Details

analyze121.0ms (3.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
0%	50%	50%	5
6.2%	31.2%	62.5%	6
9.4%	28.1%	62.5%	7
14%	17.2%	68.8%	8
14.8%	16.4%	68.8%	9
17.6%	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 (37.2%)

Results

1.1s	8256×	body	128	valid
82.0ms	561×	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)

simplify68.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 109 to 91 computations (16.5% saved)

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)))))
✓	0.1b	(sqrt.f64 (fma.f64 a 9 -3))
✓	0.2b	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))

series17.0ms (0.5%)

Counts

4 → 50

Calls

18 calls:

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

rewrite66.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 127

Calls

Call 1

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

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

simplify32.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

177 → 163

Calls

Call 1

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

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

prune185.0ms (5.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	157	6	163
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	158	7	165

Error

0.0b

Counts

165 → 7

Alt Table

Status	Error	Program
	10.6b	(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
	7.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))))
	9.0b	(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 2)
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
	0.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)))
	45.6b	(/.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))))
▶	0.3b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))

Compiler

Compiled 3653 to 2861 computations (21.7% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
✓	0.3b	(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
✓	0.5b	(cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))
✓	0.6b	(cbrt.f64 (fma.f64 a 9 -3))

series54.0ms (1.6%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
39.0ms	rand	@	0	(/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
5.0ms	a	@	0	(cbrt.f64 (fma.f64 a 9 -3))
1.0ms	a	@	inf	(/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
1.0ms	a	@	-inf	(/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
1.0ms	a	@	0	(/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))

rewrite69.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`log-prod_binary64`
205×	`expm1-udef_binary64`
205×	`log1p-udef_binary64`
180×	`log-pow_binary64`
134×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	266	36
2	3207	36

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 a 9 -3))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) 1/6) (pow.f64 (fma.f64 a 9 -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)) (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1/6) (.f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1/6) (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.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) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) 2) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (fma.f64 a 9 -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a 9 -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a 9 -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 a 9 -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 a 9 -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) 1/6))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) 1/6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a 9 -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 a 9 -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (pow.f64 (fma.f64 a 9 -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 1/3) (pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 a 9 -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/6 (log.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 1/6 (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) 1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (cbrt.f64 (fma.f64 a 9 -3)) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) rand) (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (.f64 rand rand) (cbrt.f64 (fma.f64 a 9 -3)))) (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))) (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 (neg.f64 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) rand) (neg.f64 (cbrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 rand) (.f64 (neg.f64 (cbrt.f64 (fma.f64 a 9 -3))) (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 rand) (.f64 (cbrt.f64 (fma.f64 a 9 -3)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (pow.f64 (fma.f64 a 9 -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))) (neg.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3)))) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (neg.f64 rand)) (.f64 (neg.f64 (cbrt.f64 (fma.f64 a 9 -3))) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 rand) 1) (.f64 (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)) (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand -1) (.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) (neg.f64 (cbrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 rand) -1) (.f64 (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)) (neg.f64 (cbrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)) (pow.f64 (fma.f64 a 9 -3) 1/6)) (pow.f64 (fma.f64 a 9 -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)) 1) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) 1) (pow.f64 (fma.f64 a 9 -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1/6)) (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))) (neg.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 rand) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3)))) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (neg.f64 rand)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)) -1) (neg.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3) 1/3)))) (#(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 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 cbrt.f64 (/.f64 (pow.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)) 3) (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) 3) (pow.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)) 3) (pow.f64 (/.f64 1 (cbrt.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 0 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)))) (cbrt.f64 (exp.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 rand (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 rand) 2) (.f64 (cbrt.f64 rand) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))) (cbrt.f64 (/.f64 (.f64 rand rand) (cbrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 rand rand) (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (/.f64 rand (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 rand) (.f64 (sqrt.f64 rand) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))) (sqrt.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 rand) (/.f64 1 (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1/2) rand)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (cbrt.f64 (/.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) (pow.f64 (fma.f64 a 9 -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1/6)) (/.f64 rand (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1/6)) (/.f64 (cbrt.f64 rand) (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) rand) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (.f64 rand rand) (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 rand 3) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6))))))))

simplify46.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

662×	`fma-def_binary64`
462×	`times-frac_binary64`
408×	`associate-/l*_binary64`
211×	`cancel-sign-sub-inv_binary64`
120×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1713
1	543	1652
2	1839	1393

Stop Event

1×	node limit

Counts

206 → 215

Calls

Call 1

Inputs
(cbrt.f64 -3)
(+.f64 (cbrt.f64 -3) (.f64 3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)) 1/3) a)))
(-.f64 (+.f64 (cbrt.f64 -3) (.f64 3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)) 1/3) a))) (.f64 9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7)) 1/3) (pow.f64 a 2))))
(-.f64 (+.f64 (cbrt.f64 -3) (+.f64 (.f64 3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)) 1/3) a)) (.f64 45 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 -3) 4))))) (.f64 9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7)) 1/3) (pow.f64 a 2))))
(pow.f64 -3 1/6)
(-.f64 (pow.f64 -3 1/6) (.f64 1/2 (.f64 a (pow.f64 -3 1/6))))
(-.f64 (pow.f64 -3 1/6) (+.f64 (.f64 1/2 (.f64 a (pow.f64 -3 1/6))) (.f64 5/8 (.f64 (pow.f64 a 2) (pow.f64 -3 1/6)))))
(-.f64 (pow.f64 -3 1/6) (+.f64 (.f64 55/48 (.f64 (pow.f64 a 3) (pow.f64 -3 1/6))) (+.f64 (.f64 1/2 (.f64 a (pow.f64 -3 1/6))) (.f64 5/8 (.f64 (pow.f64 a 2) (pow.f64 -3 1/6))))))
(exp.f64 (*.f64 1/6 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (.f64 1/18 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) a)))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 1/18 (/.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) a)) (.f64 5/648 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 2)))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 1/18 (/.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) a)) (+.f64 (.f64 5/648 (/.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 2))) (.f64 55/34992 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 3))))))
(exp.f64 (*.f64 1/6 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (.f64 1/18 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) a)))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 1/18 (/.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) a)) (.f64 5/648 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2)))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 1/18 (/.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) a)) (+.f64 (.f64 55/34992 (/.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 3))) (.f64 5/648 (/.f64 (exp.f64 (*.f64 1/6 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2))))))
(*.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 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(*.f64 (pow.f64 -1/3 1/6) rand)
(+.f64 (.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 a rand))) (.f64 (pow.f64 -1/3 1/6) rand))
(+.f64 (.f64 7/8 (.f64 (pow.f64 -1/3 1/6) (.f64 (pow.f64 a 2) rand))) (+.f64 (.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 a rand))) (*.f64 (pow.f64 -1/3 1/6) rand)))
(+.f64 (.f64 7/8 (.f64 (pow.f64 -1/3 1/6) (.f64 (pow.f64 a 2) rand))) (+.f64 (.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 a rand))) (+.f64 (.f64 (pow.f64 -1/3 1/6) rand) (.f64 91/48 (.f64 (pow.f64 -1/3 1/6) (.f64 (pow.f64 a 3) rand))))))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand)
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) (.f64 1/18 (/.f64 (.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) a)))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) (+.f64 (.f64 1/18 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) a)) (.f64 7/648 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) (pow.f64 a 2)))))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) (+.f64 (.f64 1/18 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) a)) (+.f64 (.f64 7/648 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) (pow.f64 a 2))) (.f64 91/34992 (/.f64 (.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) (pow.f64 a 3))))))
(.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (.f64 1/18 (/.f64 (.f64 rand (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) a)))
(+.f64 (.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 7/648 (/.f64 (.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (.f64 1/18 (/.f64 (.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) a))))
(+.f64 (.f64 91/34992 (/.f64 (.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (+.f64 (.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 7/648 (/.f64 (.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (.f64 1/18 (/.f64 (.f64 rand (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) a)))))

Outputs
(cbrt.f64 -3)
(+.f64 (cbrt.f64 -3) (.f64 3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)) 1/3) a)))
(+.f64 (cbrt.f64 -3) (.f64 3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2))) a)))
(fma.f64 3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2))) a) (cbrt.f64 -3))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2))) (*.f64 a 3) (cbrt.f64 -3))
(-.f64 (+.f64 (cbrt.f64 -3) (.f64 3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)) 1/3) a))) (.f64 9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7)) 1/3) (pow.f64 a 2))))
(+.f64 (cbrt.f64 -3) (-.f64 (.f64 3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2))) a)) (.f64 9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7))) (*.f64 a a)))))
(+.f64 (cbrt.f64 -3) (fma.f64 3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2))) a) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7))) (.f64 a a)) -9)))
(fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7))) -9) (.f64 a a) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2))) (*.f64 a 3) (cbrt.f64 -3)))
(-.f64 (+.f64 (cbrt.f64 -3) (+.f64 (.f64 3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)) 1/3) a)) (.f64 45 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 -3) 4))))) (.f64 9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7)) 1/3) (pow.f64 a 2))))
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(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/6))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/6))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/6))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/6))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/6))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/6))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/6))
(.f64 rand (pow.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)) 1/6))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/6))
(*.f64 rand (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/6))
(*.f64 (pow.f64 -1/3 1/6) rand)
(*.f64 rand (pow.f64 -1/3 1/6))
(+.f64 (.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 a rand))) (.f64 (pow.f64 -1/3 1/6) rand))
(fma.f64 1/2 (.f64 (.f64 a rand) (pow.f64 -1/3 1/6)) (*.f64 rand (pow.f64 -1/3 1/6)))
(fma.f64 1/2 (.f64 rand (.f64 a (pow.f64 -1/3 1/6))) (*.f64 rand (pow.f64 -1/3 1/6)))
(.f64 (pow.f64 -1/3 1/6) (+.f64 rand (.f64 1/2 (*.f64 a rand))))
(+.f64 (.f64 7/8 (.f64 (pow.f64 -1/3 1/6) (.f64 (pow.f64 a 2) rand))) (+.f64 (.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 a rand))) (*.f64 (pow.f64 -1/3 1/6) rand)))
(fma.f64 7/8 (.f64 (.f64 (pow.f64 -1/3 1/6) (.f64 a a)) rand) (fma.f64 1/2 (.f64 (.f64 a rand) (pow.f64 -1/3 1/6)) (.f64 rand (pow.f64 -1/3 1/6))))
(fma.f64 7/8 (.f64 (.f64 a a) (.f64 rand (pow.f64 -1/3 1/6))) (fma.f64 1/2 (.f64 rand (.f64 a (pow.f64 -1/3 1/6))) (.f64 rand (pow.f64 -1/3 1/6))))
(fma.f64 (.f64 a (.f64 a rand)) (.f64 (pow.f64 -1/3 1/6) 7/8) (.f64 (pow.f64 -1/3 1/6) (+.f64 rand (.f64 1/2 (.f64 a rand)))))
(+.f64 (.f64 7/8 (.f64 (pow.f64 -1/3 1/6) (.f64 (pow.f64 a 2) rand))) (+.f64 (.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 a rand))) (+.f64 (.f64 (pow.f64 -1/3 1/6) rand) (.f64 91/48 (.f64 (pow.f64 -1/3 1/6) (.f64 (pow.f64 a 3) rand))))))
(fma.f64 7/8 (.f64 (.f64 (pow.f64 -1/3 1/6) (.f64 a a)) rand) (fma.f64 1/2 (.f64 (.f64 a rand) (pow.f64 -1/3 1/6)) (fma.f64 (pow.f64 -1/3 1/6) rand (.f64 91/48 (.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 -1/3 1/6))))))
(fma.f64 7/8 (.f64 (.f64 a a) (.f64 rand (pow.f64 -1/3 1/6))) (fma.f64 1/2 (.f64 rand (.f64 a (pow.f64 -1/3 1/6))) (fma.f64 rand (pow.f64 -1/3 1/6) (.f64 (.f64 (pow.f64 a 3) (pow.f64 -1/3 1/6)) (.f64 rand 91/48)))))
(+.f64 (.f64 (pow.f64 -1/3 1/6) (+.f64 rand (.f64 1/2 (.f64 a rand)))) (.f64 (pow.f64 -1/3 1/6) (+.f64 (.f64 91/48 (.f64 (pow.f64 a 3) rand)) (.f64 7/8 (.f64 a (*.f64 a rand))))))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand)
(*.f64 rand (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))))
(*.f64 rand (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))))
(.f64 rand (.f64 (pow.f64 (/.f64 1 a) 1/6) (pow.f64 1/9 1/6)))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) (.f64 1/18 (/.f64 (.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) a)))
(fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) rand (*.f64 1/18 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) (/.f64 a rand))))
(fma.f64 1/18 (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) a) rand) (.f64 rand (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a)))))
(fma.f64 1/18 (.f64 (/.f64 (pow.f64 (/.f64 1 a) 1/6) (/.f64 a (pow.f64 1/9 1/6))) rand) (.f64 rand (*.f64 (pow.f64 (/.f64 1 a) 1/6) (pow.f64 1/9 1/6))))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) (+.f64 (.f64 1/18 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) a)) (.f64 7/648 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) (pow.f64 a 2)))))
(fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) rand (fma.f64 1/18 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) (/.f64 a rand)) (.f64 7/648 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) (/.f64 (.f64 a a) rand)))))
(fma.f64 rand (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) (fma.f64 1/18 (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) a) rand) (.f64 (/.f64 7/648 a) (*.f64 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) a) rand))))
(fma.f64 rand (.f64 (pow.f64 (/.f64 1 a) 1/6) (pow.f64 1/9 1/6)) (.f64 (*.f64 (/.f64 (pow.f64 (/.f64 1 a) 1/6) (/.f64 a (pow.f64 1/9 1/6))) rand) (+.f64 1/18 (/.f64 7/648 a))))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) (+.f64 (.f64 1/18 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) a)) (+.f64 (.f64 7/648 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) (pow.f64 a 2))) (.f64 91/34992 (/.f64 (.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) rand) (pow.f64 a 3))))))
(fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) rand (fma.f64 1/18 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) (/.f64 a rand)) (fma.f64 7/648 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) (/.f64 (.f64 a a) rand)) (.f64 91/34992 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) (/.f64 (pow.f64 a 3) rand))))))
(fma.f64 rand (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) (fma.f64 1/18 (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) a) rand) (fma.f64 7/648 (.f64 (/.f64 rand a) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) a)) (*.f64 91/34992 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) (/.f64 (pow.f64 a 3) rand))))))
(fma.f64 rand (.f64 (pow.f64 (/.f64 1 a) 1/6) (pow.f64 1/9 1/6)) (fma.f64 1/18 (.f64 (/.f64 (pow.f64 (/.f64 1 a) 1/6) (/.f64 a (pow.f64 1/9 1/6))) rand) (.f64 (.f64 (/.f64 rand a) (/.f64 (pow.f64 (/.f64 1 a) 1/6) (/.f64 a (pow.f64 1/9 1/6)))) (+.f64 7/648 (/.f64 91/34992 a)))))
(.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))))
(*.f64 rand (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9))))
(.f64 rand (.f64 (pow.f64 -1/9 1/6) (pow.f64 (/.f64 -1 a) 1/6)))
(+.f64 (.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (.f64 1/18 (/.f64 (.f64 rand (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) a)))
(fma.f64 rand (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9))) (*.f64 1/18 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9)))))))
(fma.f64 1/18 (.f64 (/.f64 rand a) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9)))) (.f64 rand (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9)))))
(fma.f64 1/18 (.f64 (/.f64 rand a) (.f64 (pow.f64 -1/9 1/6) (pow.f64 (/.f64 -1 a) 1/6))) (.f64 rand (.f64 (pow.f64 -1/9 1/6) (pow.f64 (/.f64 -1 a) 1/6))))
(+.f64 (.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 7/648 (/.f64 (.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (.f64 1/18 (/.f64 (.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) a))))
(fma.f64 rand (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9))) (fma.f64 7/648 (/.f64 (.f64 rand (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9)))) (.f64 a a)) (*.f64 1/18 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9))))))))
(fma.f64 rand (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9))) (fma.f64 1/18 (.f64 (/.f64 rand a) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9)))) (.f64 7/648 (.f64 (/.f64 rand (.f64 a a)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9)))))))
(fma.f64 rand (.f64 (pow.f64 -1/9 1/6) (pow.f64 (/.f64 -1 a) 1/6)) (.f64 (.f64 (/.f64 rand a) (.f64 (pow.f64 -1/9 1/6) (pow.f64 (/.f64 -1 a) 1/6))) (+.f64 1/18 (/.f64 7/648 a))))
(+.f64 (.f64 91/34992 (/.f64 (.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (+.f64 (.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 7/648 (/.f64 (.f64 rand (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (.f64 1/18 (/.f64 (.f64 rand (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))) a)))))
(fma.f64 91/34992 (/.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9))))) (fma.f64 rand (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9))) (fma.f64 7/648 (/.f64 (.f64 rand (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9)))) (.f64 a a)) (*.f64 1/18 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9)))))))))
(fma.f64 91/34992 (.f64 (/.f64 rand (pow.f64 a 3)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9)))) (fma.f64 rand (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9))) (fma.f64 1/18 (.f64 (/.f64 rand a) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9)))) (.f64 7/648 (.f64 (/.f64 rand (*.f64 a a)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 -1/9))))))))
(fma.f64 91/34992 (.f64 (/.f64 rand (pow.f64 a 3)) (.f64 (pow.f64 -1/9 1/6) (pow.f64 (/.f64 -1 a) 1/6))) (fma.f64 rand (.f64 (pow.f64 -1/9 1/6) (pow.f64 (/.f64 -1 a) 1/6)) (.f64 (.f64 (/.f64 rand a) (.f64 (pow.f64 -1/9 1/6) (pow.f64 (/.f64 -1 a) 1/6))) (+.f64 1/18 (/.f64 7/648 a)))))

prune281.0ms (8.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	215	7	222

Error

0.0b

Counts

222 → 7

Alt Table

Status	Error	Program
	10.6b	(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
	7.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))))
	9.0b	(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 2)
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
▶	0.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)))
	45.6b	(/.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))))
✓	0.3b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))

Compiler

Compiled 6652 to 5483 computations (17.6% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (fma.f64 a 9 -3))
	0.2b	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)
✓	9.5b	(cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))

series23.0ms (0.7%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	rand	@	-inf	(pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)
3.0ms	rand	@	-inf	(cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
2.0ms	rand	@	0	(pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)
2.0ms	rand	@	0	(cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
2.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)

rewrite43.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`log1p-expm1-u_binary64`
876×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`
95×	`add-log-exp_binary64`
94×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	233	22
2	2435	22

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 rand) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 rand) (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 rand) (/.f64 1 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (cbrt.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1/6) (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 rand)) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 rand)) (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.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)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 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 (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 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (*.f64 (cbrt.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 (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 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1/6) (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1/6) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))))))) (#(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 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) 3) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1/6) 3) (pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) 1) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))))) (cbrt.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1/6)) (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 rand)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand 1) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 rand) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (cbrt.f64 rand)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(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 cbrt.f64 (/.f64 (pow.f64 rand 3) (pow.f64 (fma.f64 a 9 -3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))))

simplify53.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

837×	`fma-def_binary64`
653×	`associate-l_binary64`
507×	`times-frac_binary64`
351×	`associate-/l*_binary64`
282×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1260
1	370	1200
2	1330	996

Stop Event

1×	node limit

Counts

101 → 125

Calls

Call 1

Inputs
(*.f64 (pow.f64 -1/3 1/6) (pow.f64 rand 1/3))
(+.f64 (.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 a (pow.f64 rand 1/3)))) (.f64 (pow.f64 -1/3 1/6) (pow.f64 rand 1/3)))
(+.f64 (.f64 7/8 (.f64 (pow.f64 -1/3 1/6) (.f64 (pow.f64 a 2) (pow.f64 rand 1/3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 a (pow.f64 rand 1/3)))) (*.f64 (pow.f64 -1/3 1/6) (pow.f64 rand 1/3))))
(+.f64 (.f64 7/8 (.f64 (pow.f64 -1/3 1/6) (.f64 (pow.f64 a 2) (pow.f64 rand 1/3)))) (+.f64 (.f64 91/48 (.f64 (pow.f64 -1/3 1/6) (.f64 (pow.f64 a 3) (pow.f64 rand 1/3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 a (pow.f64 rand 1/3)))) (.f64 (pow.f64 -1/3 1/6) (pow.f64 rand 1/3)))))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) (pow.f64 rand 1/3))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) (pow.f64 rand 1/3)) (.f64 1/18 (.f64 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) a) (pow.f64 rand 1/3))))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) (pow.f64 rand 1/3)) (+.f64 (.f64 1/18 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) a) (pow.f64 rand 1/3))) (.f64 7/648 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) (pow.f64 a 2)) (pow.f64 rand 1/3)))))
(+.f64 (.f64 91/34992 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) (pow.f64 a 3)) (pow.f64 rand 1/3))) (+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) (pow.f64 rand 1/3)) (+.f64 (.f64 1/18 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) a) (pow.f64 rand 1/3))) (.f64 7/648 (.f64 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) (pow.f64 a 2)) (pow.f64 rand 1/3))))))
(.f64 (pow.f64 rand 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 1/18 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) a) (pow.f64 rand 1/3))) (.f64 (pow.f64 rand 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))))
(+.f64 (.f64 1/18 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) a) (pow.f64 rand 1/3))) (+.f64 (.f64 7/648 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2)) (pow.f64 rand 1/3))) (.f64 (pow.f64 rand 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))))))
(+.f64 (.f64 1/18 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) a) (pow.f64 rand 1/3))) (+.f64 (.f64 91/34992 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 3)) (pow.f64 rand 1/3))) (+.f64 (.f64 7/648 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2)) (pow.f64 rand 1/3))) (.f64 (pow.f64 rand 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))))))
(*.f64 (sqrt.f64 -1/3) rand)
(+.f64 (.f64 (sqrt.f64 -1/3) rand) (.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 a rand))))
(+.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 a rand))) (.f64 27/8 (.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 2) rand)))))
(+.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 135/16 (.f64 (sqrt.f64 -1/3) (.f64 (pow.f64 a 3) rand))) (+.f64 (.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 a rand))) (.f64 27/8 (.f64 (sqrt.f64 -1/3) (.f64 (pow.f64 a 2) rand))))))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand) a)) (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand) (pow.f64 a 2))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand) a)) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand)))
(+.f64 (.f64 5/432 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand) (pow.f64 a 3))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand) (pow.f64 a 2))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand) a)) (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand))))
(.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3))
(+.f64 (.f64 1/6 (/.f64 (.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)) a)) (.f64 rand (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)))
(+.f64 (.f64 1/6 (/.f64 (.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)) a)) (+.f64 (.f64 1/24 (/.f64 (.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)) (pow.f64 a 2))) (.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3))))
(+.f64 (.f64 1/6 (/.f64 (.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)) a)) (+.f64 (.f64 5/432 (/.f64 (.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)) (pow.f64 a 3))) (+.f64 (.f64 1/24 (/.f64 (.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)) (pow.f64 a 2))) (.f64 rand (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)))))

Outputs
(*.f64 (pow.f64 -1/3 1/6) (pow.f64 rand 1/3))
(*.f64 (pow.f64 -1/3 1/6) (cbrt.f64 rand))
(+.f64 (.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 a (pow.f64 rand 1/3)))) (.f64 (pow.f64 -1/3 1/6) (pow.f64 rand 1/3)))
(fma.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 (cbrt.f64 rand) a)) (*.f64 (pow.f64 -1/3 1/6) (cbrt.f64 rand)))
(fma.f64 (pow.f64 -1/3 1/6) (cbrt.f64 rand) (.f64 (.f64 (pow.f64 -1/3 1/6) a) (*.f64 (cbrt.f64 rand) 1/2)))
(.f64 (pow.f64 -1/3 1/6) (+.f64 (.f64 1/2 (*.f64 (cbrt.f64 rand) a)) (cbrt.f64 rand)))
(+.f64 (.f64 7/8 (.f64 (pow.f64 -1/3 1/6) (.f64 (pow.f64 a 2) (pow.f64 rand 1/3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 a (pow.f64 rand 1/3)))) (*.f64 (pow.f64 -1/3 1/6) (pow.f64 rand 1/3))))
(fma.f64 7/8 (.f64 (pow.f64 -1/3 1/6) (.f64 (cbrt.f64 rand) (.f64 a a))) (fma.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 (cbrt.f64 rand) a)) (.f64 (pow.f64 -1/3 1/6) (cbrt.f64 rand))))
(fma.f64 7/8 (.f64 (.f64 (pow.f64 -1/3 1/6) (cbrt.f64 rand)) (.f64 a a)) (fma.f64 (pow.f64 -1/3 1/6) (cbrt.f64 rand) (.f64 (.f64 (pow.f64 -1/3 1/6) a) (.f64 (cbrt.f64 rand) 1/2))))
(fma.f64 (pow.f64 -1/3 1/6) (cbrt.f64 rand) (.f64 (pow.f64 -1/3 1/6) (+.f64 (.f64 (cbrt.f64 rand) (.f64 a 1/2)) (.f64 a (.f64 (.f64 (cbrt.f64 rand) a) 7/8)))))
(+.f64 (.f64 7/8 (.f64 (pow.f64 -1/3 1/6) (.f64 (pow.f64 a 2) (pow.f64 rand 1/3)))) (+.f64 (.f64 91/48 (.f64 (pow.f64 -1/3 1/6) (.f64 (pow.f64 a 3) (pow.f64 rand 1/3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 a (pow.f64 rand 1/3)))) (.f64 (pow.f64 -1/3 1/6) (pow.f64 rand 1/3)))))
(fma.f64 7/8 (.f64 (pow.f64 -1/3 1/6) (.f64 (cbrt.f64 rand) (.f64 a a))) (fma.f64 91/48 (.f64 (pow.f64 -1/3 1/6) (.f64 (cbrt.f64 rand) (pow.f64 a 3))) (fma.f64 1/2 (.f64 (pow.f64 -1/3 1/6) (.f64 (cbrt.f64 rand) a)) (.f64 (pow.f64 -1/3 1/6) (cbrt.f64 rand)))))
(fma.f64 7/8 (.f64 (.f64 (pow.f64 -1/3 1/6) (cbrt.f64 rand)) (.f64 a a)) (fma.f64 91/48 (.f64 (pow.f64 -1/3 1/6) (.f64 (cbrt.f64 rand) (pow.f64 a 3))) (fma.f64 (pow.f64 -1/3 1/6) (cbrt.f64 rand) (.f64 (.f64 (pow.f64 -1/3 1/6) a) (.f64 (cbrt.f64 rand) 1/2)))))
(+.f64 (.f64 (pow.f64 -1/3 1/6) (+.f64 (.f64 1/2 (.f64 (cbrt.f64 rand) a)) (cbrt.f64 rand))) (.f64 (pow.f64 -1/3 1/6) (+.f64 (.f64 a (.f64 (.f64 (cbrt.f64 rand) a) 7/8)) (.f64 (cbrt.f64 rand) (*.f64 (pow.f64 a 3) 91/48)))))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) (pow.f64 rand 1/3))
(*.f64 (cbrt.f64 rand) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))))
(*.f64 (cbrt.f64 rand) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))))
(.f64 (pow.f64 (/.f64 1 a) 1/6) (.f64 (pow.f64 1/9 1/6) (cbrt.f64 rand)))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) (pow.f64 rand 1/3)) (.f64 1/18 (.f64 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) a) (pow.f64 rand 1/3))))
(fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) (cbrt.f64 rand) (.f64 1/18 (.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) a))))
(.f64 (cbrt.f64 rand) (+.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) (/.f64 (.f64 1/18 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a)))) a)))
(.f64 (cbrt.f64 rand) (fma.f64 (pow.f64 (/.f64 1 a) 1/6) (pow.f64 1/9 1/6) (.f64 1/18 (/.f64 (pow.f64 (/.f64 1 a) 1/6) (/.f64 a (pow.f64 1/9 1/6))))))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) (pow.f64 rand 1/3)) (+.f64 (.f64 1/18 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) a) (pow.f64 rand 1/3))) (.f64 7/648 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) (pow.f64 a 2)) (pow.f64 rand 1/3)))))
(fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) (cbrt.f64 rand) (fma.f64 1/18 (.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) a)) (.f64 7/648 (.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) (.f64 a a))))))
(fma.f64 (cbrt.f64 rand) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) (.f64 (cbrt.f64 rand) (+.f64 (/.f64 (.f64 1/18 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a)))) a) (.f64 7/648 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) (.f64 a a))))))
(.f64 (cbrt.f64 rand) (+.f64 (.f64 (pow.f64 1/9 1/6) (pow.f64 (/.f64 1 a) 1/6)) (fma.f64 7/648 (.f64 (/.f64 (pow.f64 (/.f64 1 a) 1/6) a) (/.f64 (pow.f64 1/9 1/6) a)) (.f64 1/18 (/.f64 (pow.f64 (/.f64 1 a) 1/6) (/.f64 a (pow.f64 1/9 1/6)))))))
(+.f64 (.f64 91/34992 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) (pow.f64 a 3)) (pow.f64 rand 1/3))) (+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) (pow.f64 rand 1/3)) (+.f64 (.f64 1/18 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) a) (pow.f64 rand 1/3))) (.f64 7/648 (.f64 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) (pow.f64 a 2)) (pow.f64 rand 1/3))))))
(fma.f64 91/34992 (.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) (pow.f64 a 3))) (fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) (cbrt.f64 rand) (fma.f64 1/18 (.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) a)) (.f64 7/648 (.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) (*.f64 a a)))))))
(+.f64 (.f64 (cbrt.f64 rand) (+.f64 (/.f64 (.f64 1/18 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a)))) a) (.f64 7/648 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) (.f64 a a))))) (.f64 (cbrt.f64 rand) (+.f64 (.f64 91/34992 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) (pow.f64 a 3))) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))))))
(.f64 (cbrt.f64 rand) (+.f64 (fma.f64 7/648 (.f64 (/.f64 (pow.f64 (/.f64 1 a) 1/6) a) (/.f64 (pow.f64 1/9 1/6) a)) (.f64 1/18 (/.f64 (pow.f64 (/.f64 1 a) 1/6) (/.f64 a (pow.f64 1/9 1/6))))) (fma.f64 91/34992 (/.f64 (.f64 (pow.f64 1/9 1/6) (pow.f64 (/.f64 1 a) 1/6)) (pow.f64 a 3)) (*.f64 (pow.f64 1/9 1/6) (pow.f64 (/.f64 1 a) 1/6)))))
(.f64 (pow.f64 rand 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))))
(*.f64 (cbrt.f64 rand) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))
(.f64 (cbrt.f64 rand) (.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)))
(+.f64 (.f64 1/18 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) a) (pow.f64 rand 1/3))) (.f64 (pow.f64 rand 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))))
(fma.f64 1/18 (.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) a)) (.f64 (cbrt.f64 rand) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))))
(.f64 (cbrt.f64 rand) (+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (.f64 1/18 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) a))))
(.f64 (cbrt.f64 rand) (fma.f64 1/18 (/.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)) a) (*.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6))))
(+.f64 (.f64 1/18 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) a) (pow.f64 rand 1/3))) (+.f64 (.f64 7/648 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2)) (pow.f64 rand 1/3))) (.f64 (pow.f64 rand 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))))))
(fma.f64 1/18 (.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) a)) (fma.f64 7/648 (.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (.f64 a a))) (.f64 (cbrt.f64 rand) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))))
(fma.f64 1/18 (.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) a)) (.f64 (cbrt.f64 rand) (+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (.f64 7/648 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (.f64 a a))))))
(.f64 (cbrt.f64 rand) (+.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)) (fma.f64 1/18 (/.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)) a) (.f64 (/.f64 7/648 a) (/.f64 (*.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)) a)))))
(+.f64 (.f64 1/18 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) a) (pow.f64 rand 1/3))) (+.f64 (.f64 91/34992 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 3)) (pow.f64 rand 1/3))) (+.f64 (.f64 7/648 (.f64 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2)) (pow.f64 rand 1/3))) (.f64 (pow.f64 rand 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))))))))
(fma.f64 1/18 (.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) a)) (fma.f64 91/34992 (.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (pow.f64 a 3))) (fma.f64 7/648 (.f64 (cbrt.f64 rand) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (.f64 a a))) (*.f64 (cbrt.f64 rand) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))))))
(+.f64 (.f64 (cbrt.f64 rand) (+.f64 (.f64 91/34992 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (pow.f64 a 3))) (.f64 7/648 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (.f64 a a))))) (.f64 (cbrt.f64 rand) (+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) (.f64 1/18 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) a)))))
(.f64 (cbrt.f64 rand) (+.f64 (fma.f64 (pow.f64 -1/9 1/6) (pow.f64 (/.f64 -1 a) 1/6) (.f64 (/.f64 7/648 a) (/.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)) a))) (fma.f64 1/18 (/.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)) a) (/.f64 91/34992 (/.f64 (/.f64 (pow.f64 a 3) (pow.f64 -1/9 1/6)) (pow.f64 (/.f64 -1 a) 1/6))))))
(*.f64 (sqrt.f64 -1/3) rand)
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 (sqrt.f64 -1/3) rand) (.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 a rand))))
(fma.f64 (sqrt.f64 -1/3) rand (.f64 3/2 (.f64 (sqrt.f64 -1/3) (*.f64 rand a))))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 (.f64 rand a) (*.f64 (sqrt.f64 -1/3) 3/2)))
(.f64 (sqrt.f64 -1/3) (+.f64 rand (.f64 a (*.f64 rand 3/2))))
(+.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 a rand))) (.f64 27/8 (.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 2) rand)))))
(fma.f64 (sqrt.f64 -1/3) rand (fma.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 rand a)) (.f64 27/8 (.f64 (sqrt.f64 -1/3) (.f64 rand (.f64 a a))))))
(fma.f64 rand (sqrt.f64 -1/3) (fma.f64 3/2 (.f64 rand (.f64 a (sqrt.f64 -1/3))) (.f64 27/8 (.f64 (.f64 a a) (.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 (sqrt.f64 -1/3) (.f64 (.f64 a a) (.f64 rand 27/8)) (.f64 (sqrt.f64 -1/3) (+.f64 rand (.f64 a (.f64 rand 3/2)))))
(+.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 135/16 (.f64 (sqrt.f64 -1/3) (.f64 (pow.f64 a 3) rand))) (+.f64 (.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 a rand))) (.f64 27/8 (.f64 (sqrt.f64 -1/3) (.f64 (pow.f64 a 2) rand))))))
(fma.f64 (sqrt.f64 -1/3) rand (fma.f64 135/16 (.f64 (sqrt.f64 -1/3) (.f64 rand (pow.f64 a 3))) (fma.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 rand a)) (.f64 27/8 (.f64 (sqrt.f64 -1/3) (.f64 rand (.f64 a a)))))))
(fma.f64 rand (sqrt.f64 -1/3) (fma.f64 135/16 (.f64 (pow.f64 a 3) (.f64 rand (sqrt.f64 -1/3))) (fma.f64 3/2 (.f64 rand (.f64 a (sqrt.f64 -1/3))) (.f64 27/8 (.f64 (.f64 a a) (.f64 rand (sqrt.f64 -1/3)))))))
(+.f64 (.f64 (sqrt.f64 -1/3) (+.f64 (.f64 3/2 (.f64 rand a)) (.f64 27/8 (.f64 rand (.f64 a a))))) (.f64 (sqrt.f64 -1/3) (+.f64 (.f64 135/16 (*.f64 rand (pow.f64 a 3))) rand)))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand)
(*.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) 3))
(*.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) 3))
(.f64 rand (pow.f64 (.f64 (pow.f64 1/9 1/6) (pow.f64 (/.f64 1 a) 1/6)) 3))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand) a)) (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand))
(fma.f64 1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) 3) (/.f64 a rand)) (*.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) 3)))
(fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) 3))) (*.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) 3)))
(fma.f64 1/6 (.f64 (/.f64 rand a) (pow.f64 (.f64 (pow.f64 1/9 1/6) (pow.f64 (/.f64 1 a) 1/6)) 3)) (.f64 rand (pow.f64 (.f64 (pow.f64 1/9 1/6) (pow.f64 (/.f64 1 a) 1/6)) 3)))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand) (pow.f64 a 2))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand) a)) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand)))
(fma.f64 1/24 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) 3) (/.f64 (.f64 a a) rand)) (fma.f64 1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) 3) (/.f64 a rand)) (.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) 3))))
(fma.f64 1/24 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) 3) (.f64 a a)) rand) (fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) 3))) (*.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) 3))))
(fma.f64 rand (pow.f64 (.f64 (pow.f64 1/9 1/6) (pow.f64 (/.f64 1 a) 1/6)) 3) (.f64 (.f64 (/.f64 rand a) (pow.f64 (.f64 (pow.f64 1/9 1/6) (pow.f64 (/.f64 1 a) 1/6)) 3)) (+.f64 1/6 (/.f64 1/24 a))))
(+.f64 (.f64 5/432 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand) (pow.f64 a 3))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand) (pow.f64 a 2))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand) a)) (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 a)) (log.f64 1/9)))) 3) rand))))
(fma.f64 5/432 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) 3) (/.f64 (pow.f64 a 3) rand)) (fma.f64 1/24 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) 3) (/.f64 (.f64 a a) rand)) (fma.f64 1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) 3) (/.f64 a rand)) (.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 a)) (log.f64 1/9))) 3)))))
(fma.f64 5/432 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) 3) (pow.f64 a 3)) rand) (fma.f64 1/24 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) 3) (.f64 a a)) rand) (fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) 3))) (.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 1/9) (log.f64 a))) 3)))))
(fma.f64 5/432 (.f64 (/.f64 rand (pow.f64 a 3)) (pow.f64 (.f64 (pow.f64 1/9 1/6) (pow.f64 (/.f64 1 a) 1/6)) 3)) (fma.f64 rand (pow.f64 (.f64 (pow.f64 1/9 1/6) (pow.f64 (/.f64 1 a) 1/6)) 3) (.f64 (.f64 (/.f64 rand a) (pow.f64 (.f64 (pow.f64 1/9 1/6) (pow.f64 (/.f64 1 a) 1/6)) 3)) (+.f64 1/6 (/.f64 1/24 a)))))
(.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3))
(*.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3))
(.f64 rand (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)) 3))
(+.f64 (.f64 1/6 (/.f64 (.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)) a)) (.f64 rand (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)))
(fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3))) (*.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3)))
(fma.f64 1/6 (.f64 (/.f64 rand a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3)) (.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3)))
(fma.f64 1/6 (.f64 (/.f64 rand a) (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)) 3)) (.f64 rand (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)) 3)))
(+.f64 (.f64 1/6 (/.f64 (.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)) a)) (+.f64 (.f64 1/24 (/.f64 (.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)) (pow.f64 a 2))) (.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3))))
(fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3))) (fma.f64 1/24 (/.f64 rand (/.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3))) (.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3))))
(fma.f64 1/6 (.f64 (/.f64 rand a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3)) (fma.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3) (.f64 1/24 (.f64 (/.f64 rand (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3)))))
(fma.f64 rand (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)) 3) (.f64 (.f64 (/.f64 rand a) (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)) 3)) (+.f64 1/6 (/.f64 1/24 a))))
(+.f64 (.f64 1/6 (/.f64 (.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)) a)) (+.f64 (.f64 5/432 (/.f64 (.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)) (pow.f64 a 3))) (+.f64 (.f64 1/24 (/.f64 (.f64 rand (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)) (pow.f64 a 2))) (.f64 rand (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a))))) 3)))))
(fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3))) (fma.f64 5/432 (/.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3))) (fma.f64 1/24 (/.f64 rand (/.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3))) (.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3)))))
(fma.f64 1/6 (.f64 (/.f64 rand a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3)) (fma.f64 5/432 (.f64 (/.f64 rand (pow.f64 a 3)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3)) (fma.f64 rand (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3) (.f64 1/24 (.f64 (/.f64 rand (*.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/9) (log.f64 (/.f64 -1 a)))) 3))))))
(fma.f64 1/6 (.f64 (/.f64 rand a) (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)) 3)) (fma.f64 rand (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)) 3) (.f64 (.f64 (/.f64 rand (.f64 a a)) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 a) 1/6) (pow.f64 -1/9 1/6)) 3)) (+.f64 1/24 (/.f64 5/432 a)))))

prune272.0ms (8.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	197	7	204

Error

0.0b

Counts

204 → 7

Alt Table

Status	Error	Program
	10.6b	(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
▶	7.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))))
	9.0b	(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 2)
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
✓	0.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)))
	45.6b	(/.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))))
✓	0.3b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))

Compiler

Compiled 5330 to 4301 computations (19.3% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (fma.f64 a 9 -3))
	0.2b	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
✓	0.3b	(pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)
✓	30.1b	(cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))

series14.0ms (0.4%)

Counts

2 → 32

Calls

12 calls:

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

rewrite47.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`log1p-expm1-u_binary64`
893×	`expm1-log1p-u_binary64`
102×	`add-sqr-sqrt_binary64`
97×	`add-log-exp_binary64`
96×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	235	23
2	2507	23

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 rand 3) (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 rand 3) (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3/2) (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) 3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3) (pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)) rand) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)) 1) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)) (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 (*.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)) (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 1 (/.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 rand 3) (pow.f64 (fma.f64 a 9 -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 rand) 3) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 rand 3)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 rand) (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)) rand) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)) 1) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)) (neg.f64 rand)) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)))))))

simplify32.0ms (1%)

Algorithm

1×	egg-herbie

Rules

560×	`associate-r_binary64`
504×	`associate-l_binary64`
405×	`times-frac_binary64`
402×	`fma-def_binary64`
358×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	823
1	282	809
2	1135	734

Stop Event

1×	node limit

Counts

115 → 105

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 -1 (.f64 (.f64 (cbrt.f64 -1) rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))))
(.f64 -1 (.f64 (.f64 (cbrt.f64 -1) rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))))
(.f64 -1 (.f64 (.f64 (cbrt.f64 -1) rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))))
(.f64 -1 (.f64 (.f64 (cbrt.f64 -1) 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 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(*.f64 (pow.f64 (sqrt.f64 -1/3) 3) (pow.f64 rand 3))
(-.f64 (.f64 (pow.f64 (sqrt.f64 -1/3) 3) (pow.f64 rand 3)) (.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 a (pow.f64 rand 3)))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 rand 3)) (sqrt.f64 -1/3))) (.f64 (pow.f64 (sqrt.f64 -1/3) 3) (pow.f64 rand 3))) (+.f64 (.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 a (pow.f64 rand 3)))) (.f64 9/2 (.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 2) (pow.f64 rand 3))))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 rand 3)) (sqrt.f64 -1/3))) (+.f64 (.f64 9/4 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 rand 3)) (sqrt.f64 -1/3))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/3) 3) (pow.f64 rand 3)) (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 rand 3)) (pow.f64 (sqrt.f64 -1/3) 3)))))) (+.f64 (.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 a (pow.f64 rand 3)))) (+.f64 (.f64 27/2 (.f64 (sqrt.f64 -1/3) (.f64 (pow.f64 a 3) (pow.f64 rand 3)))) (.f64 9/2 (.f64 (sqrt.f64 -1/3) (.f64 (pow.f64 a 2) (pow.f64 rand 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 -1 (.f64 (.f64 (cbrt.f64 -1) rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (cbrt.f64 -1))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (neg.f64 (.f64 rand (cbrt.f64 -1))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 (cbrt.f64 -1) (neg.f64 rand)))
(.f64 -1 (.f64 (.f64 (cbrt.f64 -1) rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (cbrt.f64 -1))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (neg.f64 (.f64 rand (cbrt.f64 -1))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 (cbrt.f64 -1) (neg.f64 rand)))
(.f64 -1 (.f64 (.f64 (cbrt.f64 -1) rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (cbrt.f64 -1))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (neg.f64 (.f64 rand (cbrt.f64 -1))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 (cbrt.f64 -1) (neg.f64 rand)))
(.f64 -1 (.f64 (.f64 (cbrt.f64 -1) rand) (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (cbrt.f64 -1))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (neg.f64 (.f64 rand (cbrt.f64 -1))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 (cbrt.f64 -1) (neg.f64 rand)))
(*.f64 (sqrt.f64 -1/3) rand)
(*.f64 rand (sqrt.f64 -1/3))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3))))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) -1/2))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 (/.f64 a (sqrt.f64 -1/3)) (.f64 rand -1/2)))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 3/2 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/8 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (.f64 1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 3/2 (.f64 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) rand) (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 -3/8 (.f64 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) rand)))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (.f64 a a))) 9/8)))
(-.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 9/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 3/2 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/2 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (.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 (.f64 a a) (sqrt.f64 -1/3)) rand) (.f64 -3/8 (.f64 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) rand)))) (fma.f64 1/2 (.f64 (/.f64 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 rand (/.f64 (sqrt.f64 -1/3) (pow.f64 a 3))) (*.f64 -9/4 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (pow.f64 a 3))))))))
(-.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (.f64 a a))) 9/8)) (fma.f64 1/16 (/.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)) rand) 9/4))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(*.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(*.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(*.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(*.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(*.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(*.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(*.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(*.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(*.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(*.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(*.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 3))))
(.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 9 a) 3) 3))))
(*.f64 (pow.f64 rand 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 3))))
(*.f64 (pow.f64 (sqrt.f64 -1/3) 3) (pow.f64 rand 3))
(.f64 (.f64 (sqrt.f64 -1/3) -1/3) (pow.f64 rand 3))
(.f64 -1/3 (.f64 (sqrt.f64 -1/3) (pow.f64 rand 3)))
(-.f64 (.f64 (pow.f64 (sqrt.f64 -1/3) 3) (pow.f64 rand 3)) (.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 a (pow.f64 rand 3)))))
(-.f64 (.f64 (pow.f64 (sqrt.f64 -1/3) 3) (pow.f64 rand 3)) (.f64 (.f64 3/2 (sqrt.f64 -1/3)) (.f64 a (pow.f64 rand 3))))
(fma.f64 (.f64 (sqrt.f64 -1/3) -1/3) (pow.f64 rand 3) (.f64 (.f64 a (.f64 (pow.f64 rand 3) (sqrt.f64 -1/3))) -3/2))
(.f64 (pow.f64 rand 3) (-.f64 (.f64 (sqrt.f64 -1/3) -1/3) (.f64 (sqrt.f64 -1/3) (.f64 3/2 a))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 rand 3)) (sqrt.f64 -1/3))) (.f64 (pow.f64 (sqrt.f64 -1/3) 3) (pow.f64 rand 3))) (+.f64 (.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 a (pow.f64 rand 3)))) (.f64 9/2 (.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 2) (pow.f64 rand 3))))))
(-.f64 (fma.f64 3/8 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) (pow.f64 rand 3))) (.f64 (pow.f64 (sqrt.f64 -1/3) 3) (pow.f64 rand 3))) (fma.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 a (pow.f64 rand 3))) (.f64 9/2 (.f64 (sqrt.f64 -1/3) (.f64 (.f64 a a) (pow.f64 rand 3))))))
(-.f64 (fma.f64 (.f64 (sqrt.f64 -1/3) -1/3) (pow.f64 rand 3) (/.f64 (.f64 (.f64 a a) 3/8) (/.f64 (sqrt.f64 -1/3) (pow.f64 rand 3)))) (fma.f64 3/2 (.f64 a (.f64 (pow.f64 rand 3) (sqrt.f64 -1/3))) (.f64 (.f64 (.f64 a a) (pow.f64 rand 3)) (*.f64 (sqrt.f64 -1/3) 9/2))))
(-.f64 (fma.f64 (sqrt.f64 -1/3) (.f64 -1/3 (pow.f64 rand 3)) (.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (.f64 (.f64 a a) (pow.f64 rand 3)))) (.f64 (pow.f64 rand 3) (+.f64 (.f64 (sqrt.f64 -1/3) (.f64 3/2 a)) (.f64 (sqrt.f64 -1/3) (.f64 9/2 (.f64 a a))))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 rand 3)) (sqrt.f64 -1/3))) (+.f64 (.f64 9/4 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 rand 3)) (sqrt.f64 -1/3))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/3) 3) (pow.f64 rand 3)) (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 rand 3)) (pow.f64 (sqrt.f64 -1/3) 3)))))) (+.f64 (.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 a (pow.f64 rand 3)))) (+.f64 (.f64 27/2 (.f64 (sqrt.f64 -1/3) (.f64 (pow.f64 a 3) (pow.f64 rand 3)))) (.f64 9/2 (.f64 (sqrt.f64 -1/3) (.f64 (pow.f64 a 2) (pow.f64 rand 3)))))))
(-.f64 (fma.f64 3/8 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) (pow.f64 rand 3))) (fma.f64 9/4 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) (pow.f64 rand 3))) (fma.f64 (pow.f64 (sqrt.f64 -1/3) 3) (pow.f64 rand 3) (.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) (pow.f64 rand 3))))))) (fma.f64 3/2 (.f64 (sqrt.f64 -1/3) (.f64 a (pow.f64 rand 3))) (fma.f64 27/2 (.f64 (sqrt.f64 -1/3) (.f64 (pow.f64 a 3) (pow.f64 rand 3))) (.f64 9/2 (.f64 (sqrt.f64 -1/3) (.f64 (.f64 a a) (pow.f64 rand 3)))))))
(-.f64 (fma.f64 3/8 (.f64 (/.f64 (.f64 a a) (sqrt.f64 -1/3)) (pow.f64 rand 3)) (fma.f64 9/4 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) (pow.f64 rand 3))) (fma.f64 (.f64 (sqrt.f64 -1/3) -1/3) (pow.f64 rand 3) (.f64 -3/16 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) (pow.f64 rand 3))))))) (fma.f64 3/2 (.f64 a (.f64 (pow.f64 rand 3) (sqrt.f64 -1/3))) (fma.f64 27/2 (.f64 (pow.f64 a 3) (.f64 (pow.f64 rand 3) (sqrt.f64 -1/3))) (.f64 (.f64 (.f64 a a) (pow.f64 rand 3)) (.f64 (sqrt.f64 -1/3) 9/2)))))
(-.f64 (fma.f64 3/8 (/.f64 (.f64 a a) (/.f64 (sqrt.f64 -1/3) (pow.f64 rand 3))) (fma.f64 (sqrt.f64 -1/3) (.f64 -1/3 (pow.f64 rand 3)) (.f64 (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) (pow.f64 rand 3)) 33/16))) (fma.f64 (sqrt.f64 -1/3) (.f64 (.f64 a a) (.f64 (pow.f64 rand 3) 9/2)) (.f64 (pow.f64 rand 3) (+.f64 (.f64 (sqrt.f64 -1/3) (.f64 3/2 a)) (.f64 (sqrt.f64 -1/3) (.f64 27/2 (pow.f64 a 3)))))))

prune188.0ms (5.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	177	7	184

Error

0.0b

Counts

184 → 7

Alt Table

Status	Error	Program
	10.6b	(+.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) -1/3))
✓	7.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))))
	9.0b	(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 2)
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
✓	0.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)))
	45.6b	(/.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))))
✓	0.3b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))

Compiler

Compiled 4179 to 3335 computations (20.2% saved)

regimes209.0ms (6.4%)

Accuracy

Total 0.1b remaining (64.7%)

Threshold costs 0.1b (64.7%)

Counts

85 → 1

Compiler

Compiled 1645 to 1304 computations (20.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	20	19
2	21	19

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(*.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)))))

end129.0ms (4%)

Stop Event

1×

fuel

Compiler

Compiled 168 to 136 computations (19% saved)

Details

analyze121.0ms (3.7%)

sample1.2s (37.2%)

preprocess42.0ms (1.3%)

simplify68.0ms (2.1%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

series17.0ms (0.5%)

rewrite66.0ms (2%)

simplify32.0ms (1%)

prune185.0ms (5.7%)

localize13.0ms (0.4%)

series54.0ms (1.6%)

rewrite69.0ms (2.1%)

simplify46.0ms (1.4%)

prune281.0ms (8.6%)

localize11.0ms (0.3%)

series23.0ms (0.7%)

rewrite43.0ms (1.3%)

simplify53.0ms (1.6%)

prune272.0ms (8.4%)

localize12.0ms (0.4%)

series14.0ms (0.4%)

rewrite47.0ms (1.5%)

simplify32.0ms (1%)

prune188.0ms (5.8%)

regimes209.0ms (6.4%)

simplify2.0ms (0.1%)

end129.0ms (4%)

Profiling