Details

analyze140.0ms (3.7%)

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 (33.7%)

Results

1.2s	8256×	body	128	valid
79.0ms	572×	body	128	invalid

preprocess46.0ms (1.2%)

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 (1.8%)

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)))))

prune4.0ms (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

Status	Error	Program
	0.2b	(.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 109 to 91 computations (16.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series16.0ms (0.4%)

Counts

4 → 50

Calls

18 calls:

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

rewrite78.0ms (2.1%)

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

simplify46.0ms (1.2%)

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)

prune420.0ms (11.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	157	5	162
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	158	6	164

Error

0.0b

Counts

164 → 6

Alt Table

Status	Error	Program
	37.3b	(/.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))))))
▶	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
	9.1b	(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
	1.3b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 3)
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))))

Compiler

Compiled 3657 to 2908 computations (20.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.2%)

Counts

3 → 46

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(pow.f64 (fma.f64 a 9 -3) -1/2)
1.0ms	a	@	-inf	(pow.f64 (fma.f64 a 9 -3) -1/2)
1.0ms	a	@	inf	(pow.f64 (fma.f64 a 9 -3) -1/2)
0.0ms	a	@	-inf	(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
0.0ms	a	@	inf	(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))

rewrite62.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`prod-diff_binary64`
251×	`log1p-udef_binary64`
149×	`add-sqr-sqrt_binary64`
142×	`add-log-exp_binary64`
142×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	308	37
2	3762	37

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

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

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

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

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

simplify37.0ms (1%)

Algorithm

1×	egg-herbie

Rules

612×	`fma-def_binary64`
407×	`associate-r_binary64`
375×	`associate-l_binary64`
240×	`associate-+l+_binary64`
224×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1350
1	385	1259
2	1213	1096

Stop Event

1×	node limit

Counts

120 → 121

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

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

prune234.0ms (6.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	153	6	159

Error

0.0b

Counts

159 → 6

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 a (+.f64 -1/3 (.f64 rand (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))))
	37.3b	(/.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))))))
	9.1b	(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
	1.3b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 3)
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))))

Compiler

Compiled 3936 to 3189 computations (19% saved)

localize23.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 a 9 -3)
	0.2b	(pow.f64 (fma.f64 a 9 -3) -1/2)
✓	0.2b	(.f64 rand (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))
✓	0.3b	(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))

series8.0ms (0.2%)

Counts

2 → 20

Calls

9 calls:

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

rewrite54.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
223×	`expm1-udef_binary64`
223×	`log1p-udef_binary64`
209×	`prod-diff_binary64`
176×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	267	31
2	3244	31

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3) (*.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2)) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2)) 3) (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3) 3)) (fma.f64 (*.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2)) (*.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2)) (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3)) (*.f64 (*.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2)) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2)) (*.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2))) (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3))) (fma.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2) (neg.f64 (*.f64 (pow.f64 (fma.f64 a 9 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simplify36.0ms (1%)

Algorithm

1×	egg-herbie

Rules

425×	`times-frac_binary64`
388×	`fma-def_binary64`
314×	`distribute-rgt-in_binary64`
206×	`associate-l_binary64`
204×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	654
1	219	636
2	699	621
3	3030	614

Stop Event

1×	node limit

Counts

105 → 102

Calls

Call 1

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

prune347.0ms (9.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	173	7	180

Error

Counts

180 → 7

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 a (+.f64 -1/3 (.f64 rand (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))))
	29.3b	(+.f64 a (+.f64 -1/3 (.f64 rand (sqrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) 2) (pow.f64 (fma.f64 a 9 -3) -1))))))
	9.1b	(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
	1.3b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 3)
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
▶	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))))
	2.6b	(+.f64 a (+.f64 -1/3 (.f64 rand (.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3)) (+.f64 a -1/3)))))

Compiler

Compiled 4929 to 3958 computations (19.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.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)))))
✓	0.2b	(/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4))
✓	0.2b	(/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4))
✓	0.3b	(*.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))

series58.0ms (1.5%)

Counts

4 → 70

Calls

21 calls:

Time	Variable		Point	Expression
47.0ms	rand	@	0	(/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4))
1.0ms	a	@	inf	(/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4))
1.0ms	a	@	-inf	(/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4))
1.0ms	a	@	0	(/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4))
1.0ms	a	@	-inf	(/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4))

rewrite84.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

851×	`prod-diff_binary64`
174×	`add-sqr-sqrt_binary64`
167×	`add-log-exp_binary64`
167×	`log1p-expm1-u_binary64`
167×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	70
1	366	48
2	4769	48

Stop Event

1×	node limit

Counts

4 → 157

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(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 (pow.f64 (fma.f64 a 9 -3) 1/4) (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) 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) 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 rand (/.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 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (.f64 rand (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (cbrt.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand))))))) (#(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 (.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/8)) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/8))))))) (#(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 -1 (.f64 (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) rand) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))))))) (#(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 (neg.f64 rand) (.f64 (neg.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 (neg.f64 rand) (.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 rand) 1) (.f64 (neg.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 (.f64 -1 (neg.f64 rand)) (.f64 (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand -1) (.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 rand) -1) (.f64 (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand) (pow.f64 (fma.f64 a 9 -3) 1/8)) (pow.f64 (fma.f64 a 9 -3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand) 1) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/4)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (neg.f64 rand)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand) -1) (neg.f64 (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 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 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 expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 rand (pow.f64 (fma.f64 a 9 -3) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/4)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand)) (cbrt.f64 (.f64 rand (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 rand (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand)))))) (#(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) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) -1/8) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) -1/8) (.f64 (pow.f64 (fma.f64 a 9 -3) -1/8) rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/8)) (.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 rand) (.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 rand) (/.f64 1 (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.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) 1) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (/.f64 rand (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (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) 1/8)) (/.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/8) (sqrt.f64 rand)) (.f64 (pow.f64 (fma.f64 a 9 -3) -1/8) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/8)) (pow.f64 (fma.f64 a 9 -3) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (sqrt.f64 rand)) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) rand) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 rand (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 rand 3) (pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 rand 3) (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) 3) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 -1/4 (log.f64 (fma.f64 a 9 -3))) (log.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) rand)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 a 9 -3) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/4)) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) -1/8) (pow.f64 (fma.f64 a 9 -3) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 -1/4) (pow.f64 (fma.f64 a 9 -3) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 2)) -1/4) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/4) (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) -1) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/8) -1) (pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/8) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -1/4 (log.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a 9 -3)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 a 9 -3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 -1/4 (log.f64 (fma.f64 a 9 -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/4)))))))
((#(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 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (.f64 -1/3 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) a) (.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) -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 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) 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 (+.f64 1 (/.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 (+.f64 1 (/.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 (+.f64 1 (/.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 (+.f64 1 (/.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 (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 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 (fma.f64 a a -1/9) (+.f64 1 (/.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 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (+.f64 a -1/3)) (-.f64 (+.f64 1 (/.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 (+.f64 1 (/.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 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.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 1 (/.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 pow.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 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 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(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 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 (+.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 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))))

simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

858×	`fma-def_binary64`
646×	`associate-l_binary64`
428×	`times-frac_binary64`
305×	`associate-/l*_binary64`
263×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	2069
1	507	1987
2	1652	1736

Stop Event

1×	node limit

Counts

227 → 230

Calls

Call 1

Inputs
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (.f64 rand (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(.f64 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 (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(*.f64 (pow.f64 -1/3 1/4) rand)
(+.f64 (.f64 3/4 (.f64 (pow.f64 -1/3 1/4) (.f64 a rand))) (.f64 (pow.f64 -1/3 1/4) rand))
(+.f64 (.f64 45/32 (.f64 (pow.f64 -1/3 1/4) (.f64 (pow.f64 a 2) rand))) (+.f64 (.f64 3/4 (.f64 (pow.f64 -1/3 1/4) (.f64 a rand))) (*.f64 (pow.f64 -1/3 1/4) rand)))
(+.f64 (.f64 45/32 (.f64 (pow.f64 -1/3 1/4) (.f64 (pow.f64 a 2) rand))) (+.f64 (.f64 3/4 (.f64 (pow.f64 -1/3 1/4) (.f64 a rand))) (+.f64 (.f64 405/128 (.f64 (pow.f64 -1/3 1/4) (.f64 (pow.f64 a 3) rand))) (.f64 (pow.f64 -1/3 1/4) rand))))
(.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a))))))
(+.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) (.f64 1/12 (/.f64 (.f64 rand (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) a)))
(+.f64 (.f64 5/288 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 2))) (+.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) (.f64 1/12 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) a))))
(+.f64 (.f64 5/1152 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 3))) (+.f64 (.f64 5/288 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 2))) (+.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) (.f64 1/12 (/.f64 (.f64 rand (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) a)))))
(.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 1/12 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) a)) (.f64 rand (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))))
(+.f64 (.f64 1/12 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (.f64 5/288 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2)))))
(+.f64 (.f64 1/12 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 5/1152 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (.f64 5/288 (/.f64 (.f64 rand (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))))))
(pow.f64 -1/3 1/4)
(+.f64 (.f64 3/4 (.f64 (pow.f64 -1/3 1/4) a)) (pow.f64 -1/3 1/4))
(+.f64 (.f64 3/4 (.f64 (pow.f64 -1/3 1/4) a)) (+.f64 (.f64 45/32 (.f64 (pow.f64 -1/3 1/4) (pow.f64 a 2))) (pow.f64 -1/3 1/4)))
(+.f64 (.f64 3/4 (.f64 (pow.f64 -1/3 1/4) a)) (+.f64 (.f64 405/128 (.f64 (pow.f64 -1/3 1/4) (pow.f64 a 3))) (+.f64 (.f64 45/32 (.f64 (pow.f64 -1/3 1/4) (pow.f64 a 2))) (pow.f64 -1/3 1/4))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))
(+.f64 (.f64 1/12 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a))))) a)) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a))))))
(+.f64 (.f64 1/12 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a))))) a)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a))))) (.f64 5/288 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a))))) (pow.f64 a 2)))))
(+.f64 (.f64 5/1152 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a))))) (pow.f64 a 3))) (+.f64 (.f64 1/12 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a))))) a)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a))))) (.f64 5/288 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a))))) (pow.f64 a 2))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (.f64 1/12 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) a)))
(+.f64 (.f64 5/288 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (.f64 1/12 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) a))))
(+.f64 (.f64 5/288 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2))) (+.f64 (.f64 5/1152 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 3))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (.f64 1/12 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) a)))))
(.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)

Outputs
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 -1/2 (/.f64 (.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 a (sqrt.f64 -1/3)) rand)))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 -1/2 (.f64 (/.f64 rand (sqrt.f64 -1/3)) 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 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 a (sqrt.f64 -1/3)) rand) (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 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (.f64 (.f64 a (.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (/.f64 (.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 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))))))))
(fma.f64 -1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 -1/2 (.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (.f64 rand (.f64 a a))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 (pow.f64 a 3) -1/2) (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9))))))
(fma.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (.f64 (.f64 a (.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (fma.f64 rand (sqrt.f64 -1/3) (.f64 (/.f64 (.f64 (pow.f64 a 3) -1/2) (/.f64 (sqrt.f64 -1/3) rand)) (+.f64 9 (.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/4))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/4))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/4))
(*.f64 (pow.f64 -1/3 1/4) rand)
(*.f64 rand (pow.f64 -1/3 1/4))
(+.f64 (.f64 3/4 (.f64 (pow.f64 -1/3 1/4) (.f64 a rand))) (.f64 (pow.f64 -1/3 1/4) rand))
(fma.f64 3/4 (.f64 (.f64 rand a) (pow.f64 -1/3 1/4)) (*.f64 rand (pow.f64 -1/3 1/4)))
(fma.f64 rand (pow.f64 -1/3 1/4) (.f64 (pow.f64 -1/3 1/4) (.f64 (*.f64 rand a) 3/4)))
(.f64 (pow.f64 -1/3 1/4) (+.f64 (.f64 3/4 (*.f64 rand a)) rand))
(+.f64 (.f64 45/32 (.f64 (pow.f64 -1/3 1/4) (.f64 (pow.f64 a 2) rand))) (+.f64 (.f64 3/4 (.f64 (pow.f64 -1/3 1/4) (.f64 a rand))) (*.f64 (pow.f64 -1/3 1/4) rand)))
(fma.f64 45/32 (.f64 (.f64 rand (.f64 a a)) (pow.f64 -1/3 1/4)) (fma.f64 3/4 (.f64 (.f64 rand a) (pow.f64 -1/3 1/4)) (.f64 rand (pow.f64 -1/3 1/4))))
(fma.f64 45/32 (.f64 rand (.f64 (.f64 a a) (pow.f64 -1/3 1/4))) (fma.f64 rand (pow.f64 -1/3 1/4) (.f64 (pow.f64 -1/3 1/4) (.f64 (.f64 rand a) 3/4))))
(fma.f64 rand (pow.f64 -1/3 1/4) (.f64 rand (.f64 (pow.f64 -1/3 1/4) (+.f64 (.f64 3/4 a) (.f64 45/32 (*.f64 a a))))))
(+.f64 (.f64 45/32 (.f64 (pow.f64 -1/3 1/4) (.f64 (pow.f64 a 2) rand))) (+.f64 (.f64 3/4 (.f64 (pow.f64 -1/3 1/4) (.f64 a rand))) (+.f64 (.f64 405/128 (.f64 (pow.f64 -1/3 1/4) (.f64 (pow.f64 a 3) rand))) (.f64 (pow.f64 -1/3 1/4) rand))))
(fma.f64 45/32 (.f64 (.f64 rand (.f64 a a)) (pow.f64 -1/3 1/4)) (fma.f64 3/4 (.f64 (.f64 rand a) (pow.f64 -1/3 1/4)) (fma.f64 405/128 (.f64 (pow.f64 -1/3 1/4) (.f64 rand (pow.f64 a 3))) (.f64 rand (pow.f64 -1/3 1/4)))))
(fma.f64 45/32 (.f64 rand (.f64 (.f64 a a) (pow.f64 -1/3 1/4))) (fma.f64 3/4 (.f64 rand (.f64 a (pow.f64 -1/3 1/4))) (fma.f64 405/128 (.f64 (pow.f64 a 3) (.f64 rand (pow.f64 -1/3 1/4))) (.f64 rand (pow.f64 -1/3 1/4)))))
(+.f64 (.f64 (pow.f64 -1/3 1/4) (+.f64 rand (.f64 (pow.f64 a 3) (.f64 rand 405/128)))) (.f64 rand (.f64 (pow.f64 -1/3 1/4) (+.f64 (.f64 3/4 a) (.f64 45/32 (.f64 a a))))))
(.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a))))))
(*.f64 rand (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a)))))
(*.f64 rand (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a))))
(.f64 rand (.f64 (pow.f64 1/9 1/4) (pow.f64 (/.f64 1 a) 1/4)))
(+.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) (.f64 1/12 (/.f64 (.f64 rand (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) a)))
(fma.f64 rand (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a)))) (*.f64 1/12 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a))))))))
(fma.f64 rand (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a))) (/.f64 (.f64 (.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a))) 1/12) rand) a))
(fma.f64 rand (.f64 (pow.f64 1/9 1/4) (pow.f64 (/.f64 1 a) 1/4)) (.f64 1/12 (*.f64 (/.f64 (pow.f64 1/9 1/4) (/.f64 a (pow.f64 (/.f64 1 a) 1/4))) rand)))
(+.f64 (.f64 5/288 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 2))) (+.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) (.f64 1/12 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) a))))
(fma.f64 5/288 (/.f64 rand (/.f64 (.f64 a a) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a)))))) (fma.f64 rand (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a)))) (.f64 1/12 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a)))))))))
(fma.f64 5/288 (.f64 (/.f64 rand (.f64 a a)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a)))) (fma.f64 rand (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a))) (/.f64 (.f64 (.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a))) 1/12) rand) a)))
(fma.f64 rand (.f64 (pow.f64 1/9 1/4) (pow.f64 (/.f64 1 a) 1/4)) (.f64 (*.f64 (/.f64 (pow.f64 1/9 1/4) (/.f64 a (pow.f64 (/.f64 1 a) 1/4))) rand) (+.f64 1/12 (/.f64 5/288 a))))
(+.f64 (.f64 5/1152 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 3))) (+.f64 (.f64 5/288 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 2))) (+.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) (.f64 1/12 (/.f64 (.f64 rand (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))) a)))))
(fma.f64 5/1152 (/.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a)))))) (fma.f64 5/288 (/.f64 rand (/.f64 (.f64 a a) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a)))))) (fma.f64 rand (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a)))) (.f64 1/12 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a))))))))))
(fma.f64 5/1152 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a))) (/.f64 (pow.f64 a 3) rand)) (fma.f64 5/288 (.f64 (/.f64 rand (.f64 a a)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a)))) (fma.f64 rand (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a))) (/.f64 (.f64 (.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a))) 1/12) rand) a))))
(fma.f64 5/1152 (.f64 (/.f64 (.f64 (pow.f64 1/9 1/4) (pow.f64 (/.f64 1 a) 1/4)) (pow.f64 a 3)) rand) (fma.f64 rand (.f64 (pow.f64 1/9 1/4) (pow.f64 (/.f64 1 a) 1/4)) (.f64 (*.f64 (/.f64 (pow.f64 1/9 1/4) (/.f64 a (pow.f64 (/.f64 1 a) 1/4))) rand) (+.f64 1/12 (/.f64 5/288 a)))))
(.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))))
(*.f64 rand (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))
(.f64 (pow.f64 -1/9 1/4) (.f64 (pow.f64 (/.f64 -1 a) 1/4) rand))
(+.f64 (.f64 1/12 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) a)) (.f64 rand (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))))
(fma.f64 1/12 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (*.f64 rand (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))))
(fma.f64 rand (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (.f64 1/12 (.f64 (/.f64 rand a) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))))
(fma.f64 rand (.f64 (pow.f64 -1/9 1/4) (pow.f64 (/.f64 -1 a) 1/4)) (.f64 1/12 (*.f64 (/.f64 (pow.f64 -1/9 1/4) (/.f64 a (pow.f64 (/.f64 -1 a) 1/4))) rand)))
(+.f64 (.f64 1/12 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (.f64 5/288 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2)))))
(fma.f64 1/12 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (fma.f64 rand (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (.f64 5/288 (/.f64 (.f64 rand (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (*.f64 a a)))))
(fma.f64 1/12 (.f64 (/.f64 rand a) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (fma.f64 rand (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (.f64 5/288 (.f64 (/.f64 rand (.f64 a a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))))))
(fma.f64 rand (.f64 (pow.f64 -1/9 1/4) (pow.f64 (/.f64 -1 a) 1/4)) (.f64 (*.f64 (/.f64 (pow.f64 -1/9 1/4) (/.f64 a (pow.f64 (/.f64 -1 a) 1/4))) rand) (+.f64 (/.f64 5/288 a) 1/12)))
(+.f64 (.f64 1/12 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 5/1152 (/.f64 (.f64 rand (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (.f64 5/288 (/.f64 (.f64 rand (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))))))
(fma.f64 1/12 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (fma.f64 rand (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (fma.f64 5/1152 (/.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (.f64 5/288 (/.f64 (.f64 rand (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (*.f64 a a))))))
(fma.f64 1/12 (.f64 (/.f64 rand a) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (fma.f64 rand (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (fma.f64 5/288 (.f64 (/.f64 rand (.f64 a a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (/.f64 (.f64 (*.f64 5/1152 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) rand) (pow.f64 a 3)))))
(fma.f64 rand (.f64 (pow.f64 -1/9 1/4) (pow.f64 (/.f64 -1 a) 1/4)) (fma.f64 1/12 (.f64 (/.f64 (pow.f64 -1/9 1/4) (/.f64 a (pow.f64 (/.f64 -1 a) 1/4))) rand) (.f64 (.f64 (/.f64 (pow.f64 -1/9 1/4) (/.f64 a (pow.f64 (/.f64 -1 a) 1/4))) (/.f64 rand a)) (+.f64 5/288 (/.f64 5/1152 a)))))
(pow.f64 -1/3 1/4)
(+.f64 (.f64 3/4 (.f64 (pow.f64 -1/3 1/4) a)) (pow.f64 -1/3 1/4))
(fma.f64 3/4 (*.f64 a (pow.f64 -1/3 1/4)) (pow.f64 -1/3 1/4))
(.f64 (+.f64 (.f64 3/4 a) 1) (pow.f64 -1/3 1/4))
(+.f64 (.f64 3/4 (.f64 (pow.f64 -1/3 1/4) a)) (+.f64 (.f64 45/32 (.f64 (pow.f64 -1/3 1/4) (pow.f64 a 2))) (pow.f64 -1/3 1/4)))
(fma.f64 3/4 (.f64 a (pow.f64 -1/3 1/4)) (fma.f64 45/32 (.f64 (*.f64 a a) (pow.f64 -1/3 1/4)) (pow.f64 -1/3 1/4)))
(+.f64 (pow.f64 -1/3 1/4) (.f64 (pow.f64 -1/3 1/4) (+.f64 (.f64 3/4 a) (.f64 45/32 (.f64 a a)))))
(+.f64 (.f64 3/4 (.f64 (pow.f64 -1/3 1/4) a)) (+.f64 (.f64 405/128 (.f64 (pow.f64 -1/3 1/4) (pow.f64 a 3))) (+.f64 (.f64 45/32 (.f64 (pow.f64 -1/3 1/4) (pow.f64 a 2))) (pow.f64 -1/3 1/4))))
(fma.f64 3/4 (.f64 a (pow.f64 -1/3 1/4)) (fma.f64 405/128 (.f64 (pow.f64 a 3) (pow.f64 -1/3 1/4)) (fma.f64 45/32 (.f64 (.f64 a a) (pow.f64 -1/3 1/4)) (pow.f64 -1/3 1/4))))
(+.f64 (.f64 (+.f64 (.f64 45/32 (.f64 a a)) 1) (pow.f64 -1/3 1/4)) (.f64 (pow.f64 -1/3 1/4) (+.f64 (.f64 3/4 a) (.f64 405/128 (pow.f64 a 3)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (log.f64 (/.f64 1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a)))
(*.f64 (pow.f64 1/9 1/4) (pow.f64 (/.f64 1 a) 1/4))
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(fma.f64 1/12 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a)))) a) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a)))))
(fma.f64 1/12 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a))) a) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a))))
(fma.f64 1/12 (/.f64 (pow.f64 1/9 1/4) (/.f64 a (pow.f64 (/.f64 1 a) 1/4))) (*.f64 (pow.f64 1/9 1/4) (pow.f64 (/.f64 1 a) 1/4)))
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(fma.f64 1/12 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a)))) a) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a)))) (.f64 5/288 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 a)))) (.f64 a a)))))
(fma.f64 1/12 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a))) a) (fma.f64 5/288 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a))) (*.f64 a a)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 a)))))
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(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))
(*.f64 (pow.f64 -1/9 1/4) (pow.f64 (/.f64 -1 a) 1/4))
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(fma.f64 (pow.f64 -1/9 1/4) (pow.f64 (/.f64 -1 a) 1/4) (*.f64 1/12 (/.f64 (pow.f64 -1/9 1/4) (/.f64 a (pow.f64 (/.f64 -1 a) 1/4)))))
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(fma.f64 5/288 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (.f64 a a)) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (.f64 1/12 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) a))))
(fma.f64 5/288 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (*.f64 a a)) (fma.f64 1/12 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) a) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))))
(fma.f64 (pow.f64 -1/9 1/4) (pow.f64 (/.f64 -1 a) 1/4) (*.f64 (/.f64 (pow.f64 -1/9 1/4) (/.f64 a (pow.f64 (/.f64 -1 a) 1/4))) (+.f64 1/12 (/.f64 5/288 a))))
(+.f64 (.f64 5/288 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2))) (+.f64 (.f64 5/1152 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 3))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (.f64 1/12 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) a)))))
(fma.f64 5/288 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (.f64 a a)) (fma.f64 5/1152 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (pow.f64 a 3)) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (.f64 1/12 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) a)))))
(fma.f64 5/288 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (*.f64 a a)) (fma.f64 5/1152 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (pow.f64 a 3)) (fma.f64 1/12 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) a) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))))
(fma.f64 5/1152 (/.f64 (.f64 (pow.f64 -1/9 1/4) (pow.f64 (/.f64 -1 a) 1/4)) (pow.f64 a 3)) (fma.f64 (pow.f64 -1/9 1/4) (pow.f64 (/.f64 -1 a) 1/4) (.f64 (/.f64 (pow.f64 -1/9 1/4) (/.f64 a (pow.f64 (/.f64 -1 a) 1/4))) (+.f64 1/12 (/.f64 5/288 a)))))
(.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 1 (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(fma.f64 a (+.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 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(+.f64 (.f64 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 1 (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (fma.f64 (.f64 a a) (fma.f64 1/6 (/.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 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (fma.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (/.f64 (.f64 (.f64 rand 1/6) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (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) (.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (.f64 (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (/.f64 (sqrt.f64 -1/3) rand) 1/6))) a))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (.f64 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 (.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 a (+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (fma.f64 (.f64 a a) (fma.f64 1/6 (/.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 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (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 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (fma.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (/.f64 (.f64 (.f64 rand 1/6) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (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 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (.f64 (.f64 1/6 (/.f64 rand (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 (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (/.f64 (sqrt.f64 -1/3) rand) 1/6))) a)))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(.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 -1/3 a) (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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(.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 -1/3 a) (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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))

prune386.0ms (10.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	229	1	230
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	230	7	237

Error

Counts

237 → 7

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 a (+.f64 -1/3 (.f64 rand (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))))
	29.3b	(+.f64 a (+.f64 -1/3 (.f64 rand (sqrt.f64 (.f64 (pow.f64 (+.f64 a -1/3) 2) (pow.f64 (fma.f64 a 9 -3) -1))))))
	9.1b	(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))))
	32.8b	(/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (+.f64 a 1/3))
	2.6b	(+.f64 a (+.f64 -1/3 (.f64 rand (.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3)) (+.f64 a -1/3)))))

Compiler

Compiled 6703 to 5463 computations (18.5% saved)

regimes143.0ms (3.8%)

Accuracy

Total -34.8b remaining (-29260.5%)

Threshold costs -34.8b (-29260.5%)

Counts

57 → 1

Compiler

Compiled 993 to 769 computations (22.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	19	23

Stop Event

1×

saturated

Calls

Call 1

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

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

end107.0ms (2.8%)

Stop Event

1×

fuel

Compiler

Compiled 162 to 126 computations (22.2% saved)

Details

analyze140.0ms (3.7%)

sample1.3s (33.7%)

preprocess46.0ms (1.2%)

simplify69.0ms (1.8%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

series16.0ms (0.4%)

rewrite78.0ms (2.1%)

simplify46.0ms (1.2%)

prune420.0ms (11.1%)

localize13.0ms (0.3%)

series8.0ms (0.2%)

rewrite62.0ms (1.7%)

simplify37.0ms (1%)

prune234.0ms (6.2%)

localize23.0ms (0.6%)

series8.0ms (0.2%)

rewrite54.0ms (1.4%)

simplify36.0ms (1%)

prune347.0ms (9.2%)

localize14.0ms (0.4%)

series58.0ms (1.5%)

rewrite84.0ms (2.2%)

simplify59.0ms (1.6%)

prune386.0ms (10.2%)

regimes143.0ms (3.8%)

simplify2.0ms (0%)

end107.0ms (2.8%)

Profiling