Details

analyze68.0ms (0.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
0%	50%	50%	5
6.2%	31.2%	62.5%	6
9.4%	28.1%	62.5%	7
14%	17.2%	68.8%	8
14.8%	16.4%	68.8%	9
17.6%	10.1%	72.3%	10
18.1%	9.2%	72.7%	11
19.6%	5.5%	74.9%	12

Compiler

Compiled 23 to 20 computations (13% saved)

sample1.4s (18.5%)

Results

1.2s	8256×	body	256	valid
192.0ms	1173×	body	256	invalid

preprocess132.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

2198×	`fma-neg_binary64`
692×	`fma-def_binary64`
350×	`unsub-neg_binary64`
309×	`sub-neg_binary64`
272×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	52	42
2	141	38
3	395	38
4	1005	38
5	1898	38
6	2873	38
7	4197	38
8	5377	38
9	5997	38
10	6139	38
11	6150	38
12	6154	38
13	6342	38
14	6399	38
15	6399	38
16	6399	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	32	21
2	82	19
3	199	19
4	510	19
5	969	19
6	1470	19
7	2421	19
8	3626	19
9	4073	19
10	4231	19
11	4272	19
12	4275	19
13	4828	19
14	4828	19

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 35 to 29 computations (17.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 37 to 31 computations (16.2% saved)

localize59.0ms (0.8%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 86 to 73 computations (15.1% saved)

series40.0ms (0.5%)

Counts

4 → 42

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	a	@	0	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
2.0ms	a	@	-inf	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
1.0ms	rand	@	0	(.f64 (/.f64 1 (sqrt.f64 (.f64 9 (-.f64 a (/.f64 1 3))))) rand)
1.0ms	a	@	0	(.f64 (/.f64 1 (sqrt.f64 (.f64 9 (-.f64 a (/.f64 1 3))))) rand)
1.0ms	a	@	inf	(sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))

rewrite123.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

723×	`prod-diff_binary64`
653×	`log-prod_binary64`
413×	`fma-def_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	307	49
2	3916	43

Stop Event

1×	node limit

Counts

4 → 194

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (sqrt.f64 (-.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 a 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 a 1/3)) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 9 a -3) 1/4) (pow.f64 (fma.f64 9 a -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 9 1/2) (sqrt.f64 (-.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -3 (sqrt.f64 (-.f64 a 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 9 a -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (pow.f64 (sqrt.f64 (-.f64 a 1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (fma.f64 9 a -3))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 -3 (sqrt.f64 (-.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 9 a -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -1/2 (log.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 -1/2 (log.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))))
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simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Rules

833×	`associate-/r*_binary64`
465×	`distribute-rgt-in_binary64`
463×	`distribute-lft-in_binary64`
460×	`fma-def_binary64`
444×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1032
1	314	999
2	989	983
3	4346	799

Stop Event

1×	node limit

Counts

236 → 234

Calls

Call 1

Inputs
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))))
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3)))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)

Outputs
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))
(fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3)))
(fma.f64 3 (sqrt.f64 -1/3) (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))))
(fma.f64 3 (sqrt.f64 -1/3) (*.f64 (/.f64 3/2 (sqrt.f64 -1/3)) a))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(fma.f64 -3/8 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (.f64 3 (sqrt.f64 -1/3))))
(+.f64 (fma.f64 3 (sqrt.f64 -1/3) (.f64 3/2 (/.f64 a (sqrt.f64 -1/3)))) (.f64 9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(fma.f64 3 (sqrt.f64 -1/3) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 9/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)))))
(fma.f64 3 (sqrt.f64 -1/3) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 3/2 (/.f64 (.f64 a -3/8) -1/3))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))))
(fma.f64 -3/8 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (.f64 3 (sqrt.f64 -1/3)))))
(+.f64 (.f64 9/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3))) (fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3 (sqrt.f64 -1/3) (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))))))
(fma.f64 9/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3 (sqrt.f64 -1/3) (/.f64 (*.f64 3/16 (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)))))
(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 (sqrt.f64 -1/3)) (+.f64 3/2 (/.f64 (.f64 a -3/8) -1/3)))))
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3)))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (*.f64 1/3 (sqrt.f64 -3)))
(fma.f64 1/3 (sqrt.f64 -3) (/.f64 -3/2 (/.f64 (sqrt.f64 -3) a)))
(fma.f64 1/3 (sqrt.f64 -3) (*.f64 (/.f64 -3/2 (sqrt.f64 -3)) a))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 a a))) (.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (.f64 -1/6 (.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a a)))))
(fma.f64 1/3 (sqrt.f64 -3) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (.f64 -1/6 (.f64 (*.f64 a a) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))))
(fma.f64 1/3 (sqrt.f64 -3) (.f64 a (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (.f64 (/.f64 -27/8 (sqrt.f64 -3)) a))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(fma.f64 -1/6 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (pow.f64 a 3))) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 a a))) (*.f64 1/3 (sqrt.f64 -3)))))
(fma.f64 -1/6 (.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (pow.f64 a 3)) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (.f64 -1/6 (.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (.f64 a a))))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (.f64 (pow.f64 a 3) (/.f64 (+.f64 81 (.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3))) (fma.f64 1/3 (sqrt.f64 -3) (.f64 -1/6 (.f64 (*.f64 a a) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))))
(+.f64 (fma.f64 1/3 (sqrt.f64 -3) (.f64 a (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (.f64 (/.f64 -27/8 (sqrt.f64 -3)) a)))) (*.f64 (/.f64 -135/16 (sqrt.f64 -3)) (pow.f64 a 3)))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(.f64 1/3 (.f64 (sqrt.f64 -3) rand))
(.f64 (sqrt.f64 -3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (/.f64 (.f64 -3/2 (*.f64 a rand)) (sqrt.f64 -3)))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand)))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(.f64 rand (fma.f64 1/3 (sqrt.f64 -3) (.f64 (/.f64 -3/2 (sqrt.f64 -3)) a)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 (.f64 a a) rand))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (.f64 (/.f64 a (sqrt.f64 -3)) rand) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (/.f64 (sqrt.f64 -3) rand) (.f64 a a))))))
(fma.f64 -1/6 (.f64 (/.f64 (.f64 a (.f64 a rand)) (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3)))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (.f64 rand (.f64 a (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (.f64 (/.f64 -27/8 (sqrt.f64 -3)) 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 (sqrt.f64 -3) rand) (fma.f64 -1/6 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (.f64 (pow.f64 a 3) rand))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 (.f64 a a) rand)))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -1/6 (.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (.f64 (pow.f64 a 3) rand)) (fma.f64 -3/2 (.f64 (/.f64 a (sqrt.f64 -3)) rand) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (/.f64 (sqrt.f64 -3) rand) (.f64 a a)))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3)) (.f64 -1/6 (+.f64 (.f64 (/.f64 (.f64 a (.f64 a rand)) (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (.f64 (/.f64 (.f64 (pow.f64 a 3) rand) (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))))))
(+.f64 (.f64 rand (fma.f64 1/3 (sqrt.f64 -3) (.f64 (/.f64 -3/2 (sqrt.f64 -3)) a))) (.f64 rand (.f64 (.f64 a a) (+.f64 (/.f64 -27/8 (sqrt.f64 -3)) (.f64 (/.f64 -135/16 (sqrt.f64 -3)) 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1))
(+.f64 -1/3 (.f64 (.f64 (sqrt.f64 -3) rand) -1/9))
(fma.f64 (*.f64 (sqrt.f64 -3) rand) -1/9 -1/3)
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(fma.f64 a (+.f64 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1) (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1)))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (.f64 (*.f64 (sqrt.f64 -3) rand) -1/9)))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (.f64 (sqrt.f64 -3) rand) -1/9 -1/3))
(+.f64 (.f64 (fma.f64 (sqrt.f64 -3) (.f64 1/3 rand) 1) (+.f64 -1/3 a)) (*.f64 a (/.f64 rand (/.f64 (sqrt.f64 -3) 1/2))))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (+.f64 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1) (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1) (.f64 (.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 (sqrt.f64 -3) rand) (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 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (+.f64 -1/3 (.f64 (*.f64 (sqrt.f64 -3) rand) -1/9))))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 a (.f64 a (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (.f64 1/18 (.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) (fma.f64 (*.f64 (sqrt.f64 -3) rand) -1/9 -1/3)))
(fma.f64 a (.f64 a (.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (.f64 (fma.f64 (sqrt.f64 -3) (.f64 1/3 rand) 1) (+.f64 -1/3 a)) (*.f64 a (/.f64 rand (/.f64 (sqrt.f64 -3) 1/2)))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1) (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1) (.f64 (.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (.f64 1/18 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (.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)))) (+.f64 -1/3 (.f64 (.f64 (sqrt.f64 -3) rand) -1/9)))))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (+.f64 81 (.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (/.f64 (/.f64 (sqrt.f64 -3) rand) 1/18))) (fma.f64 a (.f64 a (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (.f64 1/18 (.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) (fma.f64 (*.f64 (sqrt.f64 -3) rand) -1/9 -1/3))))
(fma.f64 (pow.f64 a 3) (.f64 rand (+.f64 (/.f64 45/16 (sqrt.f64 -3)) (/.f64 -27/8 (sqrt.f64 -3)))) (fma.f64 a (.f64 a (.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (.f64 (fma.f64 (sqrt.f64 -3) (.f64 1/3 rand) 1) (+.f64 -1/3 a)) (.f64 a (/.f64 rand (/.f64 (sqrt.f64 -3) 1/2))))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))

localize31.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 49 to 37 computations (24.5% saved)

series14.0ms (0.2%)

Counts

4 → 50

Calls

18 calls:

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

rewrite98.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	287	40
2	3734	40

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

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

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Rules

500×	`distribute-rgt-in_binary64`
498×	`distribute-lft-in_binary64`
452×	`associate-/r/_binary64`
408×	`fma-def_binary64`
384×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	969
1	277	935
2	932	906
3	4276	787
4	7814	787

Stop Event

1×	node limit

Counts

246 → 232

Calls

Call 1

Inputs
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (.f64 rand (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(.f64 -1/3 (+.f64 (.f64 rand (sqrt.f64 -1/3)) 1))
(+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))
(+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
-3
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)

Outputs
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)))
(+.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (.f64 27/8 (/.f64 (.f64 a a) (sqrt.f64 -3))))
(fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 27/8 (/.f64 a (/.f64 (sqrt.f64 -3) a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 -3) (.f64 (/.f64 a (sqrt.f64 -3)) (+.f64 9/2 (/.f64 (.f64 a -81/8) -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))))
(fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 27/8 (/.f64 a (/.f64 (sqrt.f64 -3) a)) (sqrt.f64 -3))))
(+.f64 (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (sqrt.f64 -3)) (.f64 (/.f64 a (sqrt.f64 -3)) (+.f64 9/2 (/.f64 (.f64 a -81/8) -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 -1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(.f64 rand (+.f64 (sqrt.f64 -1/3) (.f64 -1/2 (/.f64 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 (.f64 a a) rand))) (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 rand (sqrt.f64 -1/3) (.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (.f64 a (.f64 a rand)))))))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (.f64 a (.f64 a (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))))))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 (.f64 a rand) (.f64 a (.f64 a (*.f64 rand 9/4))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (.f64 (.f64 a a) rand))) (fma.f64 rand (sqrt.f64 -1/3) (.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 a 3) rand) (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (.f64 a (.f64 a rand)))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 (pow.f64 a 3) -1/2) (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9))))))
(fma.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (.f64 a (.f64 a (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))) (fma.f64 rand (sqrt.f64 -1/3) (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) (.f64 (.f64 rand -1/2) (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))))))
(+.f64 (.f64 rand (+.f64 (sqrt.f64 -1/3) (.f64 (/.f64 -9/8 (sqrt.f64 -1/3)) (.f64 a a)))) (.f64 -1/2 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 (pow.f64 a 3) 45/8) a))))
(.f64 -1/3 (+.f64 (.f64 rand (sqrt.f64 -1/3)) 1))
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))
(fma.f64 rand (*.f64 -1/3 (sqrt.f64 -1/3)) -1/3)
(+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))
(fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(fma.f64 a (+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (fma.f64 rand (*.f64 -1/3 (sqrt.f64 -1/3)) -1/3))
(+.f64 (.f64 a (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 a -1/3)))
(+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))))
(fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (fma.f64 (.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(fma.f64 a (+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (fma.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (.f64 a (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))))))
(fma.f64 a (.f64 a (.f64 rand (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))) (+.f64 (.f64 a (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 a -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 a (+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (fma.f64 (.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (.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 a (+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (fma.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (.f64 1/6 (.f64 (+.f64 9 (.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (/.f64 rand (sqrt.f64 -1/3))))) (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (.f64 a (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))))))))
(fma.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 rand 15/16) (sqrt.f64 -1/3)) (.f64 (/.f64 -9/8 (sqrt.f64 -1/3)) rand)) (fma.f64 a (.f64 a (.f64 rand (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))) (+.f64 (.f64 a (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 a -1/3)))))
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 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -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 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -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 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -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 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 a -1/3)))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -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 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -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 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -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 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 a -1/3)))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -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 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -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 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
-3
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(*.f64 9 a)
(*.f64 a 9)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(*.f64 9 a)
(*.f64 a 9)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)

eval421.0ms (5.4%)

Compiler: Compiled 10273 to 8187 computations (20.3% saved)

prune133.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	455	11	466
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	457	11	468

Error

Counts

468 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(fma.f64 rand (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (-.f64 a 1/3)) (-.f64 a 1/3))
▶	44.0b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶	19.1b	(-.f64 a 1/3)
▶	0.1b	(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3)))))
▶	51.0b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
	43.9b	(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
	19.5b	a
	0.1b	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (neg.f64 rand) (.f64 -3 (sqrt.f64 (-.f64 a 1/3))))))
▶	0.1b	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 a 1/3)))) rand)))
	0.8b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
	13.7b	(.f64 (-.f64 a 1/3) (+.f64 1 (sqrt.f64 (/.f64 (.f64 rand rand) (fma.f64 a 9 -3)))))

Compiler

Compiled 295 to 238 computations (19.3% saved)

localize26.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 59 to 46 computations (22% saved)

series56.0ms (0.7%)

Counts

3 → 38

Calls

15 calls:

Time	Variable		Point	Expression
45.0ms	a	@	inf	(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3)))))
4.0ms	a	@	-inf	(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3)))))
2.0ms	a	@	-inf	(/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3)))
1.0ms	a	@	-inf	(sqrt.f64 (-.f64 a 1/3))
0.0ms	a	@	inf	(/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3)))

rewrite110.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`prod-diff_binary64`
612×	`log-prod_binary64`
361×	`fma-def_binary64`
231×	`log-div_binary64`
231×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	274	38
2	3810	38

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs

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

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

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

805×	`associate-*l/_binary64`
713×	`associate-/r*_binary64`
398×	`fma-def_binary64`
369×	`associate-/r/_binary64`
351×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	877
1	268	851
2	870	836
3	3777	713

Stop Event

1×	node limit

Counts

215 → 210

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))

Outputs
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(.f64 (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 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(.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 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(.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 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(.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 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(.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 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(.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 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(.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 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(.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 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(.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 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(.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 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(.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 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(.f64 (.f64 1/3 rand) (sqrt.f64 -3))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) (/.f64 (.f64 a -3/2) (/.f64 (sqrt.f64 -3) rand)))
(.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 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 -1/6 (.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (.f64 a (.f64 a rand))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (.f64 a (*.f64 a (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (/.f64 (sqrt.f64 -3) rand) -1/6))))))
(fma.f64 -3/2 (.f64 rand (/.f64 a (sqrt.f64 -3))) (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.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 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (.f64 rand (pow.f64 a 3))) (fma.f64 -3/2 (.f64 (/.f64 a (sqrt.f64 -3)) rand) (.f64 -1/6 (.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (.f64 a (.f64 a rand)))))))
(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 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 a a))) rand) (.f64 (pow.f64 a 3) (.f64 rand (/.f64 (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3))))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (.f64 rand (/.f64 a (sqrt.f64 -3))) (.f64 rand (+.f64 (.f64 (/.f64 -27/8 (sqrt.f64 -3)) (.f64 a a)) (.f64 (/.f64 -135/16 (sqrt.f64 -3)) (pow.f64 a 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))
(fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3)
(+.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)))
(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 rand (sqrt.f64 -3)) -1/9 -1/3))
(+.f64 (.f64 (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) 1) (+.f64 a -1/3)) (.f64 a (.f64 1/2 (/.f64 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 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 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (+.f64 -1/3 (.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))))
(fma.f64 a (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 a (.f64 a (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (.f64 1/18 (.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) (fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3)))
(fma.f64 a (.f64 a (.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (.f64 (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) 1) (+.f64 a -1/3)) (.f64 a (.f64 1/2 (/.f64 rand (sqrt.f64 -3))))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) 1) (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) 1) (.f64 (.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (.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 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (+.f64 -1/3 (.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))))
(fma.f64 a (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (.f64 1/18 (.f64 rand (/.f64 (+.f64 81 (.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3))))) (fma.f64 a (.f64 a (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (.f64 1/18 (.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) (fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3))))
(fma.f64 (pow.f64 a 3) (.f64 rand (+.f64 (/.f64 45/16 (sqrt.f64 -3)) (/.f64 -27/8 (sqrt.f64 -3)))) (fma.f64 a (.f64 a (.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (.f64 (fma.f64 1/3 (.f64 rand (sqrt.f64 -3)) 1) (+.f64 a -1/3)) (.f64 a (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (.f64 3/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3))))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (sqrt.f64 -1/3) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (.f64 -1/8 (/.f64 a -1/3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 3/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3)))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (.f64 -1/8 (/.f64 a -1/3))))))

localize3.0ms (0%)

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

localize29.0ms (0.4%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

series8.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

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

rewrite53.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	174	21
2	2152	21

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

799×	`fma-def_binary64`
716×	`distribute-rgt-out_binary64`
556×	`associate-r_binary64`
485×	`associate-l_binary64`
430×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	240
1	128	228
2	385	228
3	1423	222
4	6128	196
5	7926	196

Stop Event

1×	node limit

Counts

32 → 39

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))))))

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 (sqrt.f64 -1/3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (.f64 rand a))))
(.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (.f64 -1/24 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (.f64 1/8 (/.f64 (.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (.f64 a a))) (fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (*.f64 rand a)))))
(fma.f64 1/8 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) a)) (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))))
(.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 (.f64 -1/24 (/.f64 a -1/3)) 1/6))))
(+.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 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 1/48 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (.f64 1/8 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (fma.f64 1/48 (.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a)))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) a)) (.f64 rand (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))))))
(.f64 rand (+.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 (.f64 -1/24 (/.f64 a -1/3)) 1/6)) (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (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)))
(fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 (.f64 rand a) 1/2) (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 (/.f64 1/2 (sqrt.f64 -1/3)) (.f64 rand a)))
(.f64 rand (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 rand (sqrt.f64 -1/3) (.f64 (/.f64 (.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) -1/8)))
(fma.f64 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (.f64 3/8 (/.f64 (.f64 rand (.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 3/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (.f64 a a))) (fma.f64 rand (sqrt.f64 -1/3) (.f64 (/.f64 1/2 (sqrt.f64 -1/3)) (*.f64 rand a))))
(fma.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) a)) 3/8 (.f64 rand (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))))))
(.f64 rand (+.f64 (sqrt.f64 -1/3) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
(fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 (.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 (/.f64 (.f64 rand (.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) -1/8))))
(fma.f64 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) 1/16 (.f64 3/8 (/.f64 (.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) 1/2 (fma.f64 (.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) 1/16 (.f64 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (.f64 a a))) 3/8))))
(fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) a)) 3/8 (.f64 rand (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))))))
(.f64 rand (+.f64 (+.f64 (sqrt.f64 -1/3) (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (.f64 -1/8 (/.f64 a -1/3))))))

localize90.0ms (1.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(/.f64 1 (-.f64 (*.f64 9 a) 3))
	0.1b	(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
	0.0b	(*.f64 (-.f64 a 1/3) rand)
	0.0b	(-.f64 (*.f64 9 a) 3)
✓	0.0b	(*.f64 (-.f64 a 1/3) rand)
✓	0.1b	(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
✓	0.5b	(/.f64 1 (-.f64 (*.f64 9 a) 3))
✓	9.9b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))

Compiler

Compiled 53 to 41 computations (22.6% saved)

series15.0ms (0.2%)

Counts

4 → 32

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	rand	@	inf	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
2.0ms	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	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
1.0ms	a	@	0	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))

rewrite118.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log-prod_binary64`
364×	`pow2_binary64`
254×	`pow1/3_binary64`
252×	`expm1-udef_binary64`
252×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	306	39
2	3703	39

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a -1/3) rand) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (fma.f64 a 9 -3) -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -3/2) (pow.f64 (.f64 (+.f64 a -1/3) rand) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (fma.f64 a 9 -3) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -3/2) (pow.f64 (.f64 (+.f64 a -1/3) rand) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) 3) (pow.f64 (fma.f64 a 9 -3) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -2) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 729 (pow.f64 a 3) -27)) (fma.f64 81 (.f64 a a) (fma.f64 a 27 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 81 (.f64 a a) -9)) (fma.f64 a 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3)))) (pow.f64 (fma.f64 a 9 -3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 a 9 -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a 9 -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 a 9 -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (pow.f64 (fma.f64 a 9 -3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (pow.f64 (fma.f64 a 9 -3) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -1/2 (log.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 a 9 -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 a -1/3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a rand) (.f64 -1/3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 rand a) (.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 a -1/3) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 a -1/3) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 a -1/3) rand) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 a -1/3) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 a -1/3) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 rand 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) rand) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 a -1/3) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a rand (.f64 -1/3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand a (*.f64 rand -1/3))))))

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

776×	`associate-/l*_binary64`
725×	`times-frac_binary64`
489×	`associate-/r*_binary64`
448×	`fma-def_binary64`
351×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	621
1	267	600
2	893	587
3	3644	479

Stop Event

1×	node limit

Counts

161 → 162

Calls

Call 1

Inputs
(.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 a (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (+.f64 (.f64 a (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (+.f64 (.f64 a (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))))
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (.f64 -1 a)) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (+.f64 (.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(sqrt.f64 -1/3)
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3))))))
(*.f64 -1/3 rand)
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 a rand)
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 a rand)
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))

Outputs
(.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 (.f64 -1/3 rand) (sqrt.f64 -1/3))
(.f64 rand (.f64 -1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 a (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 1/6 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 a (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/3 a)))
(+.f64 (.f64 a (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 (sqrt.f64 -1/3) (.f64 rand (+.f64 -1/3 a))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (+.f64 (.f64 a (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 (.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (/.f64 (.f64 -1/2 rand) (sqrt.f64 -1/3))) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 1/6 rand) (sqrt.f64 -1/3))) (.f64 (*.f64 -1/3 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 -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 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (/.f64 (.f64 rand -1/2) (sqrt.f64 -1/3))) (+.f64 (.f64 a (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/3 a))))
(+.f64 (.f64 (sqrt.f64 -1/3) (.f64 rand (+.f64 -1/3 a))) (.f64 a (+.f64 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))) (.f64 a (.f64 rand (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (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))))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 9 (/.f64 (.f64 1/2 (+.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))) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 1/6 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 (+.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 -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 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (/.f64 (.f64 rand -1/2) (sqrt.f64 -1/3))) (fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3/2 (.f64 1/6 (.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))))) (+.f64 (.f64 a (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/3 a)))))
(+.f64 (.f64 (sqrt.f64 -1/3) (.f64 rand (+.f64 -1/3 a))) (.f64 a (+.f64 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))) (.f64 a (+.f64 (.f64 rand (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3)))) (.f64 a (+.f64 (.f64 (/.f64 rand (sqrt.f64 -1/3)) 15/16) (/.f64 rand (/.f64 (sqrt.f64 -1/3) -9/8)))))))))
-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 a (*.f64 a -3) (-.f64 -1/3 a))
(fma.f64 a (+.f64 -1 (*.f64 a -3)) -1/3)
(-.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 (-.f64 (fma.f64 (.f64 a a) -3 (.f64 (pow.f64 a 3) -9)) a))
(fma.f64 a (*.f64 a -3) (fma.f64 (pow.f64 a 3) -9 (-.f64 -1/3 a)))
(-.f64 (fma.f64 (.f64 a a) (+.f64 -3 (.f64 a -9)) -1/3) 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 a a)) (/.f64 1/9 a))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (+.f64 (/.f64 1/9 a) (/.f64 1/243 (pow.f64 a 4))) (/.f64 1/81 (pow.f64 a 3))))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (+.f64 (/.f64 1/9 a) (/.f64 1/243 (pow.f64 a 4))) (/.f64 1/81 (pow.f64 a 3))))
(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 (fma.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a a) (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (sqrt.f64 -1/3) (.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 a (.f64 (*.f64 a a) 9/4))))
(+.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 (.f64 (pow.f64 a 3) (+.f64 9 (/.f64 (.f64 1/2 (+.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 -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 9 (.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (fma.f64 -1/2 (fma.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a a) (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (.f64 (/.f64 -9/8 (/.f64 (sqrt.f64 -1/3) a)) a) (+.f64 (sqrt.f64 -1/3) (.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 (*.f64 (pow.f64 a 3) 45/8) a))))
(*.f64 -1/3 rand)
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(*.f64 a rand)
(*.f64 rand a)
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(*.f64 a rand)
(*.f64 rand a)
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (.f64 a rand) (.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))

localize86.0ms (1.1%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 76 to 62 computations (18.4% saved)

series10.0ms (0.1%)

Counts

4 → 42

Calls

18 calls:

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

rewrite107.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`prod-diff_binary64`
637×	`log-prod_binary64`
421×	`fma-def_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	288	49
2	3789	49

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

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

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

833×	`associate-/r*_binary64`
465×	`distribute-rgt-in_binary64`
463×	`distribute-lft-in_binary64`
460×	`fma-def_binary64`
444×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1032
1	314	999
2	989	983
3	4346	799

Stop Event

1×	node limit

Counts

233 → 231

Calls

Call 1

Inputs
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))))
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3)))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)

Outputs
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))
(fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3)))
(fma.f64 3 (sqrt.f64 -1/3) (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))))
(fma.f64 3 (sqrt.f64 -1/3) (*.f64 (/.f64 3/2 (sqrt.f64 -1/3)) a))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(fma.f64 -3/8 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (.f64 3 (sqrt.f64 -1/3))))
(+.f64 (fma.f64 3 (sqrt.f64 -1/3) (.f64 3/2 (/.f64 a (sqrt.f64 -1/3)))) (.f64 9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(fma.f64 3 (sqrt.f64 -1/3) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 9/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)))))
(fma.f64 3 (sqrt.f64 -1/3) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 3/2 (/.f64 (.f64 a -3/8) -1/3))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))))
(fma.f64 -3/8 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (.f64 3 (sqrt.f64 -1/3)))))
(+.f64 (.f64 9/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3))) (fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3 (sqrt.f64 -1/3) (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))))))
(fma.f64 9/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3 (sqrt.f64 -1/3) (/.f64 (*.f64 3/16 (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)))))
(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 (sqrt.f64 -1/3)) (+.f64 3/2 (/.f64 (.f64 a -3/8) -1/3)))))
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3)))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (*.f64 1/3 (sqrt.f64 -3)))
(fma.f64 1/3 (sqrt.f64 -3) (/.f64 -3/2 (/.f64 (sqrt.f64 -3) a)))
(fma.f64 1/3 (sqrt.f64 -3) (*.f64 (/.f64 -3/2 (sqrt.f64 -3)) a))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 a a))) (.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (.f64 -1/6 (.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a a)))))
(fma.f64 1/3 (sqrt.f64 -3) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (.f64 -1/6 (.f64 (*.f64 a a) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))))
(fma.f64 1/3 (sqrt.f64 -3) (.f64 a (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (.f64 (/.f64 -27/8 (sqrt.f64 -3)) a))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(fma.f64 -1/6 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (pow.f64 a 3))) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 a a))) (*.f64 1/3 (sqrt.f64 -3)))))
(fma.f64 -1/6 (.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (pow.f64 a 3)) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (.f64 -1/6 (.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (.f64 a a))))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (.f64 (pow.f64 a 3) (/.f64 (+.f64 81 (.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3))) (fma.f64 1/3 (sqrt.f64 -3) (.f64 -1/6 (.f64 (*.f64 a a) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))))
(+.f64 (fma.f64 1/3 (sqrt.f64 -3) (.f64 a (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (.f64 (/.f64 -27/8 (sqrt.f64 -3)) a)))) (*.f64 (/.f64 -135/16 (sqrt.f64 -3)) (pow.f64 a 3)))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(.f64 1/3 (.f64 (sqrt.f64 -3) rand))
(.f64 (sqrt.f64 -3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (/.f64 (.f64 -3/2 (*.f64 a rand)) (sqrt.f64 -3)))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand)))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(.f64 rand (fma.f64 1/3 (sqrt.f64 -3) (.f64 (/.f64 -3/2 (sqrt.f64 -3)) a)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 (.f64 a a) rand))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (.f64 (/.f64 a (sqrt.f64 -3)) rand) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (/.f64 (sqrt.f64 -3) rand) (.f64 a a))))))
(fma.f64 -1/6 (.f64 (/.f64 (.f64 a (.f64 a rand)) (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3)))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (.f64 rand (.f64 a (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (.f64 (/.f64 -27/8 (sqrt.f64 -3)) 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 (sqrt.f64 -3) rand) (fma.f64 -1/6 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (.f64 (pow.f64 a 3) rand))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (.f64 (.f64 a a) rand)))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -1/6 (.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (.f64 (pow.f64 a 3) rand)) (fma.f64 -3/2 (.f64 (/.f64 a (sqrt.f64 -3)) rand) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (/.f64 (sqrt.f64 -3) rand) (.f64 a a)))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3)) (.f64 -1/6 (+.f64 (.f64 (/.f64 (.f64 a (.f64 a rand)) (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (.f64 (/.f64 (.f64 (pow.f64 a 3) rand) (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))))))
(+.f64 (.f64 rand (fma.f64 1/3 (sqrt.f64 -3) (.f64 (/.f64 -3/2 (sqrt.f64 -3)) a))) (.f64 rand (.f64 (.f64 a a) (+.f64 (/.f64 -27/8 (sqrt.f64 -3)) (.f64 (/.f64 -135/16 (sqrt.f64 -3)) 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 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 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1))
(+.f64 -1/3 (.f64 (.f64 (sqrt.f64 -3) rand) -1/9))
(fma.f64 (*.f64 (sqrt.f64 -3) rand) -1/9 -1/3)
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(fma.f64 a (+.f64 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1) (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1)))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (.f64 (*.f64 (sqrt.f64 -3) rand) -1/9)))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (.f64 (sqrt.f64 -3) rand) -1/9 -1/3))
(+.f64 (.f64 (fma.f64 (sqrt.f64 -3) (.f64 1/3 rand) 1) (+.f64 -1/3 a)) (*.f64 a (/.f64 rand (/.f64 (sqrt.f64 -3) 1/2))))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (+.f64 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1) (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1) (.f64 (.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 (sqrt.f64 -3) rand) (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 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (+.f64 -1/3 (.f64 (*.f64 (sqrt.f64 -3) rand) -1/9))))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 a (.f64 a (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (.f64 1/18 (.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) (fma.f64 (*.f64 (sqrt.f64 -3) rand) -1/9 -1/3)))
(fma.f64 a (.f64 a (.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (.f64 (fma.f64 (sqrt.f64 -3) (.f64 1/3 rand) 1) (+.f64 -1/3 a)) (*.f64 a (/.f64 rand (/.f64 (sqrt.f64 -3) 1/2)))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1) (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) 1) (.f64 (.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (.f64 1/18 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (.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)))) (+.f64 -1/3 (.f64 (.f64 (sqrt.f64 -3) rand) -1/9)))))
(fma.f64 a (fma.f64 1/3 (.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (+.f64 81 (.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (/.f64 (/.f64 (sqrt.f64 -3) rand) 1/18))) (fma.f64 a (.f64 a (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (.f64 1/18 (.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) (fma.f64 (*.f64 (sqrt.f64 -3) rand) -1/9 -1/3))))
(fma.f64 (pow.f64 a 3) (.f64 rand (+.f64 (/.f64 45/16 (sqrt.f64 -3)) (/.f64 -27/8 (sqrt.f64 -3)))) (fma.f64 a (.f64 a (.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (.f64 (fma.f64 (sqrt.f64 -3) (.f64 1/3 rand) 1) (+.f64 -1/3 a)) (.f64 a (/.f64 rand (/.f64 (sqrt.f64 -3) 1/2))))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))

eval578.0ms (7.4%)

Compiler: Compiled 14487 to 11681 computations (19.4% saved)

prune153.0ms (2%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	672	5	677
Fresh	3	3	6
Picked	0	1	1
Done	0	4	4
Total	675	13	688

Error

Counts

688 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 rand (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (-.f64 a 1/3)) (-.f64 a 1/3))
✓	44.0b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
✓	19.1b	(-.f64 a 1/3)
✓	0.1b	(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3)))))
▶	43.9b	(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
▶	59.5b	(sqrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
✓	51.0b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
	19.5b	a
▶	51.6b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
	0.1b	(-.f64 a (-.f64 1/3 (.f64 (+.f64 a -1/3) (/.f64 rand (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
✓	0.1b	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 a 1/3)))) rand)))
	0.8b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
▶	44.0b	(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))

Compiler

Compiled 258 to 203 computations (21.3% saved)

localize30.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (fma.f64 9 a -3) -1/2)
	0.3b	(*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (-.f64 a 1/3))
	0.1b	(fma.f64 rand (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (-.f64 a 1/3)) (-.f64 a 1/3))
	0.1b	(fma.f64 9 a -3)
✓	0.1b	(fma.f64 9 a -3)
✓	0.1b	(fma.f64 rand (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (-.f64 a 1/3)) (-.f64 a 1/3))
✓	0.3b	(*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (-.f64 a 1/3))
✓	0.3b	(pow.f64 (fma.f64 9 a -3) -1/2)

Compiler

Compiled 46 to 35 computations (23.9% saved)

series13.0ms (0.2%)

Counts

4 → 46

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (-.f64 a 1/3))
1.0ms	a	@	-inf	(*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (-.f64 a 1/3))
1.0ms	a	@	inf	(pow.f64 (fma.f64 9 a -3) -1/2)
1.0ms	rand	@	0	(fma.f64 rand (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (-.f64 a 1/3)) (-.f64 a 1/3))
1.0ms	a	@	-inf	(pow.f64 (fma.f64 9 a -3) -1/2)

rewrite84.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`log-prod_binary64`
400×	`exp-prod_binary64`
317×	`pow-prod-down_binary64`
317×	`pow2_binary64`
220×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	262	48
2	3011	48

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

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

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

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

742×	`associate-/l*_binary64`
596×	`fma-def_binary64`
301×	`distribute-rgt-out_binary64`
279×	`distribute-rgt-in_binary64`
269×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	1273
1	351	1172
2	985	1011
3	4094	823

Stop Event

1×	node limit

Counts

175 → 179

Calls

Call 1

Inputs
(sqrt.f64 -1/3)
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/3)))))
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 135/16 (.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/3))))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 3))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2)))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))))))
(*.f64 -1/3 (sqrt.f64 -1/3))
(+.f64 (.f64 -1/3 (sqrt.f64 -1/3)) (.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a))
(+.f64 (.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a)))
(+.f64 (.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a) (.f64 (+.f64 (.f64 1/6 (/.f64 (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (pow.f64 a 3)))))
(-.f64 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)
(-.f64 (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3)
(-.f64 (+.f64 (.f64 a (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))) 1/3)
(-.f64 (+.f64 (.f64 a (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 2) rand)) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))) 1/3)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 3) rand)) (+.f64 (.f64 a (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 2) rand)) (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)))))) 1/3)
a
a
-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)

Outputs
(sqrt.f64 -1/3)
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3))
(*.f64 (sqrt.f64 -1/3) (fma.f64 3/2 a 1))
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/3)))))
(+.f64 (fma.f64 3/2 (.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3)) (.f64 27/8 (.f64 (sqrt.f64 -1/3) (.f64 a a))))
(fma.f64 3/2 (.f64 (sqrt.f64 -1/3) a) (.f64 (+.f64 (.f64 (.f64 27/8 a) a) 1) (sqrt.f64 -1/3)))
(.f64 (sqrt.f64 -1/3) (+.f64 (.f64 3/2 a) (fma.f64 27/8 (*.f64 a a) 1)))
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 135/16 (.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/3))))))
(+.f64 (fma.f64 3/2 (.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3)) (fma.f64 135/16 (.f64 (sqrt.f64 -1/3) (pow.f64 a 3)) (.f64 27/8 (.f64 (sqrt.f64 -1/3) (*.f64 a a)))))
(+.f64 (.f64 (sqrt.f64 -1/3) (+.f64 (.f64 (.f64 27/8 a) a) (.f64 135/16 (pow.f64 a 3)))) (fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3)))
(fma.f64 (sqrt.f64 -1/3) (.f64 (.f64 a a) (+.f64 27/8 (.f64 a 135/16))) (.f64 (sqrt.f64 -1/3) (fma.f64 3/2 a 1)))
(.f64 (sqrt.f64 -1/3) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 a 135/16) 27/8))) (fma.f64 3/2 a 1)))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))
(*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2))
(pow.f64 (*.f64 a 9) -1/2)
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))))
(fma.f64 1/6 (/.f64 (.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) a) (.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)))
(.f64 (+.f64 (/.f64 1/6 a) 1) (pow.f64 (.f64 a 9) -1/2))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2)))))
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(+.f64 a (fma.f64 (*.f64 (+.f64 -1/3 a) rand) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.f64 (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3)
(fma.f64 -1/3 (*.f64 (sqrt.f64 -1/3) rand) -1/3)
(*.f64 -1/3 (fma.f64 (sqrt.f64 -1/3) rand 1))
(fma.f64 (sqrt.f64 -1/3) (*.f64 -1/3 rand) -1/3)
(-.f64 (+.f64 (.f64 a (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))) 1/3)
(+.f64 (.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1)) (fma.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand) -1/3))
(fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 -1/3 (*.f64 (sqrt.f64 -1/3) rand) -1/3))
(fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (*.f64 -1/3 (fma.f64 (sqrt.f64 -1/3) rand 1)))
(fma.f64 -1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) -1/3))
(-.f64 (+.f64 (.f64 a (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 2) rand)) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))) 1/3)
(+.f64 (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 (-.f64 (/.f64 (.f64 1/6 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3)) (/.f64 1/2 (sqrt.f64 -1/3))) (.f64 (.f64 a a) rand) (.f64 -1/3 (*.f64 (sqrt.f64 -1/3) rand)))) -1/3)
(+.f64 -1/3 (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand) (.f64 (.f64 a a) (.f64 (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))) rand)))))
(+.f64 -1/3 (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (.f64 rand (fma.f64 -1/3 (sqrt.f64 -1/3) (.f64 a (*.f64 a (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3)))))))))
(fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 rand (fma.f64 (.f64 a a) (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3))) (.f64 -1/3 (sqrt.f64 -1/3))) -1/3))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 3) rand)) (+.f64 (.f64 a (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 2) rand)) (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)))))) 1/3)
(+.f64 (fma.f64 (fma.f64 1/6 (/.f64 (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (sqrt.f64 -1/3)) (.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 3) rand) (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 (-.f64 (/.f64 (.f64 1/6 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3)) (/.f64 1/2 (sqrt.f64 -1/3))) (.f64 (.f64 a a) rand) (.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand))))) -1/3)
(+.f64 -1/3 (fma.f64 (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9) (sqrt.f64 -1/3)))) (.f64 (pow.f64 a 3) rand) (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand) (.f64 (.f64 a a) (.f64 (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))) rand))))))
(+.f64 -1/3 (fma.f64 (+.f64 (/.f64 (fma.f64 1/6 (.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) 3/2) (sqrt.f64 -1/3)) (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) -3/2) (sqrt.f64 -1/3))) (.f64 (pow.f64 a 3) rand) (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (.f64 rand (fma.f64 -1/3 (sqrt.f64 -1/3) (.f64 a (*.f64 a (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))))))))
(+.f64 -1/3 (+.f64 (.f64 rand (fma.f64 -1/3 (sqrt.f64 -1/3) (.f64 a (+.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) (.f64 a (+.f64 (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3))) (.f64 a (+.f64 (/.f64 15/16 (sqrt.f64 -1/3)) (/.f64 -9/8 (sqrt.f64 -1/3)))))))))) a))
a
a
-3
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(*.f64 9 a)
(*.f64 a 9)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(*.f64 9 a)
(*.f64 a 9)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

series7.0ms (0.1%)

Counts

3 → 24

Calls

12 calls:

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

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	192	27
2	2295	27

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

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

Outputs

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

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

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

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-def_binary64`
515×	`associate-*l/_binary64`
497×	`associate-/r*_binary64`
481×	`associate-r_binary64`
476×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	450
1	166	440
2	488	432
3	1641	408
4	6414	400
5	7541	400

Stop Event

1×	node limit

Counts

70 → 70

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))))

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 1/6 (/.f64 (sqrt.f64 -1/3) a)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 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))))
(fma.f64 1/3 (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (/.f64 (/.f64 (*.f64 a a) 8) (sqrt.f64 -1/3))))
(fma.f64 1/3 (sqrt.f64 -1/3) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (.f64 -1/24 (/.f64 a -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 (*.f64 1/48 (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)))))
(fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 (*.f64 1/48 (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)))))
(fma.f64 1/3 (sqrt.f64 -1/3) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (.f64 -1/24 (/.f64 a -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 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 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 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand)))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (/.f64 (.f64 1/6 (*.f64 a rand)) (sqrt.f64 -1/3)))
(.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))))
(*.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 1/6 (/.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 -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 (*.f64 a a) rand) (sqrt.f64 -1/3)))))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (/.f64 (/.f64 (.f64 a (.f64 a rand)) 8) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (.f64 -1/24 (/.f64 a -1/3))))))
(.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (*.f64 -1/24 (/.f64 a -1/3))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (/.f64 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 (.f64 a a) rand) (sqrt.f64 -1/3))))))
(fma.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/48 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (/.f64 (/.f64 (.f64 a (*.f64 a rand)) 8) (sqrt.f64 -1/3)))))
(+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (.f64 -1/24 (/.f64 a -1/3))))) (.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))))))
(.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (*.f64 -1/24 (/.f64 a -1/3)))))))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(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))))
(fma.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2 (fma.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (sqrt.f64 -1/3)))
(+.f64 (sqrt.f64 -1/3) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (.f64 -1/8 (/.f64 a -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)))))
(fma.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) 1/16 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2 (fma.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 -1/3) (fma.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) 1/16 (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (.f64 -1/8 (/.f64 a -1/3))))))

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series7.0ms (0.1%)

Counts

3 → 20

Calls

12 calls:

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

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	192	22
2	2309	22

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

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

Outputs

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

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

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

simplify91.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

990×	`distribute-lft-out_binary64`
679×	`fma-def_binary64`
468×	`distribute-rgt-out_binary64`
463×	`associate-/r*_binary64`
455×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	354
1	132	346
2	396	342
3	1401	337
4	5724	324
5	6968	324

Stop Event

1×	node limit

Counts

66 → 63

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))))

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 (sqrt.f64 -1/3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(fma.f64 (.f64 1/3 rand) (sqrt.f64 -1/3) (/.f64 (.f64 (*.f64 1/6 rand) a) (sqrt.f64 -1/3)))
(fma.f64 (sqrt.f64 -1/3) (.f64 1/3 rand) (.f64 (/.f64 (*.f64 1/6 a) (sqrt.f64 -1/3)) rand))
(.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))))
(.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (/.f64 (*.f64 1/6 a) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 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 1/8 (/.f64 (.f64 rand a) (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 (sqrt.f64 -1/3) (.f64 1/3 rand) (.f64 (/.f64 (.f64 1/6 a) (sqrt.f64 -1/3)) rand)))
(fma.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (.f64 a a))) (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))))
(.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 (.f64 -1/24 (/.f64 a -1/3)) 1/6))))
(+.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 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(fma.f64 1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 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 1/8 (/.f64 (.f64 rand a) (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 rand 1/48)))))
(fma.f64 1/6 (.f64 a (/.f64 rand (sqrt.f64 -1/3))) (fma.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (.f64 a a))) (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))))))
(.f64 rand (+.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 (.f64 -1/24 (/.f64 a -1/3)) 1/6)) (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (/.f64 (*.f64 1/48 (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.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 1/2 (sqrt.f64 -1/3)) a (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (.f64 3/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3))))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (sqrt.f64 -1/3)))
(+.f64 (sqrt.f64 -1/3) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (/.f64 (.f64 a -1/8) -1/3))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 3/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3)))))
(fma.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (/.f64 (.f64 a -1/8) -1/3)))))
(+.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (/.f64 (.f64 a -1/8) -1/3))) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (sqrt.f64 -1/3)))

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	9.9b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
	0.4b	(/.f64 1/9 a)
	0.1b	(sqrt.f64 (/.f64 1/9 a))
	0.0b	(*.f64 (-.f64 a 1/3) rand)
	0.0b	(*.f64 (-.f64 a 1/3) rand)
✓	0.1b	(sqrt.f64 (/.f64 1/9 a))
✓	0.4b	(/.f64 1/9 a)
✓	9.9b	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series19.0ms (0.2%)

Counts

3 → 12

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
4.0ms	a	@	inf	(sqrt.f64 (/.f64 1/9 a))
1.0ms	a	@	-inf	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
1.0ms	a	@	0	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
1.0ms	rand	@	0	(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	221	25
2	2758	25

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

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

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

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

simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

74×	`fma-def_binary64`
71×	`associate-l_binary64`
71×	`distribute-lft-in_binary64`
71×	`distribute-rgt-in_binary64`
35×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	216
1	23	216
2	51	216
3	170	192
4	422	192
5	548	192

Stop Event

1×

saturated

Counts

149 → 139

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	24.0b	(sqrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
	7.3b	(.f64 (+.f64 a -1/3) (.f64 rand rand))
	0.2b	(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
✓	0.2b	(.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand)))
✓	7.3b	(.f64 (+.f64 a -1/3) (.f64 rand rand))
✓	24.0b	(sqrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))

Compiler

Compiled 38 to 21 computations (44.7% saved)

series9.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

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

rewrite87.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

487×	`log-prod_binary64`
426×	`prod-exp_binary64`
362×	`exp-prod_binary64`
326×	`pow-prod-down_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	216	35
2	2632	31

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

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

Outputs

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

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

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

697×	`associate-l_binary64`
676×	`unswap-sqr_binary64`
671×	`associate-r_binary64`
599×	`distribute-rgt-out_binary64`
528×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	885
1	134	795
2	373	753
3	1338	750
4	6192	740

Stop Event

1×	node limit

Counts

193 → 156

Calls

Call 1

Inputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 -1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (pow.f64 rand 2))
(+.f64 (.f64 a (pow.f64 rand 2)) (.f64 -1/3 (pow.f64 rand 2)))
(+.f64 (.f64 a (pow.f64 rand 2)) (.f64 -1/3 (pow.f64 rand 2)))
(+.f64 (.f64 a (pow.f64 rand 2)) (.f64 -1/3 (pow.f64 rand 2)))
(*.f64 a (pow.f64 rand 2))
(+.f64 (.f64 a (pow.f64 rand 2)) (.f64 -1/3 (pow.f64 rand 2)))
(+.f64 (.f64 a (pow.f64 rand 2)) (.f64 -1/3 (pow.f64 rand 2)))
(+.f64 (.f64 a (pow.f64 rand 2)) (.f64 -1/3 (pow.f64 rand 2)))
(*.f64 a (pow.f64 rand 2))
(+.f64 (.f64 a (pow.f64 rand 2)) (.f64 -1/3 (pow.f64 rand 2)))
(+.f64 (.f64 a (pow.f64 rand 2)) (.f64 -1/3 (pow.f64 rand 2)))
(+.f64 (.f64 a (pow.f64 rand 2)) (.f64 -1/3 (pow.f64 rand 2)))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 -1/27 (pow.f64 rand 2))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 1/9 (.f64 a (pow.f64 rand 2)))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (.f64 -1/27 (pow.f64 rand 2)) (.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(.f64 1/9 (.f64 (-.f64 a 1/3) (pow.f64 rand 2)))

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

eval352.0ms (4.5%)

Compiler: Compiled 10656 to 8224 computations (22.8% saved)

prune135.0ms (1.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	635	5	640
Fresh	2	1	3
Picked	0	1	1
Done	6	3	9
Total	643	10	653

Error

Counts

653 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.6b	(+.f64 0 (.f64 (+.f64 a -1/3) (.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
✓	43.9b	(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
▶	46.7b	(.f64 rand (.f64 1/3 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))))
✓	44.0b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶	51.6b	(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
▶	43.9b	(.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9)))
✓	59.5b	(sqrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
✓	19.1b	(-.f64 a 1/3)
	19.5b	a
▶	0.8b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))

Compiler

Compiled 160 to 125 computations (21.9% saved)

localize20.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

series10.0ms (0.1%)

Counts

3 → 26

Calls

15 calls:

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

rewrite75.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	267	31
2	3599	31

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

Outputs

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

simplify143.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2343×	`fma-neg_binary64`
486×	`fma-def_binary64`
281×	`distribute-rgt-in_binary64`
263×	`distribute-rgt-neg-in_binary64`
230×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	402
1	35	384
2	76	384
3	211	362
4	562	353
5	883	353
6	1439	353
7	2692	353
8	4612	353
9	5043	353
10	5145	353
11	5159	353
12	5159	353
13	5163	353
14	6800	353
15	6800	353
16	6800	353
17	6800	353

Stop Event

1×

saturated

Counts

198 → 180

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)

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

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 28 to 21 computations (25% saved)

series5.0ms (0.1%)

Counts

3 → 32

Calls

12 calls:

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

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`pow1_binary64`
842×	`add-log-exp_binary64`
842×	`log1p-expm1-u_binary64`
842×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	192	28
2	2280	28

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

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

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

893×	`associate-/l*_binary64`
668×	`fma-def_binary64`
436×	`associate-/r*_binary64`
417×	`associate-l_binary64`
415×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	420
1	147	412
2	409	408
3	1344	374
4	6297	366
5	7231	366

Stop Event

1×	node limit

Counts

89 → 78

Calls

Call 1

Inputs
-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 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 1/3 (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)))))

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

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	9.9b	(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
	0.4b	(/.f64 1/9 a)
	0.1b	(sqrt.f64 (/.f64 1/9 a))
	0.1b	(sqrt.f64 (/.f64 1/9 a))
	0.4b	(/.f64 1/9 a)
✓	9.9b	(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	170	12
2	2070	12

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	108
1	11	108
2	18	108
3	20	108

Stop Event

1×

saturated

Counts

27 → 17

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))

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

localize20.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	7.5b	(.f64 (+.f64 a -1/3) (.f64 rand (/.f64 1/3 (sqrt.f64 a))))
	0.4b	(/.f64 1/3 (sqrt.f64 a))
	0.2b	(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
✓	0.2b	(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
✓	0.4b	(/.f64 1/3 (sqrt.f64 a))
✓	7.5b	(.f64 (+.f64 a -1/3) (.f64 rand (/.f64 1/3 (sqrt.f64 a))))

Compiler

Compiled 44 to 27 computations (38.6% saved)

series7.0ms (0.1%)

Counts

3 → 24

Calls

15 calls:

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

rewrite68.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`log-prod_binary64`
380×	`exp-prod_binary64`
363×	`pow-prod-down_binary64`
273×	`pow2_binary64`
197×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	220	30
2	2792	30

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

Outputs

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

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

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

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

74×	`fma-def_binary64`
73×	`associate-l_binary64`
69×	`distribute-lft-in_binary64`
69×	`distribute-rgt-in_binary64`
39×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	360
1	29	360
2	60	360
3	172	336
4	416	336
5	546	336

Stop Event

1×

saturated

Counts

139 → 119

Calls

Call 1

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

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

localize30.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	19.6b	(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
	0.4b	(*.f64 1/3 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2)))
	0.2b	(.f64 rand (.f64 1/3 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))))
	0.0b	(pow.f64 (+.f64 a -1/3) 3/2)
✓	0.0b	(pow.f64 (+.f64 a -1/3) 3/2)
✓	0.2b	(.f64 rand (.f64 1/3 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))))
✓	0.4b	(*.f64 1/3 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2)))
✓	19.6b	(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))

Compiler

Compiled 39 to 31 computations (20.5% saved)

series7.0ms (0.1%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(pow.f64 (+.f64 a -1/3) 3/2)
1.0ms	a	@	inf	(pow.f64 (+.f64 a -1/3) 3/2)
1.0ms	a	@	0	(pow.f64 (+.f64 a -1/3) 3/2)
1.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
1.0ms	a	@	0	(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))

rewrite68.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
364×	`exp-prod_binary64`
352×	`prod-exp_binary64`
284×	`pow-prod-down_binary64`
275×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	236	34
2	2747	34

Stop Event

1×	node limit

Counts

4 → 144

Calls

Call 1

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

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

677×	`associate-/r*_binary64`
637×	`associate-*l/_binary64`
416×	`associate-*r/_binary64`
388×	`fma-def_binary64`
374×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	112	822
1	295	783
2	832	691
3	2733	620
4	6813	590

Stop Event

1×	node limit

Counts

180 → 191

Calls

Call 1

Inputs
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(*.f64 1/3 (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 -1/27)
(+.f64 (.f64 -9/2 (.f64 a (sqrt.f64 -1/27))) (sqrt.f64 -1/27))
(+.f64 (.f64 -9/2 (.f64 a (sqrt.f64 -1/27))) (+.f64 (sqrt.f64 -1/27) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 27/16 (.f64 (pow.f64 a 3) (sqrt.f64 -1/27))) (+.f64 (.f64 -9/2 (.f64 a (sqrt.f64 -1/27))) (+.f64 (sqrt.f64 -1/27) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))))
(sqrt.f64 (pow.f64 a 3))
(+.f64 (sqrt.f64 (pow.f64 a 3)) (*.f64 -1/2 (sqrt.f64 a)))
(+.f64 (.f64 1/24 (sqrt.f64 (/.f64 1 a))) (+.f64 (sqrt.f64 (pow.f64 a 3)) (.f64 -1/2 (sqrt.f64 a))))
(+.f64 (.f64 1/24 (sqrt.f64 (/.f64 1 a))) (+.f64 (sqrt.f64 (pow.f64 a 3)) (+.f64 (.f64 -1/2 (sqrt.f64 a)) (*.f64 1/432 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a))))))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 1/432 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))))))

Outputs
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (.f64 3/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3))))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (sqrt.f64 -1/3)))
(+.f64 (sqrt.f64 -1/3) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (.f64 -1/8 (/.f64 a -1/3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 3/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3)))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (.f64 -1/8 (/.f64 a -1/3))))))
(*.f64 1/3 (sqrt.f64 -1/3))
(*.f64 (sqrt.f64 -1/3) 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 (sqrt.f64 -1/3) 1/3))
(fma.f64 (sqrt.f64 -1/3) 1/3 (*.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6))
(fma.f64 (sqrt.f64 -1/3) 1/3 (/.f64 a (/.f64 (sqrt.f64 -1/3) 1/6)))
(fma.f64 (sqrt.f64 -1/3) 1/3 (*.f64 a (/.f64 1/6 (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 (sqrt.f64 -1/3) 1/3)))
(+.f64 (fma.f64 (sqrt.f64 -1/3) 1/3 (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)) (.f64 1/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(fma.f64 (sqrt.f64 -1/3) 1/3 (fma.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (/.f64 a (/.f64 (sqrt.f64 -1/3) 1/6))))
(fma.f64 (sqrt.f64 -1/3) 1/3 (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 (.f64 a -1/24) -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 (sqrt.f64 -1/3) 1/3))))
(+.f64 (.f64 1/8 (/.f64 (.f64 a a) (sqrt.f64 -1/3))) (fma.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6 (fma.f64 (sqrt.f64 -1/3) 1/3 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) 1/48))))
(fma.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) 1/48 (fma.f64 (sqrt.f64 -1/3) 1/3 (/.f64 a (/.f64 (sqrt.f64 -1/3) 1/6)))))
(+.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) 1/48)) (fma.f64 (sqrt.f64 -1/3) 1/3 (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 (.f64 a -1/24) -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 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.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 (sqrt.f64 -1/3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(fma.f64 (sqrt.f64 -1/3) (.f64 1/3 rand) (.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(.f64 rand (fma.f64 (sqrt.f64 -1/3) 1/3 (.f64 a (/.f64 1/6 (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (/.f64 (.f64 -1/24 (.f64 (.f64 a a) rand)) (pow.f64 (sqrt.f64 -1/3) 3))))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (.f64 1/8 (/.f64 (.f64 a (.f64 a rand)) (sqrt.f64 -1/3)))))
(fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 (sqrt.f64 -1/3) (.f64 1/3 rand) (/.f64 (.f64 1/8 (.f64 a (.f64 a rand))) (sqrt.f64 -1/3))))
(fma.f64 (sqrt.f64 -1/3) (.f64 1/3 rand) (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 (.f64 a -1/24) -1/3)))))
(.f64 rand (fma.f64 (sqrt.f64 -1/3) 1/3 (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 (*.f64 a -1/24) -1/3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (.f64 (.f64 a a) rand) (pow.f64 (sqrt.f64 -1/3) 3)) (/.f64 (.f64 1/48 (*.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 1/48 (.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 (sqrt.f64 -1/3) (.f64 1/3 rand) (fma.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) (.f64 a rand))) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) 1/48)) rand))))
(+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 (.f64 a -1/24) -1/3)))) (.f64 rand (fma.f64 (sqrt.f64 -1/3) 1/3 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) 1/48)))))
(.f64 rand (+.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) 1/48)) (fma.f64 (sqrt.f64 -1/3) 1/3 (.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 (*.f64 a -1/24) -1/3))))))
(sqrt.f64 -1/27)
(+.f64 (.f64 -9/2 (.f64 a (sqrt.f64 -1/27))) (sqrt.f64 -1/27))
(fma.f64 -9/2 (*.f64 a (sqrt.f64 -1/27)) (sqrt.f64 -1/27))
(.f64 (+.f64 (.f64 a -9/2) 1) (sqrt.f64 -1/27))
(*.f64 (sqrt.f64 -1/27) (fma.f64 a -9/2 1))
(+.f64 (.f64 -9/2 (.f64 a (sqrt.f64 -1/27))) (+.f64 (sqrt.f64 -1/27) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (fma.f64 -9/2 (.f64 a (sqrt.f64 -1/27)) (sqrt.f64 -1/27)) (.f64 (.f64 27/8 (.f64 a a)) (sqrt.f64 -1/27)))
(fma.f64 -9/2 (.f64 a (sqrt.f64 -1/27)) (.f64 (+.f64 (.f64 (.f64 a a) 27/8) 1) (sqrt.f64 -1/27)))
(.f64 (sqrt.f64 -1/27) (+.f64 (.f64 a -9/2) (fma.f64 (*.f64 a a) 27/8 1)))
(.f64 (sqrt.f64 -1/27) (+.f64 1 (.f64 a (+.f64 (*.f64 a 27/8) -9/2))))
(+.f64 (.f64 27/16 (.f64 (pow.f64 a 3) (sqrt.f64 -1/27))) (+.f64 (.f64 -9/2 (.f64 a (sqrt.f64 -1/27))) (+.f64 (sqrt.f64 -1/27) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))))
(fma.f64 27/16 (.f64 (pow.f64 a 3) (sqrt.f64 -1/27)) (+.f64 (fma.f64 -9/2 (.f64 a (sqrt.f64 -1/27)) (sqrt.f64 -1/27)) (.f64 (.f64 27/8 (*.f64 a a)) (sqrt.f64 -1/27))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 a a) 27/8) 1) (sqrt.f64 -1/27)) (.f64 (sqrt.f64 -1/27) (+.f64 (.f64 (pow.f64 a 3) 27/16) (.f64 a -9/2))))
(fma.f64 (sqrt.f64 -1/27) (fma.f64 (pow.f64 a 3) 27/16 (.f64 a -9/2)) (.f64 (sqrt.f64 -1/27) (fma.f64 (*.f64 a a) 27/8 1)))
(.f64 (sqrt.f64 -1/27) (+.f64 (fma.f64 a -9/2 1) (.f64 (.f64 a a) (+.f64 27/8 (.f64 a 27/16)))))
(.f64 (+.f64 (.f64 a (+.f64 -9/2 (.f64 a (+.f64 27/8 (.f64 a 27/16))))) 1) (sqrt.f64 -1/27))
(sqrt.f64 (pow.f64 a 3))
(pow.f64 a 3/2)
(+.f64 (sqrt.f64 (pow.f64 a 3)) (*.f64 -1/2 (sqrt.f64 a)))
(fma.f64 -1/2 (sqrt.f64 a) (sqrt.f64 (pow.f64 a 3)))
(fma.f64 -1/2 (sqrt.f64 a) (pow.f64 a 3/2))
(*.f64 (sqrt.f64 a) (+.f64 -1/2 a))
(+.f64 (.f64 1/24 (sqrt.f64 (/.f64 1 a))) (+.f64 (sqrt.f64 (pow.f64 a 3)) (.f64 -1/2 (sqrt.f64 a))))
(fma.f64 1/24 (sqrt.f64 (/.f64 1 a)) (+.f64 (sqrt.f64 (pow.f64 a 3)) (*.f64 -1/2 (sqrt.f64 a))))
(fma.f64 1/24 (sqrt.f64 (/.f64 1 a)) (fma.f64 -1/2 (sqrt.f64 a) (sqrt.f64 (pow.f64 a 3))))
(fma.f64 -1/2 (sqrt.f64 a) (fma.f64 1/24 (sqrt.f64 (/.f64 1 a)) (pow.f64 a 3/2)))
(fma.f64 1/24 (sqrt.f64 (/.f64 1 a)) (*.f64 (sqrt.f64 a) (+.f64 -1/2 a)))
(+.f64 (.f64 1/24 (sqrt.f64 (/.f64 1 a))) (+.f64 (sqrt.f64 (pow.f64 a 3)) (+.f64 (.f64 -1/2 (sqrt.f64 a)) (*.f64 1/432 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))))))
(fma.f64 1/24 (sqrt.f64 (/.f64 1 a)) (+.f64 (sqrt.f64 (pow.f64 a 3)) (fma.f64 -1/2 (sqrt.f64 a) (*.f64 1/432 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))))))
(+.f64 (fma.f64 1/24 (sqrt.f64 (/.f64 1 a)) (fma.f64 -1/2 (sqrt.f64 a) (sqrt.f64 (pow.f64 a 3)))) (*.f64 1/432 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))))
(fma.f64 1/24 (sqrt.f64 (/.f64 1 a)) (fma.f64 -1/2 (sqrt.f64 a) (fma.f64 1/432 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 a 3/2))))
(fma.f64 1/24 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/432 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (*.f64 (sqrt.f64 a) (+.f64 -1/2 a))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(sqrt.f64 (pow.f64 a 3))
(pow.f64 a 3/2)
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) a) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))) a) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))))
(fma.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 a) -3/2) (.f64 (/.f64 -1/2 a) (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 a) -3/2))))
(*.f64 (+.f64 (/.f64 -1/2 a) 1) (pow.f64 (exp.f64 3/2) (log.f64 a)))
(*.f64 (+.f64 (/.f64 -1/2 a) 1) (pow.f64 a 3/2))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a))))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) a) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) (*.f64 a a)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a)))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))) a) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))) (*.f64 a a)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a))))))
(fma.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 a) -3/2) (.f64 (/.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 a) -3/2)) a) (+.f64 -1/2 (/.f64 1/24 a))))
(+.f64 (pow.f64 (exp.f64 3/2) (log.f64 a)) (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (log.f64 a)) a) (+.f64 -1/2 (/.f64 1/24 a))))
(*.f64 (pow.f64 a 3/2) (+.f64 (/.f64 (/.f64 1/24 a) a) (+.f64 (/.f64 -1/2 a) 1)))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 1/432 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) a) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) (.f64 a a)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a)))))) (.f64 1/432 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) (pow.f64 a 3)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))) a) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))) (*.f64 a a)) (fma.f64 1/432 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))) (pow.f64 a 3)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))))))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 a) -3/2)) a) (fma.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 a) -3/2) (.f64 (*.f64 (/.f64 (pow.f64 -1 3/2) a) (/.f64 (pow.f64 (/.f64 -1 a) -3/2) a)) (+.f64 1/24 (/.f64 1/432 a)))))
(+.f64 (pow.f64 (exp.f64 3/2) (log.f64 a)) (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (log.f64 a)) a) (+.f64 -1/2 (+.f64 (/.f64 1/24 a) (/.f64 (/.f64 1/432 a) a)))))
(+.f64 (pow.f64 a 3/2) (*.f64 (/.f64 (pow.f64 a 3/2) a) (+.f64 -1/2 (+.f64 (/.f64 1/24 a) (/.f64 (/.f64 1/432 a) a)))))

eval317.0ms (4.1%)

Compiler: Compiled 10690 to 7744 computations (27.6% saved)

prune147.0ms (1.9%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	677	5	682
Fresh	1	0	1
Picked	1	0	1
Done	1	7	8
Total	680	12	692

Error

Counts

692 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.6b	(+.f64 0 (.f64 (+.f64 a -1/3) (.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
	44.6b	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
	44.6b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
✓	59.5b	(sqrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
✓	51.6b	(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
✓	43.9b	(.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9)))
	19.5b	a
✓	44.0b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
✓	19.1b	(-.f64 a 1/3)
	44.6b	(.f64 rand (sqrt.f64 (.f64 1/9 a)))
✓	0.8b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
	44.7b	(-.f64 (+.f64 1 (.f64 rand (.f64 a (/.f64 1/3 (sqrt.f64 a))))) 1)

Compiler

Compiled 116 to 89 computations (23.3% saved)

regimes128.0ms (1.6%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

4 calls:

45.0ms	a
42.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
16.0ms	rand
15.0ms	(-.f64 a (/.f64 1 3))

Results

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

Compiler

Compiled 319 to 239 computations (25.1% saved)

regimes31.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

Inputs
a
a
a
(-.f64 a 1/3)
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (sqrt.f64 (.f64 1/9 a)))
(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
(.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9)))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(sqrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(-.f64 (+.f64 1 (.f64 rand (.f64 a (/.f64 1/3 (sqrt.f64 a))))) 1)
(+.f64 0 (.f64 (+.f64 a -1/3) (.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 a (-.f64 1/3 (.f64 (+.f64 a -1/3) (/.f64 rand (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))

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

Calls

2 calls:

13.0ms	rand
11.0ms	a

Results

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

Compiler

Compiled 166 to 116 computations (30.1% saved)

regimes46.0ms (0.6%)

Counts

19 → 1

Calls

Call 1

Inputs
a
a
a
(-.f64 a 1/3)
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (sqrt.f64 (.f64 1/9 a)))
(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
(.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9)))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(sqrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(-.f64 (+.f64 1 (.f64 rand (.f64 a (/.f64 1/3 (sqrt.f64 a))))) 1)
(+.f64 0 (.f64 (+.f64 a -1/3) (.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))

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

Calls

2 calls:

28.0ms	a
12.0ms	rand

Results

Error	Segments	Branch
0.8b	1	`a`
0.8b	1	`rand`

Compiler

Compiled 150 to 104 computations (30.7% saved)

regimes99.0ms (1.3%)

Counts

17 → 3

Calls

Call 1

Inputs
a
a
a
(-.f64 a 1/3)
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (sqrt.f64 (.f64 1/9 a)))
(.f64 (.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
(.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9)))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(sqrt.f64 (.f64 1/9 (.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(-.f64 (+.f64 1 (.f64 rand (.f64 a (/.f64 1/3 (sqrt.f64 a))))) 1)
(+.f64 0 (.f64 (+.f64 a -1/3) (.f64 rand (/.f64 1/3 (sqrt.f64 a)))))

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

Calls

2 calls:

62.0ms	a
32.0ms	rand

Results

Error	Segments	Branch
14.9b	7	`a`
4.4b	3	`rand`

Compiler

Compiled 124 to 84 computations (32.3% saved)

bsearch65.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	3.525026299770496e+83	2.596715914321366e+85
33.0ms	-4.314852352834295e+95	-2.2603117024147055e+91

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes58.0ms (0.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	a
15.0ms	rand

Results

Error	Segments	Branch
14.9b	7	`a`
4.9b	3	`rand`

Compiler

Compiled 40 to 24 computations (40% saved)

bsearch119.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	3.525026299770496e+83	2.596715914321366e+85
60.0ms	-4.314852352834295e+95	-2.2603117024147055e+91

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes48.0ms (0.6%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	a
14.0ms	rand

Results

Error	Segments	Branch
14.9b	7	`a`
5.0b	3	`rand`

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch64.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	3.525026299770496e+83	2.596715914321366e+85
33.0ms	-4.314852352834295e+95	-2.2603117024147055e+91

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes9.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(-.f64 a 1/3)

Calls

2 calls:

4.0ms	a
4.0ms	rand

Results

Error	Segments	Branch
19.1b	1	`a`
19.1b	1	`rand`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes10.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Calls

Call 1

Inputs
a
a
a

Outputs
a

Calls

2 calls:

5.0ms	rand
4.0ms	a

Results

Error	Segments	Branch
19.5b	1	`a`
19.5b	1	`rand`

Compiler

Compiled 11 to 6 computations (45.5% saved)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

103×	`distribute-rgt-neg-in_binary64`
75×	`cancel-sign-sub-inv_binary64`
69×	`distribute-lft-neg-out_binary64`
61×	`distribute-lft-neg-in_binary64`
56×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	176
1	75	176
2	97	176
3	125	176
4	160	176
5	206	176
6	282	176
7	390	176
8	512	176
9	642	176
10	715	176
11	736	176
12	740	176

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3)))))
(-.f64 a (-.f64 1/3 (.f64 (+.f64 a -1/3) (/.f64 rand (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
(if (<=.f64 rand -431485235283429489131122523437414298974348616732445657426987294028486554297105142000926911889408) (.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9))) (if (<=.f64 rand 352502629977049604974664306051613277783558898898448620282376528520390681674735681536) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -431485235283429489131122523437414298974348616732445657426987294028486554297105142000926911889408) (.f64 (sqrt.f64 a) (.f64 1/3 rand)) (if (<=.f64 rand 352502629977049604974664306051613277783558898898448620282376528520390681674735681536) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (.f64 1/9 a)))))
(if (<=.f64 rand -431485235283429489131122523437414298974348616732445657426987294028486554297105142000926911889408) (.f64 (sqrt.f64 a) (.f64 1/3 rand)) (if (<=.f64 rand 352502629977049604974664306051613277783558898898448620282376528520390681674735681536) (-.f64 a 1/3) (.f64 (sqrt.f64 a) (.f64 1/3 rand))))
(-.f64 a 1/3)
a

Outputs
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (-.f64 a 1/3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (-.f64 1/3 a) (-.f64 -1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(-.f64 a (-.f64 1/3 (.f64 (+.f64 a -1/3) (/.f64 rand (.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 a (+.f64 -1/3 (.f64 (+.f64 a -1/3) (/.f64 rand (.f64 3 (sqrt.f64 (+.f64 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 rand (sqrt.f64 (.f64 a 9)))))
(if (<=.f64 rand -431485235283429489131122523437414298974348616732445657426987294028486554297105142000926911889408) (.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9))) (if (<=.f64 rand 352502629977049604974664306051613277783558898898448620282376528520390681674735681536) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -431485235283429489131122523437414298974348616732445657426987294028486554297105142000926911889408) (.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9))) (if (<=.f64 rand 352502629977049604974664306051613277783558898898448620282376528520390681674735681536) (+.f64 a -1/3) (.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -431485235283429489131122523437414298974348616732445657426987294028486554297105142000926911889408) (.f64 rand (sqrt.f64 (.f64 (-.f64 1/3 a) -1/9))) (if (<=.f64 rand 352502629977049604974664306051613277783558898898448620282376528520390681674735681536) (+.f64 a -1/3) (.f64 rand (sqrt.f64 (.f64 (-.f64 1/3 a) -1/9)))))
(if (<=.f64 rand -431485235283429489131122523437414298974348616732445657426987294028486554297105142000926911889408) (.f64 (sqrt.f64 a) (.f64 1/3 rand)) (if (<=.f64 rand 352502629977049604974664306051613277783558898898448620282376528520390681674735681536) (-.f64 a 1/3) (.f64 rand (sqrt.f64 (.f64 1/9 a)))))
(if (<=.f64 rand -431485235283429489131122523437414298974348616732445657426987294028486554297105142000926911889408) (.f64 (sqrt.f64 a) (.f64 1/3 rand)) (if (<=.f64 rand 352502629977049604974664306051613277783558898898448620282376528520390681674735681536) (+.f64 a -1/3) (.f64 rand (sqrt.f64 (.f64 a 1/9)))))
(if (<=.f64 rand -431485235283429489131122523437414298974348616732445657426987294028486554297105142000926911889408) (.f64 (sqrt.f64 a) (.f64 1/3 rand)) (if (<=.f64 rand 352502629977049604974664306051613277783558898898448620282376528520390681674735681536) (-.f64 a 1/3) (.f64 (sqrt.f64 a) (.f64 1/3 rand))))
(if (<=.f64 rand -431485235283429489131122523437414298974348616732445657426987294028486554297105142000926911889408) (.f64 (sqrt.f64 a) (.f64 1/3 rand)) (if (<=.f64 rand 352502629977049604974664306051613277783558898898448620282376528520390681674735681536) (+.f64 a -1/3) (.f64 (sqrt.f64 a) (.f64 1/3 rand))))
(-.f64 a 1/3)
(+.f64 a -1/3)
a

end139.0ms (1.8%)

Stop Event

1×

fuel

Compiler

Compiled 256 to 187 computations (27% saved)

Iter	Nodes	Cost
0	48	176
1	75	176
2	97	176
3	125	176
4	160	176
5	206	176
6	282	176
7	390	176
8	512	176
9	642	176
10	715	176
11	736	176
12	740	176

Iter	Nodes	Cost
0	48	176
1	75	176
2	97	176
3	125	176
4	160	176
5	206	176
6	282	176
7	390	176
8	512	176
9	642	176
10	715	176
11	736	176
12	740	176

Iter	Nodes	Cost
0	48	176
1	75	176
2	97	176
3	125	176
4	160	176
5	206	176
6	282	176
7	390	176
8	512	176
9	642	176
10	715	176
11	736	176
12	740	176