Details

analyze133.0ms (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%	9.8%	72.7%	10
18.1%	8.8%	73.1%	11
19.6%	5.2%	75.2%	12
20%	4.5%	75.5%	13
20.7%	2.7%	76.6%	14

Compiler

Compiled 23 to 20 computations (13% saved)

sample1.2s (37.9%)

Results

1.2s	8256×	body	128	valid
73.0ms	525×	body	128	invalid

Compiler

Compiled 46 to 40 computations (13% saved)

preprocess42.0ms (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)

simplify67.0ms (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
	0.2b	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
▶	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))

Compiler

Compiled 109 to 91 computations (16.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a 9 -3)
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
✓	0.2b	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
✓	0.4b	(sqrt.f64 (fma.f64 a 9 -3))

series56.0ms (1.7%)

Counts

4 → 50

Calls

18 calls:

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

rewrite62.0ms (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	3734	40

Stop Event

1×	node limit

Counts

4 → 127

Calls

Call 1

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

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

simplify34.0ms (1%)

Algorithm

1×	egg-herbie

Rules

374×	`fma-def_binary64`
347×	`associate-+l+_binary64`
282×	`associate-/l*_binary64`
276×	`times-frac_binary64`
231×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1065
1	321	1019
2	1143	867

Stop Event

1×	node limit

Counts

177 → 164

Calls

Call 1

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

prune185.0ms (5.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	158	6	164
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	160	6	166

Error

0.0b

Counts

166 → 6

Alt Table

Status	Error	Program
	8.6b	(+.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
	0.2b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))
	3.0b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2)))))
▶	0.1b	(-.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (-.f64 1/3 a))
	0.2b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 2))))

Compiler

Compiled 3612 to 2819 computations (22% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))
✓	0.3b	(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
✓	0.3b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 a -1/3))
✓	0.5b	(/.f64 1 (fma.f64 a 9 -3))

series51.0ms (1.6%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	a	@	-inf	(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
6.0ms	a	@	-inf	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 a -1/3))
6.0ms	rand	@	-inf	(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
5.0ms	rand	@	0	(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
5.0ms	rand	@	inf	(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 a -1/3)))

rewrite59.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	280	45
2	3417	45

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

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

simplify31.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	861
1	380	818
2	1291	769

Stop Event

1×	node limit

Counts

176 → 178

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 -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)))
(.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)))
(sqrt.f64 -1/3)
(-.f64 (sqrt.f64 -1/3) (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))))
(-.f64 (sqrt.f64 -1/3) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/3))) (*.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))))))
(-.f64 (sqrt.f64 -1/3) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/3))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))))))))

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

prune191.0ms (5.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	178	6	184

Error

Counts

184 → 6

Alt Table

Status	Error	Program
	3.0b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2)))))
▶	0.1b	(-.f64 (.f64 rand (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))) (-.f64 1/3 a))
	8.6b	(+.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
✓	0.1b	(-.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (-.f64 1/3 a))
	1.2b	(-.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1/9 a)) (+.f64 a -1/3))) (-.f64 1/3 a))

Compiler

Compiled 4428 to 3452 computations (22% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 a 9 -3)
✓	0.3b	(.f64 rand (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))
✓	0.3b	(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))
✓	0.4b	(pow.f64 (fma.f64 a 9 -3) -1/2)

series44.0ms (1.3%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	rand	@	inf	(.f64 rand (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))
6.0ms	rand	@	-inf	(.f64 rand (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))
6.0ms	rand	@	0	(.f64 rand (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))
5.0ms	a	@	-inf	(.f64 rand (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))
4.0ms	a	@	inf	(.f64 rand (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)))

rewrite54.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	267	39
2	3244	39

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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

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

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

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

522×	`fma-def_binary64`
449×	`times-frac_binary64`
307×	`associate-/l*_binary64`
275×	`fma-neg_binary64`
260×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1027
1	353	965
2	1129	878
3	4612	782

Stop Event

1×	node limit

Counts

137 → 146

Calls

Call 1

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

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

prune210.0ms (6.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	179	6	185

Error

Counts

185 → 6

Alt Table

Status	Error	Program
	3.0b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2)))))
✓	0.1b	(-.f64 (.f64 rand (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))) (-.f64 1/3 a))
	8.6b	(+.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
▶	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
✓	0.1b	(-.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (-.f64 1/3 a))
	1.2b	(-.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1/9 a)) (+.f64 a -1/3))) (-.f64 1/3 a))

Compiler

Compiled 4753 to 3752 computations (21.1% 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 (pow.f64 (fma.f64 a 9 -3) -1/2))))
✓	0.3b	(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
	0.4b	(pow.f64 (fma.f64 a 9 -3) -1/2)

series49.0ms (1.5%)

Counts

2 → 34

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	rand	@	-inf	(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
5.0ms	a	@	0	(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
5.0ms	rand	@	0	(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
5.0ms	rand	@	inf	(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
4.0ms	a	@	-inf	(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))

rewrite65.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	308	29
2	3762	29

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

556×	`fma-neg_binary64`
342×	`fma-def_binary64`
335×	`associate-+l+_binary64`
229×	`associate-/l*_binary64`
225×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	923
1	273	883
2	981	731
3	4682	713

Stop Event

1×	node limit

Counts

91 → 82

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

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

prune162.0ms (4.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	158	6	164

Error

Counts

164 → 6

Alt Table

Status	Error	Program
	3.0b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2)))))
✓	0.1b	(-.f64 (.f64 rand (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))) (-.f64 1/3 a))
	8.6b	(+.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
✓	0.1b	(-.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (-.f64 1/3 a))
	1.2b	(-.f64 (.f64 rand (.f64 (sqrt.f64 (/.f64 1/9 a)) (+.f64 a -1/3))) (-.f64 1/3 a))

Compiler

Compiled 3782 to 3018 computations (20.2% saved)

regimes309.0ms (9.4%)

Accuracy

Total 0.1b remaining (80.3%)

Threshold costs 0.1b (80.3%)

Counts

68 → 1

Compiler

Compiled 4806 to 3898 computations (18.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
9×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`
8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	20	22
2	31	22
3	42	22
4	59	22
5	70	22
6	89	22
7	98	22
8	103	22
9	105	22

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

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

end96.0ms (2.9%)

Stop Event

1×

fuel

Compiler

Compiled 137 to 107 computations (21.9% saved)

Details

analyze133.0ms (4.1%)

sample1.2s (37.9%)

preprocess42.0ms (1.3%)

simplify67.0ms (2.1%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

series56.0ms (1.7%)

rewrite62.0ms (1.9%)

simplify34.0ms (1%)

prune185.0ms (5.6%)

localize10.0ms (0.3%)

series51.0ms (1.6%)

rewrite59.0ms (1.8%)

simplify31.0ms (0.9%)

prune191.0ms (5.8%)

localize12.0ms (0.4%)

series44.0ms (1.3%)

rewrite54.0ms (1.6%)

simplify48.0ms (1.5%)

prune210.0ms (6.4%)

localize10.0ms (0.3%)

series49.0ms (1.5%)

rewrite65.0ms (2%)

simplify41.0ms (1.3%)

prune162.0ms (4.9%)

regimes309.0ms (9.4%)

simplify3.0ms (0.1%)

end96.0ms (2.9%)

Profiling