Details

analyze57.0ms (0.5%)

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)

sample1.4s (11.6%)

Results

1.2s	8256×	body	256	valid
80.0ms	597×	body	256	infinite
75.0ms	550×	body	256	invalid

Bogosity

preprocess247.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	52	42
2	142	38
3	402	38
4	1018	38
5	1911	38
6	2888	38
7	4219	38
8	5397	38
9	6013	38
10	6158	38
11	6169	38
12	6173	38
13	6359	38
14	6416	38
15	6416	38
16	6416	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 24 to 21 computations (12.5% saved)

simplify152.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

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

0.2b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
▶	0.2b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))))
▶	0.2b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))

Status

Error

Program

▶

0.2b

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

▶

0.2b

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

▶

0.2b

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

Compiler

Compiled 49 to 40 computations (18.4% saved)

localize27.0ms (0.2%)

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

Compiler

Compiled 67 to 54 computations (19.4% saved)

series30.0ms (0.2%)

Counts

4 → 42

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	a	@	inf	(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
2.0ms	a	@	-inf	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
1.0ms	a	@	-inf	(.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	rand	@	0	(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 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 (/.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 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 rand) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (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 rand 1) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (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 rand (sqrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 rand) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand -1) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(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 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 (fma.f64 a 9 -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 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)))) (#(struct:change #<rule egg-rr> (2) ((x 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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simplify115.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	4892
1	1298	4578
2	4566	4404

Stop Event

1×	node limit

Counts

235 → 326

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 44 computations (22.8% saved)

series13.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

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

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	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
((#(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 /.f64 (sqrt.f64 (fma.f64 729 (pow.f64 a 3) -27)) (hypot.f64 (.f64 a 9) (sqrt.f64 (-.f64 9 (.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (.f64 a a) 81 -9)) (sqrt.f64 (fma.f64 a 9 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (pow.f64 (cbrt.f64 rand) 2) (.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.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 +.f64 -1/3 (+.f64 a (.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 +.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 +.f64 0 (.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/3 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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 (0.9%)

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)

localize24.0ms (0.2%)

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)))
✓	0.4b	(sqrt.f64 (fma.f64 a 9 -3))

Compiler

Compiled 49 to 37 computations (24.5% saved)

series15.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

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

rewrite84.0ms (0.7%)

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))))))

simplify129.0ms (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)

eval818.0ms (6.8%)

Compiler: Compiled 22317 to 17594 computations (21.2% saved)

prune471.0ms (3.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	938	12	950
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	941	12	953

Error

Counts

953 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	27.5b	(/.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
▶	0.1b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	17.5b	(-.f64 a 1/3)
	0.2b	(+.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 -1/3 a))))
▶	0.5b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
	0.1b	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
▶	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (neg.f64 rand) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))
▶	0.1b	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)))
	51.7b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
	45.7b	(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
	45.7b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	18.8b	a

Compiler

Compiled 323 to 256 computations (20.7% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series21.0ms (0.2%)

Counts

4 → 27

Calls

21 calls:

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

rewrite99.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

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

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

simplify112.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

182 → 261

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

series14.0ms (0.1%)

Counts

4 → 40

Calls

21 calls:

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

rewrite129.0ms (1.1%)

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	45
1	267	43
2	3611	43

Stop Event

1×	node limit

Counts

4 → 223

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 a) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 a) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (sqrt.f64 a) 3)) (cbrt.f64 (.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a 9)) (cbrt.f64 (.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a 9) 1/4) (pow.f64 (.f64 a 9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a 9)) 2)) (sqrt.f64 (cbrt.f64 (.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 9 1/2) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a 9)) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 a 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 a) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a 9) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 a) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a 9) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a 9) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 a) 3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)))) (cbrt.f64 (exp.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 rand (pow.f64 (.f64 a 9) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 rand (.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 rand) 2) (.f64 (cbrt.f64 rand) (pow.f64 (.f64 a 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3))) (cbrt.f64 (/.f64 (.f64 rand rand) (.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 rand rand) (.f64 a 9))) (cbrt.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 rand) (.f64 (sqrt.f64 rand) (pow.f64 (.f64 a 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3))) (sqrt.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 rand) (/.f64 1 (.f64 (sqrt.f64 a) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a 9) -1/2) rand)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule 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(sqrt.f64 a) 3)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 rand (.f64 (sqrt.f64 a) 3)))) (/.f64 (/.f64 (.f64 rand rand) (.f64 a 9)) (-.f64 1 (/.f64 rand (.f64 (sqrt.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1) 2)) (cbrt.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1)) (sqrt.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)) 3)) (/.f64 1 (fma.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)) (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (/.f64 (.f64 rand rand) (.f64 a 9))) (/.f64 1 (-.f64 1 (/.f64 rand (.f64 (sqrt.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)) (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) -1) 1) (+.f64 1 (pow.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 rand (.f64 (sqrt.f64 a) 3))) (-.f64 1 (/.f64 (.f64 rand rand) (.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)) 3)) (fma.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)) (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)) 3)) (+.f64 (/.f64 (.f64 rand rand) (.f64 a 9)) (-.f64 1 (/.f64 rand (.f64 (sqrt.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (.f64 rand rand) (.f64 a 9))) (-.f64 1 (/.f64 rand (.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)) 3))) (neg.f64 (fma.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)) (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (/.f64 (.f64 rand rand) (.f64 a 9)))) (neg.f64 (-.f64 1 (/.f64 rand (.f64 (sqrt.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (.f64 rand rand) (.f64 a 9)) 1) (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)) (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) -1) 1) (+.f64 1 (pow.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (/.f64 rand (.f64 (sqrt.f64 a) 3))) (-.f64 1 (/.f64 (.f64 rand rand) (.f64 a 9)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (pow.f64 (.f64 a 9) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 rand (.f64 (sqrt.f64 a) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 rand) 2) (.f64 (cbrt.f64 rand) (pow.f64 (.f64 a 9) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 rand (.f64 (sqrt.f64 a) 3))) (cbrt.f64 (/.f64 (.f64 rand rand) (.f64 a 9))) 1)))) (#(struct:change #<rule 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simplify141.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	4994
1	1143	4782
2	4088	4609

Stop Event

1×	node limit

Counts

263 → 326

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 41 computations (25.5% saved)

series10.0ms (0.1%)

Counts

4 → 54

Calls

21 calls:

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

rewrite150.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`prod-diff_binary64`
614×	`log-prod_binary64`
422×	`fma-def_binary64`
231×	`expm1-udef_binary64`
231×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	294	46
2	3965	46

Stop Event

1×	node limit

Counts

4 → 216

Calls

Call 1

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

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

simplify210.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

379×	`fma-neg_binary64`
294×	`associate-r_binary64`
286×	`log-prod_binary64`
279×	`associate-l_binary64`
243×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	576	6314
1	1493	5809
2	5579	5803

Stop Event

1×	node limit

Counts

270 → 356

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 41 computations (28.1% saved)

series8.0ms (0.1%)

Counts

4 → 42

Calls

18 calls:

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

rewrite255.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 352

Calls

Call 1

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

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

simplify277.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	888	17485
1	2354	13067

Stop Event

1×	node limit

Counts

394 → 519

Calls

Call 1

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

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

eval1.6s (13.5%)

Compiler: Compiled 42102 to 32255 computations (23.4% saved)

prune415.0ms (3.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1455	7	1462
Fresh	5	2	7
Picked	1	0	1
Done	1	3	4
Total	1462	12	1474

Error

Counts

1474 → 12

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)
▶	46.2b	(-.f64 (.f64 (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand) 1/3)
✓	17.5b	(-.f64 a 1/3)
	0.4b	(+.f64 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 (sqrt.f64 a) rand) 3)))
▶	0.1b	(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))
▶	0.5b	(+.f64 a (fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 rand 3) -1/3))
✓	0.5b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
▶	0.5b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
	51.9b	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 (*.f64 1/3 rand) (+.f64 a -1/3)))
	45.7b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
▶	45.7b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	18.8b	a

Compiler

Compiled 254 to 198 computations (22% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 a -1/3))
✓	0.2b	(/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
✓	0.3b	(*.f64 1/3 rand)
✓	0.4b	(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))

Compiler

Compiled 52 to 38 computations (26.9% saved)

series9.0ms (0.1%)

Counts

3 → 20

Calls

12 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`log-prod_binary64`
343×	`pow-prod-down_binary64`
282×	`pow2_binary64`
235×	`pow-unpow_binary64`
198×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	226	23
2	3242	23

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 a -1/3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) -1/6) (cbrt.f64 (/.f64 1 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) -1/6) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 a -1/3))) (pow.f64 (+.f64 a -1/3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (pow.f64 (+.f64 a -1/3) 1/6) (/.f64 1 (+.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) -3/4))))) (#(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 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (neg.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (pow.f64 (+.f64 a -1/3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (/.f64 (pow.f64 (+.f64 a -1/3) 1/6) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 1/4) 1) (pow.f64 (+.f64 a -1/3) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) -2) (pow.f64 (+.f64 a -1/3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 1/4) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2))) (pow.f64 (+.f64 a -1/3) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 a -1/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (pow.f64 (+.f64 a -1/3) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 a -1/3) -1/2))))))) (#(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 (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 a -1/3))) 1))))))

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

587×	`associate-/r*_binary64`
503×	`associate-/l/_binary64`
372×	`associate-/r/_binary64`
231×	`associate-r_binary64`
208×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	2317
1	913	2235
2	3575	2212

Stop Event

1×	node limit

Counts

155 → 219

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(sqrt.f64 -3)
(+.f64 (*.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (*.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (sqrt.f64 -3))))
(+.f64 0 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (.f64 a (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 -1/3 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(+.f64 (.f64 -1/3 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 a (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(+.f64 (.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a) (.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))
(+.f64 (.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) (.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) 1)
(*.f64 1/3 (/.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 1/3 (/.f64 1 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 (pow.f64 (+.f64 a -1/3) -1/2) (/.f64 (.f64 1/3 rand) (/.f64 1 (+.f64 a -1/3))))
(.f64 (.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 1)
(.f64 1 (.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(.f64 (cbrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 a -1/3))))
(.f64 (cbrt.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 a -1/3))) (cbrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (.f64 (cbrt.f64 (.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(.f64 (pow.f64 (+.f64 a -1/3) 1/4) (/.f64 (.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/4)))
(.f64 (sqrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (.f64 1/3 rand)) (pow.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) 1/2))
(.f64 (.f64 rand -1/3) (/.f64 1 (/.f64 -1 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (+.f64 a -1/3))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (/.f64 rand 1) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (/.f64 rand (/.f64 1 (+.f64 a -1/3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/3 rand)) 1) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (/.f64 1 (+.f64 a -1/3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (/.f64 1 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) rand)
(*.f64 (/.f64 1/3 (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))) (/.f64 rand (pow.f64 (+.f64 a -1/3) -1/6)))
(*.f64 (/.f64 rand (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/6)))
(.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) -1/6) -2) (/.f64 (.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/6)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))) (cbrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(.f64 (/.f64 (sqrt.f64 (.f64 1/3 rand)) (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) -1/6)))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/4)) (/.f64 rand (pow.f64 (+.f64 a -1/3) -1/4)))
(*.f64 (/.f64 rand (pow.f64 (+.f64 a -1/3) -1/4)) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (pow.f64 (+.f64 a -1/3) -1/4)) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) -1/4)))
(.f64 (/.f64 (.f64 1/3 rand) 1) (sqrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 (.f64 1/3 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 (+.f64 a -1/3)))
(.f64 (.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)))
(.f64 (.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1) (+.f64 a -1/3))
(.f64 (.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2))) (cbrt.f64 (+.f64 a -1/3)))
(pow.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 1)
(pow.f64 (.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3)) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 3)
(pow.f64 (sqrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 2)
(pow.f64 (*.f64 3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 3) (pow.f64 (+.f64 a -1/3) -3/2)) 1/3)
(pow.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)) 1) -1)
(pow.f64 (.f64 (pow.f64 (.f64 1/3 rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)) 1/3)
(pow.f64 (.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 (.f64 1/3 rand) 3)) 1/3)
(pow.f64 (.f64 (pow.f64 (+.f64 a -1/3) 1/6) (cbrt.f64 (.f64 1/3 rand))) 3)
(pow.f64 (.f64 (pow.f64 (+.f64 a -1/3) 1/4) (sqrt.f64 (.f64 1/3 rand))) 2)
(neg.f64 (/.f64 (*.f64 1/3 rand) (/.f64 -1 (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3)))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 3) (pow.f64 (+.f64 a -1/3) -3/2)))
(expm1.f64 (log1p.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (log.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 1))
(fma.f64 a (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (*.f64 -1/3 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(fma.f64 -1/3 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (*.f64 a (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(fma.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))
(fma.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a))
(+.f64 0 (*.f64 1/3 rand))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 rand))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 rand)))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 rand)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 rand)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1)
(pow.f64 (*.f64 1/3 rand) 1)
(pow.f64 (.f64 1/9 (.f64 rand rand)) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 rand) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 rand)) 2)
(sqrt.f64 (.f64 1/9 (.f64 rand rand)))
(log.f64 (cbrt.f64 (exp.f64 rand)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 rand))))
(cbrt.f64 (pow.f64 (*.f64 1/3 rand) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 rand)))
(log1p.f64 (expm1.f64 (*.f64 1/3 rand)))
(exp.f64 (log.f64 (*.f64 1/3 rand)))
(exp.f64 (.f64 (log.f64 (.f64 1/3 rand)) 1))
(+.f64 0 (pow.f64 (+.f64 a -1/3) -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 a -1/3) -1/2))) 1)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1 (+.f64 a -1/3)))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1)
(*.f64 1 (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/6) (cbrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/6) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 a -1/3))) (pow.f64 (+.f64 a -1/3) -1/6))
(.f64 (cbrt.f64 (+.f64 a -1/3)) (.f64 (pow.f64 (+.f64 a -1/3) 1/6) (/.f64 1 (+.f64 a -1/3))))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) -3/4))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/4) (pow.f64 (+.f64 a -1/3) -1/4))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (neg.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (pow.f64 (+.f64 a -1/3) -1/6))
(*.f64 (/.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (/.f64 (pow.f64 (+.f64 a -1/3) 1/6) (+.f64 a -1/3)))
(*.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 1/4) 1) (pow.f64 (+.f64 a -1/3) -3/4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) -2) (pow.f64 (+.f64 a -1/3) 1/6))
(*.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 1/4) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2))) (pow.f64 (+.f64 a -1/3) -1/12))
(.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (.f64 a -1/3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(pow.f64 (+.f64 a -1/3) -1/2)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1)
(pow.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) -1/3)
(pow.f64 (pow.f64 (+.f64 a -1/3) -3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 2) -1/4)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) -1/6)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/6) -3)
(pow.f64 (pow.f64 (+.f64 a -1/3) -1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) -3/2)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) -2)
(pow.f64 (pow.f64 (+.f64 a -1/3) -1/4) 2)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) 1/2)
(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (pow.f64 (+.f64 a -1/3) 1/4)) 2)
(neg.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (+.f64 a -1/3))))
(sqrt.f64 (/.f64 1 (+.f64 a -1/3)))
(log.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 a -1/3) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (+.f64 a -1/3))))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (+.f64 a -1/3))) 1))

Outputs
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 (.f64 1/3 rand) (sqrt.f64 -1/3))
(.f64 (sqrt.f64 -1/3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand)))
(fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)) (.f64 -1/24 (/.f64 (.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 1/8 (/.f64 (.f64 a (*.f64 a rand)) (sqrt.f64 -1/3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (.f64 1/8 (/.f64 (.f64 a (*.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 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (.f64 1/8 (/.f64 (.f64 a (.f64 a rand)) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (fma.f64 1/48 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (.f64 1/8 (/.f64 (.f64 a (.f64 a rand)) (sqrt.f64 -1/3))))))
(sqrt.f64 -3)
(+.f64 (*.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(fma.f64 -9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (*.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(fma.f64 -1/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a a))) (fma.f64 -9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) a)) a) (fma.f64 -9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (sqrt.f64 -3))))
(fma.f64 -1/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 a a))) (fma.f64 -9/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/2 (/.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))) (sqrt.f64 -3))))
(fma.f64 -1/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 a a))) (fma.f64 -9/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/2 (.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)) (sqrt.f64 -3))))
(fma.f64 -1/2 (.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) a)) a) (fma.f64 -9/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))) (sqrt.f64 -3))))
(+.f64 0 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (.f64 a (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 -1/3 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(+.f64 (.f64 -1/3 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 a (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(+.f64 (.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a) (.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(+.f64 (.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) (.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3)))))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (log.f64 (cbrt.f64 (exp.f64 rand))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) 1)
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 rand (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 1/3 (/.f64 1 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 rand (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 (pow.f64 (+.f64 a -1/3) -1/2) (/.f64 (.f64 1/3 rand) (/.f64 1 (+.f64 a -1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 1)
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1 (.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 (cbrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 a -1/3))))
(.f64 (cbrt.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (.f64 rand rand)))))
(.f64 (cbrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)))))
(.f64 (cbrt.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)))))
(.f64 (cbrt.f64 (.f64 (.f64 1/9 (.f64 rand rand)) (+.f64 a -1/3))) (cbrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(.f64 (cbrt.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (.f64 rand rand)))))
(.f64 (cbrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)))))
(.f64 (cbrt.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (.f64 (+.f64 a -1/3) (.f64 rand (.f64 rand 1/9)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (.f64 (cbrt.f64 (.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 (pow.f64 (+.f64 a -1/3) 1/4) (/.f64 (.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/4)))
(/.f64 (.f64 (pow.f64 (+.f64 a -1/3) 1/4) (.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) -1/4))
(.f64 (pow.f64 (+.f64 a -1/3) 1/4) (.f64 rand (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/4))))
(.f64 (sqrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 (sqrt.f64 (.f64 1/3 rand)) (pow.f64 (.f64 (.f64 1/3 rand) (+.f64 a -1/3)) 1/2))
(.f64 (sqrt.f64 (.f64 1/3 rand)) (sqrt.f64 (.f64 1/3 (.f64 rand (+.f64 a -1/3)))))
(.f64 (.f64 rand -1/3) (/.f64 1 (/.f64 -1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (+.f64 a -1/3))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (/.f64 1 (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (/.f64 rand 1) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 rand (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (/.f64 rand (/.f64 1 (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 rand (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/3 rand)) 1) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 rand (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (/.f64 1 (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (/.f64 1 (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) rand)
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 rand (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (/.f64 1/3 (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))) (/.f64 rand (pow.f64 (+.f64 a -1/3) -1/6)))
(/.f64 1/3 (*.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/6) rand) (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (/.f64 rand (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/6)))
(*.f64 (/.f64 1/3 (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))) (/.f64 rand (pow.f64 (+.f64 a -1/3) -1/6)))
(/.f64 1/3 (*.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/6) rand) (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) -1/6) -2) (/.f64 (.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) -1/6) -2) (/.f64 1/3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/6) rand)))
(/.f64 (*.f64 1/3 (pow.f64 (pow.f64 (+.f64 a -1/3) -1/6) -2)) (/.f64 (pow.f64 (+.f64 a -1/3) -1/6) rand))
(.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) -1/6) -2) (.f64 1/3 (/.f64 rand (pow.f64 (+.f64 a -1/3) -1/6))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))) (cbrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(.f64 (cbrt.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (cbrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (cbrt.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(.f64 (/.f64 (sqrt.f64 (.f64 1/3 rand)) (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) -1/6)))
(*.f64 (/.f64 1/3 (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))) (/.f64 rand (pow.f64 (+.f64 a -1/3) -1/6)))
(/.f64 1/3 (*.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/6) rand) (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/4)) (/.f64 rand (pow.f64 (+.f64 a -1/3) -1/4)))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 rand (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (/.f64 rand (pow.f64 (+.f64 a -1/3) -1/4)) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/4)))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 rand (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 rand)) 2) (pow.f64 (+.f64 a -1/3) -1/4)) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) -1/4)))
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 rand (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(.f64 (/.f64 (.f64 1/3 rand) 1) (sqrt.f64 (+.f64 a -1/3)))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 (/.f64 (.f64 1/3 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 (+.f64 a -1/3)))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(.f64 (.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(.f64 (.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1) (+.f64 a -1/3))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(.f64 (.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2))) (cbrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 (.f64 1/3 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (cbrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (cbrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (cbrt.f64 (+.f64 a -1/3))))
(pow.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 1)
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(pow.f64 (.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3)) 1/2)
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 rand (*.f64 rand 1/9))))
(fabs.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(pow.f64 (pow.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(pow.f64 (cbrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 3)
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(pow.f64 (sqrt.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 2)
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(pow.f64 (*.f64 3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)) -1)
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 rand (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(pow.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 3) (pow.f64 (+.f64 a -1/3) -3/2)) 1/3)
(cbrt.f64 (/.f64 (*.f64 1/27 (pow.f64 rand 3)) (pow.f64 (+.f64 a -1/3) -3/2)))
(cbrt.f64 (/.f64 1/27 (/.f64 (pow.f64 (+.f64 a -1/3) -3/2) (pow.f64 rand 3))))
(cbrt.f64 (*.f64 (/.f64 1/27 (pow.f64 (+.f64 a -1/3) -3/2)) (pow.f64 rand 3)))
(pow.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)) 1) -1)
(/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 rand (/.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(pow.f64 (.f64 (pow.f64 (.f64 1/3 rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)) 1/3)
(cbrt.f64 (.f64 (.f64 1/27 (pow.f64 rand 3)) (pow.f64 (+.f64 a -1/3) 3/2)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/27) (pow.f64 rand 3)))
(pow.f64 (.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 (.f64 1/3 rand) 3)) 1/3)
(cbrt.f64 (.f64 (.f64 1/27 (pow.f64 rand 3)) (pow.f64 (+.f64 a -1/3) 3/2)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/27) (pow.f64 rand 3)))
(pow.f64 (.f64 (pow.f64 (+.f64 a -1/3) 1/6) (cbrt.f64 (.f64 1/3 rand))) 3)
(.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 1/6) 3) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (pow.f64 (pow.f64 (+.f64 a -1/3) 1/6) 3))
(pow.f64 (.f64 (pow.f64 (+.f64 a -1/3) 1/4) (sqrt.f64 (.f64 1/3 rand))) 2)
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(neg.f64 (/.f64 (*.f64 1/3 rand) (/.f64 -1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (.f64 (.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3)))
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 1/9 (*.f64 rand rand))))
(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 rand (*.f64 rand 1/9))))
(fabs.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (log.f64 (cbrt.f64 (exp.f64 rand))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(cbrt.f64 (pow.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 3) (pow.f64 (+.f64 a -1/3) -3/2)))
(cbrt.f64 (/.f64 (*.f64 1/27 (pow.f64 rand 3)) (pow.f64 (+.f64 a -1/3) -3/2)))
(cbrt.f64 (/.f64 1/27 (/.f64 (pow.f64 (+.f64 a -1/3) -3/2) (pow.f64 rand 3))))
(cbrt.f64 (*.f64 (/.f64 1/27 (pow.f64 (+.f64 a -1/3) -3/2)) (pow.f64 rand 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(log1p.f64 (expm1.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(exp.f64 (log.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 1))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 a (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (*.f64 -1/3 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(fma.f64 -1/3 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (*.f64 a (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(fma.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(fma.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a))
(.f64 (+.f64 a -1/3) (.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand))
(.f64 (+.f64 a -1/3) (/.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (+.f64 a -1/3))))
(+.f64 0 (*.f64 1/3 rand))
(*.f64 1/3 rand)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 rand))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 rand)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 rand))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 rand)))))
(*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 rand)))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 rand)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 rand)))))
(*.f64 2 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 rand)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1)
(*.f64 1/3 rand)
(pow.f64 (*.f64 1/3 rand) 1)
(*.f64 1/3 rand)
(pow.f64 (.f64 1/9 (.f64 rand rand)) 1/2)
(sqrt.f64 (.f64 1/9 (.f64 rand rand)))
(sqrt.f64 (.f64 rand (.f64 rand 1/9)))
(fabs.f64 (*.f64 1/3 rand))
(pow.f64 (pow.f64 (*.f64 1/3 rand) 3) 1/3)
(*.f64 1/3 rand)
(pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 3)
(*.f64 1/3 rand)
(pow.f64 (sqrt.f64 (*.f64 1/3 rand)) 2)
(*.f64 1/3 rand)
(sqrt.f64 (.f64 1/9 (.f64 rand rand)))
(sqrt.f64 (.f64 rand (.f64 rand 1/9)))
(fabs.f64 (*.f64 1/3 rand))
(log.f64 (cbrt.f64 (exp.f64 rand)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 rand))))
(*.f64 1/3 rand)
(cbrt.f64 (pow.f64 (*.f64 1/3 rand) 3))
(*.f64 1/3 rand)
(expm1.f64 (log1p.f64 (*.f64 1/3 rand)))
(*.f64 1/3 rand)
(log1p.f64 (expm1.f64 (*.f64 1/3 rand)))
(*.f64 1/3 rand)
(exp.f64 (log.f64 (*.f64 1/3 rand)))
(*.f64 1/3 rand)
(exp.f64 (.f64 (log.f64 (.f64 1/3 rand)) 1))
(*.f64 1/3 rand)
(+.f64 0 (pow.f64 (+.f64 a -1/3) -1/2))
(pow.f64 (+.f64 a -1/3) -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 a -1/3) -1/2))) 1)
(pow.f64 (+.f64 a -1/3) -1/2)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1)
(pow.f64 (+.f64 a -1/3) -1/2)
(*.f64 1 (pow.f64 (+.f64 a -1/3) -1/2))
(pow.f64 (+.f64 a -1/3) -1/2)
(*.f64 (pow.f64 (+.f64 a -1/3) -1/6) (cbrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 a -1/3))) (pow.f64 (+.f64 a -1/3) -1/6))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/6) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (pow.f64 (+.f64 a -1/3) -1/6) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 a -1/3))) (pow.f64 (+.f64 a -1/3) -1/6))
(.f64 (cbrt.f64 (+.f64 a -1/3)) (.f64 (pow.f64 (+.f64 a -1/3) 1/6) (/.f64 1 (+.f64 a -1/3))))
(.f64 (.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/6)) (/.f64 1 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (pow.f64 (+.f64 a -1/3) 1/6) (+.f64 a -1/3)))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) -3/4))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/4) (pow.f64 (+.f64 a -1/3) -1/4))
(pow.f64 (+.f64 a -1/3) -1/2)
(*.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (neg.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (/.f64 1 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (pow.f64 (+.f64 a -1/3) -1/6))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/6) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (pow.f64 (+.f64 a -1/3) -1/6) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (/.f64 (pow.f64 (+.f64 a -1/3) 1/6) (+.f64 a -1/3)))
(.f64 (.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/6)) (/.f64 1 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (pow.f64 (+.f64 a -1/3) 1/6) (+.f64 a -1/3)))
(*.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 1/4) 1) (pow.f64 (+.f64 a -1/3) -3/4))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) -3/4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) -2) (pow.f64 (+.f64 a -1/3) 1/6))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/6) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) -2))
(*.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 1/4) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2))) (pow.f64 (+.f64 a -1/3) -1/12))
(/.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) -1/12)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)))
(/.f64 (pow.f64 (+.f64 a -1/3) 1/4) (/.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (pow.f64 (+.f64 a -1/3) -1/12)))
(.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (.f64 a -1/3)))
(.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 (pow.f64 a 3) -1/27)) (-.f64 (fma.f64 a a 1/9) (.f64 a -1/3)))
(.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 (pow.f64 a 3) -1/27)) (+.f64 (fma.f64 a a 1/9) (.f64 1/3 a)))
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 (fma.f64 a a 1/9) (.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fma.f64 a a -1/9)) (+.f64 1/3 a))
(pow.f64 (+.f64 a -1/3) -1/2)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1)
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1)
(pow.f64 (+.f64 a -1/3) -1/2)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) -1/6) (pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) -1/6))
(pow.f64 (pow.f64 (+.f64 a -1/3) -3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 a -1/3) -3/2))
(pow.f64 (pow.f64 (+.f64 a -1/3) 2) -1/4)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) -1/6)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/6) -3)
(pow.f64 (pow.f64 (+.f64 a -1/3) -1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) -3/2)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) -2)
(pow.f64 (pow.f64 (+.f64 a -1/3) -1/4) 2)
(pow.f64 (+.f64 a -1/3) -1/2)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) 1/2)
(sqrt.f64 (/.f64 1 (+.f64 a -1/3)))
(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (pow.f64 (+.f64 a -1/3) 1/4)) 2)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) -1))
(neg.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(sqrt.f64 (/.f64 1 (+.f64 a -1/3)))
(log.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(pow.f64 (+.f64 a -1/3) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 a -1/3) -1/2))))
(pow.f64 (+.f64 a -1/3) -1/2)
(cbrt.f64 (pow.f64 (+.f64 a -1/3) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(pow.f64 (+.f64 a -1/3) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 a -1/3) -1/2)))
(pow.f64 (+.f64 a -1/3) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (+.f64 a -1/3))))
(pow.f64 (+.f64 a -1/3) -1/2)
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (+.f64 a -1/3))) 1))
(pow.f64 (+.f64 a -1/3) -1/2)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 27 computations (25% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`log-prod_binary64`
372×	`prod-exp_binary64`
355×	`exp-prod_binary64`
307×	`pow-prod-down_binary64`
264×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	204	34
2	2652	34

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

Outputs

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

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

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

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

490×	`fma-neg_binary64`
452×	`distribute-rgt-in_binary64`
412×	`distribute-lft-in_binary64`
353×	`*-commutative_binary64`
245×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	2683
1	716	2595
2	2330	2583
3	7621	2583

Stop Event

1×	node limit

Counts

151 → 211

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 41 to 21 computations (48.8% saved)

series10.0ms (0.1%)

Counts

4 → 52

Calls

24 calls:

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

rewrite112.0ms (0.9%)

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	45
1	247	41
2	3444	41

Stop Event

1×	node limit

Counts

4 → 223

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

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

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

435×	`cancel-sign-sub-inv_binary64`
277×	`log-prod_binary64`
245×	`associate-l_binary64`
230×	`associate-r_binary64`
222×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	467	4872
1	1162	4478
2	4186	4406

Stop Event

1×	node limit

Counts

275 → 316

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

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 27 computations (38.6% saved)

series16.0ms (0.1%)

Counts

3 → 26

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	(/.f64 (+.f64 a -1/3) (sqrt.f64 a))
2.0ms	a	@	inf	(fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 rand 3) -1/3)
1.0ms	a	@	-inf	(/.f64 (+.f64 a -1/3) (sqrt.f64 a))
1.0ms	a	@	-inf	(fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 rand 3) -1/3)
1.0ms	a	@	0	(fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 rand 3) -1/3)

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`prod-diff_binary64`
570×	`log-prod_binary64`
293×	`fma-def_binary64`
228×	`expm1-udef_binary64`
228×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	254	44
2	3502	44

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

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

Outputs

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

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

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

simplify104.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

575×	`unswap-sqr_binary64`
519×	`times-frac_binary64`
427×	`associate-/l*_binary64`
274×	`cancel-sign-sub-inv_binary64`
193×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	3288
1	716	3218
2	2676	3157

Stop Event

1×	node limit

Counts

155 → 182

Calls

Call 1

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

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

eval541.0ms (4.5%)

Compiler: Compiled 22956 to 16640 computations (27.5% saved)

prune376.0ms (3.1%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1183	6	1189
Fresh	1	3	4
Picked	0	1	1
Done	3	4	7
Total	1187	14	1201

Error

Counts

1201 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.2b	(-.f64 (.f64 (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand) 1/3)
▶	46.1b	(-.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) 1/3)
✓	17.5b	(-.f64 a 1/3)
	0.1b	(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2)))
▶	0.1b	(+.f64 (+.f64 a -1/3) (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
✓	0.5b	(+.f64 a (fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 rand 3) -1/3))
✓	0.5b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
	51.9b	(.f64 (.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
▶	51.9b	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 (*.f64 1/3 rand) (+.f64 a -1/3)))
▶	45.7b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
✓	45.7b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶	59.9b	(.f64 1/3 (sqrt.f64 (.f64 (-.f64 a 1/3) (*.f64 rand rand))))
	18.8b	a
	63.1b	-1/3

Compiler

Compiled 244 to 193 computations (20.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 26 computations (27.8% saved)

series4.0ms (0%)

Counts

2 → 34

Calls

12 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
466×	`fma-def_binary64`
372×	`pow-prod-down_binary64`
284×	`pow2_binary64`
224×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	224	28
2	3016	28

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

Outputs

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

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

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

433×	`distribute-rgt-in_binary64`
397×	`distribute-lft-in_binary64`
375×	`times-frac_binary64`
242×	`associate-/l*_binary64`
231×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	327	3131
1	845	3028
2	2480	2980

Stop Event

1×	node limit

Counts

147 → 185

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`pow1_binary64`
850×	`add-log-exp_binary64`
850×	`log1p-expm1-u_binary64`
850×	`expm1-log1p-u_binary64`
834×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	192	12
2	2297	12

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

848×	`times-frac_binary64`
675×	`fma-def_binary64`
564×	`distribute-rgt-in_binary64`
553×	`distribute-lft-in_binary64`
520×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	441
1	198	435
2	665	435
3	3599	430

Stop Event

1×	node limit

Counts

29 → 36

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/3 (sqrt.f64 (.f64 (-.f64 a 1/3) (*.f64 rand rand))))
✓	7.3b	(.f64 (-.f64 a 1/3) (.f64 rand rand))
✓	25.5b	(sqrt.f64 (.f64 (-.f64 a 1/3) (.f64 rand rand)))

Compiler

Compiled 36 to 19 computations (47.2% saved)

series7.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

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

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`pow1_binary64`
883×	`add-log-exp_binary64`
883×	`log1p-expm1-u_binary64`
883×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	195	31
2	2429	31

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

Outputs

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

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

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

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

664×	`log-prod_binary64`
502×	`unswap-sqr_binary64`
396×	`distribute-rgt-in_binary64`
391×	`distribute-lft-in_binary64`
337×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	1483
1	474	1458
2	1759	1446
3	7064	1398

Stop Event

1×	node limit

Counts

114 → 125

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1/27 (*.f64 a 1/9))
✓	0.1b	(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
✓	0.2b	(.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand)
✓	0.4b	(*.f64 a 1/9)

Compiler

Compiled 39 to 30 computations (23.1% saved)

series8.0ms (0.1%)

Counts

4 → 44

Calls

15 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`pow1_binary64`
844×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	191	26
2	2281	26

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

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

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

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

652×	`fma-neg_binary64`
514×	`log-prod_binary64`
429×	`fma-def_binary64`
287×	`*-commutative_binary64`
276×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	1380
1	510	1265
2	1906	1156
3	6411	1156

Stop Event

1×	node limit

Counts

127 → 136

Calls

Call 1

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

Outputs
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 (sqrt.f64 -1/27) rand)
(+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand))
(fma.f64 1/18 (/.f64 a (/.f64 (sqrt.f64 -1/27) rand)) (*.f64 (sqrt.f64 -1/27) rand))
(fma.f64 1/18 (.f64 (/.f64 a (sqrt.f64 -1/27)) rand) (.f64 (sqrt.f64 -1/27) rand))
(fma.f64 1/18 (.f64 (/.f64 rand (sqrt.f64 -1/27)) a) (.f64 (sqrt.f64 -1/27) rand))
(+.f64 (.f64 -1/648 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand)))
(fma.f64 -1/648 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3)) (fma.f64 1/18 (/.f64 a (/.f64 (sqrt.f64 -1/27) rand)) (*.f64 (sqrt.f64 -1/27) rand)))
(+.f64 (fma.f64 1/18 (.f64 (/.f64 a (sqrt.f64 -1/27)) rand) (.f64 (sqrt.f64 -1/27) rand)) (.f64 1/24 (/.f64 (.f64 rand (*.f64 a a)) (sqrt.f64 -1/27))))
(fma.f64 (sqrt.f64 -1/27) rand (fma.f64 1/18 (.f64 (/.f64 rand (sqrt.f64 -1/27)) a) (.f64 (/.f64 (/.f64 (*.f64 a a) 24) (sqrt.f64 -1/27)) rand)))
(+.f64 (.f64 -1/648 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (+.f64 (.f64 1/11664 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/27) 5))) (*.f64 (sqrt.f64 -1/27) rand))))
(fma.f64 -1/648 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3)) (fma.f64 1/18 (/.f64 a (/.f64 (sqrt.f64 -1/27) rand)) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/27) 5) rand)) (*.f64 (sqrt.f64 -1/27) rand))))
(+.f64 (.f64 1/24 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/27))) (fma.f64 1/18 (.f64 (/.f64 a (sqrt.f64 -1/27)) rand) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/27) 5) rand)) (*.f64 (sqrt.f64 -1/27) rand))))
(fma.f64 1/18 (.f64 (/.f64 rand (sqrt.f64 -1/27)) a) (fma.f64 1/24 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/27)) (fma.f64 (sqrt.f64 -1/27) rand (/.f64 (.f64 rand (*.f64 1/11664 (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1/27) 5)))))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(sqrt.f64 -1/27)
(+.f64 (sqrt.f64 -1/27) (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))))
(+.f64 (sqrt.f64 -1/27) (/.f64 (*.f64 1/18 a) (sqrt.f64 -1/27)))
(fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (sqrt.f64 -1/27))
(+.f64 (sqrt.f64 -1/27) (+.f64 (.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3)))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (.f64 -1/648 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1/27) 3)))))
(+.f64 (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (sqrt.f64 -1/27)) (.f64 1/24 (/.f64 (.f64 a a) (sqrt.f64 -1/27))))
(fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (fma.f64 1/24 (/.f64 a (/.f64 (sqrt.f64 -1/27) a)) (sqrt.f64 -1/27)))
(+.f64 (sqrt.f64 -1/27) (+.f64 (.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5))) (+.f64 (.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (*.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3))))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5)) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (.f64 -1/648 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1/27) 3))))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5)) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (.f64 1/24 (/.f64 (.f64 a a) (sqrt.f64 -1/27))))))
(fma.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5)) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (fma.f64 1/24 (/.f64 a (/.f64 (sqrt.f64 -1/27) a)) (sqrt.f64 -1/27))))
-1/27
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (+.f64 1 (*.f64 a 1/9)) 1)
(*.f64 1/9 a)
(pow.f64 (*.f64 a 1/9) 1)
(*.f64 1/9 a)
(pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)
(*.f64 1/9 a)
(pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)
(*.f64 1/9 a)
(pow.f64 (*.f64 1/729 (pow.f64 a 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 a 3) 1/729))
(sqrt.f64 (.f64 (.f64 a a) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) a))
(*.f64 1/9 a)
(cbrt.f64 (*.f64 1/729 (pow.f64 a 3)))
(cbrt.f64 (*.f64 (pow.f64 a 3) 1/729))
(expm1.f64 (log1p.f64 (*.f64 a 1/9)))
(*.f64 1/9 a)
(log1p.f64 (expm1.f64 (*.f64 a 1/9)))
(*.f64 1/9 a)
(exp.f64 (log.f64 (*.f64 a 1/9)))
(*.f64 1/9 a)
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 1)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 1)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 3) 1/3)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 3)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 2)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(sqrt.f64 (.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand)))
(sqrt.f64 (.f64 (fma.f64 1/9 a -1/27) (.f64 rand rand)))
(fabs.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 3))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) (pow.f64 rand 3)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (fma.f64 a 1/9 -1/27) 3/2)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 1 (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(*.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (cbrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 1/2))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(/.f64 (sqrt.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81))) (sqrt.f64 (-.f64 -1/27 (*.f64 a 1/9))))
(/.f64 (sqrt.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81))) (sqrt.f64 (-.f64 -1/27 (*.f64 1/9 a))))
(/.f64 (sqrt.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) -1/81 1/729)) (sqrt.f64 (fma.f64 a -1/9 -1/27)))
(/.f64 (sqrt.f64 (+.f64 -1/19683 (.f64 1/729 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/729 (-.f64 (.f64 (.f64 a a) 1/81) (.f64 -1/243 a)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 a 3) 1/729) -1/19683)) (sqrt.f64 (+.f64 1/729 (fma.f64 (.f64 a a) 1/81 (neg.f64 (*.f64 a -1/243))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (sqrt.f64 (+.f64 1/729 (.f64 a (-.f64 (.f64 a 1/81) -1/243)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (sqrt.f64 (fma.f64 a (fma.f64 a 1/81 1/243) 1/729)))
(pow.f64 (fma.f64 a 1/9 -1/27) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(fabs.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27))) -1)
(+.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 0)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(-.f64 (+.f64 1 (fma.f64 a 1/9 -1/27)) 1)
(fma.f64 1/9 a -1/27)
(-.f64 (/.f64 1/729 (-.f64 -1/27 (.f64 a 1/9))) (/.f64 (.f64 (.f64 a a) 1/81) (-.f64 -1/27 (.f64 a 1/9))))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (-.f64 -1/27 (*.f64 1/9 a)))
(/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(*.f64 (fma.f64 a 1/9 -1/27) 1)
(fma.f64 1/9 a -1/27)
(*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(*.f64 1 (fma.f64 a 1/9 -1/27))
(fma.f64 1/9 a -1/27)
(*.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2))
(fma.f64 1/9 a -1/27)
(.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) (.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))))
(*.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 5/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2) (cbrt.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) (.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(fma.f64 1/9 a -1/27)
(.f64 (+.f64 -1/19683 (.f64 1/729 (pow.f64 a 3))) (/.f64 1 (+.f64 1/729 (-.f64 (.f64 (.f64 a a) 1/81) (*.f64 -1/243 a)))))
(.f64 (+.f64 (.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 1/729 (fma.f64 (.f64 a a) 1/81 (neg.f64 (.f64 a -1/243))))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (+.f64 1/729 (.f64 a (-.f64 (.f64 a 1/81) -1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (fma.f64 a 1/81 1/243) 1/729))
(.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (/.f64 1 (-.f64 -1/27 (.f64 a 1/9))))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (-.f64 -1/27 (*.f64 1/9 a)))
(/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (pow.f64 (fma.f64 a 1/9 -1/27) 1/4)) (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))
(fma.f64 1/9 a -1/27)
(.f64 (.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (fma.f64 a 1/9 -1/27))) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) (.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))))
(*.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 5/2))
(/.f64 1 (/.f64 (+.f64 1/729 (-.f64 (.f64 (.f64 a a) 1/81) (.f64 -1/243 a))) (+.f64 -1/19683 (.f64 1/729 (pow.f64 a 3)))))
(.f64 (+.f64 (.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 1/729 (fma.f64 (.f64 a a) 1/81 (neg.f64 (.f64 a -1/243))))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (+.f64 1/729 (.f64 a (-.f64 (.f64 a 1/81) -1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (fma.f64 a 1/81 1/243) 1/729))
(/.f64 1 (/.f64 (-.f64 -1/27 (.f64 a 1/9)) (-.f64 1/729 (.f64 (*.f64 a a) 1/81))))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (-.f64 -1/27 (*.f64 1/9 a)))
(/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (+.f64 -1/19683 (.f64 1/729 (pow.f64 a 3))) (+.f64 1/729 (-.f64 (.f64 (.f64 a a) 1/81) (.f64 -1/243 a))))
(.f64 (+.f64 (.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 1/729 (fma.f64 (.f64 a a) 1/81 (neg.f64 (.f64 a -1/243))))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (+.f64 1/729 (.f64 a (-.f64 (.f64 a 1/81) -1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (fma.f64 a 1/81 1/243) 1/729))
(/.f64 (+.f64 -1/19683 (.f64 1/729 (pow.f64 a 3))) (+.f64 (.f64 (.f64 a a) 1/81) (-.f64 1/729 (.f64 -1/243 a))))
(.f64 (+.f64 (.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 1/729 (fma.f64 (.f64 a a) 1/81 (neg.f64 (.f64 a -1/243))))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (+.f64 1/729 (.f64 a (-.f64 (.f64 a 1/81) -1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (fma.f64 a 1/81 1/243) 1/729))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (-.f64 -1/27 (*.f64 a 1/9)))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (-.f64 -1/27 (*.f64 1/9 a)))
(/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (neg.f64 (+.f64 -1/19683 (.f64 1/729 (pow.f64 a 3)))) (neg.f64 (+.f64 1/729 (-.f64 (.f64 (.f64 a a) 1/81) (.f64 -1/243 a)))))
(.f64 (+.f64 (.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 1/729 (fma.f64 (.f64 a a) 1/81 (neg.f64 (.f64 a -1/243))))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (+.f64 1/729 (.f64 a (-.f64 (.f64 a 1/81) -1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (fma.f64 a 1/81 1/243) 1/729))
(/.f64 (neg.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81))) (neg.f64 (-.f64 -1/27 (*.f64 a 1/9))))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (-.f64 -1/27 (*.f64 1/9 a)))
(/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (-.f64 (.f64 (.f64 a a) 1/81) 1/729) (-.f64 (*.f64 a 1/9) -1/27))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (-.f64 -1/27 (*.f64 1/9 a)))
(/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(pow.f64 (fma.f64 a 1/9 -1/27) 1)
(fma.f64 1/9 a -1/27)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 2)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/2)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/3)
(fma.f64 1/9 a -1/27)
(pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3)
(fma.f64 1/9 a -1/27)
(sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))
(fma.f64 1/9 a -1/27)
(log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))
(fma.f64 1/9 a -1/27)
(expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(fma.f64 a 1/9 -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1 (*.f64 a 1/9) -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a 1/9)) 2) (cbrt.f64 (.f64 a 1/9)) -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (.f64 (sqrt.f64 a) 1/3) (.f64 (sqrt.f64 a) 1/3) -1/27)
(fma.f64 1/9 a -1/27)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (/.f64 1 a))
✓	0.2b	(.f64 (.f64 1/3 rand) (+.f64 a -1/3))
	0.3b	(*.f64 1/3 rand)
✓	8.6b	(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 (*.f64 1/3 rand) (+.f64 a -1/3)))

Compiler

Compiled 39 to 28 computations (28.2% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	260	29
2	3305	29

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

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

Outputs

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

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

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

simplify105.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

741×	`fma-def_binary64`
394×	`distribute-rgt-in_binary64`
372×	`distribute-lft-in_binary64`
367×	`times-frac_binary64`
355×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	1984
1	730	1918
2	2198	1623

Stop Event

1×	node limit

Counts

162 → 172

Calls

Call 1

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

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

eval573.0ms (4.8%)

Compiler: Compiled 13839 to 10345 computations (25.2% saved)

prune257.0ms (2.1%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	814	5	819
Fresh	2	2	4
Picked	1	0	1
Done	3	6	9
Total	820	13	833

Error

Counts

833 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	51.9b	(/.f64 (.f64 1/3 (.f64 rand (+.f64 a -1/3))) (sqrt.f64 a))
	51.9b	(/.f64 1/3 (/.f64 (sqrt.f64 a) (*.f64 rand (+.f64 a -1/3))))
	50.1b	(-.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 a a) 1/81) 1/729) (-.f64 (.f64 a 1/9) -1/27))) rand) 1/3)
✓	46.1b	(-.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) 1/3)
✓	17.5b	(-.f64 a 1/3)
✓	0.1b	(+.f64 (+.f64 a -1/3) (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
✓	0.5b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
✓	45.7b	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
	45.7b	(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
✓	45.7b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	60.0b	(.f64 1/3 (sqrt.f64 (.f64 a (*.f64 rand rand))))
	18.8b	a
	63.1b	-1/3

Compiler

Compiled 135 to 106 computations (21.5% saved)

regimes221.0ms (1.9%)

Counts

34 → 1

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(.f64 1/3 (sqrt.f64 (.f64 a (*.f64 rand rand))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(.f64 1/3 (sqrt.f64 (.f64 (-.f64 a 1/3) (*.f64 rand rand))))
(-.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) 1/3)
(-.f64 (.f64 (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) rand) 1/3)
(/.f64 1/3 (/.f64 (sqrt.f64 a) (*.f64 rand (+.f64 a -1/3))))
(/.f64 (.f64 1/3 (.f64 rand (+.f64 a -1/3))) (sqrt.f64 a))
(.f64 (sqrt.f64 (/.f64 1 a)) (.f64 (*.f64 1/3 rand) (+.f64 a -1/3)))
(.f64 (.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(.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 a -1/3) (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2)))
(.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 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
(+.f64 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 (sqrt.f64 a) rand) 3)))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (neg.f64 rand) (.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))
(-.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 a a) 1/81) 1/729) (-.f64 (.f64 a 1/9) -1/27))) rand) 1/3)
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(+.f64 a (fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 rand 3) -1/3))
(+.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 -1/3 a))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))

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

Calls

6 calls:

69.0ms	rand
33.0ms	(-.f64 a (/.f64 1 3))
22.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
22.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
19.0ms	a

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`rand`
0.1b	1	`(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))`
0.1b	1	`(.f64 (-.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 465 to 353 computations (24.1% saved)

regimes29.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	a
11.0ms	rand

Results

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

Compiler

Compiled 155 to 111 computations (28.4% saved)

regimes26.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

Calls

2 calls:

11.0ms	rand
10.0ms	a

Results

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

Compiler

Compiled 143 to 102 computations (28.7% saved)

regimes101.0ms (0.8%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

67.0ms	a
29.0ms	rand

Results

Error	Segments	Branch
15.8b	3	`a`
4.3b	3	`rand`

Compiler

Compiled 119 to 85 computations (28.6% saved)

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	2.099035315872766e+80	4.677634771508374e+80
28.0ms	-1.8713426194963332e+83	-8.339499010826777e+67

Results

36.0ms

240×

body

256

valid

Compiler

Compiled 292 to 243 computations (16.8% saved)

regimes42.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	a
18.0ms	rand

Results

Error	Segments	Branch
15.8b	3	`a`
4.3b	3	`rand`

Compiler

Compiled 55 to 38 computations (30.9% saved)

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	2.099035315872766e+80	4.677634771508374e+80
27.0ms	-1.8713426194963332e+83	-8.339499010826777e+67

Results

35.0ms

240×

body

256

valid

Compiler

Compiled 282 to 233 computations (17.4% saved)

regimes35.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	a
13.0ms	rand

Results

Error	Segments	Branch
15.8b	3	`a`
4.3b	3	`rand`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch55.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	2.099035315872766e+80	4.677634771508374e+80
41.0ms	-1.8713426194963332e+83	-8.339499010826777e+67

Results

50.0ms

240×

body

256

valid

Compiler

Compiled 282 to 233 computations (17.4% saved)

regimes10.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(-.f64 a 1/3)

Calls

2 calls:

4.0ms	rand
4.0ms	a

Results

Error	Segments	Branch
17.5b	1	`a`
17.5b	1	`rand`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -44.6b remaining (-237.4%)

Threshold costs -44.6b (-237.4%)

Counts

2 → 1

Calls

Call 1

Inputs
-1/3
a

Outputs
a

Calls

2 calls:

3.0ms	a
3.0ms	rand

Results

Error	Segments	Branch
18.8b	1	`a`
18.8b	1	`rand`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	183
1	76	183
2	78	183

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 a -1/3) (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand -999999999999999943801810948794571024057224129020550531544123892056457216) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 210000000000000001372284361744536114452520388526402103092265845159192384403144704) (-.f64 a 1/3) (-.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) 1/3)))
(if (<=.f64 rand -280000000000000001152607926004575105845006995322161352310859816239104) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 269999999999999982958599238572048808239306984592796932744503336535191770248511488) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))))
(if (<=.f64 rand -5299999999999999831614821320961517181616444737467037649294937669969935073280) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 230000000000000004010413626400139237207951560854403072884269625663618117544181760) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) 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 a -1/3) (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (-.f64 a 1/3) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand -999999999999999943801810948794571024057224129020550531544123892056457216) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 210000000000000001372284361744536114452520388526402103092265845159192384403144704) (-.f64 a 1/3) (-.f64 (.f64 (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))) rand) 1/3)))
(if (<=.f64 rand -999999999999999943801810948794571024057224129020550531544123892056457216) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 210000000000000001372284361744536114452520388526402103092265845159192384403144704) (-.f64 a 1/3) (+.f64 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) -1/3)))
(if (<=.f64 rand -999999999999999943801810948794571024057224129020550531544123892056457216) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 210000000000000001372284361744536114452520388526402103092265845159192384403144704) (-.f64 a 1/3) (+.f64 -1/3 (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))))))
(if (<=.f64 rand -280000000000000001152607926004575105845006995322161352310859816239104) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 269999999999999982958599238572048808239306984592796932744503336535191770248511488) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))))
(if (<=.f64 rand -280000000000000001152607926004575105845006995322161352310859816239104) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 269999999999999982958599238572048808239306984592796932744503336535191770248511488) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(if (<=.f64 rand -5299999999999999831614821320961517181616444737467037649294937669969935073280) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 230000000000000004010413626400139237207951560854403072884269625663618117544181760) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(-.f64 a 1/3)
a
-1/3

Compiler

Compiled 142 to 110 computations (22.5% saved)

soundness278.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 345 to 296 computations (14.2% saved)

end82.0ms (0.7%)

Compiler: Compiled 126 to 94 computations (25.4% saved)