Details

analyze131.0ms (4.6%)

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 (46.1%)

Results

1.2s	8256×	body	128	valid
132.0ms	628×	body	128	invalid

Compiler

Compiled 46 to 40 computations (13% saved)

preprocess40.0ms (1.4%)

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)

simplify68.0ms (2.4%)

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

Compiler

Compiled 109 to 91 computations (16.5% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series18.0ms (0.6%)

Counts

4 → 50

Calls

18 calls:

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

rewrite65.0ms (2.3%)

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

simplify31.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

374×	`fma-def_binary64`
353×	`associate-+l+_binary64`
283×	`associate-/l*_binary64`
276×	`times-frac_binary64`
230×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1065
1	321	1019
2	1140	867

Stop Event

1×	node limit

Counts

177 → 163

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 (sqrt.f64 -1/3) rand)
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 9/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(-.f64 (+.f64 (.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)) (.f64 81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))))
(-.f64 (+.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 81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))))
(.f64 -1/3 (+.f64 1 (.f64 (sqrt.f64 -1/3) rand)))
(-.f64 (+.f64 a (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand)))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(-.f64 (+.f64 a (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand))))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(-.f64 (+.f64 a (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand))))))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 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 (sqrt.f64 -1/3) rand)
(*.f64 rand (sqrt.f64 -1/3))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3))))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) -1/2))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 3/2 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/8 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (.f64 1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 3/2 (.f64 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) rand) (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 -3/8 (.f64 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) rand)))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 (.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) a) 9/8)))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 9/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 3/2 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/2 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (fma.f64 3/4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 9/2 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) rand)))))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (fma.f64 3/2 (.f64 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) rand) (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 -3/8 (.f64 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) rand)))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (fma.f64 9/2 (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) rand) (.f64 -9/4 (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) rand))))))
(-.f64 (-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 (.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) a) 9/8))) (fma.f64 1/16 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 3)) 9/4)))
(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 (.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)) (.f64 81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))))
(+.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (.f64 -81/8 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 3))))
(-.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (.f64 -27/8 (/.f64 (.f64 a a) (sqrt.f64 -3))))
(+.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (.f64 27/8 (/.f64 (.f64 a a) (sqrt.f64 -3))))
(-.f64 (+.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 81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))))
(+.f64 (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 -81/8 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 3))))
(-.f64 (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 -27/8 (/.f64 (.f64 a a) (sqrt.f64 -3))))
(+.f64 (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)) (.f64 27/8 (/.f64 (.f64 a a) (sqrt.f64 -3)))))
(.f64 -1/3 (+.f64 1 (.f64 (sqrt.f64 -1/3) rand)))
(+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3))))
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))
(-.f64 (+.f64 a (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand)))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(-.f64 (+.f64 a (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (.f64 (sqrt.f64 -1/3) (.f64 rand a)))) (+.f64 1/3 (.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/3)))
(+.f64 a (-.f64 (fma.f64 (sqrt.f64 -1/3) (.f64 rand a) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (.f64 rand a)))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) 1/3)))
(+.f64 a (fma.f64 rand (.f64 a (sqrt.f64 -1/3)) (fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(-.f64 (+.f64 a (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand))))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(+.f64 a (-.f64 (fma.f64 1/24 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (.f64 (sqrt.f64 -1/3) (.f64 rand a)))) (+.f64 1/3 (.f64 (.f64 rand (sqrt.f64 -1/3)) 1/3))))
(+.f64 (+.f64 (fma.f64 (sqrt.f64 -1/3) (.f64 rand a) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (.f64 rand a)))) (.f64 -1/8 (.f64 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) rand))) (-.f64 a (.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) 1/3)))
(+.f64 (fma.f64 rand (.f64 a (sqrt.f64 -1/3)) (fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 a)) (fma.f64 -1/8 (.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) a) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(-.f64 (+.f64 a (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand))))))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(+.f64 a (-.f64 (fma.f64 1/24 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (.f64 (sqrt.f64 -1/3) (.f64 rand a)))))) (+.f64 1/3 (.f64 (.f64 rand (sqrt.f64 -1/3)) 1/3))))
(+.f64 a (+.f64 (fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 (fma.f64 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) 1/48 (fma.f64 (sqrt.f64 -1/3) (.f64 rand a) (.f64 -3/8 (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) rand))))) (-.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) rand)) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) 1/3))))
(+.f64 a (fma.f64 -1/8 (.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) a) (+.f64 (fma.f64 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) 1/48 (.f64 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 3)) -3/8)) (fma.f64 rand (.f64 a (sqrt.f64 -1/3)) (fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 (*.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 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 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 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 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 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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))
-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)

prune162.0ms (5.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	158	5	163
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	159	6	165

Error

0.0b

Counts

165 → 6

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
	7.7b	(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 2)
	9.1b	(/.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)))))
	10.3b	(+.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
	10.3b	(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))

Compiler

Compiled 3599 to 2813 computations (21.8% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 a 9 -3)
✓	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
✓	0.1b	(pow.f64 (fma.f64 a 9 -3) -1/2)
✓	0.2b	(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))

series8.0ms (0.3%)

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))

rewrite59.0ms (2.1%)

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 expm1.f64 (log1p.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 log1p.f64 (expm1.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 expm1.f64 (log1p.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 log1p.f64 (expm1.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 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))))))) (#(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 log1p.f64 (expm1.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 expm1.f64 (log1p.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 log1p.f64 (expm1.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 expm1.f64 (log1p.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 log1p.f64 (expm1.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 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))))))) (#(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 log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))))))))

simplify38.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

536×	`fma-def_binary64`
396×	`associate-+l+_binary64`
283×	`times-frac_binary64`
274×	`associate-/l*_binary64`
234×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1410
1	400	1342
2	1339	1122

Stop Event

1×	node limit

Counts

120 → 122

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 (sqrt.f64 -1/3) rand)
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 9/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
(sqrt.f64 -1/3)
(+.f64 (sqrt.f64 -1/3) (.f64 3/2 (.f64 (sqrt.f64 -1/3) a)))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 27/8 (.f64 (sqrt.f64 -1/3) (pow.f64 a 2))) (.f64 3/2 (.f64 (sqrt.f64 -1/3) a))))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 27/8 (.f64 (sqrt.f64 -1/3) (pow.f64 a 2))) (+.f64 (.f64 135/16 (.f64 (sqrt.f64 -1/3) (pow.f64 a 3))) (.f64 3/2 (.f64 (sqrt.f64 -1/3) a)))))
(exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))
(+.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) a)))
(+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 2))) (+.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) a))))
(+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 3))) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 2))) (+.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) a)))))
(exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) a)) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) a)) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2))) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))
(+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 3))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) a)) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2))) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))
(.f64 -1/3 (+.f64 1 (.f64 (sqrt.f64 -1/3) rand)))
(-.f64 (+.f64 a (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand)))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(-.f64 (+.f64 a (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand))))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(-.f64 (+.f64 a (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand))))))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 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 (sqrt.f64 -1/3) rand)
(*.f64 rand (sqrt.f64 -1/3))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3))))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) -1/2))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) -1/2))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 3/2 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/8 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (.f64 1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 3/2 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/2 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) (.f64 -3/8 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (.f64 (.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a) a) 9/8)))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 9/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 3/2 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/2 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (fma.f64 3/4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 9/2 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) rand)))))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (fma.f64 3/2 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/2 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) (.f64 -3/8 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand))))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (fma.f64 9/2 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (pow.f64 a 3))) (.f64 -9/4 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (pow.f64 a 3))))))))
(-.f64 (-.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 (.f64 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) a) 9/8)) (fma.f64 1/2 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (fma.f64 1/16 (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)) (.f64 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 3)) 9/4))))
(sqrt.f64 -1/3)
(+.f64 (sqrt.f64 -1/3) (.f64 3/2 (.f64 (sqrt.f64 -1/3) a)))
(+.f64 (sqrt.f64 -1/3) (.f64 3/2 (.f64 a (sqrt.f64 -1/3))))
(fma.f64 3/2 (*.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(fma.f64 (*.f64 3/2 a) (sqrt.f64 -1/3) (sqrt.f64 -1/3))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 27/8 (.f64 (sqrt.f64 -1/3) (pow.f64 a 2))) (.f64 3/2 (.f64 (sqrt.f64 -1/3) a))))
(+.f64 (sqrt.f64 -1/3) (fma.f64 27/8 (.f64 (sqrt.f64 -1/3) (.f64 a a)) (.f64 3/2 (.f64 a (sqrt.f64 -1/3)))))
(+.f64 (sqrt.f64 -1/3) (fma.f64 27/8 (.f64 a (.f64 a (sqrt.f64 -1/3))) (.f64 a (.f64 (sqrt.f64 -1/3) 3/2))))
(+.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 -1/3) (+.f64 (.f64 3/2 a) (.f64 27/8 (.f64 a a)))))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 27/8 (.f64 (sqrt.f64 -1/3) (pow.f64 a 2))) (+.f64 (.f64 135/16 (.f64 (sqrt.f64 -1/3) (pow.f64 a 3))) (.f64 3/2 (.f64 (sqrt.f64 -1/3) a)))))
(+.f64 (sqrt.f64 -1/3) (fma.f64 27/8 (.f64 (sqrt.f64 -1/3) (.f64 a a)) (fma.f64 135/16 (.f64 (sqrt.f64 -1/3) (pow.f64 a 3)) (.f64 3/2 (*.f64 a (sqrt.f64 -1/3))))))
(+.f64 (fma.f64 27/8 (.f64 a (.f64 a (sqrt.f64 -1/3))) (.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1/3) 135/16))) (fma.f64 3/2 (*.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (sqrt.f64 -1/3) (fma.f64 a (.f64 (sqrt.f64 -1/3) 3/2) (.f64 (sqrt.f64 -1/3) (+.f64 (.f64 27/8 (.f64 a a)) (*.f64 135/16 (pow.f64 a 3))))))
(exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))
(+.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) a)))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) a)))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))))
(+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 2))) (+.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (.f64 1/6 (/.f64 (exp.f64 (*.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) (neg.f64 (log.f64 a)))) (.f64 a a)) (+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) (.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) a))))
(fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) (*.f64 a a)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) a) (+.f64 1/6 (/.f64 1/24 a))))
(+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 3))) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 2))) (+.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (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 a)))) (pow.f64 a 3)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) (.f64 a a)) (+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) (.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) a)))))
(fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) (pow.f64 a 3)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) (*.f64 a a)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))) (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) (.f64 a a)) (+.f64 1/24 (/.f64 5/432 a))))
(exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) a)) (exp.f64 (*.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) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) a)) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2))) (exp.f64 (*.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)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (+.f64 1/6 (/.f64 1/24 a))))
(+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 3))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) a)) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2))) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))
(fma.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 (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)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))
(+.f64 (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (+.f64 1/6 (/.f64 1/24 a)))) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))
(.f64 -1/3 (+.f64 1 (.f64 (sqrt.f64 -1/3) rand)))
(+.f64 -1/3 (.f64 (.f64 rand (sqrt.f64 -1/3)) -1/3))
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))
(-.f64 (+.f64 a (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand)))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(-.f64 (+.f64 a (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (.f64 (sqrt.f64 -1/3) (.f64 rand a)))) (+.f64 1/3 (.f64 (*.f64 1/3 (sqrt.f64 -1/3)) rand)))
(+.f64 a (-.f64 (fma.f64 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) 1/6 (.f64 (sqrt.f64 -1/3) (.f64 rand a))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) 1/3)))
(+.f64 a (fma.f64 rand (.f64 a (sqrt.f64 -1/3)) (fma.f64 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) 1/6 (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(-.f64 (+.f64 a (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand))))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(+.f64 a (-.f64 (fma.f64 1/24 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (.f64 (sqrt.f64 -1/3) (.f64 rand a)))) (+.f64 1/3 (.f64 (.f64 1/3 (sqrt.f64 -1/3)) rand))))
(+.f64 a (+.f64 (fma.f64 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) 1/6 (.f64 (sqrt.f64 -1/3) (.f64 rand a))) (-.f64 (.f64 -1/8 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) 1/3))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) a) (fma.f64 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) 1/6 (.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) a))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(-.f64 (+.f64 a (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand))))))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(+.f64 a (-.f64 (fma.f64 1/24 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (.f64 (sqrt.f64 -1/3) (.f64 rand a)))))) (+.f64 1/3 (.f64 (.f64 1/3 (sqrt.f64 -1/3)) rand))))
(+.f64 a (+.f64 (fma.f64 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) 1/6 (fma.f64 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) 1/48 (fma.f64 (sqrt.f64 -1/3) (.f64 rand a) (.f64 -3/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (pow.f64 a 3))))))) (-.f64 (.f64 -1/8 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand))) (.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) 1/3))))
(+.f64 a (+.f64 (fma.f64 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) 1/6 (fma.f64 rand (.f64 a (sqrt.f64 -1/3)) (fma.f64 (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)) 1/48 (.f64 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 3)) -3/8)))) (fma.f64 -1/8 (.f64 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) a) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) -1/3))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 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 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) -1/3))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 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 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand a) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) -1/3))

prune155.0ms (5.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	156	4	160

Error

Counts

160 → 4

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
▶	0.1b	(+.f64 a (+.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) -1/3))
	10.3b	(+.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))

Compiler

Compiled 3739 to 2982 computations (20.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.4%)

Counts

4 → 36

Calls

15 calls:

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

rewrite60.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

227×	`expm1-udef_binary64`
227×	`log1p-udef_binary64`
209×	`prod-diff_binary64`
185×	`log-pow_binary64`
156×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	280	45
2	3419	45

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

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

simplify31.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

571×	`fma-def_binary64`
457×	`times-frac_binary64`
360×	`associate-+l+_binary64`
317×	`associate-/l*_binary64`
179×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	861
1	380	818
2	1290	769

Stop Event

1×	node limit

Counts

176 → 179

Calls

Call 1

Inputs
-1/3
(neg.f64 (+.f64 1/3 a))
(neg.f64 (+.f64 (*.f64 3 (pow.f64 a 2)) (+.f64 1/3 a)))
(neg.f64 (+.f64 (.f64 3 (pow.f64 a 2)) (+.f64 (.f64 9 (pow.f64 a 3)) (+.f64 1/3 a))))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(.f64 (-.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (-.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (-.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (-.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand))) (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand)))) (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand)))))) (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)))
(*.f64 -1/3 (sqrt.f64 -1/3))
(-.f64 (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) a)) (*.f64 1/3 (sqrt.f64 -1/3)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (sqrt.f64 -1/3) a))) (.f64 1/3 (sqrt.f64 -1/3)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 (sqrt.f64 -1/3) a) (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))))))) (.f64 1/3 (sqrt.f64 -1/3)))
(sqrt.f64 -1/3)
(-.f64 (sqrt.f64 -1/3) (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))))
(-.f64 (sqrt.f64 -1/3) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/3))) (*.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))))))
(-.f64 (sqrt.f64 -1/3) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/3))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))))))))

Outputs
-1/3
(neg.f64 (+.f64 1/3 a))
(+.f64 -1/3 (neg.f64 a))
(-.f64 -1/3 a)
(neg.f64 (+.f64 (*.f64 3 (pow.f64 a 2)) (+.f64 1/3 a)))
(neg.f64 (fma.f64 3 (*.f64 a a) (+.f64 1/3 a)))
(+.f64 (.f64 (.f64 a a) -3) (-.f64 -1/3 a))
(-.f64 -1/3 (fma.f64 a (*.f64 a 3) a))
(neg.f64 (+.f64 (.f64 3 (pow.f64 a 2)) (+.f64 (.f64 9 (pow.f64 a 3)) (+.f64 1/3 a))))
(neg.f64 (fma.f64 3 (*.f64 a a) (fma.f64 9 (pow.f64 a 3) (+.f64 1/3 a))))
(-.f64 (.f64 (.f64 a a) -3) (fma.f64 9 (pow.f64 a 3) (+.f64 1/3 a)))
(-.f64 (fma.f64 (*.f64 a a) -3 -1/3) (fma.f64 9 (pow.f64 a 3) a))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (/.f64 (/.f64 1/27 a) a) (/.f64 1/9 a))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/81 (pow.f64 a 3)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (/.f64 (/.f64 1/27 a) a) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(+.f64 (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/243 (pow.f64 a 4)))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 (/.f64 1/27 a) a) (+.f64 (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/243 (pow.f64 a 4))))
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (/.f64 (/.f64 1/27 a) a) (/.f64 1/9 a))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/81 (pow.f64 a 3)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (/.f64 (/.f64 1/27 a) a) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(+.f64 (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/243 (pow.f64 a 4)))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 (/.f64 1/27 a) a) (+.f64 (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/243 (pow.f64 a 4))))
(.f64 (-.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (-.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (-.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (-.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 -1/3 a)))
(.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand))
(.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand))) (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)))
(+.f64 (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (.f64 (sqrt.f64 -1/3) (.f64 a rand))) (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3))))
(fma.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)) (.f64 rand (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a))))
(fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/3 a)))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand)))) (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)))
(+.f64 (fma.f64 1/24 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (.f64 (sqrt.f64 -1/3) (.f64 a rand)))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 a (.f64 a rand)) (sqrt.f64 -1/3))) (fma.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)) (.f64 rand (.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a)))))
(fma.f64 -1/8 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/3 a))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand)))))) (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)))
(+.f64 (fma.f64 1/24 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (.f64 (sqrt.f64 -1/3) (.f64 a rand)))))) (.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (fma.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)) (fma.f64 1/48 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (fma.f64 (sqrt.f64 -1/3) (.f64 a rand) (.f64 -3/8 (/.f64 (.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))) (-.f64 (.f64 -1/8 (/.f64 (.f64 a (.f64 a rand)) (sqrt.f64 -1/3))) (.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (fma.f64 1/48 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (.f64 (/.f64 (.f64 -3/8 (pow.f64 a 3)) (sqrt.f64 -1/3)) rand)) (fma.f64 -1/8 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/3 a)))))
(*.f64 -1/3 (sqrt.f64 -1/3))
(-.f64 (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) a)) (*.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (.f64 a (sqrt.f64 -1/3))) (.f64 -1/3 (sqrt.f64 -1/3)))
(fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a)))
(fma.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (sqrt.f64 -1/3) a))) (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/24 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (.f64 a (sqrt.f64 -1/3)))) (*.f64 -1/3 (sqrt.f64 -1/3)))
(+.f64 (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (.f64 -1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)))) (.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a)))
(fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 -1/8 (.f64 (/.f64 a (sqrt.f64 -1/3)) a) (.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 (sqrt.f64 -1/3) a) (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))))))) (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/24 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 (sqrt.f64 -1/3) a (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))))))) (*.f64 -1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (.f64 a (sqrt.f64 -1/3)))) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (.f64 -1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a))))))
(fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (+.f64 (fma.f64 -3/8 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))) (fma.f64 -1/8 (.f64 (/.f64 a (sqrt.f64 -1/3)) a) (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a)))))
(sqrt.f64 -1/3)
(-.f64 (sqrt.f64 -1/3) (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 -1/3) (/.f64 (*.f64 -1/2 a) (sqrt.f64 -1/3)))
(fma.f64 (/.f64 a (sqrt.f64 -1/3)) -1/2 (sqrt.f64 -1/3))
(-.f64 (sqrt.f64 -1/3) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/3))) (*.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))))))
(-.f64 (sqrt.f64 -1/3) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/2 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) (.f64 1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3))))))
(-.f64 (sqrt.f64 -1/3) (fma.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2 (fma.f64 3/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (*.f64 -3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a))))))
(-.f64 (sqrt.f64 -1/3) (fma.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2 (.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) a) 9/8)))
(-.f64 (sqrt.f64 -1/3) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/3))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))))))))
(-.f64 (sqrt.f64 -1/3) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 9/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/2 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) (fma.f64 3/4 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) 1/16)))))))
(-.f64 (sqrt.f64 -1/3) (fma.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2 (+.f64 (fma.f64 3/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) 1/16 (.f64 -9/4 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3))))) (fma.f64 9/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) (.f64 -3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)))))))
(-.f64 (sqrt.f64 -1/3) (fma.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2 (+.f64 (fma.f64 9/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) (.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) a) 9/8)) (fma.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) 1/16 (/.f64 (*.f64 -9/4 (pow.f64 a 3)) (sqrt.f64 -1/3))))))

prune170.0ms (5.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	179	4	183

Error

Counts

183 → 4

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
✓	0.1b	(+.f64 a (+.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) -1/3))
▶	10.3b	(+.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))

Compiler

Compiled 4335 to 3377 computations (22.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
	0.0b	(fma.f64 a 9 -3)
	0.1b	(sqrt.f64 (fma.f64 a 9 -3))
✓	9.7b	(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))

series11.0ms (0.4%)

Counts

2 → 32

Calls

12 calls:

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

rewrite54.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

328×	`prod-diff_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`
138×	`add-sqr-sqrt_binary64`
132×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	275	34
2	3758	34

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

simplify35.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

431×	`fma-neg_binary64`
350×	`associate-/r/_binary64`
334×	`fma-def_binary64`
288×	`cancel-sign-sub-inv_binary64`
275×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	950
1	222	807
2	724	743
3	3031	732

Stop Event

1×	node limit

Counts

107 → 98

Calls

Call 1

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

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

prune154.0ms (5.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	160	4	164

Error

Counts

164 → 4

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
✓	0.1b	(+.f64 a (+.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) -1/3))
✓	10.3b	(+.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))

Compiler

Compiled 3718 to 2886 computations (22.4% saved)

regimes112.0ms (3.9%)

Accuracy

Total 0.1b remaining (76.4%)

Threshold costs 0.1b (76.4%)

Counts

49 → 1

Compiler

Compiled 815 to 633 computations (22.3% saved)

simplify2.0ms (0.1%)

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

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

end88.0ms (3.1%)

Stop Event

1×

done

Compiler

Compiled 103 to 81 computations (21.4% saved)

Details

analyze131.0ms (4.6%)

sample1.3s (46.1%)

preprocess40.0ms (1.4%)

simplify68.0ms (2.4%)

prune4.0ms (0.1%)

localize8.0ms (0.3%)

series18.0ms (0.6%)

rewrite65.0ms (2.3%)

simplify31.0ms (1.1%)

prune162.0ms (5.6%)

localize13.0ms (0.4%)

series8.0ms (0.3%)

rewrite59.0ms (2.1%)

simplify38.0ms (1.3%)

prune155.0ms (5.4%)

localize10.0ms (0.3%)

series13.0ms (0.4%)

rewrite60.0ms (2.1%)

simplify31.0ms (1.1%)

prune170.0ms (5.9%)

localize9.0ms (0.3%)

series11.0ms (0.4%)

rewrite54.0ms (1.9%)

simplify35.0ms (1.2%)

prune154.0ms (5.4%)

regimes112.0ms (3.9%)

simplify2.0ms (0.1%)

end88.0ms (3.1%)

Profiling