Details

analyze135.0ms (4.1%)

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 (36.6%)

Results

1.1s	8256×	body	128	valid
81.0ms	604×	body	128	invalid

Compiler

Compiled 46 to 40 computations (13% saved)

preprocess44.0ms (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 (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 109 to 91 computations (16.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series57.0ms (1.8%)

Counts

4 → 50

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
6.0ms	rand	@	-inf	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
5.0ms	a	@	0	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
4.0ms	rand	@	inf	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
4.0ms	rand	@	0	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))

rewrite63.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 127

Calls

Call 1

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

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

simplify36.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

177 → 163

Calls

Call 1

Inputs
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 (sqrt.f64 -1/3) rand)
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 9/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(-.f64 (+.f64 (.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)) (.f64 81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))))
(-.f64 (+.f64 (.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))) (*.f64 81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))))
(.f64 -1/3 (+.f64 1 (.f64 (sqrt.f64 -1/3) rand)))
(-.f64 (+.f64 a (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand)))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(-.f64 (+.f64 a (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand))))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(-.f64 (+.f64 a (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand))))))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
-3
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)

Outputs
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 (sqrt.f64 -1/3) rand)
(*.f64 rand (sqrt.f64 -1/3))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3))))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) -1/2))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 3/2 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/8 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (.f64 1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 3/2 (.f64 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) rand) (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 -3/8 (.f64 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) rand)))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 (.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) a) 9/8)))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 9/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 3/2 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/2 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (fma.f64 3/4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 9/2 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) rand)))))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (fma.f64 3/2 (.f64 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) rand) (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 -3/8 (.f64 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) rand)))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (fma.f64 9/2 (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) rand) (.f64 -9/4 (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) rand))))))
(-.f64 (-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 (.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) a) 9/8))) (fma.f64 1/16 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 3)) 9/4)))
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))
(-.f64 (+.f64 (.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)) (.f64 81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))))
(+.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (.f64 -81/8 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 3))))
(-.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (.f64 -27/8 (/.f64 (.f64 a a) (sqrt.f64 -3))))
(+.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (.f64 27/8 (/.f64 (.f64 a a) (sqrt.f64 -3))))
(-.f64 (+.f64 (.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))) (*.f64 81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))))
(+.f64 (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))) (.f64 -81/8 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 3))))
(-.f64 (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))) (.f64 -27/8 (/.f64 (.f64 a a) (sqrt.f64 -3))))
(+.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (.f64 27/8 (/.f64 (.f64 a a) (sqrt.f64 -3)))))
(.f64 -1/3 (+.f64 1 (.f64 (sqrt.f64 -1/3) rand)))
(+.f64 -1/3 (.f64 -1/3 (.f64 rand (sqrt.f64 -1/3))))
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))
(-.f64 (+.f64 a (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand)))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(-.f64 (+.f64 a (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (.f64 (sqrt.f64 -1/3) (.f64 rand a)))) (+.f64 1/3 (.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/3)))
(+.f64 a (-.f64 (fma.f64 (sqrt.f64 -1/3) (.f64 rand a) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (.f64 rand a)))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) 1/3)))
(+.f64 a (fma.f64 rand (.f64 a (sqrt.f64 -1/3)) (fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(-.f64 (+.f64 a (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand))))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(+.f64 a (-.f64 (fma.f64 1/24 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (.f64 (sqrt.f64 -1/3) (.f64 rand a)))) (+.f64 1/3 (.f64 (.f64 rand (sqrt.f64 -1/3)) 1/3))))
(+.f64 (+.f64 (fma.f64 (sqrt.f64 -1/3) (.f64 rand a) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (.f64 rand a)))) (.f64 -1/8 (.f64 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) rand))) (-.f64 a (.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) 1/3)))
(+.f64 (fma.f64 rand (.f64 a (sqrt.f64 -1/3)) (fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 a)) (fma.f64 -1/8 (.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) a) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(-.f64 (+.f64 a (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (sqrt.f64 -1/3) (.f64 a rand))))))) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))))
(+.f64 a (-.f64 (fma.f64 1/24 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (.f64 (sqrt.f64 -1/3) (.f64 rand a)))))) (+.f64 1/3 (.f64 (.f64 rand (sqrt.f64 -1/3)) 1/3))))
(+.f64 a (+.f64 (fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 (fma.f64 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) 1/48 (fma.f64 (sqrt.f64 -1/3) (.f64 rand a) (.f64 -3/8 (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) rand))))) (-.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) rand)) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) 1/3))))
(+.f64 a (fma.f64 -1/8 (.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) a) (+.f64 (fma.f64 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) 1/48 (.f64 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 3)) -3/8)) (fma.f64 rand (.f64 a (sqrt.f64 -1/3)) (fma.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3)))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
(.f64 (.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3)))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (.f64 (.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1/3))
(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
-3
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)

prune199.0ms (6.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	155	8	163
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	156	9	165

Error

0.0b

Counts

165 → 9

Alt Table

Status	Error	Program
	7.6b	(*.f64 (-.f64 a 1/3) (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))))
▶	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))
	0.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)))
	0.2b	(.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)))))
	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (neg.f64 rand) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))
	10.1b	(/.f64 (.f64 (-.f64 1 (/.f64 (.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
	45.8b	(/.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))))
	11.3b	(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))

Compiler

Compiled 3745 to 2935 computations (21.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series54.0ms (1.7%)

Counts

4 → 38

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
5.0ms	rand	@	0	(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
4.0ms	rand	@	-inf	(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
4.0ms	rand	@	inf	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))
4.0ms	rand	@	inf	(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))

rewrite66.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`prod-diff_binary64`
165×	`add-sqr-sqrt_binary64`
156×	`*-un-lft-identity_binary64`
156×	`pow1_binary64`
155×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	338	44
2	4353	44

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

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

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

simplify39.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

583×	`fma-def_binary64`
320×	`associate-/l*_binary64`
281×	`times-frac_binary64`
218×	`associate-r_binary64`
215×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1088
1	425	1039
2	1524	859

Stop Event

1×	node limit

Counts

154 → 159

Calls

Call 1

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

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

prune208.0ms (6.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	157	2	159
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	161	7	168

Error

0.0b

Counts

168 → 7

Alt Table

Status	Error	Program
	10.1b	(/.f64 (.f64 (-.f64 1 (/.f64 (.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (/.f64 1 (sqrt.f64 (fma.f64 9 a -3))))))
▶	0.1b	(+.f64 a (+.f64 (.f64 rand (.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) -1/3))
	7.6b	(*.f64 (-.f64 a 1/3) (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))))
	0.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)))
	11.3b	(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))

Compiler

Compiled 3751 to 2993 computations (20.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series47.0ms (1.4%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	rand	@	inf	(.f64 rand (.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
5.0ms	rand	@	-inf	(.f64 rand (.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
5.0ms	a	@	inf	(*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
5.0ms	rand	@	0	(.f64 rand (.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
4.0ms	a	@	-inf	(.f64 rand (.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))

rewrite56.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`log-prod_binary64`
223×	`expm1-udef_binary64`
223×	`log1p-udef_binary64`
183×	`log-pow_binary64`
130×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	274	45
2	3231	45

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

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

simplify30.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-def_binary64`
457×	`times-frac_binary64`
357×	`associate-+l+_binary64`
317×	`associate-/l*_binary64`
180×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	861
1	380	818
2	1295	769

Stop Event

1×	node limit

Counts

153 → 156

Calls

Call 1

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

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

prune193.0ms (5.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	156	7	163

Error

Counts

163 → 7

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 a (+.f64 (.f64 rand (.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) -1/3))
	7.6b	(*.f64 (-.f64 a 1/3) (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))))
▶	0.1b	(+.f64 a (+.f64 (*.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3)))) -1/3))
	0.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)))
	10.1b	(/.f64 (.f64 (-.f64 1 (/.f64 (.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
	11.3b	(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))

Compiler

Compiled 3816 to 2993 computations (21.6% 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))
✓	0.3b	(/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3)))
✓	0.3b	(*.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))))

series36.0ms (1.1%)

Counts

2 → 20

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(*.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))))
5.0ms	rand	@	-inf	(*.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))))
5.0ms	rand	@	0	(*.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))))
4.0ms	rand	@	inf	(*.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))))
4.0ms	a	@	-inf	(*.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))))

rewrite49.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
205×	`expm1-udef_binary64`
205×	`log1p-udef_binary64`
166×	`log-pow_binary64`
117×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	240	29
2	3009	29

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify37.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

465×	`associate-/l/_binary64`
391×	`times-frac_binary64`
322×	`fma-def_binary64`
272×	`fma-neg_binary64`
261×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	540
1	226	506
2	769	487
3	3431	469

Stop Event

1×	node limit

Counts

83 → 81

Calls

Call 1

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

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

prune159.0ms (4.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	144	6	150

Error

Counts

150 → 6

Alt Table

Status	Error	Program
	11.3b	(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
	0.1b	(+.f64 a (+.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 -1/3 a))) -1/3))
✓	0.1b	(+.f64 a (+.f64 (.f64 rand (.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) -1/3))
	7.6b	(*.f64 (-.f64 a 1/3) (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))))
	0.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)))
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))

Compiler

Compiled 3183 to 2498 computations (21.5% saved)

regimes351.0ms (10.7%)

Accuracy

Total 0.1b remaining (78.2%)

Threshold costs 0.1b (78.2%)

Counts

86 → 1

Compiler

Compiled 6186 to 4958 computations (19.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	17	23

Stop Event

1×

saturated

Calls

Call 1

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

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

end106.0ms (3.2%)

Stop Event

1×

fuel

Compiler

Compiled 142 to 113 computations (20.4% saved)

Details

analyze135.0ms (4.1%)

sample1.2s (36.6%)

preprocess44.0ms (1.3%)

simplify68.0ms (2.1%)

prune4.0ms (0.1%)

localize10.0ms (0.3%)

series57.0ms (1.8%)

rewrite63.0ms (1.9%)

simplify36.0ms (1.1%)

prune199.0ms (6.1%)

localize10.0ms (0.3%)

series54.0ms (1.7%)

rewrite66.0ms (2%)

simplify39.0ms (1.2%)

prune208.0ms (6.4%)

localize10.0ms (0.3%)

series47.0ms (1.4%)

rewrite56.0ms (1.7%)

simplify30.0ms (0.9%)

prune193.0ms (5.9%)

localize9.0ms (0.3%)

series36.0ms (1.1%)

rewrite49.0ms (1.5%)

simplify37.0ms (1.1%)

prune159.0ms (4.8%)

regimes351.0ms (10.7%)

simplify2.0ms (0.1%)

end106.0ms (3.2%)

Profiling