Details

analyze15.0ms (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)

sample1.6s (15.3%)

Results

1.4s	7251×	body	256	valid
167.0ms	1005×	body	256	infinite
57.0ms	477×	body	256	invalid

Bogosity

preprocess281.0ms (2.6%)

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)

simplify177.0ms (1.6%)

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
▶	99.8%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (.f64 9 a) -3)))))
▶	99.8%	(.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)

localize125.0ms (1.2%)

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)

rewrite107.0ms (1%)

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))

simplify142.0ms (1.3%)

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))

localize120.0ms (1.1%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 58 to 45 computations (22.4% saved)

series11.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

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

rewrite113.0ms (1.1%)

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)

simplify184.0ms (1.7%)

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)

eval398.0ms (3.7%)

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

prune138.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	619	8	627
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	621	8	629

Accurracy

100.0%

Counts

629 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 3)
▶	99.8%	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	66.0%	(-.f64 a 1/3)
▶	98.4%	(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
	28.2%	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
▶	35.2%	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
▶	35.3%	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	64.4%	a

Compiler

Compiled 177 to 142 computations (19.8% saved)

localize89.0ms (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))
✓	99.6%	(*.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)

series8.0ms (0.1%)

Counts

4 → 15

Calls

18 calls:

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

rewrite79.0ms (0.7%)

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	58
1	212	58
2	2594	58

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

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

simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1390×	`log-prod`
616×	`associate-/l*`
518×	`log-pow`
482×	`sqr-pow`
392×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	406	3630
1	895	3470
2	2751	3442
3	7043	3442

Stop Event

1×	node limit

Counts

176 → 227

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

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

localize69.0ms (0.6%)

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)

localize43.0ms (0.4%)

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)) rand)
	99.5%	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 27 to 19 computations (29.6% saved)

localize37.0ms (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))
✓	99.5%	(*.f64 1/3 rand)
✓	99.5%	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))

Compiler

Compiled 25 to 18 computations (28% saved)

series2.0ms (0%)

Counts

4 → 32

Calls

15 calls:

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

rewrite104.0ms (1%)

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	48
1	230	48
2	2736	48

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

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

simplify104.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1346×	`log-prod`
734×	`exp-prod`
550×	`associate-/l*`
496×	`log-pow`
476×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	3675
1	873	3523
2	2653	3387
3	6861	3387

Stop Event

1×	node limit

Counts

191 → 222

Calls

Call 1

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

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

localize56.0ms (0.5%)

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))
✓	99.6%	(/.f64 rand (sqrt.f64 (*.f64 9 a)))

Compiler

Compiled 44 to 32 computations (27.3% saved)

series7.0ms (0.1%)

Counts

3 → 26

Calls

15 calls:

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

rewrite100.0ms (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))

simplify113.0ms (1.1%)

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

eval683.0ms (6.4%)

Compiler: Compiled 18510 to 13964 computations (24.6% saved)

prune197.0ms (1.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1074	9	1083
Fresh	1	2	3
Picked	1	0	1
Done	1	3	4
Total	1077	14	1091

Accurracy

100.0%

Counts

1091 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.8%	(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
▶	98.4%	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
✓	66.0%	(-.f64 a 1/3)
	98.3%	(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
▶	28.2%	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
✓	35.2%	(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
	33.7%	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
▶	35.2%	(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
▶	96.7%	(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	35.3%	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶	33.8%	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
	12.0%	(.f64 1/3 (sqrt.f64 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
	64.4%	a
	1.5%	-1/3

Compiler

Compiled 231 to 181 computations (21.6% saved)

localize35.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 36 to 16 computations (55.6% saved)

series8.0ms (0.1%)

Counts

4 → 29

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(*.f64 (sqrt.f64 a) rand)
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))

rewrite92.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1172×	`fma-def`
1170×	`log-prod`
844×	`pow-prod-down`
568×	`pow-exp`
564×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	72
1	246	72
2	3323	72

Stop Event

1×	node limit

Counts

4 → 213

Calls

Call 1

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

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

simplify121.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1098×	`unswap-sqr`
890×	`cancel-sign-sub-inv`
696×	`associate-+r+`
556×	`fma-neg`
532×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	428	7438
1	960	7236
2	3012	6810

Stop Event

1×	node limit

Counts

242 → 268

Calls

Call 1

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

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

localize64.0ms (0.6%)

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)

localize40.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 28 to 21 computations (25% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

15 calls:

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

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1024×	`log-prod`
784×	`exp-prod`
734×	`prod-exp`
640×	`pow-prod-down`
510×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	230	58
2	2751	58

Stop Event

1×	node limit

Counts

4 → 157

Calls

Call 1

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

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

simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1162×	`log-prod`
736×	`exp-prod`
588×	`associate-/l*`
498×	`log-pow`
464×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	404	3951
1	894	3813
2	2694	3765
3	6754	3765

Stop Event

1×	node limit

Counts

193 → 234

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

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

localize48.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

series2.0ms (0%)

Counts

1 → 14

Calls

6 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`log-prod`
958×	`prod-diff`
806×	`pow-prod-down`
580×	`fma-def`
564×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	252	25
2	3271	25

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

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

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

742×	`fma-def`
672×	`cancel-sign-sub-inv`
588×	`distribute-lft-neg-in`
484×	`fma-neg`
444×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	2193
1	399	1903
2	1104	1837
3	4809	1765

Stop Event

1×	node limit

Counts

77 → 88

Calls

Call 1

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

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

localize133.0ms (1.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(-.f64 (*.f64 9 a) 3)
✓	99.8%	(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
✓	99.7%	(/.f64 1 (-.f64 (*.f64 9 a) 3))
✓	87.0%	(.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)

series40.0ms (0.4%)

Counts

4 → 23

Calls

15 calls:

Time	Variable		Point	Expression
34.0ms	a	@	0	(/.f64 1 (-.f64 (*.f64 9 a) 3))
1.0ms	a	@	-inf	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
1.0ms	a	@	inf	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
1.0ms	rand	@	0	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
1.0ms	a	@	-inf	(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))

rewrite143.0ms (1.3%)

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)

simplify104.0ms (1%)

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

eval627.0ms (5.8%)

Compiler: Compiled 16942 to 11607 computations (31.5% saved)

prune297.0ms (2.8%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1000	4	1004
Fresh	2	4	6
Picked	0	1	1
Done	3	4	7
Total	1005	13	1018

Accurracy

100.0%

Counts

1018 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.8%	(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
✓	66.0%	(-.f64 a 1/3)
▶	96.8%	(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 a) rand)))
✓	28.2%	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
▶	33.7%	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
▶	33.8%	(.f64 rand (.f64 1/3 (sqrt.f64 a)))
▶	35.3%	(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
✓	96.7%	(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	35.3%	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
✓	33.8%	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
▶	11.6%	(.f64 1/3 (sqrt.f64 (.f64 a (*.f64 rand rand))))
	64.4%	a
	1.5%	-1/3

Compiler

Compiled 165 to 127 computations (23% saved)

localize141.0ms (1.3%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 26 to 11 computations (57.7% saved)

series1.0ms (0%)

Counts

1 → 5

Calls

6 calls:

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

rewrite115.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`log-prod`
806×	`prod-exp`
696×	`pow-prod-down`
630×	`fma-def`
496×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	210	19
2	2718	19

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

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

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

748×	`fma-neg`
678×	`distribute-lft-neg-in`
674×	`cancel-sign-sub-inv`
660×	`fma-def`
622×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2275
1	437	2165
2	1181	2081
3	4133	2081

Stop Event

1×	node limit

Counts

73 → 87

Calls

Call 1

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

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

localize62.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 18 to 10 computations (44.4% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

9 calls:

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

rewrite74.0ms (0.7%)

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

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

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1612×	`log-prod`
1224×	`associate-r`
1194×	`associate-l`
1138×	`fma-def`
562×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	638
1	139	578
2	542	518
3	3928	516
4	7831	516

Stop Event

1×	node limit

Counts

34 → 28

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite58.0ms (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	17
1	179	17
2	2046	17

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1860×	`log-prod`
898×	`distribute-rgt-in`
886×	`distribute-lft-out`
880×	`distribute-lft-in`
784×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	391
1	95	391
2	332	391
3	2050	391
4	6088	391

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

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

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

localize29.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(.f64 1/3 (sqrt.f64 (.f64 a (*.f64 rand rand))))
✓	89.6%	(.f64 a (.f64 rand rand))
✓	59.9%	(sqrt.f64 (.f64 a (.f64 rand rand)))

Compiler

Compiled 28 to 9 computations (67.9% saved)

series11.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	a	@	0	(.f64 a (.f64 rand rand))
0.0ms	rand	@	0	(.f64 a (.f64 rand rand))
0.0ms	rand	@	inf	(.f64 a (.f64 rand rand))
0.0ms	a	@	inf	(.f64 a (.f64 rand rand))
0.0ms	a	@	-inf	(.f64 a (.f64 rand rand))

rewrite66.0ms (0.6%)

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)))

simplify117.0ms (1.1%)

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))

localize39.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 -1/27 (*.f64 a 1/9))
✓	99.8%	(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
✓	99.6%	(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
✓	99.4%	(*.f64 a 1/9)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series5.0ms (0%)

Counts

4 → 44

Calls

15 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`log-prod`
758×	`exp-prod`
698×	`prod-exp`
608×	`pow-prod-down`
500×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	60
1	229	48
2	2723	48

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

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

Outputs
(+.f64 0 (*.f64 a 1/9))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) a)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) a))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) a))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1)
(pow.f64 (*.f64 a 1/9) 1)
(pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)
(pow.f64 (.f64 (.f64 a a) 1/81) 1/2)
(pow.f64 (*.f64 1/729 (pow.f64 a 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 a 1/9)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a 1/9))) 2)) (cbrt.f64 (log.f64 (.f64 a 1/9))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a 1/9)))) (sqrt.f64 (log.f64 (.f64 a 1/9))))
(sqrt.f64 (.f64 (.f64 a a) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/9))))
(cbrt.f64 (*.f64 1/729 (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 a 1/9)))
(exp.f64 (log.f64 (*.f64 a 1/9)))
(exp.f64 (.f64 (log.f64 (.f64 a 1/9)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 a 1/9)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a 1/9))) 3))
(exp.f64 (.f64 (log.f64 (.f64 1/729 (pow.f64 a 3))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 a 1/9)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 a) 1/3)) 2))
(log1p.f64 (expm1.f64 (*.f64 a 1/9)))
(+.f64 0 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 1)
(pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)
(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 3)
(pow.f64 (.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand)) 1/2)
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(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 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 (fma.f64 a 1/9 -1/27) (.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))))
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))) 3))
(expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(exp.f64 (.f64 (log.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 2))
(exp.f64 (+.f64 (log.f64 rand) (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2)))
(exp.f64 (+.f64 (log.f64 rand) (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 rand) 1) (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(exp.f64 (+.f64 (.f64 (log.f64 rand) 1) (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 rand) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (*.f64 (log.f64 rand) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) (log.f64 rand)))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) (.f64 (log.f64 rand) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) (log.f64 rand)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) (.f64 (log.f64 rand) 1)))
(log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(+.f64 0 (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 1)
(*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (pow.f64 (fma.f64 a 1/9 -1/27) 1/6))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/6) (cbrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))
(/.f64 (sqrt.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683)) (sqrt.f64 (fma.f64 (*.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729)))
(/.f64 (sqrt.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81))) (sqrt.f64 (+.f64 -1/27 (*.f64 -1/9 a))))
(pow.f64 (fma.f64 a 1/9 -1/27) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 1)
(pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3/2)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 a 1/9 -1/27)))
(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 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(fabs.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 a 1/9 -1/27))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) 1)
(-.f64 (/.f64 1/729 (+.f64 -1/27 (.f64 -1/9 a))) (/.f64 (.f64 (.f64 a a) 1/81) (+.f64 -1/27 (.f64 -1/9 a))))
(*.f64 (fma.f64 a 1/9 -1/27) 1)
(*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 1 (fma.f64 a 1/9 -1/27))
(*.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2) (cbrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) (pow.f64 (fma.f64 a 1/9 -1/27) 3/4))
(.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) (/.f64 1 (fma.f64 (.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729)))
(.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (/.f64 1 (+.f64 -1/27 (.f64 -1/9 a))))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/4) (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 5/6) (pow.f64 (fma.f64 a 1/9 -1/27) 1/6))
(/.f64 1 (/.f64 (fma.f64 (*.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729) (fma.f64 1/729 (pow.f64 a 3) -1/19683)))
(/.f64 1 (/.f64 (+.f64 -1/27 (.f64 -1/9 a)) (-.f64 1/729 (.f64 (*.f64 a a) 1/81))))
(/.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) (fma.f64 (*.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729))
(/.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) (fma.f64 (.f64 a a) 1/81 (-.f64 1/729 (.f64 -1/243 a))))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (+.f64 -1/27 (*.f64 -1/9 a)))
(/.f64 (neg.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683)) (neg.f64 (fma.f64 (*.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729)))
(/.f64 (neg.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81))) (neg.f64 (+.f64 -1/27 (*.f64 -1/9 a))))
(/.f64 (fma.f64 (*.f64 a a) 1/81 -1/729) (fma.f64 a 1/9 1/27))
(pow.f64 (fma.f64 a 1/9 -1/27) 1)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 2)
(pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/6) 6)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 2/3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 4)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 a 1/9 -1/27)))
(pow.f64 (/.f64 (fma.f64 (*.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729) (fma.f64 1/729 (pow.f64 a 3) -1/19683)) -1)
(pow.f64 (/.f64 (+.f64 -1/27 (.f64 -1/9 a)) (-.f64 1/729 (.f64 (*.f64 a a) 1/81))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 a 1/9 -1/27))) 2)) (cbrt.f64 (log.f64 (fma.f64 a 1/9 -1/27))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 a 1/9 -1/27)))) (sqrt.f64 (log.f64 (fma.f64 a 1/9 -1/27))))
(sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))
(log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))
(expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))
(exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 a 1/9 -1/27))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 a 1/9 -1/27))) 1/3))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)))
(log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 a 1/9 -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (*.f64 a 1/9) 1 -1/27)
(fma.f64 1 (*.f64 a 1/9) -1/27)
(fma.f64 (cbrt.f64 (.f64 a 1/9)) (cbrt.f64 (.f64 (*.f64 a a) 1/81)) -1/27)
(fma.f64 (cbrt.f64 (.f64 (.f64 a a) 1/81)) (cbrt.f64 (*.f64 a 1/9)) -1/27)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 1/9) -1/27)
(fma.f64 (.f64 (sqrt.f64 a) 1/3) (.f64 (sqrt.f64 a) 1/3) -1/27)
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1/9) -1/27)
(fma.f64 (*.f64 1/9 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) -1/27)
(fma.f64 (*.f64 1/9 (sqrt.f64 a)) (sqrt.f64 a) -1/27)

simplify130.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1604×	`fma-def`
1128×	`log-prod`
662×	`*-commutative`
502×	`log-pow`
478×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	3874
1	880	3702
2	2510	3646
3	7269	3646

Stop Event

1×	node limit

Counts

208 → 231

Calls

Call 1

Inputs
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 (sqrt.f64 -1/27) rand)
(+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand))
(+.f64 (.f64 -1/648 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand)))
(+.f64 (.f64 -1/648 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (+.f64 (.f64 1/11664 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/27) 5))) (*.f64 (sqrt.f64 -1/27) rand))))
(sqrt.f64 -1/27)
(+.f64 (sqrt.f64 -1/27) (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))))
(+.f64 (sqrt.f64 -1/27) (+.f64 (.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3)))))
(+.f64 (sqrt.f64 -1/27) (+.f64 (.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5))) (+.f64 (.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (*.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3))))))
-1/27
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(+.f64 0 (*.f64 a 1/9))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) a)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) a))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) a))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1)
(pow.f64 (*.f64 a 1/9) 1)
(pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)
(pow.f64 (.f64 (.f64 a a) 1/81) 1/2)
(pow.f64 (*.f64 1/729 (pow.f64 a 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 a 1/9)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a 1/9))) 2)) (cbrt.f64 (log.f64 (.f64 a 1/9))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a 1/9)))) (sqrt.f64 (log.f64 (.f64 a 1/9))))
(sqrt.f64 (.f64 (.f64 a a) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/9))))
(cbrt.f64 (*.f64 1/729 (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 a 1/9)))
(exp.f64 (log.f64 (*.f64 a 1/9)))
(exp.f64 (.f64 (log.f64 (.f64 a 1/9)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 a 1/9)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a 1/9))) 3))
(exp.f64 (.f64 (log.f64 (.f64 1/729 (pow.f64 a 3))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 a 1/9)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 a) 1/3)) 2))
(log1p.f64 (expm1.f64 (*.f64 a 1/9)))
(+.f64 0 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 1)
(pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)
(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 3)
(pow.f64 (.f64 (fma.f64 a 1/9 -1/27) (.f64 rand rand)) 1/2)
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(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 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 (fma.f64 a 1/9 -1/27) (.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))))
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))) 3))
(expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(exp.f64 (.f64 (log.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 2))
(exp.f64 (+.f64 (log.f64 rand) (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2)))
(exp.f64 (+.f64 (log.f64 rand) (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 rand) 1) (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(exp.f64 (+.f64 (.f64 (log.f64 rand) 1) (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 rand) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (*.f64 (log.f64 rand) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) (log.f64 rand)))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) (.f64 (log.f64 rand) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) (log.f64 rand)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) (.f64 (log.f64 rand) 1)))
(log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(+.f64 0 (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 1)
(*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (pow.f64 (fma.f64 a 1/9 -1/27) 1/6))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/6) (cbrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))
(/.f64 (sqrt.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683)) (sqrt.f64 (fma.f64 (*.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729)))
(/.f64 (sqrt.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81))) (sqrt.f64 (+.f64 -1/27 (*.f64 -1/9 a))))
(pow.f64 (fma.f64 a 1/9 -1/27) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 1)
(pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3/2)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 a 1/9 -1/27)))
(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 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(fabs.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 a 1/9 -1/27))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) 1)
(-.f64 (/.f64 1/729 (+.f64 -1/27 (.f64 -1/9 a))) (/.f64 (.f64 (.f64 a a) 1/81) (+.f64 -1/27 (.f64 -1/9 a))))
(*.f64 (fma.f64 a 1/9 -1/27) 1)
(*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 1 (fma.f64 a 1/9 -1/27))
(*.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2) (cbrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) (pow.f64 (fma.f64 a 1/9 -1/27) 3/4))
(.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) (/.f64 1 (fma.f64 (.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729)))
(.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (/.f64 1 (+.f64 -1/27 (.f64 -1/9 a))))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/4) (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 5/6) (pow.f64 (fma.f64 a 1/9 -1/27) 1/6))
(/.f64 1 (/.f64 (fma.f64 (*.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729) (fma.f64 1/729 (pow.f64 a 3) -1/19683)))
(/.f64 1 (/.f64 (+.f64 -1/27 (.f64 -1/9 a)) (-.f64 1/729 (.f64 (*.f64 a a) 1/81))))
(/.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) (fma.f64 (*.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729))
(/.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) (fma.f64 (.f64 a a) 1/81 (-.f64 1/729 (.f64 -1/243 a))))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (+.f64 -1/27 (*.f64 -1/9 a)))
(/.f64 (neg.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683)) (neg.f64 (fma.f64 (*.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729)))
(/.f64 (neg.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81))) (neg.f64 (+.f64 -1/27 (*.f64 -1/9 a))))
(/.f64 (fma.f64 (*.f64 a a) 1/81 -1/729) (fma.f64 a 1/9 1/27))
(pow.f64 (fma.f64 a 1/9 -1/27) 1)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 2)
(pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/6) 6)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 2/3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 4)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 a 1/9 -1/27)))
(pow.f64 (/.f64 (fma.f64 (*.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729) (fma.f64 1/729 (pow.f64 a 3) -1/19683)) -1)
(pow.f64 (/.f64 (+.f64 -1/27 (.f64 -1/9 a)) (-.f64 1/729 (.f64 (*.f64 a a) 1/81))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 a 1/9 -1/27))) 2)) (cbrt.f64 (log.f64 (fma.f64 a 1/9 -1/27))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 a 1/9 -1/27)))) (sqrt.f64 (log.f64 (fma.f64 a 1/9 -1/27))))
(sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))
(log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))
(expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))
(exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 a 1/9 -1/27))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 a 1/9 -1/27))) 1/3))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)))
(log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 a 1/9 -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (*.f64 a 1/9) 1 -1/27)
(fma.f64 1 (*.f64 a 1/9) -1/27)
(fma.f64 (cbrt.f64 (.f64 a 1/9)) (cbrt.f64 (.f64 (*.f64 a a) 1/81)) -1/27)
(fma.f64 (cbrt.f64 (.f64 (.f64 a a) 1/81)) (cbrt.f64 (*.f64 a 1/9)) -1/27)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 1/9) -1/27)
(fma.f64 (.f64 (sqrt.f64 a) 1/3) (.f64 (sqrt.f64 a) 1/3) -1/27)
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1/9) -1/27)
(fma.f64 (*.f64 1/9 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) -1/27)
(fma.f64 (*.f64 1/9 (sqrt.f64 a)) (sqrt.f64 a) -1/27)

Outputs
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(.f64 rand (sqrt.f64 (-.f64 (.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 (sqrt.f64 -1/27) rand)
(*.f64 rand (sqrt.f64 -1/27))
(+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand))
(fma.f64 1/18 (/.f64 a (/.f64 (sqrt.f64 -1/27) rand)) (*.f64 rand (sqrt.f64 -1/27)))
(fma.f64 rand (sqrt.f64 -1/27) (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))))
(fma.f64 rand (sqrt.f64 -1/27) (/.f64 1/18 (/.f64 (sqrt.f64 -1/27) (*.f64 a rand))))
(+.f64 (.f64 -1/648 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand)))
(fma.f64 -1/648 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3)) (fma.f64 1/18 (/.f64 a (/.f64 (sqrt.f64 -1/27) rand)) (*.f64 rand (sqrt.f64 -1/27))))
(+.f64 (fma.f64 rand (sqrt.f64 -1/27) (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27)))) (.f64 1/24 (/.f64 (.f64 a (*.f64 a rand)) (sqrt.f64 -1/27))))
(fma.f64 rand (sqrt.f64 -1/27) (fma.f64 1/24 (/.f64 a (/.f64 (sqrt.f64 -1/27) (.f64 a rand))) (/.f64 1/18 (/.f64 (sqrt.f64 -1/27) (.f64 a rand)))))
(+.f64 (.f64 -1/648 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27))) (+.f64 (.f64 1/11664 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/27) 5))) (*.f64 (sqrt.f64 -1/27) rand))))
(fma.f64 -1/648 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3)) (fma.f64 1/18 (/.f64 a (/.f64 (sqrt.f64 -1/27) rand)) (fma.f64 1/11664 (/.f64 (.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/27) 5)) (.f64 rand (sqrt.f64 -1/27)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 a (.f64 a rand)) (sqrt.f64 -1/27))) (fma.f64 1/18 (/.f64 (.f64 a rand) (sqrt.f64 -1/27)) (fma.f64 rand (sqrt.f64 -1/27) (.f64 1/11664 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5)) rand)))))
(fma.f64 1/18 (.f64 rand (/.f64 a (sqrt.f64 -1/27))) (fma.f64 1/24 (/.f64 a (/.f64 (sqrt.f64 -1/27) (.f64 a rand))) (fma.f64 rand (sqrt.f64 -1/27) (*.f64 (/.f64 1/11664 (/.f64 (pow.f64 (sqrt.f64 -1/27) 5) (pow.f64 a 3))) rand))))
(sqrt.f64 -1/27)
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(sqrt.f64 (fma.f64 1/9 a -1/27))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) 1))
(sqrt.f64 (fma.f64 1/9 a -1/27))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) 1))
(sqrt.f64 (fma.f64 1/9 a -1/27))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/6)) 3))
(sqrt.f64 (fma.f64 1/9 a -1/27))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 a 1/9 -1/27))) 1/3))
(sqrt.f64 (fma.f64 1/9 a -1/27))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4)) 2))
(sqrt.f64 (fma.f64 1/9 a -1/27))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(sqrt.f64 (fma.f64 1/9 a -1/27))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) 1)
(fma.f64 1/9 a -1/27)
(-.f64 (/.f64 1/729 (+.f64 -1/27 (.f64 -1/9 a))) (/.f64 (.f64 (.f64 a a) 1/81) (+.f64 -1/27 (.f64 -1/9 a))))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 a (*.f64 a -1/81) 1/729) (fma.f64 a -1/9 -1/27))
(*.f64 (fma.f64 a 1/9 -1/27) 1)
(fma.f64 1/9 a -1/27)
(*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(*.f64 1 (fma.f64 a 1/9 -1/27))
(fma.f64 1/9 a -1/27)
(*.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2))
(fma.f64 1/9 a -1/27)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2) (cbrt.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) (pow.f64 (fma.f64 a 1/9 -1/27) 3/4))
(*.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4) (pow.f64 (fma.f64 1/9 a -1/27) 3/4))
(.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) (/.f64 1 (fma.f64 (.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729)))
(/.f64 (.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) 1) (fma.f64 (.f64 1/9 a) (fma.f64 a 1/9 1/27) 1/729))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 (*.f64 1/9 a) (fma.f64 1/9 a 1/27) 1/729))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 1/9 (*.f64 a (fma.f64 1/9 a 1/27)) 1/729))
(.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (/.f64 1 (+.f64 -1/27 (.f64 -1/9 a))))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 a (*.f64 a -1/81) 1/729) (fma.f64 a -1/9 -1/27))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/4) (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))
(*.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4) (pow.f64 (fma.f64 1/9 a -1/27) 3/4))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 5/6) (pow.f64 (fma.f64 a 1/9 -1/27) 1/6))
(*.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/6) (pow.f64 (fma.f64 1/9 a -1/27) 5/6))
(/.f64 1 (/.f64 (fma.f64 (*.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729) (fma.f64 1/729 (pow.f64 a 3) -1/19683)))
(/.f64 (.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) 1) (fma.f64 (.f64 1/9 a) (fma.f64 a 1/9 1/27) 1/729))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 (*.f64 1/9 a) (fma.f64 1/9 a 1/27) 1/729))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 1/9 (*.f64 a (fma.f64 1/9 a 1/27)) 1/729))
(/.f64 1 (/.f64 (+.f64 -1/27 (.f64 -1/9 a)) (-.f64 1/729 (.f64 (*.f64 a a) 1/81))))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 a (*.f64 a -1/81) 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) (fma.f64 (*.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729))
(/.f64 (.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) 1) (fma.f64 (.f64 1/9 a) (fma.f64 a 1/9 1/27) 1/729))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 (*.f64 1/9 a) (fma.f64 1/9 a 1/27) 1/729))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 1/9 (*.f64 a (fma.f64 1/9 a 1/27)) 1/729))
(/.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) (fma.f64 (.f64 a a) 1/81 (-.f64 1/729 (.f64 -1/243 a))))
(/.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) (fma.f64 (.f64 a a) 1/81 (-.f64 1/729 (.f64 a -1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 (.f64 a a) 1/81 (-.f64 1/729 (.f64 a -1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (+.f64 -1/27 (*.f64 -1/9 a)))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 a (*.f64 a -1/81) 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (neg.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683)) (neg.f64 (fma.f64 (*.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729)))
(/.f64 (.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) 1) (fma.f64 (.f64 1/9 a) (fma.f64 a 1/9 1/27) 1/729))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 (*.f64 1/9 a) (fma.f64 1/9 a 1/27) 1/729))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 1/9 (*.f64 a (fma.f64 1/9 a 1/27)) 1/729))
(/.f64 (neg.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81))) (neg.f64 (+.f64 -1/27 (*.f64 -1/9 a))))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 a (*.f64 a -1/81) 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 (*.f64 a a) 1/81 -1/729) (fma.f64 a 1/9 1/27))
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 a (*.f64 a -1/81) 1/729) (fma.f64 a -1/9 -1/27))
(pow.f64 (fma.f64 a 1/9 -1/27) 1)
(fma.f64 1/9 a -1/27)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 2)
(fma.f64 1/9 a -1/27)
(pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/6) 6)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/2)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/3)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 2/3)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 4)
(fma.f64 1/9 a -1/27)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(pow.f64 (/.f64 (fma.f64 (*.f64 a 1/9) (fma.f64 a 1/9 1/27) 1/729) (fma.f64 1/729 (pow.f64 a 3) -1/19683)) -1)
(/.f64 (.f64 (fma.f64 1/729 (pow.f64 a 3) -1/19683) 1) (fma.f64 (.f64 1/9 a) (fma.f64 a 1/9 1/27) 1/729))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 (*.f64 1/9 a) (fma.f64 1/9 a 1/27) 1/729))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 1/9 (*.f64 a (fma.f64 1/9 a 1/27)) 1/729))
(pow.f64 (/.f64 (+.f64 -1/27 (.f64 -1/9 a)) (-.f64 1/729 (.f64 (*.f64 a a) 1/81))) -1)
(/.f64 (-.f64 1/729 (.f64 (.f64 a a) 1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (+.f64 1/729 (.f64 (.f64 a a) -1/81)) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 a (*.f64 a -1/81) 1/729) (fma.f64 a -1/9 -1/27))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 a 1/9 -1/27))) 2)) (cbrt.f64 (log.f64 (fma.f64 a 1/9 -1/27))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/9 a -1/27))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/9 a -1/27))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 a 1/9 -1/27)))) (sqrt.f64 (log.f64 (fma.f64 a 1/9 -1/27))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/9 a -1/27)))) (sqrt.f64 (log.f64 (fma.f64 1/9 a -1/27))))
(sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))
(fma.f64 1/9 a -1/27)
(log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))
(fma.f64 1/9 a -1/27)
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))
(fma.f64 1/9 a -1/27)
(expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(exp.f64 (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1))
(fma.f64 1/9 a -1/27)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1) 1))
(fma.f64 1/9 a -1/27)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 2))
(fma.f64 1/9 a -1/27)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) 2))
(fma.f64 1/9 a -1/27)
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) 2))
(fma.f64 1/9 a -1/27)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))) 3))
(fma.f64 1/9 a -1/27)
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 a 1/9 -1/27))) 1/2))
(fma.f64 1/9 a -1/27)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 a 1/9 -1/27))) 1/3))
(fma.f64 1/9 a -1/27)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2)))
(fma.f64 1/9 a -1/27)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)))
(fma.f64 1/9 a -1/27)
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(fma.f64 1/9 a -1/27)
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2)))
(fma.f64 1/9 a -1/27)
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2) (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)))
(fma.f64 1/9 a -1/27)
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(fma.f64 1/9 a -1/27)
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) (.f64 (log.f64 (fma.f64 a 1/9 -1/27)) 1/2)))
(fma.f64 1/9 a -1/27)
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)))
(fma.f64 1/9 a -1/27)
(log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(fma.f64 a 1/9 -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (*.f64 a 1/9) 1 -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1 (*.f64 a 1/9) -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (cbrt.f64 (.f64 a 1/9)) (cbrt.f64 (.f64 (*.f64 a a) 1/81)) -1/27)
(fma.f64 (cbrt.f64 (.f64 1/9 a)) (cbrt.f64 (.f64 (*.f64 a a) 1/81)) -1/27)
(fma.f64 (cbrt.f64 (.f64 (.f64 a a) 1/81)) (cbrt.f64 (*.f64 a 1/9)) -1/27)
(fma.f64 (cbrt.f64 (.f64 1/9 a)) (cbrt.f64 (.f64 (*.f64 a a) 1/81)) -1/27)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 1/9) -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (.f64 (sqrt.f64 a) 1/3) (.f64 (sqrt.f64 a) 1/3) -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1/9) -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (*.f64 1/9 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (*.f64 1/9 (sqrt.f64 a)) (sqrt.f64 a) -1/27)
(fma.f64 1/9 a -1/27)

eval191.0ms (1.8%)

Compiler: Compiled 6469 to 4178 computations (35.4% saved)

prune86.0ms (0.8%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	500	1	501
Fresh	0	3	3
Picked	0	1	1
Done	1	8	9
Total	501	13	514

Accurracy

100.0%

Counts

514 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.8%	(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
✓	66.0%	(-.f64 a 1/3)
✓	96.8%	(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 a) rand)))
✓	28.2%	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
✓	33.7%	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
✓	35.3%	(.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))
	33.8%	(.f64 rand (sqrt.f64 (.f64 a 1/9)))
✓	96.7%	(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
✓	35.3%	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
✓	33.8%	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
✓	11.6%	(.f64 1/3 (sqrt.f64 (.f64 a (*.f64 rand rand))))
	64.4%	a
	1.5%	-1/3

Compiler

Compiled 342 to 251 computations (26.6% saved)

regimes62.0ms (0.6%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	(-.f64 a (/.f64 1 3))
12.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
12.0ms	rand
11.0ms	a

Results

Accuracy	Segments	Branch
99.8%	1	`a`
99.8%	1	`rand`
99.8%	1	`(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))`
99.8%	1	`(-.f64 a (/.f64 1 3))`

Compiler

Compiled 266 to 194 computations (27.1% saved)

regimes24.0ms (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 (sqrt.f64 (.f64 a 1/9)))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 1/3 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 -1/27 (.f64 a 1/9))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 1/3 rand))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 a) rand)))
(.f64 1/3 (sqrt.f64 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))

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

Calls

2 calls:

10.0ms	a
9.0ms	rand

Results

Accuracy	Segments	Branch
98.4%	1	`a`
98.4%	1	`rand`

Compiler

Compiled 139 to 90 computations (35.3% saved)

regimes33.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	rand
8.0ms	a

Results

Accuracy	Segments	Branch
96.8%	1	`a`
98.4%	3	`rand`

Compiler

Compiled 105 to 68 computations (35.2% saved)

regimes30.0ms (0.3%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	rand
7.0ms	a

Results

Accuracy	Segments	Branch
94.2%	3	`rand`
66.0%	1	`a`

Compiler

Compiled 77 to 52 computations (32.5% saved)

regimes18.0ms (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 (sqrt.f64 (.f64 a 1/9)))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 1/3 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:

16.0ms

rand

Results

Accuracy	Segments	Branch
94.2%	3	`rand`

Compiler

Compiled 50 to 32 computations (36% saved)

regimes17.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

rand

Results

Accuracy	Segments	Branch
93.2%	3	`rand`

Compiler

Compiled 42 to 26 computations (38.1% 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
93.1%	3	`rand`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(-.f64 a 1/3)

Calls

1 calls:

3.0ms

rand

Results

Accuracy	Segments	Branch
66.0%	1	`rand`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
-1/3
a

Outputs
a

Calls

2 calls:

4.0ms	a
3.0ms	rand

Results

Accuracy	Segments	Branch
64.4%	1	`a`
64.4%	1	`rand`

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:

2.0ms	a
2.0ms	rand

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.0687322558043167e+113	9.748730839877543e+121
17.0ms	-1.3212255916461763e+76	-2.2095242605771108e+74

Results

34.0ms

256×

body

256

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.0687322558043167e+113	9.748730839877543e+121
16.0ms	-1.3212255916461763e+76	-2.2095242605771108e+74

Results

33.0ms

256×

body

256

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.0687322558043167e+113	9.748730839877543e+121
17.0ms	-1.3212255916461763e+76	-2.2095242605771108e+74

Results

35.0ms

256×

body

256

valid

Compiler

Compiled 267 to 215 computations (19.5% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.0687322558043167e+113	9.748730839877543e+121
18.0ms	-1.3212255916461763e+76	-2.2095242605771108e+74

Results

34.0ms

256×

body

256

valid

Compiler

Compiled 267 to 215 computations (19.5% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
14×	`+-commutative`
8×	`sub-neg`
8×	`if-if-or-not`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	304
1	72	304
2	79	304
3	81	304
4	82	304

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 a) rand)))
(if (<=.f64 rand -390000000000000007506620654654948779862580331603951032781999463827180093440) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (if (<=.f64 rand 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(if (<=.f64 rand -520000000000000010008827539539931706483440442138601377042665951769573457920) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -799999999999999961318550494422337583081568726424106841337654558109200285696) (.f64 rand (sqrt.f64 (.f64 a 1/9))) (if (<=.f64 rand 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (.f64 a 1/9)))))
(if (<=.f64 rand -260000000000000005004413769769965853241720221069300688521332975884786728960) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(-.f64 a 1/3)
a
-1/3

Outputs
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) a) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 a)))) 1/3)
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 a) rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 a))))
(if (<=.f64 rand -390000000000000007506620654654948779862580331603951032781999463827180093440) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (if (<=.f64 rand 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9))))))
(if (or (<=.f64 rand -390000000000000007506620654654948779862580331603951032781999463827180093440) (not (<=.f64 rand 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984))) (.f64 rand (sqrt.f64 (+.f64 -1/27 (.f64 a 1/9)))) (-.f64 a 1/3))
(if (<=.f64 rand -520000000000000010008827539539931706483440442138601377042665951769573457920) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (or (<=.f64 rand -520000000000000010008827539539931706483440442138601377042665951769573457920) (not (<=.f64 rand 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984))) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (-.f64 a 1/3))
(if (<=.f64 rand -799999999999999961318550494422337583081568726424106841337654558109200285696) (.f64 rand (sqrt.f64 (.f64 a 1/9))) (if (<=.f64 rand 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (.f64 a 1/9)))))
(if (or (<=.f64 rand -799999999999999961318550494422337583081568726424106841337654558109200285696) (not (<=.f64 rand 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984))) (.f64 rand (sqrt.f64 (.f64 a 1/9))) (-.f64 a 1/3))
(if (<=.f64 rand -260000000000000005004413769769965853241720221069300688521332975884786728960) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(if (or (<=.f64 rand -260000000000000005004413769769965853241720221069300688521332975884786728960) (not (<=.f64 rand 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984))) (.f64 1/3 (.f64 rand (sqrt.f64 a))) (-.f64 a 1/3))
(-.f64 a 1/3)
a
-1/3

Compiler

Compiled 131 to 100 computations (23.7% saved)

soundness1.3s (12%)

Rules

2372×	`fma-def`
2372×	`fma-def`
1604×	`pow1`
1472×	`add-exp-log`
1472×	`log1p-expm1-u`

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	517	9569
1	1295	8941
2	4596	8603
0	401	3675
1	873	3523
2	2653	3387
3	6861	3387
0	9	28
1	179	28
2	2048	28
0	11	58
1	230	58
2	2751	58
0	404	3951
1	894	3813
2	2694	3765
3	6754	3765
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×	saturated

Compiler

Compiled 854 to 685 computations (19.8% saved)

end175.0ms (1.6%)

Compiler: Compiled 270 to 194 computations (28.1% saved)