations (14.2% saved)

end69.0ms (0.7%)

Compiler: Compiled 121 to 80 computations (33.9% saved)