Details

analyze125.0ms (3.6%)

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)

sample1.2s (35%)

Results

1.1s	8256×	body	128	valid
94.0ms	566×	body	128	invalid

Compiler

Compiled 46 to 40 computations (13% saved)

preprocess47.0ms (1.3%)

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%)

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

0.2b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 109 to 91 computations (16.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series17.0ms (0.5%)

Counts

4 → 50

Calls

18 calls:

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

rewrite63.0ms (1.8%)

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

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

simplify45.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

455×	`distribute-rgt-in_binary64`
329×	`fma-def_binary64`
251×	`associate-r_binary64`
244×	`associate-l_binary64`
190×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	957
1	278	933
2	905	905
3	3713	871

Stop Event

1×	node limit

Counts

177 → 164

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

prune192.0ms (5.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	156	8	164
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	158	8	166

Error

0.0b

Counts

166 → 8

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))
	42.0b	(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))))
	1.3b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 3)
	12.6b	(/.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)))))
	33.1b	(/.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))
	11.9b	(+.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
	0.3b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3)))))

Compiler

Compiled 3753 to 2983 computations (20.5% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (fma.f64 a 9 -3))
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))
✓	0.3b	(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
✓	0.8b	(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)

series16.0ms (0.5%)

Counts

3 → 48

Calls

18 calls:

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

rewrite79.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

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

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

Outputs

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

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

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

simplify34.0ms (1%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-def_binary64`
420×	`associate-l_binary64`
412×	`associate-r_binary64`
255×	`times-frac_binary64`
233×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	1079
1	308	1002
2	1272	938

Stop Event

1×	node limit

Counts

168 → 153

Calls

Call 1

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

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

prune221.0ms (6.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	183	8	191

Error

0.0b

Counts

191 → 8

Alt Table

Status	Error	Program
	11.9b	(+.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
	1.3b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1))) 3)
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))
	42.0b	(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))))
	33.1b	(/.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))
▶	0.2b	(+.f64 a (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))
	0.3b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3)))))

Compiler

Compiled 4395 to 3526 computations (19.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 a 9 -3)
	0.1b	(sqrt.f64 (fma.f64 a 9 -3))
	0.2b	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
✓	6.7b	(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))

series5.0ms (0.1%)

Counts

1 → 16

Calls

6 calls:

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

rewrite52.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

796×	`associate-r_binary64`
384×	`associate-*l/_binary64`
305×	`associate-*r/_binary64`
241×	`associate-/l*_binary64`
207×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	460
1	155	453
2	464	450
3	1823	357

Stop Event

1×	node limit

Counts

92 → 86

Calls

Call 1

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

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

prune276.0ms (7.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	191	7	198

Error

Counts

198 → 7

Alt Table

Status	Error	Program
	0.2b	(+.f64 a (+.f64 -1/3 (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (*.f64 -1/3 rand) (sqrt.f64 (fma.f64 a 9 -3))))))
	1.3b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1))) 3)
▶	0.1b	(+.f64 a (+.f64 -1/3 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))))
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))
	42.0b	(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))))
	33.1b	(/.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))

Compiler

Compiled 4700 to 3565 computations (24.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 a 9 -3)
	0.1b	(sqrt.f64 (fma.f64 a 9 -3))
✓	0.2b	(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))
✓	0.3b	(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))

series6.0ms (0.2%)

Counts

2 → 20

Calls

9 calls:

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

rewrite60.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
211×	`expm1-udef_binary64`
211×	`log1p-udef_binary64`
170×	`log-pow_binary64`
152×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	246	29
2	3235	29

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

Outputs

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

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

simplify39.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

471×	`distribute-rgt-in_binary64`
465×	`distribute-lft-in_binary64`
338×	`fma-def_binary64`
205×	`times-frac_binary64`
174×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	635
1	273	611
2	795	606
3	3130	584

Stop Event

1×	node limit

Counts

112 → 109

Calls

Call 1

Inputs
(*.f64 -3 (sqrt.f64 -3))
(+.f64 (.f64 a (-.f64 (.f64 -9 (sqrt.f64 -3)) (.f64 27/2 (/.f64 1 (sqrt.f64 -3))))) (.f64 -3 (sqrt.f64 -3)))
(+.f64 (.f64 a (-.f64 (.f64 -9 (sqrt.f64 -3)) (.f64 27/2 (/.f64 1 (sqrt.f64 -3))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 (+.f64 (.f64 -27 (sqrt.f64 -3)) (.f64 243/8 (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 81/2 (/.f64 1 (sqrt.f64 -3))))) (.f64 -3 (sqrt.f64 -3))))
(+.f64 (.f64 a (-.f64 (.f64 -9 (sqrt.f64 -3)) (.f64 27/2 (/.f64 1 (sqrt.f64 -3))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 (+.f64 (.f64 -27 (sqrt.f64 -3)) (.f64 243/8 (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 81/2 (/.f64 1 (sqrt.f64 -3))))) (+.f64 (.f64 -3 (sqrt.f64 -3)) (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 729/8 (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) (.f64 -81 (sqrt.f64 -3))) (+.f64 (.f64 243/2 (/.f64 1 (sqrt.f64 -3))) (*.f64 2187/16 (/.f64 1 (pow.f64 (sqrt.f64 -3) 5)))))))))
(.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 (.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 -1/3 (.f64 (sqrt.f64 -1/3) rand)) (.f64 (+.f64 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))) (*.f64 (sqrt.f64 -1/3) rand)) a))
(+.f64 (.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand)) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 (+.f64 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))) (*.f64 (sqrt.f64 -1/3) rand)) a)))
(+.f64 (.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand)) (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 rand (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3)))) (pow.f64 a 3)) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 (+.f64 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))) (*.f64 (sqrt.f64 -1/3) rand)) a))))

Outputs
(*.f64 -3 (sqrt.f64 -3))
(+.f64 (.f64 a (-.f64 (.f64 -9 (sqrt.f64 -3)) (.f64 27/2 (/.f64 1 (sqrt.f64 -3))))) (.f64 -3 (sqrt.f64 -3)))
(fma.f64 a (-.f64 (.f64 (sqrt.f64 -3) -9) (/.f64 27/2 (sqrt.f64 -3))) (.f64 -3 (sqrt.f64 -3)))
(fma.f64 a (fma.f64 (sqrt.f64 -3) -9 (/.f64 -27/2 (sqrt.f64 -3))) (*.f64 -3 (sqrt.f64 -3)))
(+.f64 (.f64 a (-.f64 (.f64 -9 (sqrt.f64 -3)) (.f64 27/2 (/.f64 1 (sqrt.f64 -3))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 (+.f64 (.f64 -27 (sqrt.f64 -3)) (.f64 243/8 (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 81/2 (/.f64 1 (sqrt.f64 -3))))) (.f64 -3 (sqrt.f64 -3))))
(fma.f64 a (-.f64 (.f64 (sqrt.f64 -3) -9) (/.f64 27/2 (sqrt.f64 -3))) (fma.f64 (.f64 a a) (-.f64 (fma.f64 -27 (sqrt.f64 -3) (/.f64 243/8 (pow.f64 (sqrt.f64 -3) 3))) (/.f64 81/2 (sqrt.f64 -3))) (*.f64 -3 (sqrt.f64 -3))))
(fma.f64 a (fma.f64 (sqrt.f64 -3) -9 (/.f64 -27/2 (sqrt.f64 -3))) (fma.f64 -3 (sqrt.f64 -3) (.f64 (.f64 a a) (fma.f64 (sqrt.f64 -3) -27 (-.f64 (/.f64 -81/8 (sqrt.f64 -3)) (/.f64 81/2 (sqrt.f64 -3)))))))
(fma.f64 -3 (sqrt.f64 -3) (.f64 a (+.f64 (.f64 a (fma.f64 (sqrt.f64 -3) -27 (-.f64 (/.f64 -81/8 (sqrt.f64 -3)) (/.f64 81/2 (sqrt.f64 -3))))) (fma.f64 (sqrt.f64 -3) -9 (/.f64 -27/2 (sqrt.f64 -3))))))
(fma.f64 -3 (sqrt.f64 -3) (.f64 a (+.f64 (fma.f64 (sqrt.f64 -3) -9 (/.f64 -27/2 (sqrt.f64 -3))) (.f64 a (+.f64 (/.f64 -81/8 (sqrt.f64 -3)) (fma.f64 (sqrt.f64 -3) -27 (/.f64 -81/2 (sqrt.f64 -3))))))))
(+.f64 (.f64 a (-.f64 (.f64 -9 (sqrt.f64 -3)) (.f64 27/2 (/.f64 1 (sqrt.f64 -3))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 (+.f64 (.f64 -27 (sqrt.f64 -3)) (.f64 243/8 (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 81/2 (/.f64 1 (sqrt.f64 -3))))) (+.f64 (.f64 -3 (sqrt.f64 -3)) (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 729/8 (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) (.f64 -81 (sqrt.f64 -3))) (+.f64 (.f64 243/2 (/.f64 1 (sqrt.f64 -3))) (*.f64 2187/16 (/.f64 1 (pow.f64 (sqrt.f64 -3) 5)))))))))
(fma.f64 a (-.f64 (.f64 (sqrt.f64 -3) -9) (/.f64 27/2 (sqrt.f64 -3))) (fma.f64 (.f64 a a) (-.f64 (fma.f64 -27 (sqrt.f64 -3) (/.f64 243/8 (pow.f64 (sqrt.f64 -3) 3))) (/.f64 81/2 (sqrt.f64 -3))) (fma.f64 -3 (sqrt.f64 -3) (.f64 (pow.f64 a 3) (+.f64 (/.f64 729/8 (pow.f64 (sqrt.f64 -3) 3)) (-.f64 (.f64 (sqrt.f64 -3) -81) (+.f64 (/.f64 243/2 (sqrt.f64 -3)) (/.f64 2187/16 (pow.f64 (sqrt.f64 -3) 5)))))))))
(fma.f64 a (fma.f64 (sqrt.f64 -3) -9 (/.f64 -27/2 (sqrt.f64 -3))) (fma.f64 (.f64 a a) (fma.f64 (sqrt.f64 -3) -27 (-.f64 (/.f64 -81/8 (sqrt.f64 -3)) (/.f64 81/2 (sqrt.f64 -3)))) (fma.f64 -3 (sqrt.f64 -3) (.f64 (pow.f64 a 3) (-.f64 (fma.f64 (sqrt.f64 -3) -81 (/.f64 -243/8 (sqrt.f64 -3))) (+.f64 (/.f64 243/2 (sqrt.f64 -3)) (/.f64 2187/16 (pow.f64 (sqrt.f64 -3) 5))))))))
(fma.f64 a (fma.f64 (sqrt.f64 -3) -9 (/.f64 -27/2 (sqrt.f64 -3))) (fma.f64 -3 (sqrt.f64 -3) (.f64 (.f64 a a) (+.f64 (fma.f64 (sqrt.f64 -3) -27 (-.f64 (/.f64 -81/8 (sqrt.f64 -3)) (/.f64 81/2 (sqrt.f64 -3)))) (*.f64 a (+.f64 (/.f64 -243/8 (sqrt.f64 -3)) (fma.f64 (sqrt.f64 -3) -81 (+.f64 (/.f64 -243/2 (sqrt.f64 -3)) (/.f64 -2187/16 (pow.f64 (sqrt.f64 -3) 5))))))))))
(fma.f64 a (fma.f64 (sqrt.f64 -3) -9 (/.f64 -27/2 (sqrt.f64 -3))) (fma.f64 -3 (sqrt.f64 -3) (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 (/.f64 -243/8 (sqrt.f64 -3)) (+.f64 (fma.f64 (sqrt.f64 -3) -81 (/.f64 -243/2 (sqrt.f64 -3))) (/.f64 -2187/16 (pow.f64 (sqrt.f64 -3) 5))))) (+.f64 (/.f64 -81/8 (sqrt.f64 -3)) (fma.f64 (sqrt.f64 -3) -27 (/.f64 -81/2 (sqrt.f64 -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 (fma.f64 9 a -3))))
(.f64 (+.f64 a -1/3) (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (.f64 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 (fma.f64 9 a -3))))
(.f64 (+.f64 a -1/3) (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (.f64 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 (fma.f64 9 a -3))))
(.f64 (+.f64 a -1/3) (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (.f64 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 (fma.f64 9 a -3))))
(.f64 (+.f64 a -1/3) (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (.f64 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 (fma.f64 9 a -3))))
(.f64 (+.f64 a -1/3) (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (.f64 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 (fma.f64 9 a -3))))
(.f64 (+.f64 a -1/3) (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (.f64 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 (fma.f64 9 a -3))))
(.f64 (+.f64 a -1/3) (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (.f64 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 (fma.f64 9 a -3))))
(.f64 (+.f64 a -1/3) (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (.f64 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 (fma.f64 9 a -3))))
(.f64 (+.f64 a -1/3) (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (.f64 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 (fma.f64 9 a -3))))
(.f64 (+.f64 a -1/3) (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (.f64 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 (fma.f64 9 a -3))))
(.f64 (+.f64 a -1/3) (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (.f64 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 (fma.f64 9 a -3))))
(.f64 (+.f64 a -1/3) (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand))
(.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 rand (.f64 -1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand)) (.f64 (+.f64 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))) (*.f64 (sqrt.f64 -1/3) rand)) a))
(fma.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)) (.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 rand (*.f64 -1/3 (sqrt.f64 -1/3))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 rand (/.f64 (sqrt.f64 -1/3) 1/6))) (.f64 rand (.f64 -1/3 (sqrt.f64 -1/3))))
(+.f64 (.f64 a (/.f64 rand (/.f64 (sqrt.f64 -1/3) 1/6))) (.f64 (sqrt.f64 -1/3) (*.f64 rand (+.f64 a -1/3))))
(+.f64 (.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand)) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 (+.f64 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))) (*.f64 (sqrt.f64 -1/3) rand)) a)))
(fma.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 (.f64 a a) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (/.f64 (.f64 -1/2 rand) (sqrt.f64 -1/3))) (.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 (.f64 a a) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (.f64 (/.f64 rand (sqrt.f64 -1/3)) -1/2)))))
(fma.f64 rand (.f64 -1/3 (sqrt.f64 -1/3)) (.f64 a (+.f64 (.f64 a (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (*.f64 rand (/.f64 -1/2 (sqrt.f64 -1/3))))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 rand (/.f64 (sqrt.f64 -1/3) 1/6))))))
(fma.f64 rand (.f64 -1/3 (sqrt.f64 -1/3)) (.f64 a (+.f64 (.f64 a (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 (+.f64 1/2 (.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) 1/6)) -1/2))) (.f64 rand (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3)))))))
(+.f64 (.f64 -1/3 (.f64 (sqrt.f64 -1/3) rand)) (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 rand (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3)))) (pow.f64 a 3)) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 (+.f64 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))) (*.f64 (sqrt.f64 -1/3) rand)) a))))
(fma.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (.f64 -1/2 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))) (pow.f64 a 3) (fma.f64 (.f64 a a) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (/.f64 (.f64 -1/2 rand) (sqrt.f64 -1/3))) (.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 rand (sqrt.f64 -1/3)))))))
(fma.f64 -1/3 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 (pow.f64 a 3) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)) (.f64 -1/2 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 (.f64 a a) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (*.f64 (/.f64 rand (sqrt.f64 -1/3)) -1/2))))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 9 (.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 -3/2 (.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) -1/2)))) (fma.f64 rand (.f64 -1/3 (sqrt.f64 -1/3)) (.f64 a (+.f64 (.f64 a (fma.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (*.f64 rand (/.f64 -1/2 (sqrt.f64 -1/3))))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 rand (/.f64 (sqrt.f64 -1/3) 1/6)))))))
(fma.f64 rand (.f64 -1/3 (sqrt.f64 -1/3)) (.f64 a (+.f64 (.f64 rand (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3)))) (.f64 a (+.f64 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 (+.f64 1/2 (.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) 1/6)) -1/2)) (.f64 a (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 (+.f64 3/2 (.f64 1/6 (+.f64 -9/2 (.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) -3/2)))) (+.f64 -3/2 (*.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) -1/2))))))))))

prune195.0ms (5.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	168	3	171
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	172	6	178

Error

Counts

178 → 6

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))
	42.0b	(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
	0.2b	(+.f64 a (+.f64 -1/3 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))))
	33.1b	(/.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))
	0.2b	(+.f64 a (+.f64 -1/3 (/.f64 rand (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) -1))))
	0.2b	(+.f64 a (+.f64 -1/3 (/.f64 rand (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))) 2))))

Compiler

Compiled 4003 to 3156 computations (21.2% saved)

regimes537.0ms (15.4%)

Accuracy

Total 0.1b remaining (74.1%)

Threshold costs 0.1b (74.1%)

Counts

188 → 1

Compiler

Compiled 3272 to 2508 computations (23.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	24
1	21	24
2	22	24

Stop Event

1×

saturated

Calls

Call 1

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

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

end105.0ms (3%)

Stop Event

1×

fuel

Compiler

Compiled 144 to 113 computations (21.5% saved)

Details

analyze125.0ms (3.6%)

sample1.2s (35%)

preprocess47.0ms (1.3%)

simplify68.0ms (2%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

series17.0ms (0.5%)

rewrite63.0ms (1.8%)

simplify45.0ms (1.3%)

prune192.0ms (5.5%)

localize16.0ms (0.5%)

series16.0ms (0.5%)

rewrite79.0ms (2.3%)

simplify34.0ms (1%)

prune221.0ms (6.4%)

localize9.0ms (0.3%)

series5.0ms (0.1%)

rewrite52.0ms (1.5%)

simplify28.0ms (0.8%)

prune276.0ms (7.9%)

localize11.0ms (0.3%)

series6.0ms (0.2%)

rewrite60.0ms (1.7%)

simplify39.0ms (1.1%)

prune195.0ms (5.6%)

regimes537.0ms (15.4%)

simplify2.0ms (0.1%)

end105.0ms (3%)

Profiling