Details

analyze16.0ms (0.1%)

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
50%	25%	25%	0.1%	0%	50%	0%	4
50%	25%	25%	0.1%	0%	50%	0%	5
66.7%	25%	12.5%	0.1%	0%	62.4%	0%	6
66.7%	25%	12.5%	0.1%	0%	62.4%	0%	7
80%	25%	6.2%	0.1%	0%	68.7%	0%	8
80%	25%	6.2%	0.1%	0%	68.7%	0%	9
88.9%	25%	3.1%	0.1%	0%	71.8%	0%	10
88.9%	25%	3.1%	0.1%	0%	71.8%	0%	11
94.1%	25%	1.6%	0.1%	0%	73.4%	0%	12

Compiler

Compiled 23 to 20 computations (13% saved)

sample1.5s (12.8%)

Results

1.3s	7217×	body	256	valid
179.0ms	1039×	body	256	infinite
51.0ms	492×	body	256	invalid

Bogosity

preprocess277.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

4948×	`fma-def`
860×	`fma-neg`
786×	`sub-neg`
556×	`unsub-neg`
532×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	94
1	54	82
2	148	74
3	420	74
4	1018	74
5	1890	74
6	2822	74
7	4144	74
8	5297	74
9	6044	74
10	6202	74
11	6213	74
12	6217	74
13	6405	74
14	6462	74
15	6462	74
16	6462	74
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 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 9 (+.f64 rand -1/3))))))
(*.f64 (+.f64 rand -1/3) (+.f64 1 (/.f64 a (sqrt.f64 (fma.f64 9 rand -3)))))
(*.f64 (+.f64 rand -1/3) (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 rand -3))) -1))
(*.f64 (-.f64 1/3 rand) (-.f64 -1 (/.f64 a (sqrt.f64 (fma.f64 9 rand -3)))))

Compiler

Compiled 24 to 21 computations (12.5% saved)

simplify167.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2372×	`fma-def`
1216×	`fma-neg`
362×	`distribute-rgt-in`
358×	`distribute-lft-in`
340×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	34	41
2	87	37
3	212	37
4	516	37
5	963	37
6	1443	37
7	2405	37
8	3613	37
9	4097	37
10	4255	37
11	4288	37
12	4288	37
13	4841	37
14	4841	37

Stop Event

1×

saturated

Counts

1 → 4

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

eval1.0ms (0%)

Compiler: Compiled 65 to 53 computations (18.5% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

99.9%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
▶	99.9%	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize86.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
✓	99.8%	(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
✓	99.6%	(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
✓	99.6%	(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)

Compiler

Compiled 68 to 55 computations (19.1% saved)

series12.0ms (0.1%)

Counts

4 → 42

Calls

18 calls:

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

rewrite139.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`prod-diff`
1450×	`log-prod`
882×	`fma-def`
542×	`expm1-udef`
538×	`log1p-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	324	98
2	4239	82

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

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

simplify202.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

924×	`associate-+r+`
594×	`cancel-sign-sub-inv`
454×	`fma-neg`
450×	`associate-r`
422×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	517	9569
1	1295	8941
2	4596	8603

Stop Event

1×	node limit

Counts

235 → 313

Calls

Call 1

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

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

localize95.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 9 a) -3)
✓	99.9%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
✓	99.8%	(sqrt.f64 (+.f64 (*.f64 9 a) -3))
✓	99.7%	(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))

Compiler

Compiled 58 to 45 computations (22.4% saved)

series9.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

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

rewrite117.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`log-prod`
1396×	`prod-diff`
940×	`fma-def`
604×	`expm1-udef`
598×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	354	76
2	4697	76

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

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

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

simplify211.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

582×	`fma-neg`
564×	`associate-r`
524×	`exp-prod`
500×	`log-prod`
492×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	9424
1	1375	9042
2	5168	8944

Stop Event

1×	node limit

Counts

258 → 314

Calls

Call 1

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

eval505.0ms (4.3%)

Compiler: Compiled 14659 to 11589 computations (20.9% saved)

prune174.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	619	8	627
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	620	9	629

Accurracy

100.0%

Counts

629 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
	99.8%	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	65.1%	(-.f64 a 1/3)
▶	99.1%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	99.9%	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
	29.7%	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
▶	35.0%	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
▶	35.1%	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	63.7%	a

Compiler

Compiled 185 to 147 computations (20.5% saved)

localize90.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 a -1/3)
✓	100.0%	(sqrt.f64 (+.f64 a -1/3))
✓	99.8%	(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
✓	99.6%	(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))

Compiler

Compiled 31 to 22 computations (29% saved)

series7.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`log-prod`
766×	`prod-exp`
672×	`pow-prod-down`
552×	`pow-prod-up`
520×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	248	66
2	2931	66

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

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

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

646×	`associate-+l+`
642×	`log-prod`
622×	`cancel-sign-sub-inv`
590×	`associate-+r+`
458×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	4687
1	937	4437
2	3145	4425

Stop Event

1×	node limit

Counts

209 → 237

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 a 1/3)

Compiler

Compiled 8 to 6 computations (25% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1154×	`pow1`
1080×	`add-exp-log`
1080×	`log1p-expm1-u`
1080×	`expm1-log1p-u`
1062×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1406	7

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(-.f64 a 1/3)

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

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-def`
780×	`distribute-rgt-in`
746×	`distribute-lft-in`
586×	`associate-r`
538×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	503
1	163	423
2	488	423
3	2843	413

Stop Event

1×	node limit

Counts

33 → 34

Calls

Call 1

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

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

localize67.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 a 1/3))
	100.0%	(-.f64 a 1/3)
✓	99.6%	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
✓	99.5%	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series3.0ms (0%)

Counts

3 → 12

Calls

15 calls:

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

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`log-prod`
754×	`exp-prod`
714×	`prod-exp`
622×	`pow-prod-down`
496×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	212	51
2	2594	51

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

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

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

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1570×	`fma-def`
1098×	`distribute-lft-in`
1064×	`distribute-rgt-in`
992×	`unswap-sqr`
460×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	2738
1	652	2668
2	1917	2632

Stop Event

1×	node limit

Counts

110 → 164

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

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

localize35.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 a -1/3)
	100.0%	(sqrt.f64 (+.f64 a -1/3))
✓	99.6%	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
✓	99.5%	(*.f64 1/3 rand)

Compiler

Compiled 25 to 18 computations (28% saved)

series26.0ms (0.2%)

Counts

2 → 16

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	rand	@	-inf	(*.f64 1/3 rand)
0.0ms	rand	@	inf	(*.f64 1/3 rand)
0.0ms	rand	@	0	(*.f64 1/3 rand)
0.0ms	a	@	-inf	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
0.0ms	a	@	inf	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`log-prod`
780×	`exp-prod`
746×	`prod-exp`
650×	`pow-prod-down`
508×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	230	30
2	2738	30

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

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

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1148×	`fma-def`
798×	`times-frac`
768×	`log-prod`
768×	`prod-exp`
648×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	1838
1	434	1766
2	1263	1746
3	5417	1746

Stop Event

1×	node limit

Counts

76 → 88

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

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

localize120.0ms (1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 a -1/3)
✓	99.9%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	99.8%	(sqrt.f64 (*.f64 9 a))
✓	99.7%	(/.f64 rand (sqrt.f64 (*.f64 9 a)))

Compiler

Compiled 44 to 32 computations (27.3% saved)

series6.0ms (0.1%)

Counts

3 → 26

Calls

15 calls:

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

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1378×	`log-prod`
1170×	`prod-diff`
750×	`fma-def`
516×	`expm1-udef`
512×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	303	59
2	4048	59

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

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

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

simplify115.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1110×	`unswap-sqr`
1026×	`times-frac`
784×	`cancel-sign-sub-inv`
460×	`fma-neg`
446×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	392	7210
1	995	6928
2	3708	6796

Stop Event

1×	node limit

Counts

194 → 261

Calls

Call 1

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

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

eval548.0ms (4.6%)

Compiler: Compiled 18300 to 13662 computations (25.3% saved)

prune396.0ms (3.3%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1057	7	1064
Fresh	0	3	3
Picked	0	1	1
Done	2	3	5
Total	1059	14	1073

Accurracy

100.0%

Counts

1073 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	65.1%	(-.f64 a 1/3)
▶	99.0%	(+.f64 (+.f64 a -1/3) (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
✓	99.1%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
	99.0%	(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))))
▶	29.7%	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
✓	35.0%	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
	35.0%	(.f64 rand (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
✓	35.1%	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶	34.2%	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
	13.2%	(.f64 1/3 (sqrt.f64 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
▶	13.3%	(sqrt.f64 (.f64 1/9 (.f64 rand (*.f64 rand (+.f64 -1/3 a)))))
	63.7%	a
	1.5%	-1/3

Compiler

Compiled 253 to 198 computations (21.7% saved)

localize99.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sqrt.f64 (-.f64 a 1/3))
✓	100.0%	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
	99.6%	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
	99.5%	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 49 to 35 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1162×	`log-prod`
802×	`pow-prod-down`
802×	`fma-def`
562×	`pow-prod-up`
544×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	243	25
2	3219	25

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

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

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

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

870×	`associate-+r+`
782×	`fma-def`
596×	`div-sub`
456×	`cancel-sign-sub-inv`
452×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	3294
1	493	3238
2	1358	2916
3	4691	2916

Stop Event

1×	node limit

Counts

80 → 103

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(*.f64 (sqrt.f64 a) rand)
✓	99.5%	(.f64 1/3 (.f64 (sqrt.f64 a) rand))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series4.0ms (0%)

Counts

2 → 0

Calls

12 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`pow1`
1472×	`add-exp-log`
1472×	`log1p-expm1-u`
1472×	`expm1-log1p-u`
1438×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	179	28
2	2048	28

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

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

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1130×	`fma-def`
1106×	`distribute-rgt-in`
1092×	`distribute-lft-in`
694×	`associate-+r+`
676×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	560
1	140	440
2	573	320
3	2086	316

Stop Event

1×	node limit

Counts

22 → 32

Calls

Call 1

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

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

localize49.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 rand (+.f64 -1/3 a))
✓	99.8%	(.f64 rand (.f64 rand (+.f64 -1/3 a)))
✓	99.7%	(.f64 1/9 (.f64 rand (*.f64 rand (+.f64 -1/3 a))))
✓	69.2%	(sqrt.f64 (.f64 1/9 (.f64 rand (*.f64 rand (+.f64 -1/3 a)))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series6.0ms (0%)

Counts

4 → 88

Calls

24 calls:

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

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`log-prod`
882×	`pow-prod-down`
570×	`pow-prod-up`
532×	`pow-unpow`
526×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	86
1	259	80
2	3295	80

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

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

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

simplify118.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1538×	`log-prod`
534×	`cube-prod`
530×	`times-frac`
510×	`fma-neg`
496×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	408	5723
1	935	5591
2	2621	5423
3	6550	5419

Stop Event

1×	node limit

Counts

249 → 255

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

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

localize59.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 9 a) 3)
✓	99.8%	(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
✓	99.6%	(/.f64 1 (-.f64 (*.f64 9 a) 3))
✓	89.9%	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))

Compiler

Compiled 54 to 42 computations (22.2% saved)

series10.0ms (0.1%)

Counts

4 → 23

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
2.0ms	a	@	inf	(/.f64 1 (-.f64 (*.f64 9 a) 3))
1.0ms	a	@	inf	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
0.0ms	a	@	-inf	(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
0.0ms	a	@	0	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`log-prod`
694×	`pow-exp`
580×	`expm1-udef`
576×	`log1p-udef`
572×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	80
1	345	70
2	4181	70

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

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

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

simplify148.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

580×	`prod-exp`
578×	`exp-prod`
462×	`associate-r`
462×	`log-prod`
452×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	434	4764
1	989	4482
2	3568	4312

Stop Event

1×	node limit

Counts

186 → 251

Calls

Call 1

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

localize49.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 a -1/3) (.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
✓	99.6%	(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
✓	99.4%	(/.f64 1/3 (sqrt.f64 a))
✓	91.7%	(.f64 (.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3))

Compiler

Compiled 46 to 28 computations (39.1% saved)

series7.0ms (0.1%)

Counts

4 → 38

Calls

21 calls:

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

rewrite136.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`log-prod`
1252×	`fma-def`
530×	`fma-neg`
528×	`expm1-udef`
524×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	92
1	298	88
2	4274	88

Stop Event

1×	node limit

Counts

4 → 243

Calls

Call 1

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

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

simplify203.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1004×	`associate-r`
884×	`associate-l`
782×	`fma-neg`
758×	`log-prod`
616×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	518	11067
1	1346	10257
2	5806	10215

Stop Event

1×	node limit

Counts

281 → 327

Calls

Call 1

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

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

eval534.0ms (4.5%)

Compiler: Compiled 22180 to 15913 computations (28.3% saved)

prune245.0ms (2.1%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1128	4	1132
Fresh	2	3	5
Picked	1	0	1
Done	1	7	8
Total	1132	14	1146

Accurracy

100.0%

Counts

1146 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	65.1%	(-.f64 a 1/3)
▶	99.0%	(+.f64 (+.f64 a -1/3) (.f64 (.f64 rand (sqrt.f64 (/.f64 1/9 a))) (+.f64 a -1/3)))
✓	99.1%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	29.7%	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
▶	28.9%	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
✓	35.0%	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
▶	35.0%	(.f64 rand (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
✓	35.1%	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
✓	34.2%	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
▶	12.6%	(.f64 1/3 (sqrt.f64 (.f64 a (*.f64 rand rand))))
▶	12.7%	(sqrt.f64 (.f64 1/9 (.f64 rand (*.f64 a rand))))
	63.7%	a
	1.5%	-1/3

Compiler

Compiled 199 to 152 computations (23.6% saved)

localize138.0ms (1.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(sqrt.f64 (/.f64 1/9 a))
✓	99.6%	(*.f64 rand (sqrt.f64 (/.f64 1/9 a)))
✓	99.4%	(/.f64 1/9 a)
✓	91.7%	(.f64 (.f64 rand (sqrt.f64 (/.f64 1/9 a))) (+.f64 a -1/3))

Compiler

Compiled 47 to 33 computations (29.8% saved)

series4.0ms (0%)

Counts

4 → 24

Calls

18 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`log-prod`
926×	`pow-prod-down`
660×	`prod-diff`
574×	`pow-prod-up`
538×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	265	64
2	3416	64

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

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

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

simplify139.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

974×	`times-frac`
670×	`log-prod`
610×	`associate-r`
596×	`associate-l`
586×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	397	5643
1	905	5035
2	3576	4743

Stop Event

1×	node limit

Counts

195 → 215

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 rand (.f64 a rand))
✓	99.7%	(.f64 1/9 (.f64 rand (*.f64 a rand)))
✓	69.2%	(sqrt.f64 (.f64 1/9 (.f64 rand (*.f64 a rand))))

Compiler

Compiled 29 to 11 computations (62.1% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

18 calls:

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

rewrite104.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1820×	`pow1`
1674×	`add-exp-log`
1674×	`log1p-expm1-u`
1674×	`expm1-log1p-u`
1636×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	202	55
2	2337	55

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1334×	`log-prod`
928×	`associate-*r/`
798×	`unswap-sqr`
756×	`associate-*l/`
520×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	2263
1	270	2119
2	1000	1975
3	3886	1975

Stop Event

1×	node limit

Counts

111 → 69

Calls

Call 1

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

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

localize51.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(.f64 1/3 (sqrt.f64 (.f64 a (*.f64 rand rand))))
✓	88.5%	(.f64 a (.f64 rand rand))
✓	69.3%	(sqrt.f64 (.f64 a (.f64 rand rand)))

Compiler

Compiled 28 to 9 computations (67.9% saved)

series2.0ms (0%)

Counts

3 → 48

Calls

18 calls:

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

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`pow1`
1620×	`add-exp-log`
1620×	`log1p-expm1-u`
1620×	`expm1-log1p-u`
1582×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	200	41
2	2312	41

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

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

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1946×	`fma-def`
1284×	`log-prod`
934×	`fma-neg`
912×	`unswap-sqr`
472×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1323
1	273	1323
2	1190	1323
3	4094	1321
4	7975	1321

Stop Event

1×	node limit

Counts

97 → 63

Calls

Call 1

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

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

localize67.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 a -1/3)
	100.0%	(sqrt.f64 (+.f64 a -1/3))
✓	99.6%	(.f64 rand (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
✓	99.6%	(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)

Compiler

Compiled 28 to 21 computations (25% saved)

series46.0ms (0.4%)

Counts

2 → 20

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	a	@	0	(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)
1.0ms	a	@	-inf	(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)
0.0ms	a	@	inf	(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)
0.0ms	a	@	-inf	(.f64 rand (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
0.0ms	a	@	inf	(.f64 rand (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`log-prod`
776×	`exp-prod`
732×	`prod-exp`
648×	`pow-prod-down`
508×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	230	40
2	2741	40

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1108×	`times-frac`
1106×	`fma-def`
742×	`log-prod`
624×	`unswap-sqr`
564×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	2148
1	436	2062
2	1287	2054
3	5321	1798

Stop Event

1×	node limit

Counts

74 → 104

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

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

localize49.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 a 1/3) rand)
	99.8%	(sqrt.f64 (/.f64 1/9 a))
	99.4%	(/.f64 1/9 a)
✓	89.9%	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))

Compiler

Compiled 32 to 22 computations (31.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite159.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`log-prod`
836×	`pow-prod-down`
570×	`pow-prod-up`
530×	`pow-exp`
448×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	259	42
2	3202	42

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1040×	`distribute-lft-in`
1012×	`distribute-rgt-in`
850×	`fma-def`
744×	`log-prod`
506×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1910
1	335	1834
2	1143	1706
3	6150	1706

Stop Event

1×	node limit

Counts

78 → 83

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

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

eval450.0ms (3.8%)

Compiler: Compiled 11709 to 8248 computations (29.6% saved)

prune261.0ms (2.2%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	736	5	741
Fresh	0	2	2
Picked	1	0	1
Done	3	8	11
Total	740	15	755

Accurracy

100.0%

Counts

755 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	65.1%	(-.f64 a 1/3)
✓	99.0%	(+.f64 (+.f64 a -1/3) (.f64 (.f64 rand (sqrt.f64 (/.f64 1/9 a))) (+.f64 a -1/3)))
	34.2%	(.f64 (+.f64 a -1/3) (/.f64 (.f64 rand 1/3) (sqrt.f64 a)))
✓	99.1%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	29.7%	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
	28.9%	(.f64 (.f64 a rand) (sqrt.f64 (/.f64 1/9 a)))
	34.2%	(.f64 (sqrt.f64 a) (.f64 rand 1/3))
	34.2%	(.f64 rand (.f64 (sqrt.f64 a) 1/3))
	35.1%	(.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9)))
✓	34.2%	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
✓	12.6%	(.f64 1/3 (sqrt.f64 (.f64 a (*.f64 rand rand))))
✓	12.7%	(sqrt.f64 (.f64 1/9 (.f64 rand (*.f64 a rand))))
	63.7%	a
	1.5%	-1/3

Compiler

Compiled 409 to 299 computations (26.9% saved)

regimes130.0ms (1.1%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

4 calls:

76.0ms	(-.f64 a (/.f64 1 3))
19.0ms	a
15.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
13.0ms	rand

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`rand`
99.9%	1	`(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))`
99.9%	1	`(-.f64 a (/.f64 1 3))`

Compiler

Compiled 297 to 216 computations (27.3% saved)

regimes31.0ms (0.3%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	rand
12.0ms	a

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`rand`

Compiler

Compiled 221 to 153 computations (30.8% saved)

regimes28.0ms (0.2%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	rand
10.0ms	a

Results

Accuracy	Segments	Branch
99.8%	1	`a`
99.8%	1	`rand`

Compiler

Compiled 179 to 123 computations (31.3% saved)

regimes23.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	a
9.0ms	rand

Results

Accuracy	Segments	Branch
99.1%	1	`a`
99.1%	1	`rand`

Compiler

Compiled 139 to 92 computations (33.8% saved)

regimes88.0ms (0.7%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

2 calls:

60.0ms	rand
25.0ms	a

Results

Accuracy	Segments	Branch
68.4%	3	`a`
92.6%	3	`rand`

Compiler

Compiled 127 to 83 computations (34.6% saved)

regimes19.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

1 calls:

17.0ms

rand

Results

Accuracy	Segments	Branch
92.6%	3	`rand`

Compiler

Compiled 52 to 33 computations (36.5% saved)

regimes17.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

rand

Results

Accuracy	Segments	Branch
92.1%	3	`rand`

Compiler

Compiled 44 to 27 computations (38.6% saved)

regimes13.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

rand

Results

Accuracy	Segments	Branch
92.1%	3	`rand`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes12.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

rand

Results

Accuracy	Segments	Branch
92.0%	3	`rand`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes8.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(-.f64 a 1/3)

Calls

2 calls:

4.0ms	a
3.0ms	rand

Results

Accuracy	Segments	Branch
65.1%	1	`a`
65.1%	1	`rand`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes7.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
-1/3
a

Outputs
a

Calls

2 calls:

3.0ms	a
3.0ms	rand

Results

Accuracy	Segments	Branch
63.7%	1	`rand`
63.7%	1	`a`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1/3

Outputs
-1/3

Calls

2 calls:

3.0ms	a
2.0ms	rand

Results

Accuracy	Segments	Branch
1.5%	1	`rand`
1.5%	1	`a`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch41.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.2763812415799253e+71	1.5647676055881651e+72
21.0ms	-5.07857273302916e+107	-2.839584710622225e+100

Results

38.0ms

240×

body

256

valid

Compiler

Compiled 282 to 233 computations (17.4% saved)

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.2763812415799253e+71	1.5647676055881651e+72
21.0ms	-5.07857273302916e+107	-2.839584710622225e+100

Results

32.0ms

240×

body

256

valid

Compiler

Compiled 282 to 233 computations (17.4% saved)

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.2763812415799253e+71	1.5647676055881651e+72
21.0ms	-5.07857273302916e+107	-2.839584710622225e+100

Results

31.0ms

240×

body

256

valid

Compiler

Compiled 252 to 203 computations (19.4% saved)

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.2763812415799253e+71	1.5647676055881651e+72
20.0ms	-5.07857273302916e+107	-2.839584710622225e+100

Results

31.0ms

240×

body

256

valid

Compiler

Compiled 252 to 203 computations (19.4% saved)

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2763812415799253e+71	1.5647676055881651e+72
20.0ms	-5.07857273302916e+107	-2.839584710622225e+100

Results

31.0ms

240×

body

256

valid

Compiler

Compiled 252 to 203 computations (19.4% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative`
18×	`+-commutative`
6×	`sub-neg`
4×	`if-if-or-not`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	460
1	110	460
2	115	460
3	117	460
4	118	460

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.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 9 a) -3)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(if (<=.f64 rand -34999999999999997642597850503003525260069969738530124900624387873908153824877719104490717142686105600) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 1149999999999999925564111129572067984172386774611654336115812093889871872) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -31999999999999998954757401731734120763185061945809775133374776943081467069495291603479675790575009792) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 140000000000000000959427848218759767512090254448657972060114688665452544) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -29000000000000000266916952960464716266300154153089425366125166012254780314112864102468634438463913984) (.f64 (sqrt.f64 a) (.f64 rand 1/3)) (if (<=.f64 rand 1450000000000000085248140721960835774271131541033437448457796137057779712) (-.f64 a 1/3) (.f64 rand (.f64 (sqrt.f64 a) 1/3))))
(if (<=.f64 rand -31000000000000000687256513625130366543864697230582262972562799334232252318909422262412185476676976640) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 320000000000000023210059642089355240370679811086887025765827249753292800) (-.f64 a 1/3) (.f64 rand (.f64 (sqrt.f64 a) 1/3))))
(if (<=.f64 rand -29000000000000000266916952960464716266300154153089425366125166012254780314112864102468634438463913984) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 740000000000000001568414532891412809173398140027914004046345360812015616) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(-.f64 a 1/3)
a
-1/3

Outputs
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 a 9) -3)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(if (<=.f64 rand -34999999999999997642597850503003525260069969738530124900624387873908153824877719104490717142686105600) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 1149999999999999925564111129572067984172386774611654336115812093889871872) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -34999999999999997642597850503003525260069969738530124900624387873908153824877719104490717142686105600) (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) (if (<=.f64 rand 1149999999999999925564111129572067984172386774611654336115812093889871872) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -31999999999999998954757401731734120763185061945809775133374776943081467069495291603479675790575009792) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 140000000000000000959427848218759767512090254448657972060114688665452544) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (or (<=.f64 rand -31999999999999998954757401731734120763185061945809775133374776943081467069495291603479675790575009792) (not (<=.f64 rand 140000000000000000959427848218759767512090254448657972060114688665452544))) (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) (-.f64 a 1/3))
(if (<=.f64 rand -29000000000000000266916952960464716266300154153089425366125166012254780314112864102468634438463913984) (.f64 (sqrt.f64 a) (.f64 rand 1/3)) (if (<=.f64 rand 1450000000000000085248140721960835774271131541033437448457796137057779712) (-.f64 a 1/3) (.f64 rand (.f64 (sqrt.f64 a) 1/3))))
(if (<=.f64 rand -29000000000000000266916952960464716266300154153089425366125166012254780314112864102468634438463913984) (.f64 (sqrt.f64 a) (.f64 rand 1/3)) (if (<=.f64 rand 1450000000000000085248140721960835774271131541033437448457796137057779712) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 a)))))
(if (<=.f64 rand -31000000000000000687256513625130366543864697230582262972562799334232252318909422262412185476676976640) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 320000000000000023210059642089355240370679811086887025765827249753292800) (-.f64 a 1/3) (.f64 rand (.f64 (sqrt.f64 a) 1/3))))
(if (<=.f64 rand -31000000000000000687256513625130366543864697230582262972562799334232252318909422262412185476676976640) (.f64 1/3 (.f64 rand (sqrt.f64 a))) (if (<=.f64 rand 320000000000000023210059642089355240370679811086887025765827249753292800) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 a)))))
(if (<=.f64 rand -29000000000000000266916952960464716266300154153089425366125166012254780314112864102468634438463913984) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 740000000000000001568414532891412809173398140027914004046345360812015616) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(if (or (<=.f64 rand -29000000000000000266916952960464716266300154153089425366125166012254780314112864102468634438463913984) (not (<=.f64 rand 740000000000000001568414532891412809173398140027914004046345360812015616))) (.f64 1/3 (.f64 rand (sqrt.f64 a))) (-.f64 a 1/3))
(-.f64 a 1/3)
a
-1/3

Compiler

Compiled 194 to 147 computations (24.2% saved)

soundness1.3s (11%)

Rules

2372×	`fma-def`
2372×	`fma-def`
1946×	`fma-def`
1946×	`fma-def`
1604×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	34	41
2	87	37
3	212	37
4	516	37
5	963	37
6	1443	37
7	2405	37
8	3613	37
9	4097	37
10	4255	37
11	4288	37
12	4288	37
13	4841	37
14	4841	37
0	9	28
1	179	28
2	2048	28
0	115	1323
1	273	1323
2	1190	1323
3	4094	1321
4	7975	1321
0	115	1323
1	273	1323
2	1190	1323
3	4094	1321
4	7975	1321
0	517	9569
1	1295	8941
2	4596	8603
0	412	4687
1	937	4437
2	3145	4425
0	11	40
1	230	40
2	2741	40
0	17	47
1	34	41
2	87	37
3	212	37
4	516	37
5	963	37
6	1443	37
7	2405	37
8	3613	37
9	4097	37
10	4255	37
11	4288	37
12	4288	37
13	4841	37
14	4841	37

Stop Event

1×	saturated
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 762 to 585 computations (23.2% saved)

end152.0ms (1.3%)

Compiler: Compiled 388 to 282 computations (27.3% saved)