Details

analyze128.0ms (2.9%)

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
20%	4.8%	75.2%	13
20.7%	2.8%	76.5%	14

Compiler

Compiled 23 to 20 computations (13% saved)

sample1.3s (29.5%)

Results

1.2s	8256×	body	128	valid
76.0ms	590×	body	128	invalid

preprocess42.0ms (1%)

Algorithm

2×	egg-herbie

Rules

692×	`fma-def_binary64`
438×	`fma-neg_binary64`
227×	`sub-neg_binary64`
210×	`distribute-rgt-neg-in_binary64`
204×	`unsub-neg_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
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 22 to 19 computations (13.6% saved)

simplify69.0ms (1.6%)

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)

prune3.0ms (0.1%)

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

Compiler

Compiled 74 to 62 computations (16.2% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(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	(sqrt.f64 (fma.f64 a 9 -3))
✓	0.2b	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))

series18.0ms (0.4%)

Counts

4 → 50

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
2.0ms	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	(sqrt.f64 (fma.f64 a 9 -3))

rewrite66.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`prod-diff_binary64`
237×	`log1p-udef_binary64`
140×	`add-sqr-sqrt_binary64`
132×	`*-un-lft-identity_binary64`
132×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	287	40
2	3735	40

Stop Event

1×	node limit

Counts

4 → 127

Calls

Call 1

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

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Rules

408×	`fma-def_binary64`
348×	`associate-r_binary64`
311×	`associate-l_binary64`
289×	`distribute-rgt-out_binary64`
198×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	969
1	277	935
2	932	906
3	4261	888

Stop Event

1×	node limit

Counts

177 → 162

Calls

Call 1

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

eval84.0ms (1.9%)

Compiler: Compiled 3422 to 2720 computations (20.5% saved)

prune373.0ms (8.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	155	7	162
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	157	7	164

Error

0.0b

Counts

164 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	12.6b	(/.f64 (.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (+.f64 a -1/3)) (+.f64 1 (-.f64 (/.f64 (.f64 rand rand) (fma.f64 a 9 -3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
	9.6b	(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
▶	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))
	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))))
	9.3b	(/.f64 (.f64 (-.f64 1 (/.f64 (.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
	0.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)))
	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.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))))))))

Compiler

Compiled 336 to 270 computations (19.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))
	0.1b	(sqrt.f64 (fma.f64 a 9 -3))
✓	0.2b	(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
✓	1.0b	(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)

series16.0ms (0.4%)

Counts

3 → 48

Calls

18 calls:

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

rewrite64.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`prod-diff_binary64`
159×	`add-sqr-sqrt_binary64`
150×	`add-cbrt-cube_binary64`
150×	`add-log-exp_binary64`
150×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	329	39
2	4140	39

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

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

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

Outputs

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

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

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

simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

581×	`fma-def_binary64`
383×	`associate-l_binary64`
382×	`associate-r_binary64`
297×	`times-frac_binary64`
222×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	1099
1	302	1007
2	1186	940

Stop Event

1×	node limit

Counts

168 → 152

Calls

Call 1

Inputs
(/.f64 rand (sqrt.f64 -3))
(+.f64 (.f64 -9/2 (/.f64 (.f64 a rand) (pow.f64 (sqrt.f64 -3) 3))) (/.f64 rand (sqrt.f64 -3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -81/4 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (.f64 -81/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)))))) (+.f64 (.f64 -9/2 (/.f64 (.f64 a rand) (pow.f64 (sqrt.f64 -3) 3))) (/.f64 rand (sqrt.f64 -3))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -81/4 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (.f64 -81/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 729/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 7))) (.f64 -9/2 (/.f64 (+.f64 (.f64 -81/4 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (.f64 -81/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3))) (+.f64 (.f64 -9/2 (/.f64 (.f64 a rand) (pow.f64 (sqrt.f64 -3) 3))) (/.f64 rand (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 (sqrt.f64 -3) rand)
(+.f64 (/.f64 (sqrt.f64 -3) rand) (.f64 9/2 (/.f64 a (.f64 rand (sqrt.f64 -3)))))
(+.f64 (/.f64 (sqrt.f64 -3) rand) (+.f64 (.f64 9/2 (/.f64 a (.f64 rand (sqrt.f64 -3)))) (.f64 -81/8 (/.f64 (pow.f64 a 2) (.f64 rand (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (/.f64 (sqrt.f64 -3) rand) (+.f64 (.f64 9/2 (/.f64 a (.f64 rand (sqrt.f64 -3)))) (+.f64 (.f64 -81/8 (/.f64 (pow.f64 a 2) (.f64 rand (pow.f64 (sqrt.f64 -3) 3)))) (.f64 729/16 (/.f64 (pow.f64 a 3) (.f64 rand (pow.f64 (sqrt.f64 -3) 5)))))))
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(*.f64 -1/3 (+.f64 1 (/.f64 rand (sqrt.f64 -3))))
(+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 3/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3))) (/.f64 rand (sqrt.f64 -3))))) (*.f64 -1/3 (+.f64 1 (/.f64 rand (sqrt.f64 -3)))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (+.f64 (.f64 -81/4 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (.f64 -81/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))))) (.f64 -9/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 a 2)) (+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 3/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3))) (/.f64 rand (sqrt.f64 -3))))) (.f64 -1/3 (+.f64 1 (/.f64 rand (sqrt.f64 -3))))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (+.f64 (.f64 -81/4 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (.f64 -81/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))))) (.f64 -9/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 a 2)) (+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 3/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3))) (/.f64 rand (sqrt.f64 -3))))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1 (+.f64 (.f64 -81/4 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (.f64 -81/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))))) (.f64 1/3 (+.f64 (.f64 729/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 7))) (.f64 -9/2 (/.f64 (+.f64 (.f64 -81/4 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (.f64 -81/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 (sqrt.f64 -3) 2))))))) (*.f64 -1/3 (+.f64 1 (/.f64 rand (sqrt.f64 -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)

Outputs
(/.f64 rand (sqrt.f64 -3))
(+.f64 (.f64 -9/2 (/.f64 (.f64 a rand) (pow.f64 (sqrt.f64 -3) 3))) (/.f64 rand (sqrt.f64 -3)))
(fma.f64 -9/2 (/.f64 (*.f64 rand a) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 rand (sqrt.f64 -3)))
(+.f64 (/.f64 rand (sqrt.f64 -3)) (.f64 3/2 (/.f64 (.f64 rand a) (sqrt.f64 -3))))
(fma.f64 3/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) (/.f64 rand (sqrt.f64 -3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -81/4 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (.f64 -81/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)))))) (+.f64 (.f64 -9/2 (/.f64 (.f64 a rand) (pow.f64 (sqrt.f64 -3) 3))) (/.f64 rand (sqrt.f64 -3))))
(fma.f64 -1 (.f64 (.f64 a a) (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) -243/8)) (fma.f64 -9/2 (/.f64 (.f64 rand a) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 rand (sqrt.f64 -3))))
(+.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 (.f64 3/2 (/.f64 (.f64 rand a) (sqrt.f64 -3))) (.f64 (.f64 a a) (*.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) 243/8))))
(fma.f64 (.f64 a a) (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) 243/8) (fma.f64 3/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) (/.f64 rand (sqrt.f64 -3))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -81/4 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (.f64 -81/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 729/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 7))) (.f64 -9/2 (/.f64 (+.f64 (.f64 -81/4 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (.f64 -81/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3))) (+.f64 (.f64 -9/2 (/.f64 (.f64 a rand) (pow.f64 (sqrt.f64 -3) 3))) (/.f64 rand (sqrt.f64 -3)))))
(fma.f64 -1 (.f64 (.f64 a a) (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) -243/8)) (fma.f64 -1 (.f64 (fma.f64 729/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 7)) (.f64 -9/2 (/.f64 (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) -243/8) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (fma.f64 -9/2 (/.f64 (*.f64 rand a) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 rand (sqrt.f64 -3)))))
(+.f64 (fma.f64 (neg.f64 (fma.f64 -9/2 (/.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) 8/81) (/.f64 (.f64 rand 729/8) (pow.f64 (sqrt.f64 -3) 7)))) (pow.f64 a 3) (.f64 3/2 (/.f64 (.f64 rand a) (sqrt.f64 -3)))) (+.f64 (/.f64 rand (sqrt.f64 -3)) (.f64 (.f64 a a) (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) 243/8))))
(+.f64 (fma.f64 3/2 (.f64 (/.f64 rand (sqrt.f64 -3)) a) (/.f64 rand (sqrt.f64 -3))) (.f64 (.f64 a a) (-.f64 (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) 243/8) (.f64 a (fma.f64 -9/2 (/.f64 rand (.f64 8/81 (pow.f64 (sqrt.f64 -3) 5))) (*.f64 729/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 7))))))))
(.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 (sqrt.f64 -3) rand)
(+.f64 (/.f64 (sqrt.f64 -3) rand) (.f64 9/2 (/.f64 a (.f64 rand (sqrt.f64 -3)))))
(+.f64 (/.f64 (sqrt.f64 -3) rand) (/.f64 (.f64 9/2 a) (.f64 rand (sqrt.f64 -3))))
(fma.f64 9/2 (/.f64 a (*.f64 rand (sqrt.f64 -3))) (/.f64 (sqrt.f64 -3) rand))
(+.f64 (/.f64 (sqrt.f64 -3) rand) (+.f64 (.f64 9/2 (/.f64 a (.f64 rand (sqrt.f64 -3)))) (.f64 -81/8 (/.f64 (pow.f64 a 2) (.f64 rand (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (/.f64 (sqrt.f64 -3) rand) (fma.f64 9/2 (/.f64 a (.f64 rand (sqrt.f64 -3))) (.f64 -81/8 (/.f64 (.f64 a a) (.f64 rand (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (fma.f64 9/2 (/.f64 a (.f64 rand (sqrt.f64 -3))) (/.f64 (sqrt.f64 -3) rand)) (.f64 (/.f64 -81/8 rand) (/.f64 (.f64 a a) (.f64 -3 (sqrt.f64 -3)))))
(fma.f64 (/.f64 27/8 (sqrt.f64 -3)) (.f64 (/.f64 a rand) a) (fma.f64 9/2 (/.f64 a (.f64 rand (sqrt.f64 -3))) (/.f64 (sqrt.f64 -3) rand)))
(+.f64 (/.f64 (sqrt.f64 -3) rand) (+.f64 (.f64 9/2 (/.f64 a (.f64 rand (sqrt.f64 -3)))) (+.f64 (.f64 -81/8 (/.f64 (pow.f64 a 2) (.f64 rand (pow.f64 (sqrt.f64 -3) 3)))) (.f64 729/16 (/.f64 (pow.f64 a 3) (.f64 rand (pow.f64 (sqrt.f64 -3) 5)))))))
(+.f64 (/.f64 (sqrt.f64 -3) rand) (fma.f64 9/2 (/.f64 a (.f64 rand (sqrt.f64 -3))) (fma.f64 -81/8 (/.f64 (.f64 a a) (.f64 rand (pow.f64 (sqrt.f64 -3) 3))) (.f64 729/16 (/.f64 (/.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -3) 5))))))
(+.f64 (fma.f64 9/2 (/.f64 a (.f64 rand (sqrt.f64 -3))) (/.f64 (sqrt.f64 -3) rand)) (fma.f64 -81/8 (.f64 (/.f64 a rand) (/.f64 a (.f64 -3 (sqrt.f64 -3)))) (.f64 (/.f64 729/16 rand) (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)))))
(+.f64 (/.f64 (sqrt.f64 -3) rand) (fma.f64 9/2 (/.f64 a (.f64 rand (sqrt.f64 -3))) (fma.f64 (/.f64 729/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (pow.f64 a 3) rand) (.f64 (*.f64 (/.f64 a rand) a) (/.f64 27/8 (sqrt.f64 -3))))))
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(*.f64 -1/3 (+.f64 1 (/.f64 rand (sqrt.f64 -3))))
(+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 -3)) -1/3))
(+.f64 -1/3 (/.f64 (*.f64 -1/3 rand) (sqrt.f64 -3)))
(fma.f64 (/.f64 rand (sqrt.f64 -3)) -1/3 -1/3)
(+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 3/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3))) (/.f64 rand (sqrt.f64 -3))))) (*.f64 -1/3 (+.f64 1 (/.f64 rand (sqrt.f64 -3)))))
(fma.f64 a (+.f64 1 (fma.f64 3/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3)) (/.f64 rand (sqrt.f64 -3)))) (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 -3)) -1/3)))
(fma.f64 a (+.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 1 (.f64 -1/2 (/.f64 rand (sqrt.f64 -3))))) (+.f64 -1/3 (/.f64 (.f64 -1/3 rand) (sqrt.f64 -3))))
(+.f64 a (fma.f64 a (*.f64 1/2 (/.f64 rand (sqrt.f64 -3))) (fma.f64 (/.f64 rand (sqrt.f64 -3)) -1/3 -1/3)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (+.f64 (.f64 -81/4 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (.f64 -81/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))))) (.f64 -9/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 a 2)) (+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 3/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3))) (/.f64 rand (sqrt.f64 -3))))) (.f64 -1/3 (+.f64 1 (/.f64 rand (sqrt.f64 -3))))))
(fma.f64 (fma.f64 1/3 (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) -243/8) (.f64 -9/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3)))) (.f64 a a) (fma.f64 a (+.f64 1 (fma.f64 3/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3)) (/.f64 rand (sqrt.f64 -3)))) (+.f64 -1/3 (.f64 (/.f64 rand (sqrt.f64 -3)) -1/3))))
(fma.f64 (.f64 a a) (+.f64 (/.f64 -81/8 (/.f64 (pow.f64 (sqrt.f64 -3) 5) rand)) (.f64 3/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 a (+.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 1 (.f64 -1/2 (/.f64 rand (sqrt.f64 -3))))) (+.f64 -1/3 (/.f64 (.f64 -1/3 rand) (sqrt.f64 -3)))))
(+.f64 (fma.f64 (/.f64 rand (sqrt.f64 -3)) -1/3 -1/3) (fma.f64 a (.f64 a (fma.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) -81/8 (/.f64 (.f64 rand 3/2) (sqrt.f64 -3)))) (fma.f64 a (*.f64 1/2 (/.f64 rand (sqrt.f64 -3))) a)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (+.f64 (.f64 -81/4 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (.f64 -81/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))))) (.f64 -9/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 a 2)) (+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 3/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3))) (/.f64 rand (sqrt.f64 -3))))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1 (+.f64 (.f64 -81/4 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (.f64 -81/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))))) (.f64 1/3 (+.f64 (.f64 729/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 7))) (.f64 -9/2 (/.f64 (+.f64 (.f64 -81/4 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (.f64 -81/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 (sqrt.f64 -3) 2))))))) (*.f64 -1/3 (+.f64 1 (/.f64 rand (sqrt.f64 -3)))))))
(fma.f64 (fma.f64 1/3 (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) -243/8) (.f64 -9/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3)))) (.f64 a a) (fma.f64 a (+.f64 1 (fma.f64 3/2 (/.f64 rand (pow.f64 (sqrt.f64 -3) 3)) (/.f64 rand (sqrt.f64 -3)))) (fma.f64 (pow.f64 a 3) (fma.f64 -1 (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) -243/8) (.f64 (fma.f64 729/8 (/.f64 rand (pow.f64 (sqrt.f64 -3) 7)) (.f64 -9/2 (/.f64 (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) -243/8) (pow.f64 (sqrt.f64 -3) 2)))) 1/3)) (+.f64 -1/3 (.f64 (/.f64 rand (sqrt.f64 -3)) -1/3)))))
(fma.f64 (.f64 a a) (+.f64 (/.f64 -81/8 (/.f64 (pow.f64 (sqrt.f64 -3) 5) rand)) (.f64 3/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 a (+.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 1 (.f64 -1/2 (/.f64 rand (sqrt.f64 -3))))) (fma.f64 (pow.f64 a 3) (fma.f64 (fma.f64 -9/2 (/.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) 8/81) (/.f64 (.f64 rand 729/8) (pow.f64 (sqrt.f64 -3) 7))) 1/3 (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) 243/8)) (+.f64 -1/3 (/.f64 (.f64 -1/3 rand) (sqrt.f64 -3))))))
(+.f64 (fma.f64 (pow.f64 a 3) (fma.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) 243/8 (fma.f64 (/.f64 rand (.f64 8/81 (pow.f64 (sqrt.f64 -3) 5))) -3/2 (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 7)) 243/8))) (fma.f64 (/.f64 rand (sqrt.f64 -3)) -1/3 -1/3)) (fma.f64 a (.f64 a (fma.f64 (/.f64 rand (pow.f64 (sqrt.f64 -3) 5)) -81/8 (/.f64 (.f64 rand 3/2) (sqrt.f64 -3)))) (fma.f64 a (*.f64 1/2 (/.f64 rand (sqrt.f64 -3))) 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 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 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 (-.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 (+.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 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 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 (-.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 (+.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 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 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))

eval109.0ms (2.5%)

Compiler: Compiled 4101 to 3288 computations (19.8% saved)

prune523.0ms (12%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	178	4	182
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	181	8	189

Error

Counts

189 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 1 rand))))
	9.6b	(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))
	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) -1)))
	9.3b	(/.f64 (.f64 (-.f64 1 (/.f64 (.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
	0.1b	(+.f64 (.f64 a (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)) (.f64 -1/3 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)))
	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.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))))))))
▶	0.1b	(+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) (+.f64 a -1/3))

Compiler

Compiled 323 to 260 computations (19.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 a 9 -3)
	0.1b	(sqrt.f64 (fma.f64 a 9 -3))
	0.2b	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
✓	8.4b	(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))

series5.0ms (0.1%)

Counts

1 → 16

Calls

6 calls:

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

rewrite53.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

285×	`prod-diff_binary64`
209×	`expm1-udef_binary64`
209×	`log1p-udef_binary64`
168×	`log-pow_binary64`
148×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	246	16
2	3228	16

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Outputs

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

simplify27.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

426×	`associate-/l*_binary64`
375×	`times-frac_binary64`
279×	`fma-def_binary64`
267×	`distribute-lft-in_binary64`
267×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	460
1	153	453
2	510	449
3	2214	384

Stop Event

1×	node limit

Counts

92 → 86

Calls

Call 1

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

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

eval92.0ms (2.1%)

Compiler: Compiled 4453 to 3370 computations (24.3% saved)

prune665.0ms (15.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	184	5	189
Fresh	5	1	6
Picked	1	0	1
Done	1	0	1
Total	191	6	197

Error

Counts

197 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(+.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) (+.f64 a -1/3))
	0.2b	(+.f64 (fma.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 a)) (sqrt.f64 a) (/.f64 (.f64 -1/3 rand) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) -1)))
	0.1b	(+.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (+.f64 a -1/3)) (+.f64 a -1/3))
	0.1b	(+.f64 (.f64 (.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) (+.f64 a -1/3)) (+.f64 a -1/3))
▶	0.1b	(+.f64 (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (*.f64 -1/3 rand) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))

Compiler

Compiled 276 to 214 computations (22.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
✓	0.3b	(*.f64 -1/3 rand)
✓	0.3b	(/.f64 (*.f64 -1/3 rand) (sqrt.f64 (fma.f64 a 9 -3)))
✓	8.4b	(fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (*.f64 -1/3 rand) (sqrt.f64 (fma.f64 a 9 -3))))

series16.0ms (0.4%)

Counts

3 → 32

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(/.f64 (*.f64 -1/3 rand) (sqrt.f64 (fma.f64 a 9 -3)))
3.0ms	rand	@	-inf	(*.f64 -1/3 rand)
1.0ms	a	@	-inf	(fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (*.f64 -1/3 rand) (sqrt.f64 (fma.f64 a 9 -3))))
1.0ms	rand	@	-inf	(fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (*.f64 -1/3 rand) (sqrt.f64 (fma.f64 a 9 -3))))
1.0ms	a	@	0	(fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (*.f64 -1/3 rand) (sqrt.f64 (fma.f64 a 9 -3))))

rewrite56.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

343×	`prod-diff_binary64`
215×	`expm1-udef_binary64`
215×	`log1p-udef_binary64`
179×	`log-pow_binary64`
122×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	254	43
2	3113	43

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

Outputs

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

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

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

simplify44.0ms (1%)

Algorithm

1×	egg-herbie

Rules

913×	`times-frac_binary64`
421×	`fma-def_binary64`
291×	`associate-r_binary64`
284×	`associate-l_binary64`
142×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	825
1	226	811
2	790	800
3	3483	800

Stop Event

1×	node limit

Counts

112 → 98

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 (+.f64 (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3)))) (pow.f64 a 2)) (+.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 (+.f64 (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3)))) (pow.f64 a 2)) (+.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 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))
(.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))
(.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))
(.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3))))
(+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.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 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/6 (/.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 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.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 -1/3 (*.f64 rand (sqrt.f64 -1/3))))))

Outputs
(.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))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 1/6 rand) (sqrt.f64 -1/3))) (.f64 -1/3 (*.f64 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 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3)))) (.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/3 a)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3)))) (pow.f64 a 2)) (+.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 (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (.f64 a a) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 1/6 rand) (sqrt.f64 -1/3))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (/.f64 (.f64 rand -1/2) (sqrt.f64 -1/3))) (.f64 a a) (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 -1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 a (+.f64 (.f64 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 -1/2 (sqrt.f64 -1/3)) rand))) (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.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 (+.f64 (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3)))) (pow.f64 a 2)) (+.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 (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (.f64 a a) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 1/6 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 (/.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 (.f64 -1/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (/.f64 (sqrt.f64 -1/3) rand))) (fma.f64 (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (/.f64 (.f64 rand -1/2) (sqrt.f64 -1/3))) (.f64 a a) (fma.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 a (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 9 (.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) (.f64 -1/2 (.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))))) (fma.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 a (+.f64 (.f64 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 -1/2 (sqrt.f64 -1/3)) rand))) (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))))))
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 (+.f64 -1/3 a) rand))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 (+.f64 -1/3 a) rand))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 (+.f64 -1/3 a) rand))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 (+.f64 -1/3 a) rand))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 (+.f64 -1/3 a) rand))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 (+.f64 -1/3 a) rand))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 (+.f64 -1/3 a) rand))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 (+.f64 -1/3 a) rand))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 (+.f64 -1/3 a) rand))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 (+.f64 -1/3 a) rand))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 (+.f64 -1/3 a) rand))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 (+.f64 -1/3 a) rand))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 (.f64 -1/3 rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 -1/3 rand))
(.f64 rand (.f64 -1/3 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 (.f64 -1/3 rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 -1/3 rand))
(.f64 rand (.f64 -1/3 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 (.f64 -1/3 rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 -1/3 rand))
(.f64 rand (.f64 -1/3 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 (.f64 -1/3 rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 -1/3 rand))
(.f64 rand (.f64 -1/3 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 (.f64 -1/3 rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 -1/3 rand))
(.f64 rand (.f64 -1/3 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 (.f64 -1/3 rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 -1/3 rand))
(.f64 rand (.f64 -1/3 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 (.f64 -1/3 rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 -1/3 rand))
(.f64 rand (.f64 -1/3 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 (.f64 -1/3 rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 -1/3 rand))
(.f64 rand (.f64 -1/3 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 (.f64 -1/3 rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 -1/3 rand))
(.f64 rand (.f64 -1/3 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 (.f64 -1/3 rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 -1/3 rand))
(.f64 rand (.f64 -1/3 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 (.f64 -1/3 rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 -1/3 rand))
(.f64 rand (.f64 -1/3 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(.f64 (.f64 -1/3 rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 -1/3 rand))
(.f64 rand (.f64 -1/3 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3))))
(fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 a (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.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 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (.f64 rand (.f64 a a)))) (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 -1/3 (.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) (.f64 rand (.f64 a a)))))))
(fma.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (.f64 (.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 a a)))))
(+.f64 (.f64 1/6 (/.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 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.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 -1/3 (*.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 1/6 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) (.f64 rand (+.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)))))) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (.f64 rand (.f64 a a)))) (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 1/6 (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) (.f64 rand (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9))) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 -1/3 (.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) (.f64 rand (.f64 a a))))))))
(fma.f64 1/6 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (.f64 (.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (.f64 a a))) (fma.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 (/.f64 (.f64 1/6 (pow.f64 a 3)) (/.f64 (sqrt.f64 -1/3) rand)) (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))))

eval87.0ms (2%)

Compiler: Compiled 4206 to 3208 computations (23.7% saved)

prune329.0ms (7.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	140	5	145

Error

Counts

145 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(+.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) (+.f64 a -1/3))
	0.2b	(+.f64 (fma.f64 (.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 a)) (sqrt.f64 a) (/.f64 (.f64 -1/3 rand) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) -1)))
	0.1b	(+.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (+.f64 a -1/3)) (+.f64 a -1/3))
	0.1b	(+.f64 (fma.f64 a (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (/.f64 (.f64 -1/3 rand) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))

Compiler

Compiled 121 to 94 computations (22.3% saved)

regimes55.0ms (1.3%)

Accuracy

Total -17.0b remaining (-20220.7%)

Threshold costs -17.0b (-20220.7%)

Counts

19 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
9.0ms	0.1b	1	`a`
14.0ms	0.1b	1	`rand`
10.0ms	0.1b	1	`(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))`
9.0ms	0.1b	1	`(-.f64 a (/.f64 1 3))`

Compiler

Compiled 428 to 333 computations (22.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	17	32

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

end22.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 48 to 36 computations (25% saved)

Details

analyze128.0ms (2.9%)

sample1.3s (29.5%)

preprocess42.0ms (1%)

simplify69.0ms (1.6%)

eval1.0ms (0%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

series18.0ms (0.4%)

rewrite66.0ms (1.5%)

simplify45.0ms (1%)

eval84.0ms (1.9%)

prune373.0ms (8.6%)

localize10.0ms (0.2%)

series16.0ms (0.4%)

rewrite64.0ms (1.5%)

simplify35.0ms (0.8%)

eval109.0ms (2.5%)

prune523.0ms (12%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite53.0ms (1.2%)

simplify27.0ms (0.6%)

eval92.0ms (2.1%)

prune665.0ms (15.3%)

localize13.0ms (0.3%)

series16.0ms (0.4%)

rewrite56.0ms (1.3%)

simplify44.0ms (1%)

eval87.0ms (2%)

prune329.0ms (7.6%)

regimes55.0ms (1.3%)

simplify3.0ms (0.1%)

end22.0ms (0.5%)

Profiling